The rate at which the sand is leaking, is the same rate at which the volume of the cone is increasing, so the rate of the sand leak is then the same as dv/dt of the cone.
now, we know the height is always the same length as the radius, thus h = r.
Answer:
The angles in the diagram add up to 90°
To find x add the two angles and equate them to 90°
That's
8x + 50 = 90
8x = 90-50
8x = 40
Divide both sides by 8
8x/8 = 40/8
x = 5
Hope this helps you
So first you would multiply $6.50 by 4.5 and you get 29.25, so that represents how much she would make in one day! Then multiply 5 days a week by 6 weeks and you get 30 then multiply $29.25 by 30 to get the total!
Answer:
The correct option is 1.
Step-by-step explanation:
The total number of patient is 80 and out of these patients 9 patients had their teeth whitened.
The confidence interval is 95%.
The probability of patient had teeth whitened is
The z-score for 95% confidence interval is 1.96.
The confidence limit is defined as
These values are in percent.
Therefore option 1 is correct.
Slope-intercept form of a line:
y=mx+b
m=slope
other perpendicular line to this line (y=mx+b) will have the next slope:
m´=-1/m
We have this line in slope-intercet form:
y=1/3x-7
m=1/3
A perpendicular line will have the next slope:
m´=-1/m=-1(1/3)=-3
Now, we have a point (5,-2) and the slope (-3).
point-slope form: given a point (x₀,y₀) and the slope m, the point-slope form will be:
y-y₀=m(x-x₀)
In this case:
y-(-2)=-3(x-5)
y+2=-3x+15
y=-3x+15-2
y=-3x+13
Answer: The equation of a line (slope intercept form) that is perpendicular to the line y=1/3x-7 and passes throught the point (5,-2) is:
y=-3x+13