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2 years ago

What is the measure of the indicated angle? 120° ?

Mathematics

1 answer:

aliya0001 [1]2 years ago

8 0

I think the answer is 180

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A regular hexagon is circumscribed about a circle with a radius of 6. Find the area of the shaded region shown. Give the exact a

Alecsey [184]

Answer:

19.58 unit²

Step-by-step explanation:

To find the area of the shaded region, we use the formula:

$A_{shaded}=A_{circle} - A_{hexagon}\\\\$

As we know that,

$A_{circle} = \pi r^2$ = $\pi 6^2$

=36πunit²

Next is to split up the hexagon into 6 regular triangles.

$A_{hexagon} = 6. A_{triangle}$

=6 x $\frac{1}{2} bh$

the base is equal to the radius i.e 6 as the triangles are regular.The height can be represented by taking one of the triangles and drawing a line down the middle.

So, the newly formed triangle is a 30°-60°90° right triangle.

(see figure 1 in attachment)

Here, a= 6/2=> 3

h= a√3 => 3√3

Substituting the required values in the formula of area of hexagon, we get

$A_{hexagon}= 6.\frac{1}{2}.6.3\sqrt{3}$ => 54√3unit²

$A_{shaded}=A_{circle} - A_{hexagon}\\\\$

=36π-54√3

= 19.58 unit²

4 0

2 years ago

An athlete eats 0.4 kg of protein per week while training. How much protein will she eat during 7 weeks of training? write the a

JulsSmile [24]

She will eat 2800 grams of protein.

7 0

2 years ago

Can somebody answer this ? : n-4-9

FinnZ [79.3K]

☁️ Answer ☁️

annyeonghaseyo!

Your answer is:

n - 13

Subtract 9 from -4

Hope it helps.

Have a nice day noona/hyung!~ ￣▽￣❤️

4 0

2 years ago

Find the difference. Write your answer as a decimal.<br> $5.5-8.1=$

Tpy6a [65]

Sorry I rlllllyyyyyyy don’t understanddddd

4 0

2 years ago

Read 2 more answers

last week rafael drove m miles. this week he drove 153 miles. using m, write an expression for the total number of miles he drov

zzz [600]

The expression for the total number of miles he drove in the two weeks is m + 153

<h3>How to determine the expression for the total number of miles he drove in the two weeks?</h3>

The given parameters are

Last week = m miles

This week = 153 miles

The expression for the total number of miles he drove in the two weeks is

Expression = Last week + This week

This gives

Expression = m + 153

Hence, the expression for the total number of miles he drove in the two weeks is m + 153