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2 years ago

I need help with this

Mathematics

1 answer:

My name is Ann [436]2 years ago

4 0

Answer:

Last is true

Step-by-step explanation:

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Compare the perimeters of the two regular figures. Which statement is true?

adell [148]

Answer:

(A). The perimeter of the octagon is greater than that of the hexagon.

Step-by-step explanation:

Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be= $\frac{(n-2){\timeS}180^{\circ}}{6}$

= $\frac{(6-2){\timeS}180^{\circ}}{6}$

= $\frac{(4){\timeS}180^{\circ}}{6}$

= $120^{\circ}$

Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.

Now, from ΔQMP. we have

$\frac{MP}{MQ}=cos60^{\circ}$

$MP=\frac{1}{2}$

Thus, the perimeter of the hexagon is:

$P=12{\times}MP$

$P=12{\times}\frac{1}{2}$

$P=6 units$

Thus, the perimeter of hexagon is 6 units.

Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be= $\frac{(n-2){\timeS}180^{\circ}}{8}$

= $\frac{(8-2){\timeS}180^{\circ}}{8}$

= $\frac{(6){\timeS}180^{\circ}}{8}$

= $135^{\circ}$

Now, since AP is the angle bisector of the one of the angle of the octagon, therefore ${\angle}PAC=cos\frac{135}{2}$ .

From ΔAPC, we have

$AC=cos\frac{135}{2}$

Now, Perimeter of octagon is:

$P=16{\times}cos\frac{135}{2}$

$P=16{\times}0.382$

$P=6.122 units$

Thus, the perimeter of octagon is 6.122 units.

Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.

4 0

3 years ago

What is juan+ juan.....( i swear if you get this right knuckles will visit you and be your guardian for today-lol)

Ira Lisetskai [31]

Answer: Jose

<h2>Step-by-step explanation:<em> Because i said so.............................PERIOD</em></h2>

4 0

3 years ago

Read 2 more answers

The percentage of households in the u.S. With cable television increased from 22.5%in 1980 to 68% in 2000. What was the increase

Arada [10]

Answer: The increase in the percent of household with cable television = 45.5%.

Step-by-step explanation:

Given : The percentage of households in the u.S. With cable television increased from 22.5% in 1980 to 68% in 2000.

i.e. Previous percentage in 1980 = 22.5%

New percentage in 2000= 68%

Now , the increase in percentage = (New percentage) - ( Previous percentage )

= 68% - 22.5%

= 45.5%

Hence, the increase in the percent of household with cable television = 45.5%.

4 0

4 years ago

What are the numbers for pie I am in class right now tell me asap

yarga [219]

Answer:

3.14159265359

Step-by-step explanation:

7 0

3 years ago

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Bobby is diving 50 feet below sea level at the beach. His sister is at the swimming pool deck, which is 15 feet above sea level.

wel

Answer:

the difference between bobby and the pool deck is 35 feet

Step-by-step explanation:

7 0

3 years ago