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Vera_Pavlovna [14]
3 years ago
7

Simplify the radical expression √100/2

Mathematics
1 answer:
Tresset [83]3 years ago
8 0

Answer: 5

Step-by-step explanation:

sqrt of 100 = 10

10/2 = 5

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Evaluate the square root
Alexandra [31]

\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0\\\\\sqrt{\dfrac{1}{144}}=\dfrac{\sqrt1}{\sqrt{144}}=\dfrac{1}{12}\\\\\\\sqrt1=1\ because\ 1^2=1\\\\\sqrt{144}=12\ because\ 12^2=144

3 0
3 years ago
Can someone help! I know the answer I just need step by step!
baherus [9]

Answer:

4 \sqrt{2}

Step-by-step explanation:

Rewrite 32 as the product of 16 and 2:

\implies \sqrt{32}=\sqrt{16 \cdot 2

Apply exponent rule \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}

\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}

Rewrite 16 as 4²:

\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}

Apply exponent rule \sqrt{a^2}=a

\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}

6 0
3 years ago
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Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.
Mazyrski [523]

Complete Question:

Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.

Write an equation using the Pythagorean Theorem to find the value of x.  

How far are Ava's feet from the balloon?

Answer:

Ava's feet is 17ft away from the balloon

Step-by-step explanation:

Given

height = 8ft

distance = 15ft

The attached image represents the scenario

Using Pythagoras theorem (from the attachment), we have:

x^2 = 8^2 + 15^2

x^2 = 64 + 225

x^2 =289

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6 0
3 years ago
The length of one leg of an isosceles right triangle is 7 units. What is the length of the hypotenuse?
Westkost [7]
Given that the hypotenuse of the isosceles right triangle
=
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,
⇒
the length of each leg
=
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√
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=
7
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2
Check :
(
7
√
2
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2
+
(
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2
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196
=
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(OK)
5 0
3 years ago
A jar contains five purple six yellow eight green and 5 orange jelly beans what is the probability of selecting a yellow jelly B
Stella [2.4K]

Answer:

Step-by-step explanation:

First you have to add up everything and get the answer which is 24. Then you have to consider that there are 6 yellow jelly beans. So you would have to put it as a fraction. Which would be... 6/24 hope I helped

5 0
4 years ago
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