Answer:
Height of the kite = 86.60 meter (Approx)
Step-by-step explanation:
The angle of elevation to see a kite from a stone lying to the ground is 60 degrees. If a thread is tied with a kite and a stone, then that thread is 100 meters long, find the height of the kite.
Given:
Length of thread = 100 meter
Angle of elevation = 60°
Find:
Height of the kite.
Computation:
Using trigonometry application:
Height of the kite / Length of thread = Sin 60°
Height of the kite / 100 = √3 / 2
Height of the kite = [√3 / 2]100
Height of the kite = 50√3
Height of the kite = 86.60 meter (Approx)
Answer:
60%
Step-by-step explanation:
Answer:
0.0003
Step-by-step explanation:
Mean=μ=8.21
Standard deviation=σ=2.14
We have to find P(3 randomly monitored call completed in 4 min or less).
P(Xbar≤4)=?
μxbar=μ=8.21
σxbar=σ/√n=2.14/√3=1.2355
Z-score associated with xbar=4
Z=[Xbar-μxbar]/σxbar
Z=[4-8.21]/1.2355
Z=-4.21/1.2355
Z=-3.4075
P(Xbar≤4)=P(Z≤-3.41)
P(Xbar≤4)=P(-∞<Z<0)-P(0<Z<-3.41)
P(Xbar≤4)=0.5-0.4997
P(Xbar≤4)=0.0003
Thus, the probability that three randomly monitored calls will each be completed in 4 minutes or less is 0.0003.
Answer:
18 ft/ 20 min = 0.90 ft/min is the greatest speed.
Step-by-step explanation:
You must find the unit rate of change for all four items: A through D. This will require some conversion of units of measurement. Next you must determine which of your four results is the greatest / fastest.
A. 18 ft / 20 min = 9/10 ft/min, or 0.90 ft/min
B. 90 ft / 2.5 hr = 90 ft / 150 min = 6/10 ft/min, or 0.6 ft/min
C. 20 yd / 1.5 hr = 60 ft / 90 min = 6.7/10 ft/ min, or 0.67 ft/min
D. 3 2/3 yd / 15 min = (11/3)(3 ft) / 15 min = 7.3/10 ft /min, or 0.73 ft/min
Arranged in increasing size, we have:
6/10 ft/min, 6.7/10 ft/min, 7.3/10 ft/min and 9/10 ft/min.
The first answer choice, 9/10 ft/min, is the greatest speed.
Answer:
Hey! The answer is 72 and 73
Step-by-step explanation:
Take 145, take away 1$ then divide by 2 considering there are 2 skateboards, then that leaves you with 2 72's or 72 and 72 then add the one back leaving you with 72 and 73
Hope this helped!