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Marina CMI [18]
2 years ago
6

Is 22/13 equivalent to 13/4?

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
4 0

Answer:

yes

Step-by-step explanation:

22/13 =1.69≈3.2

13/4 = 3.2

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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
What is the y-intercept for the below inequality?
san4es73 [151]

Answer:

The correct answer is C

Step-by-step explanation:

In order to find the y-intercept, you need to first solve the inequality for y.

5x - 3y ≤ 15

-3y ≤ -5x + 15

y ≥ 5/3x - 5

Now we look at the constant at the end. Since that constant is -5, we know C to be the answer.

8 0
3 years ago
Kevin is 6 years older than Timothy, and 4 years ago Kevin was twice as old as Timothy. Find their present ages.
vovangra [49]
<span>Kevin is 16
Timothy is 10
------------
check:
4 yrs ago Kevin was 12
4 yrs ago Timothy was 6
Kevin was twice his age
OK</span>
6 0
3 years ago
Each day, there is a 75% chance that elise will do her homework. what is the probability she does her homework on monday or tues
serg [7]
This problem is easier solved by finding the probability that she does NOT do her homework both Monday and Tuesday, which is obtained by the multiplication rule.

P(no HW on Monday) = 1-0.75 = 0.25
P(no HW on Tuesday) = 1-0.75 = 0.25
P(no HW on both Monday and Tuesday) = 0.25*0.25=0.0625 
    [by the multiplication rule]

This means that the rest of the time (1-0.0625=0.9375) Elsie does her homework either Monday, or Tuesday, or both days.
=>
P(HW either Monday, Tuesday, or both) = 0.9375

(note: in current English, Monday or Tuesday means "either Monday, Tuesday, or both days")

5 0
3 years ago
Read 2 more answers
In how many ways can 12 basketball players be listed in a program?
Snezhnost [94]
12!
= 12X11X10X9X8X7X6X5X4X3X2X1
479001600   I believe
5 0
3 years ago
Read 2 more answers
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