Answer:
t = -1, 2
Step-by-step explanation:
Step 1: Define
h(t) = -5t² + 5t + 10
Step 2: Factor
h(t) = -5(t² - t - 2)
h(t) = -5(t - 2)(t + 1)
Step 3: Find roots
0 = -5(t - 2)(t + 1)
0 = (t - 2)(t + 1)
t - 2 = 0
t = 2
t + 1 = 0
t = -1
Well, we are told that in the beginning, it has traveled 30km vertically, so do not forget to add that on at the end.
Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:
sin(angle)= opposite/hypotenuse:
sin(30) = n/40
40sin30=n
n=20km
Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.
We know that the angle opposite x is 45 degrees.
So, we will use sin to solve for x:
sin(angle)= opposite/hypotenuse
sin45= x/100
100sin45=x
x=70.711km
But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:
30km + 20km+ 70.711km = 120.711km
Answer:
the possible prediction of getting a purple or blue is 2 out of 6
Step-by-step explanation:
(hope this helps can i plz have brainlist :D hehe)
Answer:
n= 21
c= 3x
Step-by-step explanation:
The expression is given as;
(3x⁷)⁴
Apply the brackets law of indices which states that :
If a term with a power is itself raised to a power then the powers are multiplied together
(xᵃ)ᵇ = xᵃˣᵇ
Applying the same;
(3x⁷)⁴ = 3x²¹
If 3x²¹ = c^n
Then n = 21
and
c= 3x
It is 860.4 because if you multiply it in the calculator you will get the answer. So you put in 71.1 times 12 and you get 860.4.
