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3 years ago

A cylinder has a raduis of 12 m and a height of 9 m. What is the exact volume of the cylinder

Mathematics

2 answers:

oee [108]3 years ago

5 0

V = πr²h
V = π×12²×9
V = π×144×9
V = 1296π m³

irina [24]3 years ago

4 0

The exact volume would be 21

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Which of the following is a monomial?

KatRina [158]

The definition of monomial is an algebraic expression consisting of one term.

a. 2xyz² is monomial.

b. 2x - yz is considered a binomial. (2 terms)

c. 2x + yz is considered a binomial. (2 terms)

d. 2 + xyz is also considered a binomial. (2 terms)

so the right answer is A.

hope this helped, God bless!

4 0

3 years ago

A manufacturer of skis produces two types: downhill and cross country. The times required for manufacturing and finishing each s

pogonyaev

Answer:

So to maximize profit 24 downhill and 20 cross country shouldbe produced

Step-by-step explanation:

Let X be the number of downhill skis and Y the number of cross country skis.

Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours

Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.

Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90

total finishing time taken = 0.5x+1.5 y≤42

Profit function

Z = 50x+50y

Objective is to maximize Z

Solving the two equations we get intersecting point is

(x,y) = (24,20)

In the feasible region corner points are (0.28) (36,0)

Profit for these points are

i) 2200 for (24,20)

ii) 1400 for (0,28)

iii) 1800 for (36,0)

So to maximize profit 24 downhill and 20 cross country shouldbe produced.

6 0

3 years ago

2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

2 years ago

Write your answer here (and keep it simple)

morpeh [17]

Step-by-step explanation:

51×14+256+537

714+256+537

1507

8 0

2 years ago

I need the slope intercept for this equation

Bezzdna [24]

Answer:

y= 1/2x+2

Step-by-step explanation:

I hope it's right!

8 0

3 years ago

Read 2 more answers

A cylinder has a raduis of 12 m and a height of 9 m. What is the exact volume of the cylinder​

A cylinder has a raduis of 12 m and a height of 9 m. What is the exact volume of the cylinder