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Taya2010 [7]
2 years ago
6

A cylinder has its height doubled and its radius cut to 1/3. What is the ratio of the volumes of the modified cylinder to the or

iginal cylinder
Mathematics
2 answers:
bearhunter [10]2 years ago
7 0
Let height of a cylinder is h and radius be r
volume of cylinder = πr*r*h
if height is doubled then height becomes =2h
radius becomes one third= 1/3 r
volume of cylinder becomes= π*1/3r*1/3r*2h =2/9πr*r*h
ratio of original cylinder to new one = 9/2
STALIN [3.7K]2 years ago
6 0
1 is to 4.5; the original cylinder was 3.14 and the modified cylinder was .698
(I ignored units)
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Alexis has a rectangular piece of red paper that is 4 cm wide its length is twice its width she Glooze a rectangular r Alexis ha
UNO [17]

Are you looking for the area or the perimeter?

Perimeter: 24

Area: 32

Hope this helped!

-TTL

5 0
1 year ago
Read 2 more answers
The base of the isosceles triangle is parallel to x-axis and has both end-points on the parabola y=x(10−x) and its vertex belong
baherus [9]

Answer:

36

Step-by-step explanation:

We must determine the x and y intercepts of the parabola:

When y=0, x=0 or x=10

WE know that the point of the triangle base is x and x+8. We can substitute this into the parabola equation because the endpoints are on the parabola.

f(x+8)=-(x^2+16x+64)+10x+80

f(x+8)=-x^2-6x+16

f(x)=f(x+8)

-x^2+10x=-x^2-6x+16

solve for x

16x=16

x=1

Therefore the heigh is f(1):

=-1^2+10=9

The area of the triangle is 1/2 base x height:

=(1/2)\cdot{8}\cdot{9}=36

6 0
2 years ago
Consider the quadratic function.
goblinko [34]
A standard form for the quadratic function is
f(x) = ax² + bx + c
where the coefficients are a,b, and c.

The given quadratic function is 
f(p) = p² - 8p - 5
When this function is compared to the standard form, with p replacing x, we obtain
a = 1  because the leading term is 1*p²,
b = -8 because the linear term is -8*p,
c = -5 because the constant term is -5.

Answer:
Of the answers given the correct one is the 3rd one:
a = 1, b = -8, c = -5.
4 0
2 years ago
Jenna offers regular haircuts for $25 and haircuts plus coloring for $42.This weekend had a total of 24 clients and Jenna earned
shepuryov [24]
<u><em>Answer:</em></u>
Jenna did 16 regular haircuts
Jenna did 8 haircuts with coloring

<u><em>Explanation:</em></u>
Assume that the number of regular haircuts is x and the number of haircuts plus coloring is y

<u>We are given that:</u>
<u>1- Jenna did a total of 24 clients, this means that:</u>
x + y = 24
This can be rewritten as:
x = 24 - y ...............> equation I

<u>2- regular haircuts cost $25, haircuts plus coloring cost $42 and she earned a total of $736. This means that:</u>
25x + 42y = 736 ..........> equation II

<u>Substitute with equation I in equation II and solve for y as follows:</u>
25x + 42y = 736
25(24-y) + 42y = 736
600 - 25y + 42y = 736
17y = 136
y = 8

<u>Substitute with y in equation I to get x as follows:</u>
x = 24 - y
x = 24 - 8
x = 16

<u>Based on the above:</u>
Jenna did 16 regular haircuts
Jenna did 8 haircuts with coloring

Hope this helps :)
5 0
2 years ago
Colin spends 1/3 of his wages on rent and 1/4 on food. If he makes £636 per week, how much money does he have left?
uysha [10]

Answer:

£265

Step-by-step explanation:

Total fraction of money spent= \frac{1}{3} +\frac{1}{4}

                                                 = \frac{7}{12}

Actual money spent = \frac{7}{12} * £636

                                  = £371

Money he has left = £(636 - 371)

                               = £265

6 0
2 years ago
Read 2 more answers
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