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2 years ago

What is the area of the pentagon, rounded to the nearest tenth?

1 answer:

4 0

The area of the pentagon, rounded to the nearest tenth will be 32.7 square cm. Then the correct option is C.

<h3>What is a polygon?</h3>

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.

Then the side length of the pentagon will be

5 x Side length = 21.8 cm

Side length = 4.36 cm

Then the area of the pentagon, rounded to the nearest tenth will be

Area of pentagon = 5 x area of triangle

Area of pentagon = 5 x 1/2 x 4.36 x 3

Area of pentagon = 32.7 square cm

Thus, the correct option is C.

More about the polygon link is given below.

brainly.com/question/17756657

#SPJ1

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If a/b=p/q, then (a+b)/b=

a_sh-v [17]

Answer:

Step-by-step explanation:

$\frac{a+b}{b}=\frac{a}{b}+\frac{b}{b}\\\\=\frac{a}{b}+1\\\\=\frac{p}{q}+1$

4 0

3 years ago

The object on the right is made from a square-based pyramid joined to a cuboid.

spayn [35]

Answer:

Density of steel = 80.73 gm/ $cm^3$

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

$V_{Cuboid} = l \times w \times h$

$V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3$

Density of Wood , $D_{Cuboid}$ = 0.68g/ $cm^3$

We know that formula of Density is:

$Density = \dfrac{Weight}{Volume}$

$D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}$

Putting the values:

$W_{Cuboid} = 324 \times 0.68 = 220.32\ gm$

Total weight = $W_{Cuboid} + W_{Pyramid}$

970 = 220.32 $+ W_{Pyramid}$

$W_{Pyramid}$ = 749.68 gm

Volume of pyramid is given as:

$V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}$

Base is a square with side 6 cm

$V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3$

Density of Steel/Pyramid:

$D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3$

5 0

3 years ago

What are all the numbers that round to 5.6? A. 5.57 B. 5.54 C .5.62 D. 5.59 E. 5.51

Delvig [45]

Answer: A, C, and D all round to 5.6

5 0

3 years ago

Consider this equation: 2x + 2 = 11 - x

77julia77 [94]

Addition bc. you need adding to both sides x and will get this result of 3x+2 = 11

hope helped

4 0

3 years ago

Read 2 more answers

ANSWER FOR BRAINLIEST AND EXPLAIN!! :)

KengaRu [80]

Answer:

x = 6

Step-by-step explanation:

All triangle angles add up to 180 so:

90 + 5x + 6 + 54 = 180

5x + 150 = 180

5x = 30

x = 6

7 0

3 years ago

Read 2 more answers