Answer:
-8100
Step-by-step explanation:
(2/5)^-2(-3)^4
Given data
and second term
The first term= (2/5)^-2 and
Second term=(-3)^4
Simplify the first term
(2/5)^-2= 2^-2/ 5^-2= 1/2^2 * 1/5^2
=1/4/ 1/25
=1/4*25/1
=100
Simplify the second term
=(-3)^4
= -81
Hence, 100*81
=-8100
Answer:
5.24 in
Step-by-step explanation:
The arc length is calculated as
arc = circumference × fraction of circle
= 2πr × 
= 2π × 5 × 
=
≈ 5.24 in (2 dec. places )
Should be somewhere around there either way for 9. the angles are the same because you see the arrows on the parallel lines 8. I'm not quite as sure about
First solve:
7 + 3c = -11 --> c = -6
-9 - a/4 = 5 --> a = -56
b/5 +9 = 6 --> b = 75
second, solve:
a/f = -7 --> substitute -56 in for a --> -56/f = -7 --> f = 8
b/e = 3 --> substitute 75 in for b --> 75/e = 3 --> e = 25
3 = c/d --> substitutie -6 in for c --> 3 = -6/d --> d = -2
third solve:
g = d+e+f --> substitute -2 in for d, 25 in for e, and 8 in for f.
g = -2 + 25+8
g = 31