√75 = √(5²×3) = √5² √3 = 5√3 = 8.66
√48 = √(4²×3) = √4² √3 = 4√3 = 6.93
√12 = √(2²×3) = √2² √3 = 2√3 = 3.46
√125 = √(5²×3) = √5² √3 = 5√3 = 11.18
√28 = √(2²×7) = √2² √7 = 2√7 = 5.29
To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
h(t) = -0.2t² + 2t
Differentiating,
dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds.
Answers: maximum height = 5 ft
time it will reach the ground = 10 s
Answer:
x = 25
Step-by-step explanation:
It is given that,
JK =5x+17,
KL = x -1,
JL=7x-9
We need to find the range of possible values for x.
It can be assumed that K is a mid point of JL.
JL = JK + KL
Putting all the values,
7x-9 = 5x+17 + x -1
Taking like terms together,
7x-5x-x = 17-1+9
x = 25
So, the value of x is 25.
2 angles opposite from each other are vertical angles.
Vertical angles are equal to each other.
Since Y is opposite the given angle of 163 degrees, Y = 163.
Answer:
Step-by-step explanation:
0,20