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REY [17]
3 years ago
13

How do the absolute values of -8 1/2 and -9 1/2 compare? Choose a symbol

Mathematics
1 answer:
Cloud [144]3 years ago
4 0

Answer: its <

Step-by-step explanation:

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The cylinders are similar. The volume of the larger cylinder is 9648 cubic inches. What is the volume of the smaller cylinder?
zalisa [80]
Hey there :)

The volume formula of a cylinder is:
V = \pir²h

The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first

9648 = \pir²(18)
\frac{9648}{18} = \pir²
536 = \pir²
\frac{536}{ \pi} = r²
\sqrt{ \frac{536}{ \pi } } = r
r ≈ 13.06

The ratio of the big cylinder to small cylinder is:
18 : 9   (given height)
So the big cylinder is 2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger

\frac{13.06}{2} = r
r ≈ 6.53  ( the radius of the small radius )

V (of small cylinder) = \pi(6.53)²(9)
                                  = 1206 in³
3 0
3 years ago
In the triangle below, determine the measure of side a.
Lorico [155]
Use trigonometry 
sin 42 = a /  21

a = 21 sin 42 =  14.05
7 0
3 years ago
a cylinder and a cone start with the same radius and height the radius of the cone is then trippled and the height of the cone i
Fittoniya [83]

Answer:

Therefore the cone is the greatest relative increase in volume.

Step-by-step explanation:

Cone:

Original cone = (1/3)π(h)r^2

Changed cone = (1/3)π(h/2)(3r)^2

= (1/2)(1/3)π(h)9r^2

= (9/2) * Original cone

=4.5 * Original cone

Cylinder:

Original cylinder = π(h)r^2

Changed cylinder = π(2h)r^2

=2 * Original cylinder

Therefore the cone is the greatest relative increase in volume.

3 0
3 years ago
khanya builders are paid R480 for 8 hours of work,whiles rex builders are paid R660 for 12 hours of work.which company is paid t
kiruha [24]

Answer:

khanya pays higher

Step-by-step explanation:

You have to find the $/hr ratios:

khanya's is 480/8->$60/hr

rex's is 660/12->%55/hr

Khanya pays the higher rate

5 0
3 years ago
If zeina has seven times as many books as ali if zeina gave ali 15 books they would eash have the same number of books how many
kramer

Answer:

<em>Zeina had 35 books and Ali had 5 books</em>

Step-by-step explanation:

<u>Equations</u>

We know Zeina has seven times as many books as Ali. If we call

x = Number of books Ali has

Then Zeina has

7x = Number of books Zeina has

We also know if Zeina gave Ali 15 books, they would have the same number of books, thus:

x + 15 = 7x - 15

Adding 15:

x + 15 +15 = 7x

Subtracting x:

15 +15 = 7x - x

Operating:

30 = 6x

Dividing by 6:

x = 30 / 6

x =5

7x = 35

Thus Zeina had 35 books and Ali had 5 books

8 0
3 years ago
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