Answer:
Step-by-step explanation:
Let
l------> the length of the base of the prism
w------> the width of the base of the prism
h------> the height of the prism
we know that
The volume of the prism is equal to
Solve for w
That means-------> isolate the variable w
so
Divide both sides by (lh)
Simplify
The measurement of EF is EF=5.9
<h3>Answer: B) $878.28</h3>
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Explanation:
She starts off $16.75 in debt
Later on she deposits $16.75 to get completely out of debt and make the balance 0. This is after depositing the $5.72
So far her balance is $5.72
Add on $872.56 to get 5.72+872.56 = 878.28
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This is what your steps may look like
-16.75 + (5.72 + 16.75)
-16.75 + (16.75 + 5.72)
(-16.75+16.75) + 5.72
(0) + 5.72
5.72
5.72+872.56
878.28
The equation of a hyperbola is:
(x – h)^2 / a^2 - (y – k)^2 / b^2 = 1
So what we have to do is to look for the values of the variables:
<span>For the given hyperbola : center (h, k) = (0, 0)
a = 3(distance from center to vertices)
a^2 = 9</span>
<span>
c = 7 (distance from center to vertices; given from the foci)
c^2 = 49</span>
<span>By the hypotenuse formula:
c^2 = a^2 + b^2
b^2 = c^2 - a^2 </span>
<span>b^2 = 49 – 9</span>
<span>b^2 = 40
</span>
Therefore the equation of the hyperbola is:
<span>(x^2 / 9) – (y^2 / 40) = 1</span>
