Answer:
1/12
Step-by-step explanation:
1/3 x1/4=1/12
It’s d, looks like you got it already! With ratios, just pay attention to not only the numbers but order of the words as well, so you can be sure the ratio follows the problem.
a) The time taken by the rocket to reach the maximum height is 2.75 seconds.
b) The maximum height of the rocket will be 127 feet.
<h3>What is speed?</h3>
Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
Given that:-
- A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet per second.
- The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=−16t²+88t+6.
a) The time taken by the rocket will be calculated as:-
We have a function h(t)=−16t²+88t+6. Now by taking the derivative of the function with respect to time and equating it to zero we will get the maximum time in which the rocket will reach the maximum height.
h(t) = -16t² + 88t + 6
h'(t) = 0
-32t + 88 = 0
32t = 88
t = 88 / 32 = 2.75 seconds
So the maximum time is 2.75 seconds.
b) Maximum height will be calculated as:-
Put the value of maximum time in the function h(t) = -16t² + 88t + 6 we will get the maximum height.
h(t) = -16t² + 88t + 6
h(2.75) = -16(2.75)² + ( 88 x 2.75 ) + 6
h(2.75) = 127 feet
Therefore the time taken by the rocket to reach the maximum height is 2.75 seconds and the maximum height of the rocket will be 127 feet.
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Answer:
(C) 102 degrees
Step-by-step explanation:
All angles in a triangle must add up to 180 degrees. If you know 2 angles, you must know the last one by subtracting the other two from 180. If you subtract 50 and 28, the two known angles in this situation, from 180, you get 102. Therefor, the last angle must be 102 degrees, or choice C.
Answer:
Sin A = 20/29
Cos A = 21/29
Tan A = 20/21
Sin C = 21/29
Cos C = 20/29
Tan C = 21/20
Step-by-step explanation:
Sine is opp/hyp, cosine is adj/hyp, and tangent is opp/adj.
