Answer:
The answer is D.
Step-by-step explanation:
Pythagorean Theorem.
<h3>The weight of small package is 5 ounces</h3>
<u><em>Solution:</em></u>
The price of mailing a small package is $0.32 for the first ounce
$0.21 for an additional ounce
Let "x" be the additional ounces
From given,
Simone paid $1.16 to mail her package
First ounce = $ 0.32
Therefore,
Money paid for additional ounces = 1.16 - 0.32 = $ 0.84
Given that,
$0.21 for an additional ounce
Therefore,

Thus weight of package = first ounce + 4 additional ounces = 5 ounces
Thus the weight of small package is 5 ounces
(a) The maximum height of the ball above the ground is 12.5 m and the time of motion is 1.43 s.
(b) The time taken for the ball to contact the other player at 0.5 m above the ground is 3.0 s.
<h3>Maximum height reached by the ball</h3>
The maximum height reached by the ball is calculated as follows.
At maximum height, the final velocity, v = 0
dh/dt = v = 0
dh/dt = -2(4.9)t + 14
0 = -9.8t + 14
9.8t = 14
t = 1.43 s
H(1.43) = -4.9(1.43)² + 14(1.43) + 2.5
H(1.43) = -10.02 + 20.02 + 2.5
H(1.43) = 12.5 m
<h3>Time to reach maximum height</h3>
12.5 = -4.9t² + 14t + 2.5
4.9t² - 14t + 10 = 0
t = 1.43 s
<h3>Time for the ball to reach 0.5 m above the ground</h3>
0.5 = -4.9t² + 14t + 2.5
4.9t² - 14t + - 2 = 0
t = 3.0 seconds
The complete question is below:
In a volleyball match Hanein serves the volleyball at 14 m/s, from a height of 2.5 m above the court. The height of the ball in flight is estimated using the equation, h = -4.9t² + 14t + 2.5, where t is the time in second and h is height above ground, in metres.
Learn more about time of motion here: brainly.com/question/2364404
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Answer:
x = 40
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
8(8 + x) = 12(12 + 20)
8(8 + x) = 12 × 32 = 384 ( divide both sides by 8 )
8 + x = 48 ( subtract 8 from both sides )
x = 40
I believe it is c but im not positive