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3 years ago

What’s the answer please i don’t need work shown :)

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

6 0

Answer:

102

You didn't ask for work and I shall respect your wish

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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

Answer fast please please

Maurinko [17]

Answer:

A: 200 combinations

Step-by-step explanation:

You multiply 4 by 10 to get 40 and then you multiply 40 by 5 to get 200 options

3 0

4 years ago

The area of a rectangular wall of a barn is 100 square feet. Its length is 10 feet longer than twice its width. Find the length

Leona [35]

Answer:

aw dawd awdaw adawd awd a

Step-by-step explanation:aw dawd awd a

wd awd awd a awa da a

d ad a

d aw

daw

awd

ad adawd awd awdd

5 0

3 years ago

Read 2 more answers

If f(x) = 4х2 +1 and g(x) = х2 – 5, find (f-g)(x).

liq [111]

Answer:

The answer is B

Step-by-step explanation:

f(x) = 4x² + 1

g(x) = x² - 5

(f-g)(x) = 4x² + 1 - (x²-5)

= 4x² + 1 - x² + 5

= 3x² + 6

7 0

3 years ago

I will give brainliest please help

gayaneshka [121]

Answer:

Third option : 9^10 / 9^2

Step-by-step explanation:

9^2 . 9^6

Formula / Identity : -

a^m . a^n = a^( m + n )

Here,

a = 9

m = 2

n = 6

9^2 . 9^6

= 9^( 2 + 6 )

=9^8

9^10 / 9^2

Formula / Identity : -

a^m / a^n = a^( m - n )

Here,

a = 9

m = 10

n = 2

9^10 / 9^2

= 9^( 10 - 2 )

= 9^8

Therefore,

9^10 / 9^2 is equivalent to 9^2 . 9^6.

4 0

3 years ago

Read 2 more answers