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3 years ago

10

Find the volume of the prism. write your answer as a decimal.

1 answer:

pentagon [3]3 years ago

8 0

Answer:

161.21

Step-by-step explanation:

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If 14 out of 20 like chocolate then how many people dislike chocolate?

Masteriza [31]

You know from the given information, there are 20 people in total.
When asked 14 people stated that they liked chocolate. This leaves a group of people out of 20 who do not like chocolate.

20-14=6

You know from this that 6 people do not like chocolate while 14 of them do

Hope I helped :)

6 0

3 years ago

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

I'm a little bit confused about this question.

Virty [35]

Answer:

4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Is 5/8 closer to 0,1/2, or 1

Rina8888 [55]

0= 0/8

1/2= 4/8

1= 8/8

5/8 is closer to 1/2.

4 0

3 years ago

What is the next number? 2 7 8 3 12 9

Morgarella [4.7K]

After 9 it would be 10 so your answer is 10

7 0

3 years ago

Read 2 more answers