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2 years ago

The value of an investment portfolio decreased by 8 % in 2010. In 2011, its value increased by 5% of

Mathematics

1 answer:

Ivenika [448]2 years ago

4 0

Answer:

$63422.42

Step-by-step explanation:

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Mateo makes 6 loaves of banana bread. He sells 2/3 of the loves of bread at the bake sale. Which expression represents how many

Lesechka [4]

Answer: 6 * 2/3

Step-by-step explanation:

7 0

3 years ago

15 percent of what number is 12

blagie [28]

12÷15=160
you have to divide 12 by 15 percent to get the missing number

5 0

3 years ago

Read 2 more answers

Are the ratios 9:5 and 3:2 equivalent? yes or no

castortr0y [4]

Yes they are equivalent

7 0

4 years ago

4 times as much as 3 is blank

NeX [460]

Answer:

Step-by-step explanation:

4 times 3 is 12.

4+4+4=12

5 0

3 years ago

baherus [9]

Answer: see proof below

Step-by-step explanation:

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