Sinα=h/L where h=height, L=string length...
h=Lsinα so
h(25°)=50sin25≈21.1ft
h(45°)=50sin45≈35.4ft
Steps:
let “x” be number of hrs
let “y” be total cost
Abe:
50x + 75 = y
Plumbing Service:
65x=y
Since both equations are equal to y, you can set them equal to each other.
65x = 50x + 75
isolate for x:
65x - 50x = 75
15x = 75
x = 5
therefore it will take 5 hours for each to cost the same. you should call Abe for any task more than 5 hours because it will be cheaper and you should call the Plumbing Service for any task less than 5 hours because it will be cheaper.
Answer:
The answer is C) y - 2 = -5/7(x - 6)
Step-by-step explanation:
Since we have the slope (-5/7) and a point (6, 2), we can just input those in for m and (x1, y1) in point-slope form.
y - y1 = m(x - x1)
y - 2 = -5/7(x - 6)
Answer:
7.1 weeks to 68.4 weeks
Step-by-step explanation:
Chebyshev's Theorem states that:
75% of the measures are within 2 standard deviations of the mean.
89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 38.1
Standard deviation = 10.1
Between what two search times does Chebyshev's Theorem guarantee that we will find at least 89% of the graduates
Between 3 standard deviations of the mean.
So from 38.1 - 3*10.1 = 7.8 weeks to 38.1 + 3*10.1 = 68.4 weeks
Answer: The greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
Step-by-step explanation:
Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.
To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4
The number of pieces of chicken in each plate = 
The number of pieces of rolls in each plate = 
So, the greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.