Answer:
Step-by-step explanation:
The heights of neither the rectangular prism nor the triangular prism are given, so we don't know the volume of either.
If h is the height of the rectangular prism, then its volume is
6×8×h = 48
if the height of the triangular prism is h/2, then its volume is
(1/2)×24×8×(h/2) = 48
So we know the volumes are the same -- but we don't know what that volume is.
The <em><u>correct answer</u></em> is:
7.8 × 10⁷
Explanation:
To write a number in scientific notation, we want the decimal behind the first non-zero digit in the number. The first non-zero digit in 78 is 7; this means we want 7.8. In order to have the decimal point behind the 7, we need to move the decimal 7 places. This is the exponent of 10 in our scientific notation, which gives us
7.8 × 10⁷
Answer:
40 quarts.
Step-by-step explanation:
Let x =quarts of the 50% solution
so, according to the question
the typical mixture equivalent equation will be like this
so the answer will be 40 quarts of 50% solution should be added.
9514 1404 393
Answer:
c = 81
Step-by-step explanation:
The equation x² -c = 0 can be factored as ...
(x -√c)(x +√c) = 0
which has roots ±√c.
The roots are given as ±9, so we have ...
±9 = ±√c
c = (±9)² = 81
The value c = 81 makes the equation have ±9 as solutions.
Answer:
Step-by-step explanation:
We have
this equals to
now we try to agrupate to have exponent of 2 that we can cancel
we can take out the ones with exponent from the root
