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WINSTONCH [101]
3 years ago
5

A square sandbox has an area of 75 square feet. Estimate the length of one of the sides of the sandbo

Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0

not understanding what you are saying?

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Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m
Dovator [93]

Option a: \frac{m^{5} }{162n} is the equivalent expression.

Explanation:

The expression is \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } where m\neq 0, n\neq 0

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }

Cancelling the like terms, we have,

\frac{3^{-3}m^{5} n^{-1}}{6 }

This equation can also be written as,

\frac{m^{5}}{3^{3}6 n^{1} }

Multiplying the terms in denominator, we have,

\frac{m^{5} }{162n}

Thus, the expression which is equivalent to \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } is \frac{m^{5} }{162n}

Hence, Option a is the correct answer.

8 0
3 years ago
Read 2 more answers
14
uranmaximum [27]

Answer:

x = 2515

Step-by-step explanation:

5000 = 2x - 30

2800 = x

<h2>have a great day! I hope this helps! </h2>
4 0
2 years ago
A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players run from one corner to the other corne
velikii [3]

Answer:

164.0123 meters

Step-by-step explanation:

√(130^2 + 100^2)

the diagonal of rectangle is the hypotenus

7 0
2 years ago
Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if o
nirvana33 [79]

Answer:

The two angles are 69° and 21°.

Step-by-step explanation:

Write out the expression:

let x and y be two angles that are complementary and the sum of their measures is 90°

-> x° + y° = 90°

if one angle is 6º more than three times the other angle:

-> x° = 6° +3y°

Plug x = 6+3y into x° + y° = 90°

6° + 3y° + y° = 90°

Solve for y

4y° = 84°

y° = 21°

Plug y into x° + y° = 90°

x° + 21° = 90°

Solve for x°

x° = 90° - 21° = 69°

4 0
2 years ago
8.9 x 3.8 Give me the answer please
slavikrds [6]

Answer:

<u>33.82</u>

Step-by-step explanation:

8.9 x 3.8 would be 33.82

make brainliest if u want

Hope this helped :)

5 0
2 years ago
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