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1 year ago

1/2 (89-18) = -57 g=

Mathematics

1 answer:

Furkat [3]1 year ago

5 0

Answer:

g= - 1/8094

Step-by-step explanation:

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40 is 20% if what number?

Mamont248 [21]

Answer:

200

Step-by-step explanation:

Use the ratio: 20/100 = 40/X

Simplify the ratio: 1/5 = 40/X

Cross Multiply: 1X = 200

Divide both sides by 1: 1X/1 = 200/1

Simplify: X = 200

6 0

2 years ago

What is the rule for this sequence 6, 18, 54, 162, 486

ahrayia [7]

Multiply the number by 3

3 0

3 years ago

Read 2 more answers

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

What is the difference? Write the difference. 8-2=6

guajiro [1.7K]

The difference is 6 because it is what we get when we subtract 8 and 2.

Final answer: 6

7 0

2 years ago

Read 2 more answers

What should be the first step in solving 13 y − 14 = 42?

AveGali [126]

Answer:

The first step should be adding 14 to both sides of the equation.

Step-by-step explanation:

14 must be added on both sides of the equation to get 13y by itself. The ultimate goal is to get y by itself if we are solving for y.

Once 14 is added on both sides, you'll get:

13y = 56.

Then 13 would be divided from both sides.

y = 4.3

8 0

2 years ago