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2 years ago

Simplify by using radical. Rationalize denominators. 2a^-1/2

Mathematics

1 answer:

ra1l [238]2 years ago

4 0

Answer:

$\dfrac{2\sqrt{a}}{a}$

Step-by-step explanation:

$2a^{-\frac{1}{2}} =$

$= 2 \times \dfrac{1}{\sqrt{a}}$

$= 2 \times \dfrac{1}{\sqrt{a}} \times \dfrac{\sqrt{a}}{\sqrt{a}}$

$= \dfrac{2\sqrt{a}}{a}$

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Find the missing side lengths. Leave your answers as radicals in simplest form.

sattari [20]

Answer:

see explanation

Step-by-step explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , then

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{14\sqrt{3} }{x}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

x $\sqrt{3}$ = 28 $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

x = 28

-----------------------------------------------------------

To find y use the tangent ratio in the right triangle and the exact value

tan60° = $\sqrt{3}$ , then

tan60° = $\frac{opposite}{adjacent}$ = $\frac{14\sqrt{3} }{y}$ = $\sqrt{3}$ ( multiply both sides by y )

14 $\sqrt{3}$ = y $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

y = 14

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3 years ago

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3 years ago

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Bumek [7]

Answer:

The answer would be C

Step-by-step explanation:

He started at 250 lbs. He is losing 3 lbs every week.

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3 years ago

Read 2 more answers

How you divide a decimal

Tom [10]

Easy you just divide it like a regular then put move the decimal to the left the number of times letters are behind it.

8 0

3 years ago

Given a line segment that contains the points A,B, & C in order, if AB = x, BC = x, and AC is equal to 36, then x = _____.

Bumek [7]

Answer:

a. 18

Step-by-step explanation:

AB+BC = AC

x + x = 36

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x = 36/2

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3 years ago