Answer:
-1=7-8
Step-by-step explanation:
-1=7-8
-1=-1
Answer:
35 green crayons
Step-by-step explanation:
g is number of green crayons
b is number of blue crayons
g = b + 21
plug in 14 for b:
g = 14 + 21
g = 35
35 green crayons
Answer:
Step-by-step explanation:
height of post ÷ length of shadow = 2/10 = ⅕
height of tower is ⅕ the length of its shadow.
⅕×125 = 25
The tower is 25 feet tall
Answer:
a. 144 ft
b. 5 s
Step-by-step explanation:
h = -16t² + 64t + 80
a. This is a parabola, so the maximum height is at the vertex.
t = -64 / (2 × -16)
t = 2
h = -16(2)² + 64(2) + 80
h = 144
The apple reaches a maximum height of 144 ft.
b. 0 = -16t² + 64t + 80
0 = t² − 4t − 5
0 = (t + 1) (t − 5)
t = -1 or 5
t must be positive, so it takes 5 seconds to reach the ground.
When Peter does this, he is creating two sides of a right-angle triangle. The distance from his house to that point will be the hypotenuse of the triangle thus, to work out the length of the hypotenuse, we have to use Pythagoras Theorem! So:
a² + b² = c²
15² + 15² = c²
225 + 225 = c²
450 = c²
15√2 = c
21.21320344 = c
So, this rounded to the nearest tenth would be:
21.2 meters !
