Answer:
6cm
The dimensions are 6cm x 6cm x 6cm
Step-by-step explanation:
Surface area of a cube = 6a²
where a = edge
but because this cube isn't covered, the sides would by 5 and not 6
5a² = 180cm²
divide both sides by 5
a² = 36cm²
Find the square root of each side
a = 6cm
The dimensions are 6cm x 6cm x 6cm
Answer:
H
Step-by-step explanation:
Let a represent Ann's height, and let j represent Jay's height
Break up the sentence into the key parts.
"The difference between Ann's and Jay's heights" "is" "half of Jay's height"
"The difference between Ann's and Jay's heights" becomes the expression:
a - j
"is" is math means an equal sign '='
"half of Jay's height" becomes the expression: (1/2)j
Put the 3 parts together and get the equation:
a - j = (1/2)j,
Since all the equations in the answer choices are in terms of a, solve the above equation for a...
a = (1/2)j + j, which is answer H
Answer:
Step-by-step explanation:
By the Vertical Angle theorem, .
By the parallel line theorem,
So, and we're done!.
, so I assume you mean "find ".
We can rewrite this as an implicit equation to avoid using too much of the chain rule, namely
Differentiate both sides with respect to using the product and chain rules.
Now substitute the original expression for .
Now, since
we can write
Focusing on the rational expression in , we have the partial fraction expansion
where we have the constant term on the right side because both the numerator and denominator have degree 3.
Writing everything with a common denominator and equating the numerators leads to
and it follows that