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mamaluj [8]
3 years ago
9

SQUARE ROOT RELATED - Please show work and/or explanation What is the square root of 180

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

Answer:

6\sqrt{5} or approximately 13.416407865

Step-by-step explanation:

List all of the factors of 180.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Find the perfect squares from the list such as:

1, 4, 9 and 36

Choose the biggest one and divide 180 by it.

180 / 36 = 5

Calculate the square root of your square number

\sqrt{36}=6

Your answer is 5\sqrt{6} (in its simplest radical form)

If you wanted to calculate the answer as a decimal, 5 x \sqrt{6} = approximately 13.416407865

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What is the constant of proportionality of y to x?
AleksAgata [21]

<u>Answer:</u>

2.5

<u>Step-by-step explanation:</u>

We are given a graph with a positive slope where the value of y increases when the value of x increases.

For the given graph, we are to find the constant of proportionality of y to x which is the slope of the given line.

We know the formula of the slope = \frac{y_2-y_1} {x_2-x_1}

Substituting the given values in the formula:

\frac{15-10}{6-4} = \frac{5}{2} = 2.5

4 0
3 years ago
Read 2 more answers
Simplify sqrt 3× sqrt 27
sleet_krkn [62]
√3√27

=√(3*27)

=√81

=9

As 9*9=81.

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

RULES:

√a√b=√ab

As (√a√b)²=((√a)²(√b)²)=√a√a√b√b=ab

When:

(√a√b)²=ab

√a√b=√ab
4 0
3 years ago
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If the angles are represented in degrees,find both angles: csc(2x+9) =sec(3x+26) Please respond quick
Olenka [21]

Answer:

Before solving the given trigonometric relation change everything to sines and cosines

Step-by-step explanation:

consider the given equation;

1/sin(2x+9)=1/cos(3x+26)

Multiplying the above equation on both sides by cos(3x+26)sin(2x+9) then we get,

cos(3x+26)=sin(2x+9)

By using identity,cos a=sin(90-a) expand above equation we will get,

sin(90-(3x+26))=sin(2x+9)

Then,

90-3x+26=2x+9

x=11

So the required value of the angle is 11 degree.

3 0
3 years ago
⚠️⚠️24 points⚠️⚠️
motikmotik

Answer: No. Equations even if it is paired. So on. It can only have one solution. Although this is only for a system of equations.

A linear can have two. It just depends on what the problem is.


Step-by-step explanation:


3 0
3 years ago
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What is 6^-2 without the exponent?
Nutka1998 [239]
The answer is 6. 
With is -36
7 0
3 years ago
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