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Sergeeva-Olga [200]
2 years ago
11

Why are radicals simplified before adding and subtracting? Explain your reasoning by adding sqrt8 and sqrt32 algebraically. Comp

are the process to multiplying and dividing.
Mathematics
1 answer:
Rashid [163]2 years ago
8 0
The first reason is that square root extraction is NOT a linear process, i.e.
√a + √b ≠ √(a+b) unless a = b. What usually happens is that some common factors can be gotten out frpom the radical and then the distributive law allows some consolidation of terms.
sqrt(8) + sqrt(32) = 2sqrt(2) + 4sqrt(2) = 6 sqrt(2)

but sqrt(8) + sqrt(24) = 2sqrt(2) + 2sqrt(6) = 2[sqrt(2) + sqrt(6)].
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Is this correct please explain
uysha [10]

Answer:

79°

Step-by-step explanation:

since this figure goes around completely, the sum would be 360°

1 and 3 are equal, so you would multiply 101 by 2

101 × 2 = 202

subtract 202 from 360

360 - 202 = 158

4 and 2 are equal, so divide 158 by 2

158 ÷ 2 = 79

so angle 4 = 79°

3 0
2 years ago
I really need help...Will mark brainiest
alexandr1967 [171]

Answer:

9a2b2=4c2

the 2s mean squared btw

Step-by-step explanation:

6 0
2 years ago
A Confidence interval is desired for the true average stray-load loss mu (watts) for a certain type of induction motor when the
Vaselesa [24]

Answer:

A sample size of 35 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the width W as such

W = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large must the sample size be if the width of the 95% interval for mu is to be 1.0:

We need to find n for which W = 1.

We have that \sigma^{2} = 9, then \sigma = \sqrt{\sigma^{2}} = \sqrt{9} = 3. So

W = z*\frac{\sigma}{\sqrt{n}}

1 = 1.96*\frac{3}{\sqrt{n}}

\sqrt{n} = 1.96*3

(\sqrt{n})^2 = (1.96*3)^{2}

n = 34.57

Rounding up

A sample size of 35 is needed.

3 0
3 years ago
Find the area of the trapezoid
valkas [14]

6, because the formula for funding area of a trapezoid is base 1 plus base 2 times the height divided by 2. So you plug that in and get [(6+2)4]÷2.

3 0
3 years ago
A circular coaster has a diameter of 5 inches. What is its area? write your answer using π.
Verizon [17]

Answer:

Step-by-step explanation:

Diameter=5 inches

Area= πr^{2}

<u>r is the radius of coaster.</u>

<u>Radius=diameter/2</u>

Substitute the value of D:

r=5/2

Now

Area=π \frac{5}{2} ^{2}

Area=π(\frac{25}{2})

Area=12.5π sq.inches

<h3><u>If you need to ask any questions, please let me know.</u></h3>
4 0
2 years ago
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