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Lena [83]
3 years ago
14

If a rate is $56 per 7 hours is reduced to a unit rate, results is . do not include units in your answer

Mathematics
1 answer:
DiKsa [7]3 years ago
6 0
You'd probably need to divide 56 by 7 which gives you 8
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A bag contains 2 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the exact pro
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Answer:

0.25 or 25%.

Step-by-step explanation:

2 Red + 3 Blue + 7 Green = 12 Total Marbles.

You have 3 blue marbles out of the total marbles, so 3/12, then simplify it. 3/12 = 1/4. This gives you 0.25, or 25%.  

The probability of drawing a blue marble is 0.25 or 25%

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2 years ago
What is -3-(-4)? i think i'm confused
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Complete the following sentence.<br><br> A radius is________ <br> the diameter.
Ulleksa [173]

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1/2

Step-by-step explanation:

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If sinA=√3-1/2√2,then prove that cos2A=√3/2 prove that
Ivan

Answer:

\boxed{\sf cos2A =\dfrac{\sqrt3}{2}}

Step-by-step explanation:

Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .

<u>Given</u><u> </u><u>:</u><u>-</u>

• \sf\implies sinA =\dfrac{\sqrt3-1}{2\sqrt2}

<u>To</u><u> </u><u>Prove</u><u> </u><u>:</u><u>-</u><u> </u>

•\sf\implies cos2A =\dfrac{\sqrt3}{2}

<u>Proof </u><u>:</u><u>-</u><u> </u>

We know that ,

\sf\implies cos2A = 1 - 2sin^2A

Therefore , here substituting the value of sinA , we have ,

\sf\implies cos2A = 1 - 2\bigg( \dfrac{\sqrt3-1}{2\sqrt2}\bigg)^2

Simplify the whole square ,

\sf\implies cos2A = 1 -2\times \dfrac{ 3 +1-2\sqrt3}{8}

Add the numbers in numerator ,

\sf\implies cos2A =  1-2\times \dfrac{4-2\sqrt3}{8}

Multiply it by 2 ,

\sf\implies cos2A = 1 - \dfrac{ 4-2\sqrt3}{4}

Take out 2 common from the numerator ,

\sf\implies cos2A = 1-\dfrac{2(2-\sqrt3)}{4}

Simplify ,

\sf\implies cos2A =  1 -\dfrac{ 2-\sqrt3}{2}

Subtract the numbers ,

\sf\implies cos2A = \dfrac{ 2-2+\sqrt3}{2}

Simplify,

\sf\implies \boxed{\pink{\sf cos2A =\dfrac{\sqrt3}{2}} }

Hence Proved !

8 0
3 years ago
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