Answer:
Step-by-step explanation:
Let 
be the shaded area and 
be the unshaded area, then we know that
(1). 
and
(2). 
We solve for in the first equation and get:
and put this into the second equation and get:
Answer:
y =8.7
Step-by-step explanation:
y + 8.5 = 17.2
Subtract 8.5 from each side
y +8.5-8.5 = 17.2 -8.5
y =8.7
Answer:
t=1.283 seconds and
0.779 seconds
Step by step Explanation:
Given: h=18 ft
The given equation is h=2+33t-16t²
Then if we substitute the value of given h, h=18 ft into the given equation we have,
18=2+33t-16t²
Then if we re- arrange we have
16t²−33t+16=0
We can see that the above quadratic equation is in standard form, with a=16, b=33 and c=16 then we can use quadratic formula in solving it which is
t= −(−33±√[(−33) ²−4×16×16)]/(2×16)
= [33±√[1089−1024]/(32)
= [33±√[65]/(32)
=1.283 or 0.779 seconds
the two real roots , of the quadratic are:
1.283 and
0.779 seconds
t= 1.283 or 0.779 seconds
Hence, the ball is at 18 feet with height 0.779seconds after it has been thrown up and,
and is at 21 feet with height 1.283 seconds after after thrown down
Answer:
81.9
Step-by-step explanation:
63 of 130 is 48.46%
Steps to solve "what percent is 63 of 130?"
63 of 130 can be written as:
63
130
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100.
Answer:
2
Step-by-step explanation:
Evaluate p + 4 - 1 - (r + 4) where p = 4 and r = 1:
p + 4 - 1 - (r + 4) = 4 + 4 - 1 - (4 + 1)
4 + 1 = 5:
4 + 4 - 1 - 5
4 + 4 - 1 - 5 = (4 + 4) - (1 + 5):
(4 + 4) - (1 + 5)
4 + 4 = 8:
8 - (1 + 5)
1 + 5 = 6:
8 - 6
8 - 6 = 2:
Answer: 2
