Answer: Option A.
Step-by-step explanation:
1. The formula for caculate the perimeter of a rectangle is:
![P=2l+2w](https://tex.z-dn.net/?f=P%3D2l%2B2w)
Where
is the lenght and
is the width.
2. You must substitute the expression of the perimeter and the expression of the length given in the problem, into the equation and solve for the width. Therefore, you obtain that the width is:
![6x^{2}+46x+68=2(2x^{2}+18x+28)+2w\\6x^{2}+46x+68=4x^{2}+36x+56+2w\\2w=6x^{2}+46x+68-4x^{2}-36x-56\\w=\frac{2x^{2}+10x+12}{2}\\w=x^{2}+5x+6](https://tex.z-dn.net/?f=6x%5E%7B2%7D%2B46x%2B68%3D2%282x%5E%7B2%7D%2B18x%2B28%29%2B2w%5C%5C6x%5E%7B2%7D%2B46x%2B68%3D4x%5E%7B2%7D%2B36x%2B56%2B2w%5C%5C2w%3D6x%5E%7B2%7D%2B46x%2B68-4x%5E%7B2%7D-36x-56%5C%5Cw%3D%5Cfrac%7B2x%5E%7B2%7D%2B10x%2B12%7D%7B2%7D%5C%5Cw%3Dx%5E%7B2%7D%2B5x%2B6)
3. The answer is the option A.
Answer:
C is the answer
Step-by-step explanation:
2pir = 3pi
r = 3/2
area is pir^2
pi(3/2)^2= 9/4 pi cm^2
We have an equation: ?/100= 50/125
Cross multiply:
125*?= 50*100
⇒ ?= 50*100/125= 40
40% of 125 is 50~
Answer:
8579 mm^3
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)(pi)(r)^3, where r is the radius.
Here the radius is (appears to be) 16 mm.
Thus, the radius of this sphere is V = (4/3)(pi)(16 mm)^3, or 28268 mm^3.
But we want the volume of the hemisphere (half sphere). Thus,
divide the above result by 2:
The volume of this hemisphere is 8579 mm^3
70/10= 7
So,
77/10-70/10= 7/10
You need to subtract 7/10 from 77/10 to make 7.
I hope this helps!
~kaikers