Answer:
-4
Step-by-step explanation:
7x^3 + 5x^2 - 2
= 7*-1 + 5*1 - 2
= -7 + 5 - 2
= -4
Answer:
a.2010 rad/min
b.2412 feet/min
Step-by-step explanation:
We are given that
Diameter of wheel,d=2.4 feet
Radius,r=
a.Rate=320 rev/minute
1 rev=
radian
320 rev/minute=
Where 
Angular speed=
b.Speed,v=

1st problem:
Use the Pythagorean theorem:
a^2+b^2=c^2
49+361=c^2
c^2=410
c=20.24
The answer is 20m
2nd problem:
First calculate the height using the Pythagorean theorem:
a^2+b^2=c^2
20^2+b^2=625 (i got 20 {radius} by half-ing the base edge length)
400+b^2=625
b^2=225
b=15
Next, solve for the volume:
V=a^2*h/3
V=40^2*15/3
V=1600*5
V=8000
The answer is the second choice or B.
Answer:
A
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
2x = 8 ( divide both sides by 2 )
x = 4
Answer:
560
Step-by-step explanation: