what is 89 add 78



first ti answer wins brainleast

Answers

Answer 1

89+78=167

Hope this helps

-Moiselle

Answer 2
89 + 78= 167

Hope this helps!

Related Questions

Help meee pls hhhh help answering now

Help meee pls hhhh help answering now

Answers

Answer:

3/8

Step-by-step explanation:

hope this works for you :)

Answer:

the answer is 3/8

Step-by-step explanation:

5/8 + 3/8 = 1

w(a)= a + 3; Find w(a + 4)
HELP ASAP PLEASE

Answers

W (a^2 + 7)
Is this correct

Select the correct answer from the drop-down menu.
Triangle ABC is shown with angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees.
In this triangle, the product of tan A and tan C is
.

Answers

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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8) The base of a 10-ft ladder stands 6 feet from the base of a house. Will the ladder reach 7 feet
high? Justify your answer.
10 ft
6 ft

Answers

The ladder will reach a height of 8 feet, which is greater than 7 feet. So, the ladder will indeed reach 7 feet high, and even higher.

What is Pythagoras theorem?

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse.

According to question:

We can use the Pythagorean theorem to determine if the ladder will reach 7 feet high. Let's let x be the height that the ladder reaches, as shown in the diagram below:

According to the Pythagorean theorem, we have:

\($\begin{align*}x^2 + 6^2 &= 10^2 &= 100 - 36 &= 64 \x &= \sqrt{64} \x &= 8\end{align*}\)

Therefore, the ladder will reach a height of 8 feet, which is greater than 7 feet. So, the ladder will indeed reach 7 feet high, and even higher.

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The likelihood of the frequency of an event in repeated trials under similar conditions is?

Answers

The probability of the frequency of an event in repeated trials under comparable circumstances is a statistical analysis.

What is  Statistical analysis?

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

What accomplishes statistical analysis?

Finding the distribution hidden in your data is the aim of a statistical analysis. What do you mean by the distribution that lies underlying my data? "The distribution of your data describes the peaks and valleys of its characteristics in relation to a target population.

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Question 4 of 25
Which of these could be the graph of F(x) = In x + 1?
51
51
5.
H
5
-5
-5-
B
A
5
-5
D
5

Answers

Answer:

fx 8

Step-by-step explanation:

ao the answer ia fx 8 do times

Let 4 47 A = -1 -1 and b = - 13 - 9 6 18 Define the linear transformation T: R² → R³ by T(x) = Ax. Find a vector whose image under T is b. Is the vector a unique? Select an answer

Answers

The vector is unique. this is correct answer.

To find a vector whose image under the linear transformation T is b, we need to solve the equation T(x) = Ax = b.

Given:

A = 4  47

      -1 -1

b = -13

       -9

        6

Let's find the vector x by solving the equation Ax = b. We can write the equation as a system of linear equations:

4x₁ + 47x₂ = -13

-x₁ - x₂ = -9

We can use various methods to solve this system of equations, such as substitution, elimination, or matrix inversion. Here, we'll use the elimination method.

Multiplying the second equation by 4, we get:

-4x₁ - 4x₂ = -36

Adding this equation to the first equation, we have:

4x₁ + 47x₂ + (-4x₁) + (-4x₂) = -13 + (-36)

This simplifies to:

43x₂ = -49

Dividing by 43:

x₂ = -49/43

Substituting this value of x₂ into the second equation, we get:

-x₁ - (-49/43) = -9

-x₁ + 49/43 = -9

-x₁ = -9 - 49/43

-x₁ = (-9*43 - 49)/43

-x₁ = (-387 - 49)/43

-x₁ = -436/43

So, the vector x is:

x = (-436/43, -49/43)

Now, we can find the image of this vector x under the linear transformation T(x) = Ax:

\(T(x) = A * x = A * (-436/43, -49/43)\)

Multiplying the matrix A by the vector x, we have:

\(T(x) = (-436/43 * 4 + (-49/43) * (-1), -436/43 * 47 + (-49/43) * (-1))\)

Simplifying:

\(T(x) = (-1744/43 + 49/43, -20552/43 + 49/43)\)

\(T(x) = (-1695/43, -20503/43)\)

Therefore, the vector whose image under the linear transformation T is b is:

(-1695/43, -20503/43)

To determine if this vector is unique, we need to check if there is a unique solution to the equation Ax = b. If there is a unique solution, then the vector would be unique. If there are multiple solutions or no solution, then the vector would not be unique.

Since we have found a specific vector x that satisfies Ax = b, and the solution is not dependent on any arbitrary parameters or variables, the vector (-1695/43, -20503/43) is unique.

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Can someone help me please I don’t understand what this is.

Can someone help me please I dont understand what this is.

Answers

Answer:

eeedbashbejn

Step-by-step explanation:

ecdbjshwq d b

Can somebody help me with the geometry equation.

Can somebody help me with the geometry equation.

Answers

Answer:

\(m\widehat{VU}=120^{\circ}\)

Step-by-step explanation:

The angle \(\angle TUV\) forms arc \(\widehat{TV}\). The measure of this arc is twice the measure of angle \(\angle TUV\), since \(U\) is a point on the circle. Since \(\overline{TU}\) forms an arc \(\widehat{TU}\), we can set up the following equation:

\(\widehat{TV}+\widehat{VU}=\widehat{TU}\).

Since arc TU represents half of a circle and there are 360 degrees in a circle, we can substitute the following values and solve for the measure of arc VU:

\(\\2\cdot 30^{\circ}+\widehat{VU}=180^{\circ},\\60^{\circ}+\widehat{VU}=180^{\circ},\\m\widehat{VU}=\boxed{120^{\circ}}\)

√21 √9/√63 indadicate opretion and simplifying

Answers

Sorry in my keyboard there is no symbol for squareroot

21 9/63 indadicate opretion and simplifying

what do points (2, 4) and (4, 3) in the figure have in common?

Answers

The distance between coordinates (2, 4) and (4, 3) is found to be √5.

The coordinates (2, 4) and (4, 3) in a figure are the endpoints of a line segment.

A line segment is the part of the line that connects two distinct points.

It has a definite length, and it is bounded at each end by a point. Therefore, the two points have this in common.

The distance between the points (2, 4) and (4, 3) can be calculated using the distance formula.

The distance formula for two points on a coordinate plane, (x1, y1) and (x2, y2), is as follows:

Distance = √(x2 − x1)2 + (y2 − y1)2

Using this formula for (2, 4) and (4, 3), we get:

Distance = √(4 − 2)2 + (3 − 4)2

= √22 + (−1)2= √4 + 1

= √5

Therefore, the distance between (2, 4) and (4, 3) is √5.

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if a and b are independent events with p(a) = 0.60 and p( a|b )= 0.60, then p(b) is:

Answers

To find the value of p(b), we can use the formula for conditional probability:

p(a|b) = p(a ∩ b) / p(b)

Since a and b are independent events, p(a ∩ b) = p(a) * p(b). Substituting this into the formula, we have:

0.60 = (0.60 * p(b)) / p(b)

Simplifying, we can cancel out p(b) on both sides of the equation:

0.60 = 0.60

This equation is true for any value of p(b), as long as p(b) is not equal to zero. Therefore, we can conclude that p(b) can be any non-zero value.

In summary, the value of p(b) is not uniquely determined by the given information and can take any non-zero value.

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Drag each number to show whether or not it is a solution to the inequality.
Inequality: 42x - 12 ≤ 24

( 10, 9 , -5, 12.5 , 0 )

Solution to the inequality
42x - 12 ≤ 24

NOT a solution to the inequality 42x - 12 ≤ 24​

Drag each number to show whether or not it is a solution to the inequality.Inequality: 42x - 12 24 (

Answers

Step-by-step explanation:

A linear inequality is given to us and we need to drag each number to show whether or not it is a

solution to the inequality .The given inequality to us is ,

\(\bf\implies 4x - 12 \leq 24 \\\\\bf\implies 4x \leq 24+12 \\\\\bf\implies 4x \leq 36 \\\\\bf\implies x \leq \dfrac{36}{4}\\\\\bf\implies x\leq 9\\\\\bf\implies \boxed{\red{\bf x \in [9,-\infty ) }}\)

Hence , x can have all values less than or equal to 9. That is x E [ 9 , -∞ ) .

Options provided to us are ,

10 6 9(-5) 12.50

Hence values less than or equal to 9 are 9 , 6 , (-5) and 0 .

Mr. Yasger pays $174 every 4 months for guitar lessons. At this rate, how much will he pay for 3 years of guitar lessons? (Hint: How many months are in a year?)

Answers

There are 12 months in a year so if he pays every 4 months, he pays 3 times a year or $522 in total for a year (174 x 3 = 522). If he has pays that for three years it would be $1,566 (522 x 3).

help please
15 − 20 + (−15) + (+20)=​

Answers

Answer:

-5+5

= 0

Step-by-step explanation:

Answer:

-5+5

= 0

Step-by-step explanation:

Let us also recall that it took the bus 36 s to cover 400 m, that the student was 200 m ahead of the bus, and it took the student 1.70 s to accelerate.

(a) What is the distance covered by the bus, from the moment the student starts chasing it and till the moment when the bus passes by the stop? You can use either equations or the v(t) graph. Give your answer in meters.

(b) What is the distance covered by the students in these 36 s (from the beginning of her race and till the bus passes by the stop)? You can use either equations or the v(t) graph. Give your answer in meters.

(c) Hence, by how much does the student miss the bus? Give the answer in meters. Use your answers from parts (a) and (b)

Answers

(c) The student misses the bus by the difference between the total distances covered by the bus and the student.

(a) To determine the distance covered by the bus from the moment the student starts chasing it until the moment the bus passes by the stop, we need to consider the relative motion between the bus and the student. Let's break down the problem into two parts:

1. Acceleration phase of the student:

During this phase, the student accelerates until reaching the bus's velocity. The initial velocity of the student is zero, and the final velocity is the velocity of the bus. The time taken by the student to accelerate is given as 1.70 s.

Using the equation of motion:

v = u + at

where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can calculate the acceleration of the student:

a = (v - u) / t

  = (0 -\(v_{bus}\)) / 1.70

Since the student starts 200 m ahead of the bus, we can use the following kinematic equation to find the distance covered during the acceleration phase:

s = ut + (1/2)at^2

Substituting the values:

\(s_{acceleration}\) = (0)(1.70) + (1/2)(-\(v_{bu}\)s/1.70)(1.70)^2

              = (-\(v_{bus}\)/1.70)(1.70^2)/2

              = -\(v_{bus}\)(1.70)/2

2. Constant velocity phase of the student:

Once the student reaches the velocity of the bus, both the bus and the student will cover the remaining distance together. The time taken by the bus to cover the remaining distance of 200 m is given as 36 s - 1.70 s = 34.30 s.

The distance covered by the bus during this time is simply:

\(s_{constant}_{velocity} = v_{bus}\) * (34.30)

Therefore, the total distance covered by the bus is:

Total distance = s_acceleration + s_constant_velocity

              = -v_bus(1.70)/2 + v_bus(34.30)

Since the distance covered cannot be negative, we take the magnitude of the total distance covered by the bus.

(b) To determine the distance covered by the student during the 36 s, we consider the acceleration phase and the constant velocity phase.

1. Acceleration phase of the student:

Using the equation of motion:

s = ut + (1/2)at^2

Substituting the values:

\(s_{acceleration}\) = (0)(1.70) + (1/2\(){(a_student)}(1.70)^2\)

2. Constant velocity phase of the student:

During this phase, the student maintains a constant velocity equal to that of the bus. The time taken for this phase is 34.30 s.

The distance covered by the student during this time is:

\(s_{constant}_{velocity} = v_{bus}\) * (34.30)

Therefore, the total distance covered by the student is:

Total distance =\(s_{acceleration} + s_{constant}_{velocity}\)

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Current assets Cash Accounts receivable Inventory Total Fixed assets Net plant and equipment Total assets AVILA, INC. Balance Sheets as of December 31, 2020 and 2021 (in 000s) 2020 2021 Assets $ 210 $ 180 325 325 - 180 315 $ 715 $ 820 $1,500 $1,650 $2,215 $2,470 2020 Liabilities and Owners' Equity Current liabilities Accounts payable Notes payable Total Long-term debt Owners' equity Common stock Accumulated retained earnings Total Total liabilities and owners' equity $250 $ 260 $ 510 $ 2021 $705 $ 300 260 560 $1,000 $1,120 $ 305 $ $ 400 $ 282 508 790 $2,215 $2,470 AVILA, INC. 2021 Income Statement (in 000s) Sales Cost of goods sold Depreciation EBIT Interest paid Taxable income Taxes Net income Dividends Retained earnings 59 $ 180 108 $ $ . . $ $ 1,350 850 40 460 95 365 77 288 Determine the cash flow from assets (including the operating cash flow, net capital spending. and change in net working capital), cash flow to creditors, and cash flow to stockholders for AVILA, Inc. for the year 2021. (Express your answers in thousands of dollars. Round your answer to the nearest whole dollar amount (e.g., 32). Negative amounts should be indicated by a minus sign.). Operating Cash Flow Net Capital Spending Change in NWC Cash Flow From Assets Cash Flow to Creditors Cash Flow to Stockholders ᏌᏊ Ꮚ Ꮚ Ꮚ ᏌᏊ ᏌᏊ Calculate the internal growth rate and the sustainable growth rate for AVILA, Inc. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places (e.g., 32.16).) Internal Growth Rate Sustainable Growth Rate % Explain the difference in the assumptions underlying the internal and sustainable growth rates.

Answers

Cash flow from assets is used to determine the changes in the cash balance of a company. Net capital spending is the amount that the company has invested into its business, which includes capital expenditure, net of depreciation.

As Operating cash flow = EBIT + Depreciation – Taxes

= $460 + $108 – $95 = $473 (in thousands)

We know, Net capital spending = Ending Net Fixed Assets – Beginning Net Fixed Assets + Depreciation

= $315 – $180 + $40

= $175 (in thousands)

Change in NWC = Ending NWC – Beginning NWC

= $260 – $180 = $80 (in thousands)

As Cash flow from assets = Operating cash flow – Net capital spending – Change in NWC

= $473 – $175 – $80

= $218 (in thousands)

Cash flow to creditors = Interest paid – Net new borrowing

= $95 – $50 = $45 (in thousands)

We know, Cash flow to stockholders = Dividends – Net new equity raised

= $77 – $282

= -$205 (in thousands)

To calculate the internal growth rate, we need to find out the sustainable rate of return and the plowback ratio. Sustainable rate of return = (1 - Dividend payout ratio) x Return on equity (ROE)

= (1 - $77/$288) x $288/$1,500

= 0.70 x 0.192

= 0.1344

Plowback ratio = Addition to retained earnings ÷ Net income

= ($288 – $77) ÷ $288

= 0.7326

Internal growth rate = Sustainable rate of return x Plowback ratio

= 0.1344 x 0.7326

= 0.0985 or 9.85%

As Sustainable growth rate = (ROE x Retention ratio) ÷ (1 - ROE x Retention ratio)

= ($288/$1,500) x (1 - $77/$288) ÷ (1 - $288/$1,500 x (1 - $77/$288)

= 0.192 x 0.7326 ÷ (1 - 0.192 x 0.7326)

= 0.1415 or 14.15%

The internal growth rate is the maximum growth rate a company can achieve without raising additional equity or debt, assuming that the company doesn't pay any dividends.

Sustainable growth rate is defined as the maximum growth rate that any company can achieve without raising additional equity or debt and assuming that company maintains a constant debt-to-equity ratio.

The difference between the two is that the internal growth rate assumes that a company can't raise additional equity or debt, while the sustainable growth rate assumes that a company can raise equity or debt to maintain a constant debt-to-equity ratio.

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Find m∠1. 40° 50° 65° 70°

Find m1. 40 50 65 70

Answers

Answer:

50 degrees

Step-by-step explanation:

First, look at the exterior angle with the measure of 140 degrees. The corresponding interior angle has a measure of 40 degrees. Add together 90 and 40 and subtract that sum from 180

180 - (90 + 40)      Add in the parentheses

180 - 130               Subtract

50 degrees

the answer is 50 degrees

explanation: at the bottom of the triangle you get a supplementary angle which when you add both angles up they equal 180 degrees and one of the angles are 140. se you subtract 140 from 180 and you get 40 degrees. they also give you the value of an angle inside of the triangle which is 90 degrees because of the square in the bottom left. now that you have two angles (40 & 90) add them up subtract them from 180 and you get 50.

hope this helped

A sign says that the price marked on all music equipment is 30% off the original price. You buy an electric guitar for the sale price of $315.

Answers

Answer:

figure it out

Step-by-step explanation:

Answer:10 dollars and 50 cents

Step-by-step explanation:315 divided by 30

Graph the equation
Y= 1/4x^2-2x

Answers

See attached

(If this is incorrect, please add in parentheses so I can make sure I have the order correct. Thank you.)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Graph the equationY= 1/4x^2-2x

Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = x4 − 8x2 + 9
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)

Answers

The interval on which the function f(x) = x^4 - 8x^2 + 9 is increasing can be expressed in interval notation as (-∞, -2) ∪ (2, ∞). The interval on which the function is decreasing can be expressed as (-2, 2).

To determine the intervals of increasing and decreasing, we need to examine the derivative of the function. Taking the derivative of f(x) with respect to x gives us f'(x) = 4x^3 - 16x. To find the intervals of increasing and decreasing, we need to analyze the sign of the derivative. The derivative is positive when x < -2 and x > 2, indicating an increasing function. The derivative is negative when -2 < x < 2, indicating a decreasing function.

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A composite figure is shown.




Which of the following represents the total area of the figure

A. 10.663 in2

B. 24.413 in2

C. 28.448 in2

D. 34.355 in2

A composite figure is shown.Which of the following represents the total area of the figure A. 10.663

Answers

Answer:

B- 24.413

Step-by-step explanation:

3.3*3.15=10.395

10.395/2=5.1975

To find the right side of the bottom triangle- 6.3-3.15=3.15

3.15*3=9.45

9.45/2=4.725

4.6*3.15=14.49

Adding all the areas

14.49+4.725+5.1975=24.4125

24.4125 rounded is 24.413

If Profit Tk.100000 from reduced tk. 190000. What will be the profit reduce rate

Answers

Answer:

the profit reduced rate is -0.4737

Step-by-step explanation:

The calculation of the profit reduced rate is given below:

= (100,000 - 190,000)÷ (190,000)

= -90,000 ÷ 190,000

= -0.4737

hence, the profit reduced rate is -0.4737

We simply determine the difference and then divided it by 190,000

big pp big ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig pp​

Answers

im only here because i want 50 points

Simplify the expression.

Simplify the expression.

Answers

4x^2y^4√3y & D

-------------------------

Hope this helps

Mark brainliest please

Which is the solution of this system of equations?
y=5x-8
3y=x+18
Answers:
x=7, y=3 x=4, y=12
x=3, y=7 x=0, y=6

Answers

Answer:y=12

Step-by-step explanation:

Answer:

y=12

Step-by-step explanation:

i hope it was helpful

2 + 2 is ????????????????????

Answers

Answer:

4

Step-by-step explanation:

2+2=4

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Small pizzas at Ponnie's Pizza are cut into 6 pieces. The circumference of a small pizza is 12π inches. A large pizza is cut into 8 pieces. The diameter of a large pizza is 16 inches.

Joannie eats 2 slices of a small pizza. Mark eats 5 slices of a large pizza.

How many times greater are the square inches of pizza that Mark ate than the square inches of pizza that Joannie ate?

Enter your answer, rounded to the nearest tenth, in the box.

Answers

Answer:

Mark ate 3.3 times the square inches of pizza than Joannie ate.

Step-by-step explanation:

Small pizza

The formula for the circumference of a circle is C = 2πr (where r is the radius). If the circumference of a small pizza is 12π inches, then its radius is:

\(\implies \sf Radius_{small\;pizza}=\dfrac{circumference}{2\pi}=\dfrac{12\pi}{2\pi}=6\;inches\)

The formula for the area of a circle is A = πr² (where r is the radius).

Therefore, the area of a small pizza is:

\(\implies \sf Area_{small\;pizza}=\pi \cdot 6^2=36\pi \; in^2\)

If the small pizzas are cut into 6 congruent pieces, the area of one slice of small pizza is:

\(\begin{aligned}\implies \sf Area_{small\;slice}&=\sf \dfrac{Area_{small\;pizza}}{6}\\\\&=\dfrac{36 \pi}{6}\\\\&=6 \pi \; \sf in^2\end{aligned}\)

Therefore, the area of one slice of small pizza is 6π square inches.

\(\hrulefill\)

Large pizza

The diameter of a circle is twice its radius.

If the diameter of a large pizza is 16 inches then its radius is:

\(\implies \sf Radius_{large\;pizza}=\dfrac{diameter}{2}=\dfrac{16}{2}=8\;inches\)

The formula for the area of a circle is A = πr² (where r is the radius).

Therefore, the area of a large pizza is:

\(\implies \sf Area_{large\;pizza}=\pi \cdot 8^2=64 \pi \; in^2\)

If the large pizzas are cut into 8 congruent pieces, the area of one slice of large pizza is:

\(\begin{aligned}\implies \sf Area_{large\;slice}&=\sf \dfrac{Area_{large\;pizza}}{8}\\\\&=\dfrac{64 \pi}{8}\\\\&=8 \pi \; \sf in^2\end{aligned}\)

Therefore, the area of one slice of large pizza is 8π square inches.

\(\hrulefill\)

If Joannie eats 2 slices of small pizza, the square inches of pizza she ate is:

\(\implies \sf Joannie=2 \times 6 \pi = 12 \pi\;in^2\)

If Mark eats 5 slices of large pizza, the square inches of pizza he ate is:

\(\implies \sf Mark =5 \times 8 \pi = 40\pi\;in^2\)

To calculate how many times greater are the square inches of pizza that Mark ate than the square inches of pizza that Joannie ate, divide the area Mark ate by the area Joannie ate:

\(\implies \sf \dfrac{40 \pi}{12 \pi} = \dfrac{10}{3}=3.3\;(nearest\;tenth)\)

Therefore, Mark ate 3.3 times the square inches of pizza than Joannie ate.

Small pizzas at Ponnie's Pizza are cut into 6 pieces. The circumference of a small pizza is 12 inches.

What is the answer to 16> 1.5 + 0.8b

Answers

Answer:

16>2.3b

Step-by-step explanation:

1.5+0.8=2.3

Substitute b as 1. Which would still keep it as 2.3.

Can you solve for X inside the correct code for question four?

Can you solve for X inside the correct code for question four?

Answers

Answer

CIAD

Step-by-step explanation

The Pythagorean theorem states:

\(c^2=a^2+b^2\)

where a and b are the legs and c is the hypotenuse of a right triangle.

Applying this theorem to triangle 1:

\(\begin{gathered} x^2=77^2+36^2 \\ x^2=5929+1296 \\ x^2=7225 \\ x=\sqrt{7225} \\ x=85 \end{gathered}\)

Then, the first letter is C.

Applying the theorem to triangle 2:

\(\begin{gathered} x^2=39^2+80^2 \\ x^2=1521+6400 \\ x^2=7921 \\ x=\sqrt{7921} \\ x=89 \end{gathered}\)

Then, the second letter is I.

Applying the theorem to triangle 3:

\(\begin{gathered} x^2=25^2+100^2 \\ x^2=625+10000 \\ x^2=10625 \\ x=\sqrt{10625} \\ x=103.08 \end{gathered}\)

Then, the third letter is A.

Applying the theorem to triangle 4:

\(\begin{gathered} x^2=17^2+52^2 \\ x^2=289+2704 \\ x^2=2993 \\ x=\sqrt{2993} \\ x=54.71 \end{gathered}\)

Then, the fourth letter is D.

Other Questions
Sketch the region bounded by the given curves, then find the centroid of its area. 1. x = 8 - y, x = y 8 2. y = x 3x, y = x COuld somebody help me out PLEASE HELP ILL GIVE BRAINLYIST A satisfied need ________. A) leads to lethargy B) is a motivator C) is not a motivator D) increases energy E) none of these suppose that karen, sue, and peter all work 10 hours a day. in an hour, karen can make one widget or 3 thingamajigs. in an hour, sue can make one widget or one thingamajig. in an hour, peter can make 3 widgets or one thingamajig. if they all split their time evenly between making widgets and thingamajigs, how many thingamajigs can they make? Nick is a distance runner. He ran a mile race in Seattle Washington in a time of 4 minutes and2 seconds. Two weeks later at a meet in Vancouver he ran a 1500 m race in a time of 3 minutesand 59 seconds. In which race was his average speed the fastest. (convert to feet per second) Find the probability that when a couple has six children, at least one of them is a boy. (Assume that boys and girls are equally likely.) How would you describe the group?. Consider the opamp shown below. Assuming an ideal opamp:a) Calculate vo as function of v1, v2 and v3b) What is the input resistance seen by v2 alone?c) What is the input resistance seen by v3 alone?d) What is the differential input resistance seen by a source connected between the inputterminals 1 and 3?e) How should the resistance ratios be selected for the circuit to provide the following transferfunction: vo=Adiff(v3-v1) -A2v2 a bomb calorimeter can provide a close approximation for the amount of energy that will be produced by the body through the process of metabolism. State True or False your answer: a. Trueb. False 2. PART B: Which detail from the text best supports the answer to Part A?Jewish refugees on the st louis if x is a factor of y and y is a factor z, then x is a factor of z. true or false all of the following contributed to the end of the political order depicted on the map except a) armed rebellions in eastern european states against soviet ruleb) continued economic weakness in the soviet union following gorbachevs reforms and the arms race with the united statesc) the unsuccessful soviet military intervention in afghanistand) the explanation of military spending Charlie builds sailboats for a shipyard. He builds various sizes of sailboats such that the speed of the sailboat (with the wind), f(x), in knots, largely depends on the length of the sail, x, in feet, and is twice the square root of its length.Dan also builds sailboats, but for another shipyard. The function gives the relationship between the speed of the sailboat, g(x), in knots, and length of the sail, x, in feet: The general solution of e x cosydxe x sinydy=0 is :__________ an ice cream shop has 8 varieties of ice cream. assuming there is plenty of each kind, in how many ways can you choose 5 pints of ice cream? Calculating the inflation rate with a basket of goods and services that are allowed to shift and evolve over time to reflect the substitution bias can help reduce biases in the CPI.True or False Martin is trying to decide which one of the following bonds he should purchase. All the bonds have the same maturity date and all have approximately the same level of risk. The general level of interest rates is declining. Martin is in the 33 percent federal income tax bracket and the 6 percent state income tax bracket. The municipal bonds are from his home state.Bond Type of bondA CorporateB CorporateC MunicipalD MunicipalBond Characteristics7.2%, callable7% non-callable4.75% nWhich bond should Martin purchase if he wishes to hold it for the long term?Question 48 options:A)bond A because it has the highest yield and is unlikely to be called when rates are decliningB)bond B because it has the highest after tax yield and is unlikely to be called when rates are decliningC)bond C because bond D is likely to be calledD)bond D because it has the highest after tax yield and is unlikely to be called when rates are declining How do you find pKa1 and pKa2 from a titration curve? OScience Application: An atom consists of charged particles calledelectrons and protons. Each proton has a charge of +1 and eachelectron has a change of -1. Remember number of electrons is equalto number of protons, while answering these questions(a) What is the change on an atom?(b) What will be the change on an atom fit loses an electron?(c) What will be the charge on an atom if it gains an electron?