Answer:
x=75
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
42 50
------ = ----------
42+63 50+x
42 50
------ = ----------
105 50+x
Using cross products
42(50+x) = 50*(105)
2100+42x = 5250
Subtract 2100 from each side
2100-2100+42x = 5250-2100
42x =3150
Divide by 42
42x/42 = 3150/42
x = 75
To find which ratio is higher, we can first convert the ratios into fractions (that makes it easier, at least for me) and then simplify the fractions and see which one is greater.
Since ratios are basically division, 15:20 =
, and
12:16 = 
Now we simplify these fractions. 15 and 20 have a GCF of 5, so taking out the common number gives us the simplified fraction of
.
12 and 16 have a GCF of 4, so taking out the common number gives us the simplified fraction of
. Since
=
, these ratios are the same.
Answer:
2 3 5 7 11 13 17 19 23 27
Step-by-step explanation:
12 I think
Answer:
508.68 in^2
Step-by-step explanation:
The equation given: 2πr^2+2πrh
Givens: r = 3 in, h = 3*8 in = 24 in, π ≈ 3.14
Substitution: 2(3.14)3^2+2(3.14)3*24
Solution: 508.68