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Aleonysh [2.5K]
3 years ago
11

Susan designed a circular pool with a diameter of 25 meters. What is the area of the bottom of the pool? Round to the nearest te

nth
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
6 0
Given:
circular pool with a diameter of 25 meters.

find: area of the bottom of the pool.

It is safe to assume that the diameter of the pool is the same from the top of the pool to the bottom of the pool.

Area of a circle = π r²
where: 
π = 3.14
r = diameter / 2 = 25 meters / 2= 12.5 meters

Area of a circle = 3.14 * (12.5m)²
                        = 3.14 * 156.25 m²
Area of a circle = 490.625 m²

490.625 m² round to the nearest tenth is 490.60 m²

We round down because the number after 6 is 2. Whenever a number to be rounded off is followed by 0,1,2,3,and 4. Then, the number is rounded down.
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6 0
3 years ago
A gardener is planting two types of trees:
lara [203]

It will take exactly 4 years for these trees to be the same height

Step-by-step explanation:

A gardener is planting two types of trees:

  • Type A is 3 feet tall and grows at a rate of 7 inches per year
  • Type B is 5 feet tall and grows at a rate of 1 inches per year

We need to find in how many years it will take for these trees to be the

same height

Assume that it will take x years for these trees to be the same height

The height of a tree = initial height + rate of grow × number of years

Type A:

∵ The initial height = 3 feet

∵ 1 foot = 12 inches

∴ The initial height = 3 × 12 = 36 inches

∵ The rate of grows = 7 inches per year

∵ The number of year = x

∴ h_{A} = 36 + (7) x

∴ h_{A} = 36 + 7 x

Type B:

∵ The initial height = 5 feet

∴ The initial height = 5 × 12 = 60 inches

∵ The rate of grows = 1 inches per year

∵ The number of year = x

∴ h_{B} = 60 + (1) x

∴ h_{B} = 60 + x

Equate h_{A} and h_{B}

∴ 36 + 7 x = 60 + x

- Subtract x from both sides

∴ 36 + 6 x = 60

- Subtract 36 from both sides

∴ 6 x = 24

- Divide both sides by 6

∴ x = 4

∴ The two trees will be in the same height in 4 years

It will take exactly 4 years for these trees to be the same height

Learn more:

You can learn more about the rate in brainly.com/question/10712420

#LearnwithBrainly

3 0
3 years ago
8\3as a mixed number
Ber [7]

2 2/3

hope i helped. (:

7 0
2 years ago
Read 2 more answers
Write the point-slope form of the equation of the line through the given point woth the given slope
Andrej [43]

Answer:

3.) \displaystyle y - 4 = 4[x - 1]

2.) \displaystyle y + 5 = 2[x + 2]

1.) \displaystyle y + 3 = 1\frac{1}{5}[x + 5]

Step-by-step explanation:

In the Point-Slope Formula, \displaystyle y - y_1 = m[x - x_1],all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

* \displaystyle 1\frac{1}{5} = \frac{6}{5}

I am joyous to assist you anytime.

3 0
2 years ago
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