14.14 inches
Convert 135° into radians. 135*2pi/360=3pi/4.
6*3pi/4=18pi/4=9pi/2=14.14
Another viable method is to do 2pi*6*135/360=14.14
Answer:
11.25
Step-by-step explanation:
The equation for a parabola is:
y − k = 1/(4p) (x − h)²
where (h, k) is the vertex and p is the distance from the focus to the vertex.
1/(4p) = 1/45
4p = 45
p = 11.25
The distance from the vertex to the focus is 11.25 inches.
Answer:
The hourly fee for rototiller is $3 per hour.
Step-by-step explanation:
We are given the following in the equation:
The rental company charged an initial fee of $43 with an additional fee per hour.
Let h represents the hourly fee.
The family paid $64 after renting the rototiller for 7 hours.
Thus, we can write the equation:

Solving the equation, we get,

Thus, the hourly fee is $3 per hour.
Equation:

where C(x) is the cost function and x is the number of hours rototiller is rented.
The hourly fee for rototiller is $3 per hour.
Answer:
484 feet maximum
Step-by-step explanation:
H(t)=-16t^2+112t+288
The maximum height occurs at the vertex of this graph.
Let us find the vertex.
vertex x-coordinate = -b/2a
x = -b/2a = -(112)/ (2*-16) = 7/2 sec.
H(7/2) = - 16 *(7/2)^2 + 112*(7/2) + 288
H(7/2) = -196 + 392 + 288 = 484 feet ..