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scZoUnD [109]
3 years ago
10

Combine these radicals

Mathematics
2 answers:
Lady_Fox [76]3 years ago
8 0

Answer:

option B is correct

-54

Step-by-step explanation:

Using radical and exponent laws:

\sqrt[n]{a^n} = a

Given that:

-6\sqrt{100}+\sqrt{36}

we can write 100 and 36 as:

100 = 10 \cdot 10= 10^2

36 = 6^2

then;

-6\sqrt{10^2}+\sqrt{6^2}

Apply the rule;

-6\cdot 10+6

-60+6

Combines constant terms;

-54

Therefore, Combine the given radicals we get, -54

lozanna [386]3 years ago
3 0
-6√100+√36=-6(10)+6=-60+6=-54

Answer: B. -54
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I answered it but I just need someone to answer just to make sure mine are right
Artemon [7]
<h2>The missing measures of the angles are:</h2>

m\angle 1= 60^{\circ}\\\\m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}

<u>Given</u>:

m\angle Z = 138^{\circ}

<em><u>Note the following:</u></em>

  • An equilateral triangle has all its three angles equal to each other. Each angle = 60^{\circ}.
  • This implies that, since \triangle WXY is equilateral, therefore, m\angle Y = m\angle XWY = m\angle XYW = 60^{\circ}

  • Base angles of an isosceles triangle are congruent to each other.
  • This implies that, since \triangle WZY is isosceles, therefore, m\angle 3 = \angle 5

Applying the above stated, let's find the measure of each angle:

  • Find m\angle 1

m\angle 1 = 60^{\circ} (an angle in an equilateral triangle equals 60 degrees)

  • Find m\angle 2

m\angle 2 = 60 - m \angle 3

m\angle 2 = 60 -\frac{1}{2}(180 - 138) (Note: \frac{1}{2}(180 - 138) = 1 $ base $ angle $ of $ \triangle WZY)

m\angle 2 = 60 -21\\\\m\angle 2 = 39^{\circ}

  • Find m\angle 3 and m\angle 5 (base angles of isosceles triangle WZY)

m\angle 3 =  \frac{1}{2}(180 - 138) (1 $ base $ angle $ of $ \triangle WZY)

m\angle 3 =  \frac{1}{2}(42) \\\\m\angle3 = 21^{\circ}

m\angle3 = m\angle 5 (base angles of isosceles triangle are congruent)

Therefore,

m\angle5 = 21^{\circ}

  • Find m\angle 4

m\angle 4 = 60 - m\angle 5

Substitute

m\angle 4 = 60 - 21\\\\m\angle 4 = 39^{\circ}

The missing measures of the angles are:

m\angle 1= 60^{\circ}\\\\ m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}

Learn more here:

brainly.com/question/2944195

5 0
2 years ago
The question is write the name of each term in the blank<br> 938<br> +347<br> 722<br> =2007
galben [10]

Answer:

+

Step-by-step explanation:

938 + 347 = 1285

2007 - 1285 = 722

CHECK:

938 + 347 + 722 = 2007

8 0
3 years ago
Hii please help i’ll give brainliest
BlackZzzverrR [31]

Answer:

3rd one

Step-by-step explanation:

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Vladimir79 [104]

Answer:

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Step-by-step explanation:

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Dorothy and Rosanne are baking cookies for a party. Working alone, Rosanne can finish the cookies in 6 hours. Dorothy can finish
garik1379 [7]

Answer:

It will take them 3.43 hours.

Step-by-step explanation:

Let T denote the total cookies that need to be cocked. Observe that:

  1. If Rosanne finishes the cookies in 6 hours, that means that she can make \frac{T}{6} cookies per hour.
  2. If Dorothy finishes the cookies in 8 hours, that means that she can make \frac{T}{8} cookies per hour.

Then, by 1) and 2), if they work together would we able to make

\frac{T}{6}+\frac{T}{8}=\frac{8T+6T}{48}=\frac{14}{48}T=\frac{7}{24}T

cookies per hour.

Therefore, in order to finish the T cookies they will need \frac{24}{7}\approx3.43 hours

3 0
3 years ago
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