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uranmaximum [27]
3 years ago
14

the height of the snow was 84 inches in the beginning of the week. it melts at a rate of 0.15 inches per hour. how many hours wo

uld it take for the snow to reach 62 inches?
Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

It takes 147 hours for the snow to reach 62 inches.

Step-by-step explanation:

Given:

Height of the snow at the beginning  = 84 inches

Rate at which the snow melts = f 0.15 inches per hour

To Find:

The time taken for the  snow to reach 62 inches = ?

Solution:

Let the time taken to reach 62 inches be x

Then according to the question,

Total height of the snow - (rate of melting)(x) = 62 inches

On substituting the values,

84 - (0.15)(x) = 62

84 - 0.15x = 62

- 0.15x = 62 - 84

- 0.15x = -22

0.15x = 22

x = \frac{22}{0.15}

x= 146.6

x = 147

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3 years ago
A right triangle has a leg that measures 15 ft and the hypotenuse measures 24 ft. What would the
Serhud [2]

Answer:

x=19

Step-by-step explanation:

First, you place the numbers in place of the variables in their relative positions using the pythagorean theorem:

15^{2} +x^{2}=24^{2}

Then you square the numbers that you currently have:

225+x^{2}=576

Then subtract 225 from both sides to isolate the x:

x^{2} =576-225

This gives you the equation:

x^{2} =351

Then take the square root of both sides which gives you:

x=18.7349939952

Then round to the nearest whole number which gives you x=19

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2 years ago
The answer to get it right
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Answer:

Answer is A

Step-by-step explanation:

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7 0
3 years ago
Find the sides of a rectangle having area 125 square units if the sides are in the ratio 5:3.
tatiyna

For this case we have the following data:

Area of the rectangle, A = 125

Relationship of the sides 5: 3

By definition, the area of a rectangle is given by:

A = a * b

Where

  • a: is the longest side.
  • b: it is the side of least length.

If the sides have a 5: 3 ratio, it means:

\frac{a}{b}=\frac{5}{3}

a=\frac{5}{3}b

Substituting in the formula of the area, we have:

125 =a * b\\

125=\frac{5}{3}b*b

Clearing b:

3 * 125 = 5 * b ^ 2

\frac{375}{5}= b ^ 2

75 = b ^ 2

b =\sqrt{75}b = 8.7 units

Substituting and clearing:

125 = a * 8.7

a =\frac{125}{8.7}

a = 14.4units

So, the sides are:

a = 14.4units

b = 8.7units

Answer:

a = 14.4units

b = 8.7units


7 0
2 years ago
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