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2 years ago

Please help I’m struggling

Mathematics

1 answer:

gulaghasi [49]2 years ago

3 0

Answer: B, x=20; angle measure is 30°.

Step-by-step explanation:

Opposite angles are always the same.

You can see that 30° and 3x are opposite angles therefore 3x=30°.

In algebra, when a letter and a number are next to each other, it means times.

So, 3x=30° means 3 times something equals 30.

And we know that 3×10=30 so, x=10.

Hope this helps :)

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3 years ago

George walked around the entire perimeter of his rectangular garden. The length of his garden was 12 yards and the width was 8 y

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2 years ago

Which ratios of side lengths are equal to tan (a) ?

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Answer:

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2 years ago

Read 2 more answers

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<em>NOT VALID</em>

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2 years ago

According to postal regulations, a carton is classified as "oversized" if the sum of its height and girth (the perimeter of its

kotykmax [81]

Answer:

18" X 18" X 36"

Step-by-step explanation:

Given a square base container of height h, let a side of the base =s

The volume of the container, $V= s^2h$

If the sum of its height and girth (the perimeter of its base) equals 108 in

$4s+h = 108\\h = 108-4s$

Substituting h=108-4s into V

$V= s^2(108-4s)$

We are required to determine the maximum volume of such container, first we take the derivative:

$V'(s)= s(216-12s)$

Optimizing:

$s(216-12s)=0\\216-12s=0\\12s=216\\s=216 \div 12\\s=18$

Recall that: h = 108-4s

$h = 108-4(18)=108-72=36inch$

The dimensions of the carton are 18" X 18" X 36".

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2 years ago