All categories

4 years ago

In the figure, angle ZYX is measured in degrees. The area

Mathematics

2 answers:

skad [1K]4 years ago

7 0

Answer:

the answer is A on e2020

Step-by-step explanation:

VARVARA [1.3K]4 years ago

3 0

Answer:

The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector

Step-by-step explanation:

we know that

The formula to calculate the area of sector is equal to

$A_s=\frac{x}{y}A_c$

where

$A_s$ ----> is the area of sector

$x$ ----> is the central angle measure of the sector in degrees

$y$ ---> total angle measure of a circle in degrees

$A_c$ ---> represent the area of the circle

see the attached figure to better understand the problem

we have

$x=m\angle ZYX=\theta^o$ ----> central angle of sector ZYX

$y=360^o$ ----> total angle measure of a circle in degrees

$A_c=\pi r^{2}$ ---> represent the area of the circle

substitute in the formula

$A_s=\frac{\theta^o}{360^o} (\pi r^{2})$

therefore

The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector

You might be interested in

7L+5r=97<br><br> What’s the answer for both letters?

Kobotan [32]

Answer:

r = 11

L = 6

Step-by-step explanation:

7(6) = 42

5(11) = 55

42 + 55 = 97

8 0

3 years ago

Suppose f(x) = x^2 and

SpyIntel [72]

Given:

The two functions are:

$f(x)=x^2$

$g(x)=\left(\dfrac{1}{3}x\right)^2$

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The horizontal stretch is defined as:

$g(x)=f(kx)$ ...(i)

If $0$ , the function f(x) is horizontally stretched by factor $\dfrac{1}{k}$ .

If $k>1$ , the function f(x) is horizontally compressed by factor $\dfrac{1}{k}$ .

We have,

$f(x)=x^2$

$g(x)=\left(\dfrac{1}{3}x\right)^2$

Using these functions, we get

$g(x)=f\left(\dfrac{1}{3}x\right)$ ...(ii)

On comparing (i) and (ii), we get

$k=\dfrac{1}{3}$

Since $0$ , the function f(x) is horizontally stretched by factor $\dfrac{1}{\frac{1}{3}}=3$ .

Hence, the correct option is D.

5 0

3 years ago

Dante took three tests on Friday. He got a 92% on his English test, an 88% on his math test and a 90% on his science test Write

Burka [1]

.88, .90, .92
when you need to find a decimal of a percentage. start at the percentage sign and move the decimal point two places to the left..
example:
450% = 4.50

8 0

4 years ago

Math help pls, thank

galina1969 [7]

Question 5) A and C are negative effects of fossil fuels usage

Question 6) starts - 1, 5, 2, 3, 4

6 0

3 years ago

California is hit every year by approximately 500 earthquakes that are large enough to be felt. However, those of destructive ma

Elanso [62]

Answer:

a) The probability that at least 3 months elapse before the first earthquake of destructive magnitude occurs is P=0.7788

b) The probability that at least 7 months elapsed before the first earthquake of destructive magnitude occurs knowing that 3 months have already elapsed is P=0.7165

Step-by-step explanation:

Tha most appropiate distribution to model the probability of this events is the exponential distribution.

The cumulative distribution function of the exponential distribution is given by:

$P(t$

The destructive earthquakes happen in average once a year. This can be expressed by the parameter λ=1/year.

We can express the probability of having a 3 month period (t=3/12=0.25) without destructive earthquakes as:

$P(t>0.25)=1-P(t$

Applying the memory-less property of the exponential distribution, in which the past events don't affect the future probabilities, the probability of having at least 7 months (t=0.58) elapsed before the first earthquake given that 3 months have already elapsed, is the same as the probability of having 4 months elapsed before an earthquake.

$P(t>0.58)/P(t>0.25)=P(t>0.33)$

$P(t>0.33)=1-P(t$

8 0

3 years ago