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Alexxx [7]
3 years ago
13

Margarita traces a circle with a radius of 20 centimeters like the one shown below. She will color in the shaded region. What is

the area of the shaded region?​

Mathematics
1 answer:
lana66690 [7]3 years ago
7 0

Answer:

314 cm ^ 2

Step-by-step explanation:

First do, 3.14 x 20 ^ 2

3.14 x 20 ^ 2 = 1,256

Then do, 1,256/4

1,256/4 = 314

Why 4?

This part of the circle is 1/4 of the entire circle.

What does ^ mean?

It's just a way to say to the power of on a computer.

Hope this helps! :)

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A model car is 5 inches long. The actual length of the car is 15 feet . What is the scale factor of the model car?
Elodia [21]

Answer:

1 : 36

Step-by-step explanation:

To obtain the scale factor, the dimensions must be in the same units.

Using the conversion

1 foot = 12 inches, then

15 feet = 15 × 12 = 180 inches, thus

scale factor = 5 : 180 ← divide both parts by 5

scale factor = 1 : 36

7 0
3 years ago
Read 2 more answers
Sin^2(x/2)=sin^2x <br> Find the value of x
Veronika [31]
\sin^2\dfrac x2=\sin^2x
\dfrac{1-\cos x}2=1-\cos^2x
1-\cos x=2-2\cos^2x
2\cos^2x-\cos x-1=0
(2\cos x+1)(\cos x-1)=0
\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}

The first case occurs in 0\le x for x=\dfrac{2\pi}3 and x=\dfrac{4\pi}3. Extending the domain to account for all real x, we have this happening for x=\dfrac{2\pi}3+2n\pi and \dfrac{4\pi}3+2n\pi, where n\in\mathbb Z.

The second case occurs in 0\le x when x=0, and extending to all reals we have x=2n\pi for n\in\mathbb Z, i.e. any even multiple of \pi.
6 0
3 years ago
In a normal distribution, 95% of the data fall within how many standard deviations of the mean? O A. Three standard deviations B
Galina-37 [17]

Answer:

Two standard deviations

Step-by-step explanation:

The Z score is obtained using the mean and standard deviation, according to the empirical. Rule, which gives percentage of values that lie within an interval estimate in a normal distribution ;

one standard deviation lie within 68% of the mean

Two standard deviations lie within 95%

Three standard deviations lie within 99.7%

Hence, for the question given, 95% fall within 2 standard deviations of the mean

4 0
2 years ago
1. e(x) = 3 x -3, Find e(-6)
dlinn [17]

Answer:

e(-6) = -21

Step-by-step explanation:

Plug -6 into the equation and simplify.

3(-6) - 3

-18 - 3

-21

6 0
3 years ago
PLZ HALP ANSWER QUICK FIRST CORRECT ANSWER GETS BRANLIEST
ehidna [41]

Answer:

b: 5ft

Step-by-step explanation:

8 0
3 years ago
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