Math!! finding volume of prisms

Step-by-step explanation:

all that means is that the radius is 5 meters, and that we are looking for the length of the circle arc that represents 90° of the whole circle (360°).

90/360 = 1/4

so, we need 1/4 of the circle circumference :

2×pi×r × 1/4 = 2×pi×5 × 1/4 = pi×10/4 = pi × 5/2 =

= 7.853981634... m

therefore, the third answer is correct.

The  annual income tax paid by the person is: $4,500.

Using this formula

Annual income tax=[Salary÷(1-percentage deduction)]- Salary

Let plug in the formula

Annual income tax=[40,500÷(1-10%)]-40,500

Annual income tax=45,000-40,500

Annual income tax=4500

Therefore the  annual income tax paid by the person is: $4,500.

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the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

so in this case we have the provided ones (2005 , 12000) and (2010 , 12250)

[tex](\stackrel{x_1}{2005}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2010}~,~\stackrel{y_2}{12250}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12250}-\stackrel{y1}{12000}}}{\underset{run} {\underset{x_2}{2010}-\underset{x_1}{2005}}} \implies \cfrac{12250 -12000}{2010 -2005}\implies \cfrac{250}{5}\implies \underset{\textit{rate of change}}{50}[/tex]

For problem 17, if you double the diameter of the moon, then the surface increases by a factor of 4 and the volume by a factor of 8.

Let's answer question 17.

Remember that for a sphere of radius R, the volume is:

[tex]V = (4/3)*pi*R^3[/tex]

And the surface area is:

[tex]S = 4*pi*R^2[/tex]

So the volume depends on the cube of the radius and the surface on the square of the radius.

Now, if we double the diameter of the moon, then we also double the radius.

So the new volume will be:

[tex]V' = (4/3)*pi*(2*R)^3 = 8*[(4/3)*pi*R^3] = 8*V[/tex]

The new volume is 8 times the original volume.

And for the surface:

[tex]S' = 4*pi*(2*R)^2 = 4*[4*pi*R^2] = 4*S[/tex]

So the new surface is 4 times the original surface.

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To counteract race-related violence, the 14 th amendment was ratified to grant citizenship to African Americans. Thus, option B is correct.

The main purpose of the 14th Amendment is to guarantee and protect the citizenship and rights of African Americans.

The 14th Amendment was ratified in 1868, and it granted citizenship to all the people that born or naturalized in the United States.

This was a particularly significant development for former slaves.

This is to give them equal protection from the laws.

To counteract race-related violence, the 14 th amendment was ratified to grant citizenship to African Americans. Thus, option B is correct.

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For the given experiment, the relative frequency of getting tails is:

R = (12/25)*100% =48%

If we perform an experiment N times, and out of these N times, K times we get a given outcome (Where K is a number equal to or smaller than N).

The relative frequency of that particular outcome is given by the quotient between the number of times that we got that outcome and the total number of times that the experiment was performed.

In this case, the experiment is performed 25 times, and 12 times we get tails, then the relative frequency for getting tails is:

R = 12/25

If we want to write it in percentage form, then we get:

R = (12/25)*100% =48%

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Answer:

55 percent

Step-by-step explanation:

simply add all the teams you get a 1.00 turned to percent its a 100 percent probability

then simply add the team 6 7 and 8 you get .45 turned into percent is 45 percent

them subtract 100-45 you get 55 percent that a team not from River City will win

Based on the triangle inequality theorem, the that is false about the relationship of the side of the triangle given is: D. x = 7.

The triangle inequality theorem holds that the length of any side of a triangle is less than the sum of the length of the sides of the other two sides.

Applying the triangle inequality theorem, it means the following should be true for any value of x given:

x + 2 + x + 3 > 3x - 2

2x + 5 > 3x - 2

Plug in x = 3 to find out:

2(3) + 5 > 3(3) - 2

11 > 4 (True)

Plug in x = 1 to find out:

2(1) + 5 > 3(1) - 2

8 > 2 (True)

Plug in x = 7 to find out:

2(7) + 5 > 3(7) - 2

19 > 19 (FALSE)

Therefore, the false statement is: D. x = 7.

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Answer:

The odds of an event happening depend on the situation so it is really difficult to tell what the odds would be.

Step-by-step explanation:

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ SA=196\pi \end{cases}\implies \begin{array}{llll} 196\pi =4\pi r^2\implies \cfrac{196\pi }{4\pi }=r^2 \implies 49=r^2 \\\\\\ \sqrt{49}=r\implies 7=r~\hfill \underset{diameter}{\stackrel{2(7)}{14}} \end{array}[/tex]

Answer:

x = 15

[x = 15.0]

Step-by-step explanation:

we can find the length of the hypotenuse of a right triangle using the Pythagorean theorem

[note: "c" is what they are referring to as "x" here]

   a² + b²  =   c²

a : 12

b : 9

[c = hypotenuse/x/unknown side]

     12² + 9² = c²

    144 + 81  = c²

           225 = c²

        √225 = √c²

             15 = c

{x = 15.0}

Answer:

1. Dogs are generally heavier than the cats.

2. The dogs have a much larger variety in their weights and size than cats.

Step-by-step explanation:

Answer: 8.8

Step-by-step explanation:

Because [tex]\angle S \cong \angle S[/tex] by the reflexive property, we know that [tex]\triangle STU \sim \triangle SQR[/tex] by AA.

So, by the triangle proportionality theorem,

[tex]\frac{x}{5.3}=\frac{11.1}{6.7}\\x=(11.1/6.7)(5.3) \approx \boxed{8.8}[/tex]

Answer:

Step-by-step explanation:

Equation of area:

Substitute values and calculate:

Answer:

10

Step-by-step explanation:

x/20= 5/x

x²= 100

x=√100

X=±10

x=10

Answer:

x = 10

Step-by-step explanation:

expressing the ratios in fractional form

[tex]\frac{x}{20}[/tex] = [tex]\frac{5}{x}[/tex] ( cross- multiply )

x² = 100 ( take square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

the positive solution is x = 10

Using the arrangements formula, it is found that they can stand in the line in 80,640 ways.

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, we have that:

Hence the number of ways in which they can be lined up is given by:

N = 2! x 8 x 7! = 80,640.

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The image of the point after the reflection across the x-axis is (8,5)

The point is given as:

D = (8,-5)

The rule of reflection across the x-axis is:

(x,y) -> (x,-y)

So, we have:

D' = (8,5)

Hence, the image of the point after the reflection across the x-axis is (8,5)

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Answer:

acute triangle

Step-by-step explanation:

4 6 7 - Acute scalene triangle, area = 11.98

The percent error of the measurement, to the nearest tenth of a percent is 18.6%

The formula for calculating the percent error is expressed as:

%error = actual - measure/actual * 100

Given the following

actual length = 13.4 in

Measured =10.9in

Substitute

%error = 13.4-10.9/13.4 * 100
%error = 2.5/13.4 * 100
%error = 18.65%

Hence the percent error of the measurement, to the nearest tenth of a percent is 18.6%

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Answer:

[tex] x = - 12[/tex]

Step-by-step explanation:

[tex]5x + 6 = 2(2x - 3) \\ 5x + 6 = 4x - 6 \\ 5x - 4x = - 6 - 6 \\ x = - 12[/tex]

The attached figure represents the box and whisker plots

To do this, we start by converting the tallies in the frequency table to numerical values.

So, we have:

                Monday      Tuesday      Wednesday     Thursday   Friday

On Time     6                   3                     2                     10             10

Late             1                   0                     3                     4               10

Next, we enter these data on a graphing/statistical calculator to create the box and whisker plots

See attachment

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Answer:

$40.60

Step-by-step explanation:

10.50+4%=10.92

28+6%=29.68

10.92+29.68=40.60

answer : 70.6

steps :

I attached a picture

you see 9.6?

it's also 9.6 on the side that is 17.2

if you look at the picture I attached you'll know what I mean

on the side that is 15.7 it's

15.7 - 9.6 =

6.1 on the other part of the side that is 15.7

that means it's

6.1 on a part of the side that doesn't have a measurement

on the side that 17.2 it's

17.2 - 9.6 =

7.6 on the other side

that means it's also

7.6 on the side that's 19.6

19.6 - 7.6 = 12.0 on the side that's 19.6 so it's also

12.0 partly on the uncensored side

on the side that doesn't have a measurement it's

12.0 + 6.1 = 18.1

so

all sides are :

19.6+17.2+15.7+18.1=

70.6 <- which is the answer

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Answer:

Let b the cost of the manicure

15% of b= 5.10$

15% × b= 5.10$

b= 5.10×100/15

b= 34$

The true statement about is the graph has a range of {y|-∞ < y < ∞} and decreases as x approaches 0.

A logarithm function is a type of function that represents the inverse of an exponential function. Mathematically, a logarithmic function is written as [tex]y =log_ax[/tex].

The domain of the given logarithm function f(x) = logx is (x > 0) and its graph wouldn't touch the vertical axis but moves to the right.

Also, the logarithmic function increases as the value of x increases. Thus, this function would decrease when x approaches zero (0).

In conclusion, we can deduce that the range of this function is -∞ < y < ∞.

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Answer:

domain:

c. The graph has a domain of {x|0<x<∞} and approaches 0 as x decreases.

and pretty sure the range is:

b. The graph has a range of {y|-∞<y<∞}and decreases as x approaches 0.

because all real numbers

Step-by-step explanation:

hope this helped

Answer:

the answer is x=0.36. (-20x=-7.2) divided by -20 equals to x=.36

Answer:

It is the longest side of a right triangle.

Step-by-step explanation:

Hope this helps!

If not, I am sorry.