Answer:
93 feet
Step-by-step explanation:
Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:
dh(t)/dt = v(t) = -32t + 72
The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
Therefore, the maximum height of the pumpkin is:
h(2.25) = -16(2.25)^2 + 72(2.25) + 12
h(2.25) = -81 + 162 + 12
h = 93 feet
Answer:
1035.33 feet
Step-by-step explanation:
OBH is a triangle and the sum of the angles of a triangle = 180
∠OBH = 90°
∠OHB = 180 -(49 + 90) = 41°
The law of sines that the ratio of each side of a triangle to the sin of the angle opposite it is the same
Thus
A/sinα = B/sinβ = C/sinγ
where A, B and C are the three sides of the triangle and α, β, γ corresponding respectively to the angles opposite them.
Using the law of sines

Therefore BH which is the height the helicopter is flying at is

≈ 1035.33 feet
Difficult , easy , exciting , useful
the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake is 3.7
<u>Step-by-step explanation:</u>
Here we have , to find the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake . Let's find out:
We know that , Value of earthquake is given by formula
⇒
, Where M is magnitude of earthquake
is the measured magnitude of intensity of earthquake .
is the standard magnitude of intensity of earthquake .
According to question ,
, Hence
⇒ 
⇒ 
⇒ 
⇒
{ On rounding off we get }
⇒ 
Therefore , the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake is 3.7
Answer:
46,206
Step-by-step explanation:
simple math