triangle has one angle that measures 64 degrees, one angle that measures 42 degrees, and one angle that measures 74 degrees. What kind of triangle is it?​ ACUTE

Answer:

320 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm assuming your trying to find the weight of the math book so here it is:

Answer:

4 5/36

Step-by-step explanation:

You'd have to do 18 7/8 - 14 7/9 but you can't subtract them yet because they don't have common denominators. So, you have to multiply the 7/8 by 9 and the 7/9 by 8. Then you would get 63/72 and 56/72. Then you put that into the equation and get, 18 63/72 - 14 53/72. If you subtract those, you get the answer, 4 10/72. Which can be simplified as 4 5/36.

Answer:

52 years

Step-by-step explanation:

Since the mean age of 5 people in that room is 28 years,

∴ Sum₍₅₎= (28×5) years

             = 140 years

Then, one person enters the room which makes the mean age 32 years.

∴Sum₍₆₎= (32×6)years

             = 192 years

∴The age of the person who enters the room= (192 - 140) years

                                                                             = 52 years

The two records that are farthest from each other in terms of Euclidean distance are record 3 and record 5.

To calculate the Euclidean distance between two records, we need to compute the square root of the sum of the squared differences between their normalized Age and Income values.

Given the Age and Income data for five records, we can start by applying min-max normalization to transform the values onto the range [0.0, 1.0]. Let's denote Age_normalized and Income_normalized as the normalized values for Age and Income, respectively.

Next, we can calculate the Euclidean distance between each pair of records using the formula:

Distance = √((Age_normalized2 - Age_normalized1)² + (Income_normalized2 - Income_normalized1)²)

Calculating the Euclidean distance for each pair of records, we find:

Distance(1,2) = √((0.2 - 0.1)² + (0.5 - 0.6)²) = √(0.01 + 0.01) = √0.02 ≈ 0.1414

Distance(1,3) = √((0.1 - 0.0)² + (0.3 - 0.9)²) = √(0.01 + 0.36) = √0.37 ≈ 0.6083

Distance(1,4) = √((0.4 - 0.1)² + (0.7 - 0.5)²) = √(0.09 + 0.04) = √0.13 ≈ 0.3606

Distance(1,5) = √((0.3 - 0.3)² + (0.2 - 0.8)²) = √(0.0 + 0.36) = √0.36 ≈ 0.6000

Distance(2,3) = √((0.1 - 0.0)² + (0.3 - 0.9)²) = √(0.01 + 0.36) = √0.37 ≈ 0.6083

Distance(2,4) = √((0.4 - 0.1)² + (0.7 - 0.5)²) = √(0.09 + 0.04) = √0.13 ≈ 0.3606

Distance(2,5) = √((0.3 - 0.3)² + (0.2 - 0.8)²) = √(0.0 + 0.36) = √0.36 ≈ 0.6000

Distance(3,4) = √((0.4 - 0.1)² + (0.7 - 0.5)²) = √(0.09 + 0.04) = √0.13 ≈ 0.3606

Distance(3,5) = √((0.3 - 0.3)² + (0.2 - 0.8)²) = √(0.0 + 0.36) = √0.36 ≈ 0.6000

Distance(4,5) = √((0.3 - 0.3)² + (0.2 - 0.8)

²) = √(0.0 + 0.36) = √0.36 ≈ 0.6000

From the distances calculated, we can see that the farthest distance is between record 3 and record 5, which is approximately 0.6000.

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Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

The equals sign (=) must appear in an equation. You can think of an equation as having a left and a right side since there will be a mathematical expression on either side of it. Consider an equation to be a set of scales. Although you can use different amounts on either side, for it to be solved, each side must be equally balanced .An unknown will always be present in an algebraic equation. This is symbolized by a symbol, such x, y, or z.

Here,

We must calculate the product of 3x(\(x^{2}\) + 4).

In light of the query

Follow all of the instructions listed below to obtain the equation's product.

Equation; 3x(\(x^{2}\) + 4).

Then,

The product of the equation is,

=>3x(\(x^{2}\) + 4).

=>3\(x^{3}\) + 12x

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The distance travelled by the missile is 1210 feet after 11 seconds given that the missile is at 130 feet after 1 second and at 240 feet after 2 seconds.

Given that the missile is at 130 feet after 1 second and at 240 feet after 2 seconds.

We need to find out how long it will take to reach the point where the missile will be after 11 seconds.

Let's first find out the velocity of the missile using the formula given below;

Velocity, v = change in distance/ change in time

At 1 second, distance = 130 feet,

and at 2 seconds, distance = 240 feet

change in distance = 240 - 130

= 110 feet

change in time = 2 - 1

= 1 second

v = 110/1

v = 110 feet/second

We can use this value of velocity to find the distance travelled by the missile after 11 seconds using the formula given below;

distance travelled, d = v * t

where t is the time taken to travel the distance.

Distance travelled,

d = 110 feet/second * 11 second

d = 1210 feet

Therefore, the missile will be at a distance of 1210 feet after 11 seconds.

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Answer:

5 nights.

Step-by-step explanation:

215=35x+40

Answer:

\(\frac{\sqrt{2 + \sqrt{3} } }{2}\)

The exact value of \(sin\frac{5\pi }{12}\) is \(\frac{\sqrt{2+\sqrt{3} } }{2}\).

The exact values of trigonometric functions are values of trigonometric functions of certain angles that can be expressed exactly using expressions containing real numbers and roots of real numbers.

According to the given question, we have

A trigonometric function, \(sin\frac{5\pi }{12}\)

Now, the exact value of \(sin\frac{5\pi }{12}\)   is given by

\(sin\frac{5\pi }{12} = sin\frac{\frac{5\pi }{6} }{2}\)

⇒\(sin\frac{\frac{5\pi }{6} }{2} =\)±\(\sqrt{\frac{1-cos\frac{5\pi }{6} }{2} }\)

⇒\(sin\frac{\frac{5\pi }{6} }{2}\) =±\(\sqrt{\frac{1-cos(\pi -\frac{\pi }{6}) }{2} }\)

⇒\(sin\frac{\frac{5\pi }{6} }{2} =\) ±\(\sqrt{\frac{1+cos\frac{\pi }{6} }{2} }\)

⇒ \(sin\frac{\frac{5\pi }{6} }{2} =\) ± \(\sqrt{\frac{1+\frac{\sqrt{3} }{2} }{2} }\)

⇒\(sin\frac{\frac{5\pi }{6} }{2}\) =± \(\sqrt{\frac{2+\sqrt{3} }{4} }\)

⇒\(sin\frac{\frac{5\pi }{6} }{2} = \frac{\sqrt{2+\sqrt{3} } }{2}\)   (considering positive value)

Since, \(sin\frac{5\pi }{12}\) lies in first quadrant and sin is positive in first quadrant. Therefore, we will consider only positive value.

Hence, the exact value of \(sin\frac{5\pi }{12}\) is \(\frac{\sqrt{2+\sqrt{3} } }{2}\).

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The domain of the following function: R: [(3,5), (8,6), (2,1), (8,6) is D. [2,3,8]

A function in mathematics is a relationship between two sets of values known as the domain and the range that allots a different element of the range to each element of the domain. A function, then, is a rule that links each input value (also known as an independent variable) to a corresponding output value (also called dependent variable).

Typically, the x-variable represents the input values while the y-variable represents the output values. A function is represented by the notation f(x), where x is the input variable and f is the name of the function. The domain of a function is the set of all possible input values.

Thus,

x-coordinates are: 3, 8, and 2.

Therefore, the domain of the function is D. [2,3,8]

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Answer:

The length of the base of this parallelogram is 34.2

Step-by-step explanation:

To calculate the length, we work backward and calculate the base by doing area/height

We have 690.84/20.2 = 34.2

I hope this explained your confusion

Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

Respuesta:

A.) BA = 12 m

Explicación paso a paso:

Usando triángulos similares:

BA / AC = DE / EC

BA = x; AC = 20; DE = 3; EC = 5

POR ESO ; TENEMOS :

x / 20 = 3/5

Multiplicar en cruz:

5 * x = 20 * 3

5 veces = 60

5x / 5 = 60/5

x = 12

The TCF associated with the purchase of this machine is -$32,000, indicating a net cash outflow of $32,000 over the 5-year period.

We need to take into account the initial cost, depreciation, salvage value, inventory increase, and the effect on earnings before depreciation and taxes (EBDT) when calculating the Total Cash Flow (TCF) associated with the purchase of the new machine.

Information provided:

New machine cost: $90,000

Deterioration period: 5 years

Assessed rescue worth of new machine following 5 years: Cost of the current machine: $25,000 $60,000

Deterioration time of current machine: Current machine's salvage value in five years: $36,000 More of the new machine's stock: $3,000

Expanded EBDT yearly because of new machine: The marginal tax rate is $56,000. 34 percent Now let's figure out the TCF:

Ascertain the devaluation cost for the two machines:

Depreciation costs for the new machine are as follows: (Cost - Salvage value) / Life; depreciation costs for the current machine are as follows: (Cost - Salvage value) / Life; depreciation costs for the new machine are as follows: (90,000 - $25,000) / 5 = $13,000; depreciation costs for the current machine are as follows: (60,000 - $36,000) / 5 = $4,800.

The annual increase in earnings before depreciation and taxes (EBDT) can be calculated by multiplying the tax savings for the new machine by the depreciation expense, multiplied by the tax rate, and the tax savings for the current machine by the depreciation expense, multiplied by the tax rate.

The net cash inflow resulting from the increased EBDT can be calculated as follows: EBDT increase = Increased EBDT - Tax savings for the current machine EBDT increase = $56,000 - $1,632 = $54,368

The net cash inflow is equal to the EBDT increase minus the tax rate. The net cash inflow is equal to $35,899.52 minus the 0.34 percent figure.

Absolute money surge = Cost of new machine + Expanded stock

Absolute money surge = $90,000 + $3,000 = $93,000

Compute the rescue worth of the ongoing machine toward the finish of its 5-year life:

The machine's salvage value is $36,000. At the end of five years, the total cash inflow will be as follows:

All out cash inflow = Rescue worth of new machine + Rescue worth of current machine

All out cash inflow = $25,000 + $36,000 = $61,000

Ascertain the TCF:

The TCF associated with the purchase of this machine is -$32,000, indicating a net cash outflow of $32,000 over the course of the five years. TCF = Total cash inflow - Total cash outflow TCF = $61,000 - $93,000 = -$32,000

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Answer:

Given equation: x + 2y = 7

Rearrange the given equation to make y the subject:

      \(\sf x + 2y = 7\)

\(\sf \implies 2y=7-x\)

\(\sf \implies y = \dfrac12(7-x)\)

Now input the given x-values into the equation to determine the y-values:

\(\sf x=-2\implies y = \dfrac12(7-(-2))=4.5\)

\(\sf x=-1\implies y = \dfrac12(7-(-1))=4\)

\(\sf x=0\implies y = \dfrac12(7-0)=3.5\)

\(\sf x=1\implies y = \dfrac12(7-1)=3\)

\(\sf x=2\implies y = \dfrac12(7-2)=2.5\)

\(\sf x=3\implies y = \dfrac12(7-3)=2\)

As ordered pairs: (-2, 4.5)  (-1, 4)  (0, 3.5)  (1, 3)  (2, 2.5)  (3, 2)

Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.

Answer:

B. vertical

Step-by-step explanation:

it is vertical because it shares the same x-axis

Answer:

from my to falls left to right.

Answer:

3

Step-by-step explanation:

Let's denote the number of apples the thief originally stole as 'x'.

According to the given information, when the thief met the first watchman, he gave away half of the apples he had (x/2) and 2 more. So, the number of apples remaining with the thief after this encounter would be (x/2) - 2.

When the thief met the second watchman, he again gave away half of the apples he had at that point, which is [(x/2) - 2]/2, and 2 more. So, the number of apples remaining with the thief after this encounter would be [(x/2) - 2]/2 - 2.

Finally, when the thief met the third watchman, he repeated the same process. He gave away half of the remaining apples, which is {[(x/2) - 2]/2 - 2}/2, and 2 more. So, the number of apples remaining with the thief after this encounter would be {[(x/2) - 2]/2 - 2}/2 - 2.

According to the given information, the thief managed to escape with 1 apple. Therefore, we can set up the following equation:

{[(x/2) - 2]/2 - 2}/2 - 2 = 1

Now we can solve this equation to find the value of 'x':

{[(x/2) - 2]/2 - 2}/2 - 2 = 1

[(x/2) - 2]/2 - 2 = 1 + 2

[(x/2) - 2]/2 = 3 + 2

[(x/2) - 2]/2 = 5

(x/2) - 2 = 5 * 2

x/2 - 2 = 10

x/2 = 10 + 2

x/2 = 12

x = 12 * 2

x = 24

Therefore, the thief originally stole 24 apples.

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Answer:

Can you convert pounds to dollars?

Step-by-step explanation:

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Total 400 calories is expected to have a meal has 300 calories from fat  the relationship between the total calories a meal has and the number of calories from fat .

A scatter plot is a collection of dots that have been plotted along a horizontal and vertical axis. Statistics uses scatter plots because they can display the degree of connection, if any, between values of observable quantities or events (called variables). There are points on a scatter (XY) plot that depict the connection between two sets of data. The sample illustrates the weight and height of one person for each dot. Data points are plotted on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another. The values of the columns selected on the X and Y axes determine where each row in the data table is represented by a marker, whose position.

given

300 calories from fat

total = 100 + 100 + 200

= 400 calories

Total 400 calories is expected to have a meal has 300 calories from fat  the relationship between the total calories a meal has and the number of calories from fat .

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Answer:

17

Step-by-step explanation:

purple triangle= 10

circle=5

square=4

pink triangle=2

Answer:

The missing number would be 17.

Step-by-step explanation:

1 equilateral triangle = 10

1 circle = 5

1 isosceles triangle = 2

When you add one of each of those together; 10+5+2, you get 17.

Answer:

Step-by-step explanation:

answer is 98 degree because the relation between missing angle and 98 degree is alternate exterior angles and alternate exterior angles are always equal.

answer is 89 degree because the relation between missing angle and 89  degree is corresponding angles and corresponding angles are always equal.

in the 5th question

let's consider the angle there as A so angle A is 98 degree and by the relation of alternate angles the question mark (?) is 98 degree

in 6th question

by the relation of corresponding angles the question mark(?) is 89 degree

Answer:

$506.025

Step-by-step explanation:

$750 - 25% = $750 - $187.5

$562.25 - 10% = $562.25 - 56.225

Answer:

Step-by-step explanation:

It is rational because it doesn't have infinite decimals

Answer:

Im not certain but I think 7.5% If you get another answer which is different trust them not me if u get one which is the same it should be correct

The interest rate was 7.5% when borrowing $600 for one year and paying $45.00 interest.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.

We have been given data as:

Principal (P) = $600

Time (T) = 1 year

Simple interest = $45.00

⇒ Simple interest = P × R × T

Substitute the value of P, and T in the above formula, and solve for R

⇒ 45.00 = 600 × R × 1

⇒ 45.00 = 600R

⇒ R = 45.00/600

⇒ R = 0.075

⇒ R = 7.5/100

⇒ R = 7.5%

Therefore, the interest rate was 7.5%.

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Answer:

Answer:

5.46π cm³

Step-by-step explanation:

Volume of sphere= 4/3πr³

= 4/3×π×(1.6)³ cm³

=5.46π cm³

hope this helped you!

Solution:

We want to get the expression equivalent to the one above;

1. Evaluate the first option;

2. Evaluate the second option;

None of these matches the required number, so the answer is NONE

The diameter of the ball is approximately 16.67 meters.

To find the diameter of the ball, we can use the relationship between the distance traveled and the number of revolutions.

The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter.

Given that the ball rolls a distance of 3.5 meters and makes 15.0 revolutions, we can calculate the circumference of the path it travels:

C = 3.5 m * 15.0 = 52.5 m

Since each revolution covers the circumference of the ball, we have C = πd. Plugging in the known value for C, we can solve for the diameter (d):

52.5 m = πd

Dividing both sides of the equation by π, we get:

d = 52.5 m / π

Using a calculator, we can evaluate this expression:

d ≈ 16.67 meters

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