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4 years ago

14

Mrs. Lewis will put a fence around her rectangular garden.

1 answer:

Rudik [331]4 years ago

5 0

30 1/6 you double the two numbers and add them together.

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What is the area of a sector with a central angle of 108 degrees and a diameter of 21.2 cm?

Rasek [7]

Answer:

$105.84\ cm^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is

$A=\pi r^{2}$

we have

$r=21.2/2=10.6\ cm$ ----> the radius is half the diameter

substitute

$A=\pi (10.6)^{2}$

$A=112.36\pi\ cm^2$

step 2

Find the area of a sector

Remember that

The area of the circle subtends a central angle of 360 degrees

so

using proportion

Find out the area of a sector with a central angle of 108 degrees

$\frac{112.36\pi}{360^o}=\frac{x}{108^o}\\\\x=112.36\pi(108)/360\\\\x=33.708\pi\ cm^2$

assume

$\pi=3.14$

substitute

$33.708(3.14)=105.84\ cm^2$

7 0

4 years ago

Pepsi [2]

Answer:lazy

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A scatterplot has a positive, linear correlation. Which statement is true about the relationship between the x- and y-values?

Yuki888 [10]

B. As the x-values increase, the y- valuebtend to decrease.

5 0

4 years ago

Read 2 more answers

Select all the correct answers.

Vlad1618 [11]

Answer:

The measure of reference angle is $30^{\circ}$ .
$\cos \theta=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

Converting $\theta$ to degrees,

$\theta=\left(\frac{11\pi}{6} \right) \left(\frac{180}{\pi} \right)=330^{\circ}$

This means $\theta$ lies in Quadrant 4, and thus its reference angle is $360^{\circ}-330^{\circ}=\boxed{30^{\circ}}$

Since $\theta$ lies in the fourth quadrant, $\sin \theta$ and $\tan \theta$ are negative.

Since $\theta$ lies in the fourth quadrant, $\cos \theta$ is positive, and is equal to $\cos (30^{\circ})=\boxed{\frac{\sqrt{3}}{2}}$

3 0

2 years ago

С E A B G 77° D plz help.me

Snowcat [4.5K]

90°-77°=13°.

the answer is 13°

4 0

3 years ago