Answer:
19.48 m
Step-by-step explanation:
The formula that is used to find arc length is:
arc length = 2πr
In this question, r = 9m and the angle (θ) = 124°. Substitute the values into the formula.
arc length = 2 × π × 9 ×
= 2 × π × 9 × 0.3444
= 19.48 m
For this case we have the following function that models the problem is:
The time for which the maximum height occurs is obtained by deriving the equation:
We equal zero and clear x:
The maximum height is obtained by evaluating the time obtained in the given equation:
Then, by the time it reaches the ground we have:
From here, we clear x solving the quadratic equation:
We discard the negative root, and obtain as a result:
Answer:<span>
2.The pumpkin's maximum height is 151.02 feet and it hits the ground after 6.04 seconds </span>
Answer:
(x,y) (1,3)
Step-by-step explanation:
3x=-x+4
+x +x
4x=4
*divide/simply*
x=1
y=3(1)
y=3✓
y=-1+4
y=3 ✓
Answer:
190 yd^2
Step-by-step explanation:
This is a parallelogram, and you can essentially take the dotted line, cut off the excess and stick it on the back creating a rectangle with length 15.2 yd and height 12.5. To find the area you multiply the 2 together getting 190 yards squared.
700pi+2000. First calculate the area of the two straight shaded region. Each of them is 10 m wide and 100 m long, so their total area is 2*10*100=2000 m^2. Then calculate the curved regions, each of which is equal to the area of the bigger half circle minus small half circle, which is 1/2*pi*[(60+10+10)/2]^2-1/2*pi*(60/2)^2=350 pi m^2, so the total area is 2*350pi+2000 m^2=700pi+2000.