7(x^2 +5x-7)
i think this is how it works
width = 83 cm
Perimeter = 2(width) + 2(length)
So if l = 99 cm, and p = 364, then
364 = 2w + 2(99)
364 = 2w + 198
166 = 2w
w = 83 cm
Answer:
Volume of a right prism = 65 cubic inches
Its height is increased by a factor of 20.
To find:
The new volume of the prism if the other dimensions do not change.
Solution:
The volume of a prism is:

Where, B is the base area and h is the height.
A right prism has a volume of 65 cubic inches.

The height of prism is increased by a factor of 20. So, the new volume is:




The volume of the new prism is 1300 in³.
Therefore, the correct option is B.
It is given to us that Tatenda takes t seconds to mow a square meter of lawn and Ciara takes c seconds to mow a square meter of lawn.
It is also given to us that Tatenda mows 700 square meters of lawn per week and Ciara mows 750 square meters of lawn per week.
Thus, if Tatenda mows 700
in a week, then that means he took
seconds to complete the mowing.
Likewise, if Ciara mows 750
in a week, then that means she took
seconds to complete the mowing.
Answer:
a) 8 subsets
b) 32 subsets
Step-by-step explanation:
The total number of subset of a set is known as the power of the set
Power of a set is expressed as;
P = 2^n
n is the number of element in the set
a) For a set containing 3 elements
n = 3
Power of the set = 2³
Power of the set is 8
This means that the set contains 8 different subsets
b) Cardinality of a set is the total number of element in the set
If the cardinal number of a set is 5, this means that the set contains 5elements
Hence the power of the set will be;
P = 2^5
P = 32
Hence the total number of subset for set whose cardinal number is 5 is 32