Answer and Explanation:
The problem provides the following information:
Hypotenuse
=
h
y
p
=
5129
ft
Vertical drop
=
o
p
p
=
1275
ft
To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:
sin
θ
=
o
p
p
h
y
p
θ
=
sin
−
1
(
o
p
p
h
y
p
)
θ
=
sin
−
1
(
1275
ft
5129
ft
)
θ
=
sin
−
1
(
0.2485864691
)
θ
=
14.3938824691
≈
14.4
∘
The angle of depression is
14.4
Answer:
1.95 seconds or 2.06 seconds
(Depending on your acceleration value)
Step-by-step explanation:
s = ut + 0.5at²
u = 34 ft/s
a = -10 m/s² = -32.8084 ft/s²
s = 8-4 = 4 ft
4 = 34t + ½(-32.8084)t²
4 = 34t - 16.4042t²
16.4042t² - 34t + 4 = 0
t = 1.946, 0.125
Mike catches the ball the second time it was at a height of 8ft.
Do t = 1.95 s
If you use a = 32.17405 ft/s²,
t = 2.05655765 (2.06 seconds in 3 sf)
Answer:
The slope of the line is 
⇒ B
Step-by-step explanation:
You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule 
<em>Let us use this rule to answer the question</em>
From the attached graph:
∵ The given line passes through points (-1, -2) and (4, 2)
→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = -2 and y2 = 2
→ Substitute their values in the rule of the slope above
∴ 
∴ The slope of the line is
Have a picture of the problem?
Answer:
C. 1/3x + 5
Step-by-step explanation:
Plugging in the values for x, we get:
y = 1/3(0) + 5 = 5
y = 1/3(6) + 5 = 7
y = 1/3(12) + 5 = 9
y = 1/3(15) + 5 = 10
I almost broke my neck trying to read this problem. :(
