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4 years ago

Find the surface area of a pentagon

Mathematics

1 answer:

fenix001 [56]4 years ago

7 0

So hmm notice the picture below

what you really have is, 2 pentagons and 5 rectangles, stacked up to each other at the edges

so.. .the surface area of the figure, will be, the area of those 5 rectangles added together plus the area of those 2 pentagons

now... notice, each rectangle is a 12x8
now.. to get the pentagons area, keep in mind, the area of a regular polygon is 1/2 * apothem * perimeter

you have the apothem, is given, one side is 12 units long, the perimeter is all sides added together, thus 12+12+12+12+12

so.. get the area of each of the rectangles and those pentagons, sum them up, and that's the surface area of the figure

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Caleb bought groceries and paid

lutik1710 [3]

Answer:

Price of Caleb's groceries before tax= $6.4

Step-by-step explanation:

Let price of groceries before tax be = $ $x$

Sales tax % = 2.5%

Sales tax applied = $2.5\% \ of\ x = \frac{25}{100}\times x = \frac{25}{100} x$

Actual sales tax paid = $1.60

∴ $\frac{25}{100}x=1.60$

Multiplying both sides by 100.

$100\times \frac{25}{100}x=1.60\times 100$

$25x=160$

Dividing both sides by 25.

$\frac{25x}{25}=\frac{160}{25}$

$x=6.4$

∴ Price of groceries before tax= $6.4

8 0

3 years ago

Read 2 more answers

Find the solution of w(-15-w)=0

inna [77]

Answer:

w(-15-w)= 0

w= 0 or (-15-w) = 0

Now,

-15-w =0

w= -15

So,The solution of w(-15-w) = 0

w= 0, -15

5 0

3 years ago

Read 2 more answers

Is this correct pls help

Lyrx [107]

Answer:

Volume of round cake pan = volume of cylinder

Volume of a cylinder = $\pi r^2h$ (where r is the radius and h is the height)

Radius = $\dfrac12$ diameter ⇒ $r=\dfrac72=3.5$

⇒ volume of round cake pan = $\pi \times 3.5^2 \times 2=24.5\pi$

= 76.97 in³ (nearest hundredth)

Volume of rectangular cake pan = volume of rectangular prism

volume of rectangular prism = $wlh$ (where w is the width, l is the length and h is the height)

⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³

As 108 > 76.97, the rectangular cake pan has a larger volume

4 0

2 years ago

Tyler works in retail where she earns $10.50 per hour. She also earns $15 for every new credit account she gets customers to ope

Hitman42 [59]

A
coefficient = 10.50 or 15, both real numbers that qualify variables
variable = c and h
constant = 50

B
10.50h + 15c + 50
10.5 x 37 + 15 x 12 + 50
388.50 + 180 + 50 = 618.50

C
Coefficient would change from 10.50 to 11.25
<span>It is fixed until the next raise.

I hope my answer has come to your help. God bless and have a nice day ahead!</span>

4 0

3 years ago

Read 2 more answers

What TWO expressions equal 12−(−33) ?

erastova [34]

Answer:

12+33 and 33 - (-12)

Step-by-step explanation:

12 - (-33) = 45

12 + 33 gives us 45

33 - (-12) gives us 45

8 0

3 years ago