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gladu [14]
3 years ago
13

What is the volume of this figure?

Mathematics
1 answer:
Sav [38]3 years ago
4 0

Answer:

90 cubic inches

Step-by-step explanation:

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Choose all the numbers that are common multiples of 12 and four
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12, 24 , and 36

Step-by-step explanation:

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The equation of a parabola is given.y=1/8x^2+4x+20 What are the coordinates of the focus of the parabola?
Lena [83]
He equation of a parabola is x = -4(y-1)^2. What is the equation of the directrix? 
<span>You may write the equation as </span>
<span>(y-1)^2 = (1) (x+4) </span>
<span>(y-k)^2 = 4p(x-h), where (h,k) is the vertex </span>
<span>4p=1 </span>
<span>p=1/4 </span>
<span>k=1 </span>
<span>h=-4 </span>

<span>The directrix is a vertical line x= h-p </span>
<span>x = -4-1/4 </span>
<span>x=-17/4 </span>

<span>------------------------------- </span>
<span>What is the focal length of the parabola with equation y - 4 = 1/8x^2 </span>
<span>(x-0)^2 = 8(y-4) </span>
<span>The vertex is (0,4) </span>
<span>4p=8 </span>
<span>p=2 (focal length) -- distance between vertex and the focus </span>
<span>------------------------------- </span>
<span>(y-0)^2 = (4/3) (x-7) </span>
<span>vertex = (7,0) </span>
<span>4p=4/3 </span>
<span>p=1/3 </span>
<span>focus : (h+p,k) </span>
<span>(7+1/3, 0)</span>
8 0
3 years ago
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In ΔRST, ∠R = 85° and ∠S = 52°. Find ∠T.
fenix001 [56]

Answer:

43°

Step-by-step explanation:

A triangle has a total angle of 180° and we can use it to find the answer.

The attachment is a visualization of the triangle.

In order to find angle T, we can use the triangle formula to find t.

{180}^{o} = r + s + t

By substituting r and s, we will get

{180}^{o}  =  {85}^{o}  +  {52}^{o}  + t

Hence, we can find T, which is

t =  {180}^{o}  -  {85}^{o}  -  {52}^{o}  =  {43}^{o}

4 0
2 years ago
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