Hello :
f'(7) = the slope of the tangent line : let A(7,4) B(0,3)<span>
<span>the slope is : (YB - YA)/(XB -XA)= (3-4)/(0-7) = -1/-7 = 1/7=f'(7)
the equation of the tangent line is :
y-3 = 1/7 (x-0)
y = (1/7)x+3
the line tangent and the graph of : f </span></span><span>passes through the point A(7, 4)
x= 7 y=4 so : f(7) =4</span>
Answer: 135cm
Step-by-step explanation
Volume of a cylinder = πr²h
Volume of a cone. = 1/3πr²h
The two shapes are both solid shapes.
Since the have same volume, we can then equate the two together and solve for the height of the cone.
Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.
Now equating the two
πR²H = 1/3πr²h
Now substitute for the values now
Multiply through by 3
3πR²H = πr²h
But π is common so it could be obliterated from the equation
3R²H = r²h
3 x 12² x 20 = 8² x h
3 x 144 x 20 = 64 x h
60 x 144 = 64h
8640. = 64h
Therefore
h = 8640/64
= 135cm
Answer:
the answer is 5:7
Step-by-step explanation:
as a fraction, the ratio looks like this:
1500/2100
where 1500 is the number of rolls with double prints and 2100 is the amount of rolls developed.
if you simplify the fraction, you get 5/7.
5/7 is 5:7 written as a ratio in this problem.
hope this helped!!
Answer:
5 3/4 IBS
Step-by-step explanation:
Explanation:
The question requires that we round the given number to Ten-thousand
To do so, we will have to write the place values of the numbers first
Next, we find the digits before the Ten-thousand digits and then approximate the value
One of the principles to use is that
numbers from 0 to 4 are rounded to 0
while numbers from 5 to 9 are rounded to 1
In our case, The thousand digit is 0, so we round down to 0, then we add to the Ten-thousand digits and convert each of the numbers before the Ten-thousand digits to 0
Thus, we will have
Hence, the answer is 1,370,000
