Answer:
187 ft/s
Step-by-step explanation:
Given in the y direction:
v₀ = 0 ft/s
Δy = 75 ft
a = 32 ft/s²
Find: t
Δy = v₀ t + ½ at²
(75 ft) = (0 ft/s) t + ½ (32 ft/s²) t²
t = 2.165 s
Given in the x direction:
Δx = 480 ft
a = 0 ft/s²
t = 2.165 s
Find: v₀
Δx = v₀ t + ½ at²
(480 ft) = v₀ (2.165 s) + ½ (32 ft/s²) (2.165 s)²
v₀ = 187 ft/s
The volume of the square base pyramid is 588 ft³
The Volume of the rectangular prism is 120 ft³
The Volume of a rectangular pyramid is 360 ft³
<h3>What is volume of a shape?</h3>
Volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.
Volume of a square base pyramid = 1 / 3 × B × h
where
B = base area
Therefore,
Volume of a square base pyramid = 1 / 3 × 7² × 12
Volume of a square base pyramid = 1764 / 3 = 588 ft³
Volume of a rectangular prism = lwh
Volume of a rectangular prism = 6 × 5 × 4 = 120 ft³
Volume of a rectangular pyramid = 1 / 3 lwh
Volume of a rectangular pyramid = 1 / 3 × 10 × 12 × 9 = 1080 / 3 = 360 ft³
learn more on volume here: brainly.com/question/1578538
64 + 43 = 107
107 - 43 = 64
107 - 64 = 43
(-6,4) and (3, 1)
slope =(4-1)/(-6-3) = -3/9 = -1/3
equations
y - 4 = -1/3(x + 6)
y - 1 = -1/3(x - 3)
answer C and F
C. y - 1 = -1/3(x - 3)
F. y - 4 = -1/3(x + 6)
Answer:
x= 85
Step-by-step explanation:
(7x+6)-(5x-4)=180
There is a negative 1 between the two parenthesis
-1(5x-4)
-5x+4
Now plug it back into the equation and take out the parenthesis
7x+6-5x+4= 180
2x+10=180 Now we can solve
-10 -10
2x= 170
2x/2 = 170/2
x= 85
I hope this helps! :)