Answer:
-24.8 m/s
Step-by-step explanation:
Given:
y₀ = 60 m
y = 40 m
v₀ = 15 m/s
a = -9.8 m/s²
Find: v
There are three constant acceleration equations we can use:
y = y₀ + v₀ t + ½ at²
v = at + v₀
v² = v₀² + 2a(y − y₀)
We aren't given the time, so we need to use the third equation, which is independent of time:
v² = v₀² + 2a(y − y₀)
Plug in the values:
v² = (15 m/s)² + 2(-9.8 m/s²) (40 m − 60 m)
v² = 617 m²/s²
v ≈ ±24.8 m/s
Since the coin is on the way down, the velocity is negative. So v = -24.8 m/s.
Though there are many common factors of 24, 36, and 60, thegreatest common factor (GCF) of 24, 36, and 60 is 12.
Answer:
7/2 is the slope and 5 is the y-intercept
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
7x-2y=-10
subtract 7x on both sides
-2y=-7x-10
divide by -2 on both sides
y=(7/2)x+5
7/2 is the slope and 5 is the y-intercept.
Answer:
The answer to your question is x = 3.356 cm
Step-by-step explanation:
This is a right triangle so we can use the Trigonometric functions to solve this problem.
Data
Ф = 40°
Adjacent side = 4 cm
Opposite side = x
Process
1.- We must know the lenght of the opposite side so we must use the tangent to solve it.
tangent Ф = 
2.- Solve it for Opposite side
Opposite side = tanФ x Adjacent side
Opposite side = tan 40° x 4
Opposite side = 0.839 x 4
Opposite side = 3.356
Opposite side = x = 3.356 cm
Answer:
2j - 53
Step-by-step explanation:
"53 less than twice jose's score" comes out to 2j - 53.