First find the unit rate. Do 17.5/2.5 and you get 7. Next just multiply that by 10 and voila. It takes her 70 minutes to run the whole race.
7. general term of gp is given by ar^n-1
hence,4th term is given by
ar^3=15 ------(1)
ar^6=405-----(2)
equation 2/1,we get
r^3=27
so common ratio r=3
putting value of r in equation 1,
we get a=5/9
so gp upto 7 terms will be 5/9,5/3,5,15,45,135,405
8. a=3
given 4th term is -24
so ar^3=-24
substituting value of a we get r^3=-8
r^3= -2^3
so r = -2
using this x2 is ar= 3*-2=-6
x3 is ar^2= 3*4=12
Is there a picture that goes along with the question?
Answer:
5:2 is the lowest you could simplify it to
Step-by-step explanation:
The area of the base of cube B is 25/9 times larger than the area of the base of cube A.
<h3>How many times larger is the base area of cube B than the base area of cube A? </h3>
Because the cubes are similar, then we know that the dimensions of cube B are a dilation of scale factor K of the dimensions of cube A.
Then, the volume of cube B is K³ times the volume of cube A.
The area of any face of cube B is K² times the area of any face of cube A
From this we can write:
125 in³ = K³*27in³
(125/27) = K³
If we apply the cubic root in both sides, we get:
∛(125/27) = K = 5/3
Then the relation between the areas is equal to:
K² = (5/3)^2 = 25/9
The area of the base of cube B is 25/9 times larger than the area of the base of cube A.
If you want to learn more about dilations:
brainly.com/question/3457976
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