Answer:
A) 14.3606 ft
B) 2.8112 seconds
Step-by-step explanation:
A) At maximum height which is its peak, the velocity will be zero.
Now, we are given height modeled by;
h(t) = 4.98t² - 14t + 20
v(t) = dh/dt = 9.96t - 14.
At max height which is v(t) = 0, we have;
9.96t - 14 = 0
9.96t = 14
t = 14/9.96
t = 1.4056 s
Thus, height at this time is;
h(1.4056) = 4.98(1.4056)² - 14(1.4056) + 20
h(1.4056) = 14.3606 ft
B) time of flight = 2 × time to get to peak = 2 × 1.4056 = 2.8112 seconds.
Answer:
A
Step-by-step explanation:
Attached file
Volume of the bead = Volume of the sphere - volume of the cylindrical hole = 242.95 mm³.
<h3>What is the Volume of a Sphere and a Cylinder?</h3>
- Volume of a sphere = 4/3πr³
- Volume of a cylinder = πr²h
Volume of the bead = Volume of the sphere - volume of the cylindrical hole
= 4/3π(4³) - π(1²)(8)
= 268.08 - 25.13
Volume of the bead = 242.95 mm³
Learn more about volume of sphere on:
brainly.com/question/22807400
11 miles / 20 miles =.55
.55 x 100 = 55%
11/20 is the proportion and you multiply by 100 to gey a percent
another way to solve is
11/20 x 5/5 = 55/100 = 55%
you multiply by 5/5 because it is equal to one and it makes the denominator equal to 100 it also follows the rule that whatever you do to the top you must do with the bottom
Opposite angles are equal, so we know that C=2x and D=5x+5 as well.
The sum of the interior angles of any quadrilateral is 360, so we have
So, the measures of the angles are
