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3 years ago

2•^4= ? A) 1/16 B) 1/8 C) 1

Mathematics

1 answer:

zlopas [31]3 years ago

8 0

Answer:

1/16.

Step-by-step explanation:

2^-4 = 1/2^4

= 1/16.

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Answer:

<h3>Answer 3</h3>

$\to 5 \times \dfrac{3}{4} \\ \\ \to \dfrac{5 \times 3}{4} \\ \\ \to \dfrac{15}{4} \\ \\ \to \pmb{ 3 \dfrac{3}{4}}$

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2 years ago

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22. A storage container is shaped like a rectangular prism. The volume of the container is1,360 cubic feet. The area of the base

Dovator [93]

The volume of the rectangular prism is

$V=B\times H$

Where:

B is the base area

H is the height

Since the base area is 160 feet^2

Since the volume is 1360 feet^3

Substitute them in the rule above

$\begin{gathered} 1360=160\times H \\ 1360=160H \end{gathered}$

Divide both sides by 160 to find H

$\begin{gathered} \frac{1360}{160}=\frac{160H}{160} \\ 8.5=H \end{gathered}$

The height of the container is 8.5 feet

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9 months ago

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If the slope of the red line is one, the slope of the green line is also one. That's because parallel lines have the same slope.

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3 years ago

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Please help me thank you

Hoochie [10]

Answer:

$\large\boxed{\sin2\theta=\dfrac{\sqrt3}{2},\ \cos2\theta=\dfrac{1}{2}}$

Step-by-step explanation:

We know:

$\sin2\theta=2\sin\theta\cos\theta\\\\\cos2\theta=\cos^2\theta-\sin^2\thet$

We have

$\sin\theta=\dfrac{1}{2}$

Use $\sin^2\theta+\cos^2\theta=1$

$\left(\dfrac{1}{2}\right)^2+\cos^2\theta=1\\\\\dfrac{1}{4}+\cos^2\theta=1\qquad\text{subtract}\ \dfrac{1}{4}\ \text{from both sides}\\\\\cos^2\theta=\dfrac{4}{4}-\dfrac{1}{4}\\\\\cos^2\theta=\dfrac{3}{4}\to\cos\theta=\pm\sqrt{\dfrac{3}{4}}\to\cos\theta=\pm\dfrac{\sqrt3}{\sqrt4}\to\cos\theta=\pm\dfrac{\sqrt3}{2}\\\\\theta\in[0^o,\ 90^o],\ \text{therefore all functions have positive values or equal 0.}\\\\\cos\theta=\dfrac{\sqrt3}{2}$

$\sin2\theta=2\left(\dfrac{1}{2}\right)\left(\dfrac{\sqrt3}{2}\right)=\dfrac{\sqrt3}{2}\\\\\cos2\theta=\left(\dfrac{\sqrt3}{2}\right)^2-\left(\dfrac{1}{2}\right)^2=\dfrac{3}{4}-\dfrac{1}{4}=\dfrac{3-1}{4}=\dfrac{2}{4}=\dfrac{1}{2}$

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2 years ago