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2 years ago

Volume=300pie mmcubed Height=? Radius=12mm

Mathematics

1 answer:

zavuch27 [327]2 years ago

5 0

And the question is ?

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Prove that<br>{(tanθ+sinθ)^2-(tanθ-sinθ)^2}^2 =16(tanθ+sinθ)(tanθ-sinθ)

USPshnik [31]

First, expand the terms inside the bracket you will get

$(( \tan {}^{2} (x) + 2 \tan(x) \sin(x) + \sin {}^{2} (x) - ( \tan {}^{2} (x) - 2 \tan(x) + \sin {}^{2} (x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$( 4 \tan(x) \sin(x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$16 \tan {}^{2} (x) \sin {}^{2} (x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$16 \tan {}^{2} (x) (1 - \cos {}^{2} (x) ) = 16 (\tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$16( \tan {}^{2} (x) - \frac{ \sin {}^{2} (x) \cos {}^{2} ( {x}^{} ) }{ \cos {}^{2} (x) }$

$16( \tan {}^{2} (x) - \sin {}^{2} (x) ) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

5 0

1 year ago

How to subtract unlike fractions

topjm [15]

Find the common denominator for both unlike fractions.

EX: 1 2
12 8

The lowest common factor is both fractions is 24. Multiply both denominators to get 24.

Do not forget to multiply the numerators with the number you used to multiply the denominators together.

You do not have to multiply each side by the same number.

5 0

2 years ago

the number n is a 2-digit number. when n i divided by 10, the remainder is 9, and when n is divided by 9, the remainder is 8. wh

larisa [96]

Think of numbers that when they are divided by 10, the remainder is 9.
So numbers like: 19, 29, 39, 49, 59, 69, 79, 89, and 99.

Now numbers that when they are divided by 9, the remainder is 8.
So numbers like: 17, 26, 35, 44, 53, 62, 71, 80, 89, and 98.

Now the number that is alike from the two sets of numbers is n.
n=89

Double check your work.
Divide 89 by 10. Remainder of 9
Divide 89 by 9. Remainder of 8.

Hope this helps :)

6 0

2 years ago

Share $50 among Tom, Larry and Jim in the ratio 4:7:9. How much money does JIM get?

stiv31 [10]

Answer:

$22.5

Step-by-step explanation:

4x+7x+9x=50
20x=50
x=2.5

Jim gets 9*2.5= $22.5

6 0

2 years ago

Read 2 more answers

Which equation correctly applies the distributive property?

lesantik [10]

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Distributive law is defined as

$a\times (b+c+d)=a\times b+a\times c+a\times d$

According to option'A', we get that

a =- 3

b = 6

c = 0.4

d = 0.08

So, it becomes,

$-3\times (6.48)=-3\times 6+(-3)\times 0.4+(-3)\times 0.08$

Hence, option 'A' is correct.

8 0

2 years ago