Answer: 720 square feet.
Step-by-step explanation:
Given : Elliott’s backyard is 4800 square feet.
His dad is going to pave 15% of this area to use as a patio.
We can rewrite 15% as 0.15 [To convert percent into decimal we divide it by 100.]
Then , the number of square feet will be paved is given by :-

Hence, the required answer is 720 square feet.
Answer:
it is slightly less than 12
Step-by-step explanation:
Answer:
(b) The probability is 0.375
(c) The probability is 0.750
Step-by-step explanation:
The probability is calculated as a division between the number of options that satisfy a condition and the total number of options.
For part (b), we have 8 cavities or options for obtain the part but we want to obtain the part from cavity 1, 2 or 3, so we have 3 options. Therefore, the probability is:

For part (c), We have 8 cavities or options for obtain the part and we want to obtain the part from any cavity except cavity 3 or 4, so we have 6 options. These options are cavity 1, cavity 2, cavity 5, cavity 6, cavity 7 and cavity 8. Then, the probability is:

Answer:
72 cm
Step-by-step explanation:
You can solve this problem using the properties of the 45-45-90 right triangle. Assuming the 12 cm is a diagonal of the square, each side of the square can be modeled as x, and the diagonal will be x
.
This means
, so
.
Next, to find the area of the square you take the square of any of its sides. Since x is the length of one side, and
, you can square
to get the area. This is equal to
or 72 cm.