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Sergio039 [100]
3 years ago
14

A rectangular box has dimensions 4 ft by 5 ft by 2 ft. Increasing each dimension of the box by the same amount yields a new box

with volume six times the old. Find how much each dimension of the original box was increased to create the new box. Round your answer to two decimal places.
Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

(4+x)(5+x)(5+x) = 700

x^3 + 14x^2 + 65x + 100 = 700

x^3 + 14x^2 + 65x - 600 = 0

x = 4.225

rounding = 4.23

Step-by-step explanation:

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Kate's math homework had a set of equations and a one-word problem. She took 3 minutes to solve each equation, then 7 minutes to
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Answer:

15 equations

Step-by-step explanation:

Let

Number of equations in the homework = x

There is only a one-word problem

y = amount of time used to solve the word problem

She took 3 minutes to solve each equation, then 7 minutes to solve the word problem if it took her 52 minutes total,

Total = 3x + y

52 = 3x + 7

Subtract 7 from both sides

52 - 7 = 3x + 7 - 7

45 = 3x

Divide both sides by 3

x = 45 / 3

= 15

x = 15 equations

Therefore, she solved 15 equations

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Help me find answer to this
Debora [2.8K]

Answer:

\angle B=41.81^\circ

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:

\displaystyle \sin B=\frac{\text{opposite leg}}{\text{hypotenuse}}

Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:

\displaystyle \sin \angle B=\frac{2}{3}=0.667

Calculating the inverse sine function:

\angle B=\arcsin (0.667)

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