Cos 52 = 0.6157
sin 42 = cos 48 = 2/3 (because 42 + 38 = 90 - complementary angles)
if tan 20,5 = 3/8 then tan 69.5 wil = 1 / 3/8 = 8/3
Answer: maximum height of the football = 176 feet
Step-by-step explanation:
We want to determine the maximum height of the football from the ground. From the function given,
h(t) = -16t^2+96t +32, it is a quadratic function. Plotting graph if h will result to a parabolic shape. The maximum height of the football = the vertex of the parabola. This vertex is located at time, t
t = -b/2a
b = 96 and a= -16
t = -b/2a = -96/2×-16= 3
Substituting t = 3 into the function if h
h(t) = -16×3^2+96×3 +32
=-16×9 + 96×3 +32
= -144+ 288+32
=176 feet
Look at the picture.
We have 3 cuboids. The formula of a volume of a cuboid is:
V = Length × Width × Height = lwh
The cuboid 1 are congruent to the cuboid 2.
<h2>1&2</h2>
l = 9 in, w = 10 in, h = 10 in
V = (9)(10)(10) = 900 in³
<h2>3</h2>
l = 6 in, w = 10 in, h = 10 in
V = (6)(10)(10) = 600 in³
The volume of the composite prism:
V = 2(900) + 600 = 1800 + 600 = 2400 in³
Answer:
What are the numbers?
Step-by-step explanation:
