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Ne4ueva [31]
3 years ago
14

Kevin designs a sprinkler system for his yard. One rotation of the the sprinkler waters a circle with an area of 255pie square f

eet. What is the radius of the circle the sprinkler waters?
Mathematics
1 answer:
pantera1 [17]3 years ago
8 0
The area of a circle can be found using:
pi x r^2 (where r is the radius)

If the area of the circle is 255pi, then:
pi x r^2 = 255pi

Now we need to make r the subject:

r^2 = 255 (cancel the pi on both sides)

r = square root of 255

r = 15.96871942

Answer: 15.96871942 feet
Hope the answer helps :)
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A tank has a capacity of 10 gallons. When it is full it contains 15% alcohol. How many gallons must be replaced by an 80% soluti
PIT_PIT [208]

Answer:

8.46 gallons needed to be replaced

Step-by-step explanation:

Let x be the alcohol amount that replaced

-Original has concentration of 15% multiply by the amount of 10 ,which is equal to (0.15×10).

-Removed has concentration of 15% multiply by the amount of x ,which is equal to (0.15 × X).

-Added has concentration of 80% multiply by the amount of X ,which is equal to (0.8× X).

-Solution has concentration of 70% multiply by the amount of 10 ,which is equal to (0.70×10).

So that, the equation will be:

Solution=Original + added - removed

7=1.5+0.8x-0.15x

7-1.5=0.65x

0.65x=55

x=55/0.65

x=8.46

8.46 gallons needed to be replaced.

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3 years ago
What's the intercepts for the equation 4x-6y-5z=60?
Rudik [331]
To find the x_i intercept, set x_j=x_k=0. By this I refer to the following procedure.

x-intercept: Set y=z=0, then you're left with 4x=60\iff x=15. Then the x-intercept is (15,0,0).

y-intercept: Set x=z=0, then -6y=60\iff y=-10. The y-intercept is (0,-10,0).

z-intercept: Set x=y=0, then -5z=60\iff z=-12. The z-intercept is (0,0,-12).
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Need help on math question 20 points and brainlest
iris [78.8K]

Answer:

Im pretty sure the answer is 3.75

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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