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3 years ago

Find the area of the regular polygon. pentagon with a radius of 4 ft

1 answer:

5 0

In this problem we need to find the apothem and the length of the side before we can find the area of the entire polygon. Each central angle for a regular pentagon is 360∘5=72∘. So, half of that, to make a right triangle with the apothem, is 36∘. We need to use sine and cosine.
sin36∘4sin36∘8sin36∘n=.5n4=12n=n≈4.7 cos36∘=a44cos36∘=aa≈3.24
Using these two pieces of information, we can now find the area.
A=12(3.24)(5)(4.7)≈38.07 units^2.

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What is 2 divided on 1000

Hoochie [10]

500. But 1000 cannot go in 2, the result would be 0.002.

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2 years ago

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An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that

Sphinxa [80]

Answer:

71° and 71°.

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Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

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So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

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We know that,

The sum of all angles of a triangle is 180°

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So, According to the question :

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${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}$

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${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + 2x = 180{}^{ \circ} }}}$

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${\longrightarrow \it\qquad { \ { 2x = 180{}^{ \circ} - { 38 \: }^{ \circ}}}}$

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${\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}$

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${\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}$

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${\longrightarrow \it\qquad { \pmb { x = 71^{ \circ} }}}$

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Therefore,

The measure of the two other angles of the isosceles triangle are 71° and 71°.

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1 year ago

Look at the table showing different prices for oranges.

MrMuchimi

2.25 for 6 would be 0.375 per one of them
1.30 for 4 would be 0.325 per one of them
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2 years ago

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A kitchen makes 2944 ounces of soup each week. There are 128 ounces in one gallon. How many gallons of soup does the kitchen mak

zhannawk [14.2K]

Step 1:
Find number of gallons in one week
Total oz ÷ oz per gallon= gallons
=2944/128
= 23 gallons in one week

Step 2:
Multiply gallons made in one week by two.
=23 gallons per week * 2
=46 gallons made in 2 weeks

Hope this helps! :)

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3 years ago

Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given that r

Komok [63]

Answer:

The required length is 37.68 cm

Step-by-step explanation:

We have given the radius of which is 3 cm and $\theta$ which is $\pi\cdot 4$