Answer:
10.2 feet.
Step-by-step explanation:
We have been given that Derek places a standard 12-inch ruler next to the goal post and measures the shadow of the ruler and the backboard. If the ruler has a shadow of 10 inches. We are asked t find the height of the backboard, if the backboard has a shadow of 8.5 feet.
We will use proportions to solve our given problem as ratio between sides ruler will be equal to ratio of sides of background.
Therefore, the actual height of the back-board is 10.2 feet.
Answer:
Step-by-step explanation:
Hope that helps!!!
<em>-scsb17hm</em>
I'm confused too and I'm supposed to be an expert. I'm not entirely sure what frequency density is. We'll just treat this as a histogram.
Let's assume each five minute interval gives a value equal to or proportional to the number of people that finished in that interval.
From 0 to 50 we have 10 intervals; let's just make this into a table
0-5 0
5-10 40
10-15 40
15-20 30
20-25 30
25-30 25
30-35 25
35-40 25
40-45 25
45-50 15
From 0 to 40 that adds up to
0+40+40+30+30+25+25+25 = 215
From 0 to 50 that's
215+25+15 = 255
The fraction less than 40 is 215/255 = 43/51 ≈ .843
Answer: 84.3%
Somewhere you're given the equation for height as a function of time:
... h(t) = -16t² + v₀·t . . . . . . where v₀ is the initial vertical velocity in ft/s
For v₀ = 224, this becomes
... h(t) = -16t² + 224t
And this can be rewritten in vertex form as
... h(t) = -16(t² + 14t)
... h(t) = -16(t² + 14t +7²) +16·7² . . . . . complete the square (add the square of half the t coefficient inside parentheses; add the opposite of that amount outside parentheses)
... h(t) = -16(t +7)² + 784
The vertex of this downward-opening parabola is (7, 784), so ...
The rocket reaches its maximum height at 7 seconds.
The maximum height of the rocket is 784 feet.
Answer:
Length of shadow on the ground = 11 ft (Approx)
Step-by-step explanation:
Given:
Height of pole = 15 ft
Angle of elevation of the sun = 53°
Find:
Length of shadow on the ground = ?
Computation:
⇒ Tan A = Height / Base
⇒ Tan A = Height of pole / Length of shadow on the ground
⇒ Tan 53° = Height of pole / Length of shadow on the ground
⇒ Tan 53° = Height of pole / Length of shadow on the ground
⇒ 1.327 = 15 / Length of shadow on the ground
⇒ Length of shadow on the ground = 15 ft / 1.327
⇒ Length of shadow on the ground = 11.3 ft
Length of shadow on the ground = 11 ft (Approx)
