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3 years ago

I need help on this question please I know so much help in one hour ( don't mind hand writing I'm rushing )

Mathematics

1 answer:

-Dominant- [34]3 years ago

8 0

18 because they need to be identical and you only have 18 chocolate bars

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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

A block of cheese has a volume of 280 cm3 and a mass of 230 g.

Leviafan [203]

Answer:

2.7g/cm^3

step-by-step explanation:

6 0

2 years ago

HELP me pleaseeeee please

siniylev [52]

Answer:

the answer is C (0, -9)

Step-by-step explanation:

to find y-intercept we need to keep the value x=0

in the given equation

6 0

3 years ago

Educators are testing a new program designed to help children improve their reading skills. The null hypothesis of the test is t

il63 [147K]

Answer is a hopefully it helps

3 0

3 years ago

5,400 inches to miles

Anit [1.1K]

1inch= 0,8(3) feet

5,400*0,8333 : 5280= 4,4999 :5280=0, 085 miles

4 0

3 years ago

Read 2 more answers