Answer:
I do belive your answer should be B and C if it's multiple choice but of its single the answer is B
Answer:
1. h = -16t² + 30t + 4
2. 2 s
Step-by-step explanation:
1. Write an equation that gives you the height of the feet of the ball as a function of time since it left the jugglers hand?
Since the height moved by the ball, h is given by
h = -16t² + vt + s
Since v = initial vertical velocity = 30 ft/s and s = initial height = 4 ft, then
substituting the values of the variables into the equation for h, we have
h = -16t² + vt + s
h = -16t² + 30t + 4
2. Then calculate if the juggler misses the ball how many seconds does it take to hit the ground?
The ball hits the ground when h = 0
So, h = 0 ⇒
-16t² + 30t + 4 = 0
dividing through by -2, we have
8t² - 15t - 2 = 0
Factorizing, we have
8t² - 16t + t - 2 = 0
8t(t - 2) + (t - 2) = 0
(8t + 1)(t - 2) = 0
8t + 1 = 0 or t - 2 = 0
8t = -1 or t = 2
t = -1/8 or t = 2
Since t cannot be negative, t = 2 s
So, the ball hits the ground after 2 s.
Answer:
Step-by-step explanation:
Two numbers that only have 1 as a common factor are called co-prime numbers.
<u>Example:</u>
Factors of 3 ⇒ 1, 3
Factors of 4 ⇒ 1, 2, 4
These numbers only have 1 as a common factor. So 3 and 4 are co-prime numbers.
Answer:
Step-by-step explanation:
<u>For old circular garden:</u>
take the radius as r.
then use the formula to find area of circle: πr² ......this is old garden area.
<u>For new enlarged garden:</u>
the radius is twice the old radius so, radius = 2 * r = 2r ......enlarged radius
now find area for this new garden: π(2r)² → 4πr²
In common fractions: (old garden)/(new garden)
: ( πr² ) / ( 4πr² )
: 1/4
Answer:
10000*39
Step-by-step explanation:
Simplify the equation fully.
(125 + 25)(5 - 1)
(15625 + 625)(25 - 1)
(16250)(24)
390000
Divide the answer by 39
390000/39 = 10000