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Elden [556K]
2 years ago
11

What is 10/11x11/12 in the fraction form

Mathematics
1 answer:
AfilCa [17]2 years ago
7 0

Answer:

83/100

Step-by-step explanation:

10/11x11/12 is 0.8333333....

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What is 520 x 2<br> a 1040<br> b 1140<br> c 1340
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Which expression makes the equation true for all values of x? *
zavuch27 [327]

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If
baherus [9]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = \frac{\sqrt3}{2}

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}

Proof LHS → RHS:

LHS                          cos 165

Double-Angle:        cos (2 · 165) = 2 cos² 165 - 1

                             ⇒ cos 330 = 2 cos² 165 - 1

                             ⇒ 2 cos² 165  = cos 330 + 1

Given:                        2 \cos^2 165  = \dfrac{\sqrt3}{2} + 1

                              \rightarrow 2 \cos^2 165  = \dfrac{\sqrt3}{2} + \dfrac{2}{2}

Divide by 2:               \cos^2 165  = \dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \dfrac{2\sqrt3+4}{8}

Square root:             \sqrt{\cos^2 165}  = \sqrt{\dfrac{4+2\sqrt3}{8}}

Scratchwork:            \cos^2 165  = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2

                             \rightarrow \cos 165  = \pm \dfrac{\sqrt3+1}{2\sqrt2}

             Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

                             \rightarrow \cos 165  = - \dfrac{\sqrt3+1}{2\sqrt2}

LHS = RHS \checkmark

4 0
3 years ago
It rained 18 days during the month of April what percentage of day did it not rain during the month of April
kotykmax [81]
There are 30 days in April.

If 18 days had rain, it means 12 didn't.

18/30=x/100

Make sure both fractions can be made into fractions with a denominator of 100:

180/300=x/100

Divide 180/300 by 3:

60/100=x/100

This shows that the 18 days that did rain take up 60% of the whole month.

So then the remaining 12 days that didn't have rain must take up 40% of the month.

Solution:
40% of the days did not have rain during the month of April
6 0
3 years ago
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