Answer:
The GCF of 460 and 756 is 4
Answer:
Volume= 82.4in³
Step-by-step explanation:
Volume is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid. It's units are always "cubic"
To find the volume of sphere, we will use the following formula of Volume:
Volume = 4/3 πr³
Put the values in the formula:
As we know that the value of π is 22/7 or 3.14
Radius = 2.7
According to the formula:
Volume = 4/3 * 3.14 *(2.7)³
Volume= 4/3* 3.14(19.683)
Volume=4/3(61.80462)
Volume=247.21848/3
Volume= 82.4in³....
Answer:
<em>The least number of items to produce is 41</em>
Step-by-step explanation:
<u>Average Cost</u>
Given C(x) as the cost function to produce x items. The average cost is:

The cost function is:

And the average cost function is:

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.
We set the inequality:

Multiplying by x:

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.
Adding 20x:


Swapping sides and changing the sign:

Dividing by 41:

The least number of items to produce is 41
Four sided figure is a quadrilateral
Answer:
Problem 23) 
Problem 24) 
Step-by-step explanation:
step 1
Find the slope of the given line
The formula to calculate the slope between two points is equal to

we have

Substitute the values


step 2
Problem 23
we know that
If two lines are perpendicular then the product of its slopes is equal to minus 1
so

Find the slope of the line
we have

substitute in the equation and solve for m2


with the slope m2 and the point
find the equation of the line
Remember that
The equation of the line in slope intercept form is equal to

we have

-----> the given point is the y-intercept
substitute

step 3
Problem 24
we know that
If two lines are parallel, then its slopes are the same
so
with the slope m1 and the point
find the equation of the line
The equation of the line in slope intercept form is equal to

we have

-----> the given point is the y-intercept
substitute
