It is easier to show th anser using fractions.
Do=original diameter
Ao=Original area
Df=Final diameter
Af=Final area
Df=(1+50%)Do=(1+1/2)Do=3/2*Do
Ao=pi/4*(Do)^2
Af=pi/4*(Df)^2=pi/4*(3/2*Do)^2=pi/4*9/...
Comparing the initial and final area:
Af/Ao=(pi/4*9/4*(Do)^2)/(pi/4*(Do)^2)
simplifying
Af/Ao=9/4=225%
Therefore the increment is 9/4-1=5/4=125%
Or equivalently: 225%-100%=125%
Therefore the answer is "D."
Note: there is calculate the increment in the difference not how many times the area changed.
Hope this helps ;)
Answer:
20
Step-by-step explanation:
P/5 + 6 = 10
P/5 = 10 - 6
P/5 = 4
(cross multiply)
P = 5 × 4
P = 20
Answer:
It is true that both cars are traveling at the same speed.
Step-by-step explanation:
Given that car A travels 20 miles over half an hour, we know that this car is traveling at a speed of 40 miles per hour.
Car B travels 30 miles in 3/4 of an hour, let us set up a proportion to solve whether or not Car B is traveling at the same rate as Car A
30 miles / (3/4 hour) = x miles / 1 hour Cross multiply
30 = (3/4) x Divide both sides by (3/4)
40 = x
Therefore, both Car A and Car B are traveling at the same rate.
Step-by-step explanation:
Answer:
6.76
Step-by-step explanation:
applying pythogorem theorem
a^2+b^2=c^2
5^2+b^2=13^2
25+b^2=169
b^2=169/25
b^2=6.76^2
b=6.76