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3 years ago

A satellite 200 miles above the earth is orbiting the earth once every 6 hours. How far does the satellite travel in 1 hour?

Mathematics

1 answer:

Shtirlitz [24]3 years ago

4 0

Answer:

The answer is below

Step-by-step explanation:

Speed is the ratio of total distance travelled to total time taken to cover distance.

The radius of the orbit = radius of earth + height of satellite from earth = 4000 miles + 200 miles = 4200 miles

The total distance around the orbit = perimeter of orbit = 2π(radius of orbit) = 2π(4200) = 8400π miles

$Speed=\frac{distance \ traveled}{time\ taken} =\frac{8400\pi\ miles}{6\ hours} =1400\pi\ miles/hour\\\\Distance \ traveled\ in \ 1\ hour=1400\pi\ miles/hour*1\ hour=1400\pi\ miles=4398.23\ miles\\\\Distance=4398\ miles$

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The lengths of the two diagonals of a rhombus are 6 cm and 8 cm. Find the length of its perimeter (in

adelina 88 [10]

Answer:

<em>The perimeter of the rhombus is 20 cm</em>

Step-by-step explanation:

<u>Perimeter of a Rhombus</u>

Given the lengths of the two diagonals of a rhombus, let's call them a and b, the perimeter of the rhombus is given by:

$P=2\sqrt{a^2+b^2}$

The values of the diagonals provided by the question are a=6 cm, b=8 cm, thus the perimeter is:

$P=2\sqrt{6^2+8^2}$

$P=2\sqrt{36+64}$

$P=2\sqrt{100}=2*10$

$P=20\ cm$

The perimeter of the rhombus is 20 cm

3 0

3 years ago

2. Use the distributive property to write an expression that is equivalent to 12 + 4x.

fredd [130]

Answer:

4(x+3)

Step-by-step explanation:

So with the distrubutive property, you look at the numbers you have, and then take the greatest common factor between the two.

So lets think about it, what goes into both 12 and 4?

2 does, but is that the greatest common factor? No.

What about 4? That goes into 12 and 4. Is it the greatest common factor? Yup it is.

So, what do we get when we take 4 from 4x? We get 1x, or just x.

How about 12? Well, when we take 4 from 12, we get 3.

Now, lets take the common greatest factor, and our two new numbers and put them back into the expression.

Remember that the greatest common factor, the one you took from the other numbers, is what goes first:

4()

Remember to put the parethese there, or else you would only be multiplying the first number by 4, and not the second.

Next lets put the other numbers in. In most expressions, you should put the x number in first, and the normal number in second. So it should now be:

This is your expression.

Hope this helps! ;)

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3 years ago

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For 1-3 write an equivalent expression <br> 1.) -3(7+5g) <br> 2.) (x+7)+3y <br> 3.) 2/9-1/5*x

alukav5142 [94]

$\huge \bf༆ Answer ༄$

The equivalent expressions are ~

<h3>Question : 1 </h3>

$\sf \: - 3(7 + 5g)$

$\sf - 21 - 15g$

$\sf- 15g - 21$

<h3>Question : 2</h3>

$\sf \:( x + 7) + 3y$

$\sf \: x + 7 + 3y$

$\sf \: x + 3y + 7$

<h3>Question : 3 </h3>

$\sf \dfrac{2}{9} - \dfrac{1}{5x}$

$\sf \dfrac{10x - 9}{45x}$

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statuscvo [17]

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Answer:

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Step-by-step explanation:

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