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ahrayia [7]
2 years ago
11

Simplify each radical

Mathematics
1 answer:
const2013 [10]2 years ago
8 0

Answer:

AECG

Step-by-step explanation:

1

sqrt(49) = 7

sqrt(a^2) = a

sqrt(b^2) = b

For every two variables you can take one out from under the root sign and thorough the other one away.

Answer: E

2

sqrt(36) = 6

sqrt(a^2) = a  See comment for 1.

b must be left where it is. There is only 1 of them.

6asqrt(b)

Answer: A

3. sqrt(25) = 5

sqrt(b^2) = b

a must be left alone.  There's only 1 of them.

5b sqrt(a)

answer: C

4

sqrt(81 a b)

sqrt(81) = 9

The variables must be left alone. There's only1 of them

9 sqrt(ab)

Answer G

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Jim's monthly salary is $1,079.40. His monthly job hours are 140. What is his hourly rate of pay?
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A log is floating on swiftly moving water. A stone is dropped from rest from a 50.8-m-high bridge and lands on the log as it pas
TiliK225 [7]

Answer:

Horizontal distance between the log and the bridge when the stone is released = 17.24 m

Step-by-step explanation:

Height of bridge, h = 50.8 m

Speed of log = 5.36 m/s

We need to find the horizontal distance between the log and the bridge when the stone is released, for that first we need to find time taken by the stone to reach on top of log,

We have equation of motion. s = ut + 0.5 at²

       Initial velocity, u = 0 m/s

       Acceleration, a = 9.81 m/s²

       Displacement, s = 50.8 m

Substituting,

                  s = ut + 0.5 at²

                 50.8 = 0.5 x 9.81 x t²

                     t = 3.22 seconds,

So log travels 3.22 seconds at a speed of 5.36 m/s after the release of stone,

We have equation of motion. s = ut + 0.5 at²

       Initial velocity, u = 5.36 m/s

       Acceleration, a = 0 m/s²

       Time, t = 3.22 s

Substituting,

                  s = ut + 0.5 at²

                 s = 5.36 x 3.22 + 0.5 x 0 x 3.22²

                    s = 17.24 m

Horizontal distance between the log and the bridge when the stone is released = 17.24 m

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What is the height, x, of the equilateral triangle shown?
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Answer:

I think it's either 10√3 or 10

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