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Arturiano [62]
3 years ago
8

Mr. Nice's backyard has an area of 225 square feet. What is the length of one side of his backyard?

Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0
  • Answer:

<em>C. 15 feet</em>

  • Step-by-step explanation:

<em>Area formula</em>

<em>A = l²</em>

<em>225 = l²</em>

<em>l = √225</em>

<em>l = √15²</em>

<em>l = 15 feet</em>

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How much interest will $875.00 earn after 3 months at 5.5%?
ZanzabumX [31]

Answer:

I = Prt

Substitute the given information. Remember to write the percent in decimal form. I = (500)(0.06)(3)

Simplify. I = 90

Check your answer. Is $90 a reasonable interest earned on $500 in 3 years? In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.

The simple interest is $90.

Step-by-step explanation:

Hope this <u><em>Helped!</em></u> :D

8 0
3 years ago
44 mi/h ≈ _______________ yd/min
kherson [118]
1290.67 tha the answer
3 0
3 years ago
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Bradley paid $33.53 for 7 gallons of milk. What is the price per milk gallon
katrin2010 [14]

Answer:

The Answer is 4.79

Step-by-step explanation:

All you have to do Divide 33.53 by 7 then you would get 4.79

I say divide because they want to know how much it one gallon of milk costs  So that is  why you have to divide

Hope I Helped! :3

3 0
3 years ago
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The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

4 0
3 years ago
Could someone help me for this?
lina2011 [118]

Answer:

x = - \frac{5}{3} , x = \frac{5}{2}

Step-by-step explanation:

to find the points of intersection equate the 2 equations , that is

7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )

6x² - 5x - 25 = 0 ← factor the quadratic on left side

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 25 = - 150 and sum = - 5

the factors are - 15 and + 10

use these factors to split the x- term

6x² - 15x + 10x - 25 = 0 ( factor the first/second and third/fourth terms )

3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term

(2x - 5)(3x + 5) = 0

equate each factor to zero and solve for x

3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - \frac{5}{3}

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

3 0
1 year ago
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