Answer:
46degrees
Step-by-step explanation:
From the question, we are told that both triangles are similar, hence;
<E = <S
<D = <R
<F = <T
From triangle DEF
<D + <F + <E = 180
Since <D = <F = 67
67 + 67 + <E = 180
134 + <E = 180
<E = 180 - 134
<E = 46degrees
Since <E = <S, hence the measure of <S is 46degrees
Answer: 401.9
Step-by-step explanation:
Formula for volume of sphere is 4/3πr^3 = 4
r^3 = 64
4/3 x 3.14 = 6.28
6.28 x 64 = 401.92
Rounded to the tenth is 401.9
Answer:
-5.2
Step-by-step explanation:
Answer:
d. 24,000 at 3% and 8,000 at 5.5%
Step-by-step explanation:
Let the principal for the 3% loan be and that for the 5.5% loan be . Let their respective interests be and .
Then
From the question, the sum of the interests is 4640.
Also, the total amount borrowed is 32000.
To solve the last two equations simultaneously, multiply the second by 0.12 and subtract from the first (this eliminates ).
From ,
Hence, $24,000 was borrowed at 3% and $8,000 was borrowed at 5.5%.