F(x) = x^5 - 1; g(x) = 5x^2; h(x) = 2x
Answer:
Answer:
V = (5 feet) (2 feet) (2 feet) V = 20 cubic feet To convert the volume into gallons, multiply the above answer by 7.48 since there are 7.48 gallons of water in one cubic foot. This will give us an answer of 150 gallons of water.
Step-by-step explanation:
Answer:
i. Colonel is about 201 feet away from the fire.
ii. Sarge is about 125 feet away from the fire.
Step-by-step explanation:
Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.
The total angle at the campfire from both the Colonel and Sarge =
+ 
= 
Thus,
<CAB =
-
= 
<CBA =
-
= 
Sine rule states;
=
= 
i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;
= 
= 
= 
cross multiply,
b = 
= 200.8993
Colonel is about 201 feet away from the fire.
ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;
= 
= 
= 
cross multiply,
a = 
= 124.8073
Sarge is about 125 feet away from the fire.
Answer:
y = 1 and x = - 6
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c ( where c is the value of the y- coordinates the line passes through )
The line passes through (- 6, 1 ) with y- coordinate 1 , then
y = 1 ← equation of horizontal line
The equation of a vertical line parallel to the y- axis is
x = c ( where c is the value of the x- coordinates the line passes through )
The line passes through (- 6, 1 ) with x- coordinate - 6 , then
x = - 6 ← is equation of vertical line
There are two cones, the area of a cone is base x height divided by 3. in order to find the base, you would need the area of the circle which is π r^2. once you have that, multiple it by the height and divide by three. you will need to find both of the cone’s volumes so you would need to add the two volumes together to find the volume of the entire shape