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3 years ago

Marcus needs 108 inches of wood to make a frame. How many feet of wood does Marcus need for the frame?

1 answer:

3 0

Basically, you are just simply converting inches to feet.
So we need to convert 108 inches to x feet.
12 inches = 1 foot
So, if 12 inches equals 1 foot, just divide 108 by 12 to get the number of feet.
108÷12≈9
So, 108 inches equals your answer of 9 feet.
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-Hope this helped :)

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Alex17521 [72]

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3 years ago

What is the measure of arc EF in circle H? O 41° O 50° O 114 O 1730

timurjin [86]

Answer:

The measure of arc EF = 41°

Step-by-step explanation:

Given:

Arc DE = 73°

$\angle FED=123\°$

Now, we know from central angle theorem that the measure of central angle by an arc is twice that of the angle made by the same arc at the circumference. Therefore,

$\textrm{Major Arc DGF}=2\times \angle FED\\\textrm{Major Arc DGF}=2\times 123\\\textrm{Major Arc DGF}=246\°$

Now, we know that sum of all arcs on a circle is equal to 360°.

Therefore, arc DGF + arc DE + arc EF = 360°

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Therefore, the measure of the arc EF is 41°.

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3 years ago

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Zinaida [17]

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Anything above zero would be the right answer, since there is an asymptote at $y=0$ .

So the range would be $y>0$

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3 years ago

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Show work and Factor 4x^2+xy-18y^2

grigory [225]

Answer:

$4x^2+xy-18y^2=(4x+9y)\,(x-2y)$

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

$(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2$

so we want the following to happen:

$a\,c = 4\\ad+bc=1\\bd--18$

Notice as well that $ad+bc =1$ means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product $bd=-18$ , then we can consider the case in which one of this (b or d) is the negative factor. So let's then assume that $a\,\,and \,\,c$ are positive.