The value of f(5) is 
Step-by-step explanation:
The function is 
To find 
substitute 
in
Multiplying the terms, we get,
Adding the terms, we get,
Thus, the value of is
Answer:
first one x = 26
second one x = 11.12
Step-by-step explanation:
a^2 + b^2 = c^2
24^2 + 10^2 = c^2
676 = c^2
26 = c
a^2 = c^2 - b^2
a^2 = 12^2 - 4.5^2
a^2 = 123.75
a = 11.12
Answer:
Smax = 676 ft
the maximum altitude (height) the rocket will attain during its flight is 676 ft
Step-by-step explanation:
Given;
The height function S(t) of the rocket as;
S(t) = -16t2 + 208t
The maximum altitude Smax, will occur at dS/dt = 0
differentiating S(t);
dS/dt = -32t + 208 = 0
-32t +208 = 0
32t = 208
t = 208/32
t = 6.5 seconds.
The maximum altitude Smax is;
Substituting t = 6.5 s
Smax = -16(6.5)^2 + 208(6.5)
Smax = 676 ft
the maximum altitude (height) the rocket will attain during its flight is 676 ft
Answer:
105.46 feet
Step-by-step explanation:
We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.
Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.
