Let x and y be the two angles;
We have the equation: x + y = 180 and x = 5 + 6y;
Then, 5 + 7y = 180;
Finally, 7y = 175;
y = 25 degrees;
x = 180 - 25;
x = 155 degrees;
So When S is equal to 211
S = 16t^2 + 32t
211 = 16t^2 + 32t
Then, turn into a quadratic equation
0= 16t^2 + 32t - 211
Afterwards, simply find the roots of the equation by using your calculator formula 01.
you will be getting two answers,
t = 2.7666.... (correct to 3 significant figures)
t = -4.7666...(reject this because of its negative sign)
therefore, it will take 2.78 for the ball to fall 211 feet.
Answer:
Step-by-step explanation:
hello friend
the answer is
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Hope this helps
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Answer:
( p - 4 ) ( p - 12 ) = 0
Step-by-step explanation:
To factor this equation, let's apply the quadratic formula.
p^2 - 16p + 48 = 0
Let a = 1, b = -16, c = 48
[-b +/- sqrt(b^2 - 4(a)(c))] / 2 (a)
[- (-16) +/- sqrt( (-16)^2 - 4(1)(48)) ] / 2 (1)
= [ 16 +/- sqrt( 256 - 192) ] / 2
= [ 16 +/- sqrt(64) ] / 2
= [16 +/- 8] / 2
p = (16 + 8) / 2 ; p = (16 - 8) / 2
p = 24 / 2 ; p = 8 / 2
p = 12 ; p = 4
Hence, this equation factors into the following:
( p - 4 ) ( p - 12 ) = 0
Cheers.
91, I just kept adding 5 until I got to the 20th term