Answer:
volume = Pi(2x^2+3x-5) x (2x+5)^2 or P1(8x^4+52x^3+100x^2-125)
Step-by-step explanation:
radius = (4x+10)/2 = 2x+5
volume = Pi(2x^2+3x-5) x (2x+5)^2
volume = Pi(2x^2+3x-5) x (4x^2+20x+25)
volume = P1(8x^4+52x^3+100x^2-125)
Answer:
Height of the pyramid = 3v/y² units
Step-by-step explanation:
We are given;
- The volume of a solid right pyramid with a square base = v units³
- The length of the base edge = y units
The formula for volume of a pyramid is given as;
V = ⅓ x base area x height.
Since the base is square, we will use the formula for square area which is A = side × side.
Thus, v = ⅓ × (y × y) × height
Making height the subject, we have;
Height = 3v/y²
height of the pyramid would be given by the expression 3v/y² units
The least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.
<h3>What is inequality?</h3>
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
A clothing manufacturer produces one type of sweater that earns $4 profit for each one sold.
Let x be the number of sweaters that must be produced each hour to earn a profit of at least $100
Total selling price if earns $4 profit for each one sold = 4x
The expenses for running the machine are $45 per hour.
4x - 45 ≤ 100
4x ≤ 145
x ≤ 145/4
x ≤ 36.25
Number of sweater(estimate value) = 37
Thus, the least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ1
Answer:
3
Step-by-step explanation:
The slope of a line can be found by dividing the amount that the line "rises" over a certain amount of "run". In this case, the line rises 6 units while moving 2 units to the right. 6/2=3, meaning that the slope of this line is 3. Hope this helps!
Answer:
A'(0,0) and B'(0,7.5) and C'(12.5,7.5) and D'(12.5,0)
Step-by-step explanation:
<u><em>Find the coordinates of the point after dilation</em></u>
A'(0,0) and B'(0,7.5) and C'(12.5,7.5) and D'(12.5,0)
<em>I hope this helps you</em>
<em>:)</em>
