In APQR, m2 P = 60°, mz Q = 30°, and m2 R = 90°. Which of the following
statements about APQR are true?
Check all that apply.
A. PQ=2. PR
B. QR=
PQ
C. QR= 2 • PR
☐ D. PR = = 4. PQ
•
□E. QR=√√√3 PR
F. PQ=√√3 PR

Answer:

Area= 49\(\pi\) or 153.94 or 147 (Since Pi= 3)

Circumference= 14\(\pi\) or 43.98 or 42 (Since Pi= 3)

Step-by-step explanation:

\(A=\pi rx^{2}\)

\(C=2\pi r\)

Answer:

0.00005

Step-by-step explanation:

you move 5 decimal places left starting from 7 and right it as a decimal.

Ans=0.00007

Answer:The reciprocal of 2/3 is 3/2. The product of 2/3 and its reciprocal 3/2 is 1.

Step-by-step explanation:

g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

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Answer:

(a) 0
(b) 0
(c) 1
The function is not continous at x = 9

Step-by-step explanation:

To the left and right of the point x = 9, the graph would seem to continue at  f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous

Apologies if this is wrong its been a bit since I did calculus

Answer:

-1 ..?

Step-by-step explanation: because the lowest number a curve touches is -1

Answer: $1856

Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856

Answer:

x+2 - and x+6

Step-by-step explanation:

Answer:

picture? (170

Step-by-step explanation:

the daily number of absences at high school a in the state is approximately bormally distributed with mean 122 students and standard deviation of 11.5 students.

if more than 140 students are absent on the day the attendance count is taken for funding purposes ,

the school will lose some of its state funding in the subsequent year

We are to obtain the standard deviation of the given values :

{24, 18, 31,25, 34}

The standard deviation = √(Σ(x - mean)²/ n)

The mean = (ΣX) /n

Using calculator to save computation time :

The standard deviation, s = 6.27 (2 decimal places)

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The scale factor applied to the first triangle is 3/5

From the question, we have the following parameters that can be used in our computation:

The triangles

The scale factor is calclated as

scale factor = triangle B/triangle A

Substitute the known values in the above equation, so, we have the following representation

scale factor = 24/40

Evaluate

scale factor = 0.6 or 3/5

Hnce, the scale factor is 0.6

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If the graph of f(x) = x is shifted up 9 units, the equation of the new graph would be g(x) = x + 9.

In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is shifted up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Translating the graph of the parent function f(x) = x by shifting it nine (9) units up, we have the following equation:

f(x) = x   →  g(x) = f(x) + 9

g(x) = x + 9

In this context, we can logically deduce that the parent function f(x) was shifted by nine (9) units up to create function g(x) as shown in the graph attached below.

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Answer:

You must force restart the chromebook. It is  probably a school computer so you wont be able to get the software/extenstions back. Sadly there is nothing you can do. If you have another computer you can use Chrome remote desktop to connect to it and control it.

Answer:

C. 439.6 in.²

Step-by-step explanation:

The container is a cylinder.

Since the two circular bases won't be covered, therefore:

The least construction paper needed to cover the remaining surface = curved surface area of the cylinder

= 2πrh

r = 5 in.

h = 14 in.

Plug in the values

Curved surface area = 2×π×5×14 = 439.6 in.²

The height of this tent is equal to 2 meters.

In Mathematics and Geometry, the area of a triangle can be calculated by using the following formula:

Area of triangle = 1/2 × base area × height

Where:

Volume of tent  = Area of Triangle × Length of tent

4.5 = Area of Triangle ×  3

Area of Triangle  = 1.5 m²

Area of Triangle = (1/2) × base area × height

1.5  = (1/2) × 1.5 × h

Height, h = 2 meters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

\(\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}\)

Step-by-step explanation:

Given the expression

\(\frac{y}{x^2}+\frac{y}{x^3}\)

Let us perform the operation and express your answer as a single fraction​

\(\frac{y}{x^2}+\frac{y}{x^3}=\frac{x^3y+x^2y}{x^5}\)

            \(=\:\frac{x^2\left(xy+y\right)}{x^5}\)

            \(=\frac{\left(xy+y\right)}{x^3}\)

Therefore, we conclude that:

\(\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}\)

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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Answer:

\( 2 \sqrt{21} is \: the \: ans\)

Step-by-step explanation:

given;abc is a right angled triangle.

by takingr eference reference angle c

p=ab=? ,h=bc=10 ,b=ac=4.

by the Pythagoras relation we get;

\(p = \sqrt{h {}^{2} - b {}^{2} } \)

so ,p=

\( \sqrt{10 {}^{2} - 4 {?}^{2} } \)

==

=

\( = 2 \sqrt{21} \)

is ans

\(-5x^2+3x = -3x^2 +3x -50\\\\\implies 5x^2-3x^2 +3x-3x -50 =0\\\\\implies 2x^2 -50 =0\\\\\implies x^2 -25 = 0\\\\\implies x^2 = 25\\\\\implies x = \pm5\\\\\text{Hence}~ x = 5~ \text{or}~ x = -5\)

Answer:

X = 5, —5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

1/2

Step-by-step explanation:

5 x 1/10 = 0.5

0.5 = 1/2

Answer:

                    1 / 2

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

On the graphs we see transformations of exponential functions

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

Answer:

  2.5%

Step-by-step explanation:

You want the percentage below 335 if the distribution is normal with a mean of 555 and a standard deviation of 110, using the empirical rule.

The z-score of 335 is ...

  Z = (X -µ)/σ

  Z = (335 -555)/110 = -220/110 = -2

The empirical rule tells you that 95% of the distribution is between Z = -2 and Z = 2. That is, 5% of the distribution is evenly split between the tails Z < -2 and Z > 2. Half that value is in each tail.

  P(X < 335) = 5%/2 = 2.5%

The percentage of people taking the test who score below 335 is 2.5%.

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Answer:

22 feet

Step-by-step explanation:

As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:

Therefore:

Draw a diagram using the given information (see attachment).

From the diagram, we can see that the flagpole and the person are parallel.  Therefore, the two triangles are similar.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, set up a ratio of height to shadow length and solve for h:

\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)

\(\implies \sf h:168=66:42\)

\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)

\(\implies \sf h=\dfrac{66}{42} \cdot 168\)

\(\implies \sf h=\dfrac{11088}{42}\)

\(\implies \sf h=264\;inches\)

Convert the height into feet by dividing by 12:

\(\implies \sf h=\dfrac{264}{12}=22\;feet\)

Therefore, the height of the flagpole is 22 feet.

Answer:

48 inches

Step-by-step explanation:

2 feet = 24 inches

2 yards = 6 feet = 72 inches

72 - 24 = 48

To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.

To model this relationship, we can use the inverse variation equation, which can be expressed as:

y = k/x

Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.

Let's examine the data given in the table to find the value of k:

Number of Photos (x) Cost per Photo (y)

10 10

25 4

50 2

100 1

We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):

2 = k/50

Solving for k:

k = 2 * 50 = 100

Now that we have the value of k, we can write the function that models the data:

y = 100/x

Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.

Answer:

x-9=5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I just took it

Answer:

D

Step-by-step explanation:

edge 2021

Answer:

-3

Step-by-step explanation:

The length of a segment is

sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)

sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)

sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)

Combine like terms

sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)

Square each side

( a-3)^2 + (2a -4) ^2) = 4 *(10)

FOIL the left side

a^2 -6a +9   + 4a^2 -16a +16 = 40

Combine like terms

5a^2 -22a +25 = 40

Subtract 40 from each side

5a^2 -22a -15 =0

Factor

(a - 5) (5 a + 3) = 0

Using the zero product property

a-5 =0   5a +3 = 0

a = 5       5a = -3

a=5     a = -3/5

The product of the terms is

5 * -3/5 = -3

Part a

Setting \(x=6\), \(y=7.9(1.02)^6 \approx \boxed{8.9}\)

Part b

Setting \(x=14\), \(y=7.9(1.02)^{14} \approx \boxed{10.4}\)