<h3>
Answer:</h3>
- 21π(10)^2 – 21π(6)^2
- 2,100π – 756π
<h3>
Step-by-step explanation:</h3>
The volume of metal is the difference of the overall volume of the cylinder and the volume of the hole in it. The formula for the volume of a cylinder is ...
... V = π·r^2·h . . . . . radius r and height h
For the overall dimensions, the radius is half the diameter, so is 10 mm. The hole is said to have a radius of 6 mm. The overall "height" is 21 mm, so the volume in mm³ will be ...
... V_overall -V_hole = π(10)^2(21) -π(6)^2(21)
... = 21π·10^2 -21π·6^2 . . . . . . . matches the first selection
... = 2100π -756π . . . . . . . . . . . matches the third selection
... = 1344π . . . . . . . . . . . . . . . . doesnt' match any selection
Answer:
Sum of the first 70 terms is 12,775
Step-by-step explanation:
For the 9th term, the formula is;
a + 8d = 50
For the 12th
a + 11d = 65
Subtract this from the equation above;
3d = 15
d = 15/3 = 5
To get a, we have a + 8(5) = 50
a = 10
The 70th term
will be
a + 69d
= 10 + 69(5)
= 355
Sum of the first 70
= n/2(a + L)
= 70/2( 10 + 355)
= 35 * 365 = 12,775
Hey there
Answer:
Good luck on your assignment and enjoy your day!
~
:)
<h2>Answer</h2>
<h2>Explanation</h2>
The first thing we need to do is find the slope of our line. To do it we are using the slope formula:
where
is the slope of the line
are the coordinates of the first point on the line
are the coordinates of the second point
From our graph we can get the points (0, 43) and (2, 55), so , , , and . Let's replace the values in our slope formula:
Now that we have our slope, we can use the point-slope formula:
But remember that the equation of a line in standard form is , so we need to subtract and add 43 to both sides of our point slope equation:
We can conclude that the equation in standard form that represent the relationship in the graph is .
Answer:
The area of shaded region is 25.5 units³
Step-by-step explanation:
Step 1 , you have to find the area of rectangle and triangle using the formulas :
Rectangle :
Let length = 5 units,
Let width = 6 units,
Triangle :
Let base = 3 units,
Let height = 3 units,
Step 2 , in order to find the shaded region, you have to substract the area of triangle from the area of rectangle (As the triangle is not shaded) :