The volume of a rectangular prism is its length times width times height, or algebraically,

. You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute

into the formula for volume. You get

, and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get

. It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule

, if n is non-negative. The opposite applies so that

. For your final answer, you write

. This corresponds to
answer choice B.
Remember that
If the given coordinates of the vertices and foci have the form (0,10) and (0,14)
then
the transverse axis is the y-axis
so
the equation is of the form
(y-k)^2/a^2-(x-h)^2/b^2=1
In this problem
center (h,k) is equal to (0,4)
(0,a-k)) is equal to (0,10)
a=10-4=6
(0,c-k) is equal to (0,14)
c=14-4=10
Find out the value of b
b^2=c^2-a^2
b^2=10^2-6^2
b^2=64
therefore
the equation is equal to
<h2>(y-4)^2/36-x^2/64=1</h2><h2>the answer is option A</h2>
Answer:
4.5 meters
Step-by-step explanation:
The formula for the area of a rectangle is length x width. Using this formula, you can substitute the given information and find the area:
length x width = area
0.3km x 0.15km = area
0.045km = area
Finally, you can now convert square kilometres into square meters by multiplying by 100:
0.045 x 100 = 4.5 meters
Answer:
28.
Step-by-step explanation:
28 x 5 = 140
140 divided by 28 = 5.
5 hours.. 140 cupcakes. You divide the amount by the hours, showing you that 28 cupcakes per hour is the answer.