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LekaFEV [45]
3 years ago
14

Simplify. Assume that no denominator is equal to zero.

Mathematics
1 answer:
maria [59]3 years ago
3 0

Answer:

3³

Step-by-step explanation:

Using the rule of exponents

\frac{a^{m} }{a^{n} } = a^{(m-n)}

Given

\frac{3^{10} }{3^{7} }

= 3^{(10-7)}

= 3³

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600 miles in 8 hours<br><br> _?_ miles per hour<br><br> (number answer only)<br><br> Question
kow [346]

Answer:

75

Step-by-step explanation:

you have 600 = 8 and you want to break it down into just 1 hour so you divide both sides by 8

600/8 = 75

4 0
3 years ago
The ratio 20:40:100 in its simplest form.
Gala2k [10]

Answer:

1 : 2 : 5

Step-by-step explanation:

20 : 40 : 100 ( divide each part of the ratio by 20 , the HCF of 20, 40, 100 )

= 1 : 2 : 5

6 0
2 years ago
Lin is playing hand ball and wants the ball to bounce off wall CB and land at D. Where on the wall should she aim if she's stand
ASHA 777 [7]

The triangles formed by the path of the ball and the wall in the given diagram are similar triangles.

<h3>Correct Response;</h3>

The point on the wall she should aim is; <u>A. 7.8 feet away from point B</u>

<h3 /><h3>Method by which the above value is obtained;</h3>

The possible diagram in the question is attached

Let <em>x</em> represent the distance from point <em>B</em> where the ball lands.

ΔCDE is similar to ΔABE, by Angle-Angle similarity postulate.

By trigonometric ratio, the tangent of the angles ∠CDE and ∠BAE are;

tan(\angle CDE) = \mathbf{\dfrac{20 - x}{25}}

tan(\angle BAE) = \mathbf{ \dfrac{x}{16}}

tan(∠CDE) = tan(∠BAE)

Therefore;

\dfrac{20 - x}{25} = \dfrac{x}{16}

Which gives;

16 × (20 - x) = 25·x

320 = 41·x

x = 320 ÷ 41 ≈ 7.8

The point on the wall she should aim if she's standing at point <em>A</em> is therefore;

  • <u>A, 7.8 feet away from point </u><u><em>B</em></u>

Learn more about trigonometric ratios here:

brainly.com/question/4326804

7 0
2 years ago
What is the volume of a rectangular prism with length 13 cm, height 7 cm, and width 5 cm? 455 cm³ 455 cm 455 cm²
Rama09 [41]

Answer:

455 cm^3

Step-by-step explanation:

A three dimensional configuration with its face shaped of rectangle is called a Cuboid. So, the prism is in the shape of a cuboid.

The volume of a cuboid = Length *Breadth*Height

                                       =13cm*5cm*7cm\\=455cm^3

The volume of the cuboid shaped prism is 455 cm^3

7 0
3 years ago
Joe borrowed $2,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 8 years?
storchak [24]

Answer:

Do 2000 x 8

Step-by-step explanation:

16,0000

6 0
3 years ago
Read 2 more answers
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