Which face has an area of 28 cm

Mathematics

1 answer:

Neko [114]3 years ago

6 0

Answer:

trapezium?

Step-by-step explanation:

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Prove that: <br> (2-sin(2x))(sin(x) + cos(x)) = 2(sin^3(x) + cos^3(x))

Ber [7]

$\text{We use formulas: }\\ \\ 
1) ~~ (a + b)(a^2 -ab + b^2) =a^3 + b^3 \\ \\ 
2)~~ \sin(2x) = 2\sin x \cos x \\ \\ 
 3)~~ 1 =\sin^2(x) + cos^2(x) \\ \\ 
\text{We solve:} \\ \\ 
\Big(2-\sin(2x)\Big)\Big(\sin(x) + \cos(x)\Big) = 2\Big(\sin^3(x) + cos^3(x)\Big) \\ \\ 
\Big(2-2\sin(x)\cos(x)\Big)\Big(\sin(x) + \cos(x)\Big) = 2\Big(\sin^3(x) + cos^3(x)\Big) \\ \\ 
2\Big(1-\sin(x)\cos(x)\Big)\Big(\sin(x) + \cos(x)\Big) = 2\Big(\sin^3(x) + cos^3(x)\Big)$

$2\Big(\sin^2(x)+\cos^2(x)-\sin(x)\cos(x)\Big)\Big(\sin(x) + \cos(x)\Big) = \\ 2\Big(\sin^3(x) + cos^3(x)\Big) \\ \\ 
2\Big(\sin^2(x)-\sin(x)\cos(x)+\cos^2(x)\Big)\Big(\sin(x) + \cos(x)\Big) = \\ 2\Big(\sin^3(x) + cos^3(x)\Big) \\ \\ 
\boxed{2\Big(\sin^3(x) + cos^3(x)\Big) = 2\Big(\sin^3(x) + cos^3(x)\Big) }$

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4 years ago

What is the inverse of the function f(x) = 1/4x – 12?

iren2701 [21]

Step-by-step explanation:

y = 1/4 x - 12

x = 1/4 y - 12

1/4 y = x + 12

y = 4x + 48

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3 years ago

What number is between 17 and 25 and a multiple of 3?

IrinaVladis [17]

Answer:

The answer is 21........

Step-by-step explanation:

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4 years ago

Need help will mark Brainliest

MatroZZZ [7]

Answer:

Step-by-step explanation:

i think the answer is 94°

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3 years ago

On a coordinate plane, a triangle has points A prime (1, 2), B prime (3, negative 3), C prime (negative 1, negative 3). Triangle

Volgvan

Answer:

A'(5.5, -4.2), B'(7.5, -9.2), C'(3.5, -3.2)

Step-by-step explanation:

I really do hope I understood you correctly. I figured that the rule would have to be added to each point. If those are wrong, try subtracting the rule.

Again, I'm not trying to take your points and leave you with a wrong answer. I really did give it my best.

4 0

3 years ago

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