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aleksandr82 [10.1K]
3 years ago
15

A flower bed surrounds the base of a tree. It is enclosed by stones to form a circle that measure 25.12 feet around. What is the

radius of the circle
Mathematics
1 answer:
Eva8 [605]3 years ago
3 0
4.

Using the diameter is easier.

D = C/\pi

25.12/3.14 = 8

To find the radius from the diameter, divide by 2.

8/2 is 4.
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A town has a population of 18,000 and grows at 2% every year. What will be the population after 12 years, to the nearest whole n
S_A_V [24]

Answer:

22,828

Step-by-step explanation:

A=18000(1+0.02)^12

3 0
2 years ago
A hose is leaking water at a rate of 2 oz/h. How many cups of water will leak out after 2 weeks?
Over [174]

Answer:

84 cups of water will leak out after 2 weeks

Step-by-step explanation:

* Lets how many how to change oz to cup

- One cup contains 8 oz

- We can use the ratio to solve this problem

- A hose is leaking water at a rate of 2 oz/h

- We need to find how many cups of water will leak out after 2 weeks

∵ The rate of the water leak out is 2 oz/hr

∵ 1 cup contains 8 oz

∴ 1 oz = \frac{1}{8} cup

∴ 2 oz = 2 × \frac{1}{8} = \frac{2}{8} = \frac{1}{4} cup

∴ The rate of the water leak out = \frac{1}{4} cup/h

∵ 1 day = 24 hours

∵ 1 week = 7 days

∴ 1 week = 7 × 24 = 168 hours

∵ The number of hours in 1 week is 168

∴ The number of hours in 2 weeks = 168 × 2 = 336 hours

⇒    cups    :    hours

⇒      \frac{1}{4}         :   1

⇒     x         :    336

- By using cross multiplication

∴ x = 336 × \frac{1}{4}

∴ x = 84

- x represents the number of cups of water leak out

<em>84 cups of water will leak out after 2 weeks</em>

5 0
3 years ago
Which equation describes this line (1,10) (-3,2)
zubka84 [21]
Find the slope first:
m=y2-y-1/x2-x1

m=2-10/-3-1
m= -8/-4
m= 2

Select a point & put into y=mx+b to find b.
y=mx +b
10 =2(1) + b
10 =2 +b
8 = b

Rewrite the equation with your slope &intercept:

y=2x + 8

That's ^ the equation that describes your line!
6 0
3 years ago
The three sides of a triangle measure 8,10 and 12 units. Is this a right triangle? Prove whether it is or not using the converse
kvasek [131]

Answer:

square of longest side ≠ the sum of the squares of the other two sides

It's not a right triangle

Step-by-step explanation:

The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

square of longest side: 12       12² = 144

the sum of the squares of the other two sides: 8² + 10² = 164

4 0
3 years ago
What is the value of x?
Eduardwww [97]
The value of x is 3
8 0
3 years ago
Read 2 more answers
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