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MAVERICK [17]
3 years ago
14

A piece of art is in the shape of an equilateral triangle with sides of 7 inches each. Find the area of the piece of art to the

nearest tenth. Explain how you know.
Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0

Answer:

21.2 in²

Step-by-step explanation:

The area of an equilateral triangle is given as :

Area, A = √3/4 * a²

Where, a = side length of the equilateral triangle

a = 7 inches ; Recall that all sides of an equilateral triangle are the same.

Put a = 7 in the equation :

A = √3/4 * a²

A = √3/4 * 7²

A = 0.4330127 * 49

A = 21.217 in²

Area, A = 21.2 in²

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35. How much leather is needed to sew a ball
just olya [345]

Answer:

593.04 square inches leather is needed.

Step-by-step explanation:

Leather needed to sew a ball = Surface area of the ball

Surface area of the sphere = 4πr²

                                             = 4π(6.55)²

                                             = 539.13 inches²

Since 10% extra material is needed for the seams, amount of material required = 539.13 + (10% of 539.13)

= 593.043

= 593.04 square inches

593.04 square inches of leather will be needed.

8 0
3 years ago
Hi can someone please help me with my math work im very behind
Ipatiy [6.2K]

The volume of soup in the cylindrical can is 100.48 inches cube.

<h3>How to find the volume of a cylindrical can?</h3>

We have to find the volume of the soup in a cylindrical can of height 8 inches and 4 inches across the lid.

The volume of the soup is the volume of the cylindrical can.

Therefore,

volume of the cylindrical can = πr²h

where

  • r = radius of the cylinder
  • h = height of the cylinder

Therefore,

h = 8 inches

r = 4 / 2 = 2 inches

volume of the soup in the cylindrical can = πr²h

volume of the soup in the cylindrical can = π × 2² × 8

volume of the soup in the cylindrical can = π × 4 × 8

volume of the soup in the cylindrical can = 32π

Therefore,

volume of the soup in the cylindrical can = 32 × 3.14

volume of the soup in the cylindrical can = 100.48 inches³

learn more on volume here:brainly.com/question/23207959

#SPJ1

5 0
1 year ago
What is the period of the function y=3/2con(3/5x)+5
jeyben [28]

Answer:

y =  \frac{3}{2} cot( \frac{3x}{5} ) + 5 \\  \\  \pi \div \frac{3}{5} \\  \  \\  =  \frac{5\pi}{3} is \: period

6 0
3 years ago
22) 4x + 6y=-6<br> 4x – 4y=-16
olasank [31]

Answer:

4x + 6y = -6

-4x + 4y = 16

10y = 10

y = 1

4x - 4 = -16

4x = -12

x = -3

(-3,1)

5 0
3 years ago
Simplify this problem . Please help
s2008m [1.1K]
5x^4 / y^5 is your answer
4 0
3 years ago
Read 2 more answers
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