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2 years ago

Help now plssss!!!!!

Mathematics

1 answer:

blondinia [14]2 years ago

7 0

Answer:

common denominator = 24

1/8 = 3/24

1/6 = 4/24

Step-by-step explanation:

to find common denominator:

8 - 8, 16, 24

6 - 6, 12, 18, 24

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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

The set of ordered pairs represents a function. Write a rule that represents the function.

maks197457 [2]

Y=3x^3 is the awnser

5 0

3 years ago

What is the value of a?<br> a-2 = 3462

Brums [2.3K]

Step-by-step explanation:

a-2=3+6a/3

By cross multiply

3(a-2)=3+6a

3a-6=3+6a

-6-3=6a-3a

-9=3a

a=-3

8 0

3 years ago

Which equation correctly shows how to determine the distance between the points (9,-2) and (6.3) on a coordinate grid?

Nastasia [14]

Answer:

d = $\sqrt{(6 - 9)^{2}+ (3 - (-2))^{2} }$

Step-by-step explanation:

The distance formula is d= $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }$ .

6 is $x_{2}$ , 9 is $x_{1}$ , 3 is y $_{2}$ , and -2 is y $_{1}$ .

When you plug these into the formula, you get d = $\sqrt{(6 - 9)^{2}+ (3 - (-2))^{2} }$

7 0

3 years ago

Please help!! I need help with 1-6

jekas [21]

Answer:

sorry don't know

Step-by-step explanation:

7 0

2 years ago