Answer: D. 453 miles .
Step-by-step explanation:
Given: The function 
models the distance, in miles, that Jessica is from her house <em>t </em>hours after she began returning home.
At t = 5 minutes = 
hour [1 hour = 60 minutes],
Distance covered by Jessica in 5 minutes = 
Jessica is 453 miles from her home after 5 minutes she began returning home.
Hence, the correct option is D. 453 miles .
Answer:
y = - 3x + 11
Step-by-step explanation:
the altitude is a line from the vertex A drawn perpendicular to the opposite side BC
calculate the slope of BC using the slope formula
m = 
with (x₁, y₁ ) = B (- 7, 3 ) and (x₂, y₂ ) = C (- 1, 5 )
= 
= 
= 
= 
given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 3
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y = - 3x + c ← is the partial equation
to find c substitute A (4, - 1 ) into the partial equation
- 1 = - 12 + c ⇒ c = - 1 + 12 = 11
y = - 3x + 11 ← equation of altitude from A
Answer:
C or 260.48
Step-by-step explanation:
Find area of both triangles:
20*16/2/2*2=160
Find area of circle;
pi*r*r/2= area of circle
d/2=r
16/2=8
pi*8*8/2 is about 100.53
160+100.53=260.53
Find the least common multiples of 4, 10, 12, 15
multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80
multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120
multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150
The least common multiple of 4, 10, 12, and 15 is 60.
4 x 15 = 60
10 x 6 = 60
12 x 5 = 60
15 x 4 = 60
One cylinder has two bases and one side, and the side is a rectangle.
So S = 2*base + side
S = 2* (pi*27^2) + (2*pi*27*37) = 3456pi
