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sergeinik [125]
3 years ago
13

A plastic circular cone with a volume of x cubic centimeters is sliced horizontally into two shapes. If the height and radius of

the smaller cone is half the height and radius of the original cone, which expression represents the volume of the other piece in cubic centimeters?
Mathematics
1 answer:
kirill [66]3 years ago
5 0
For the original cone:
V = pi*h*r^2 = x
The upper half of the cone has half the height and half the radius of the original cone of volume x, so its volume is calculated as:
V = pi*(h/2)*(r/2)^2 = (1/8)*pi*h*r^2 = x/8

Therefore the volume of the other piece (the frustum) is x - (x/8) = 7x/8 cubic centimeters.
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A book sold 39,300 copies in its first month of release. Suppose this represents 6.3% of the number of copies sold to date. How
konstantin123 [22]
Hi there! So 39,300 copies of a book were sold on debut month of release, and that represents 6.3% of all copies sold to date. To find the total amount of copies sold, we can write and solve a proportion. Set it up like this:

39,300/x = 6.3/100

We set it up like this because 39,300 is part of the total amount, and it represents 6.3% of the total book sales. Percents are parts of 100, which is why 6.3 is above 100. Let's cross multiply the values. 39,300 * 100 is 3,930,000. 6.3 * x is 6.3x. that makes 3,930,000 = 6.3x. Divide each side by 6.3 to isolate the x. 6.3x/6.3 cancels out. 3,930,000/6.3 is 623,809.5238 or 623,810 when rounded to the nearest whole number. There. The total amount of copies sold to date is about 623,810.
8 0
3 years ago
Write the product as a trinomial.(k – 1)(k – 4)
SashulF [63]
(k - 1)(k - 4)

Use FOIL to solve this.

First
k * k
Outer
k * -4
Inner
-1 * k
Last
-1 * -4

k^2 - 4k - 1k + 4

k^2 - 5k + 4 is the trinomial.
5 0
3 years ago
PLZ HELP I NEEDD THE ANSWER ASAP
Contact [7]
B=10
the base is 10cm
yeah

7 0
3 years ago
Please show your work, tysm :D<br><br> ~giving brainliest!~
N76 [4]

Answer:

. 0625

Step-by-step explanation:

1/2^4

or

1/16

just doing half life

5 0
2 years ago
A salesperson at a jewelry store earns 4​% commission each week. Last​ week, Heidi sold $680 worth of jewelry. How much did make
Charra [1.4K]

Answer:

$27.2

Step-by-step explanation:

680x0.04=. 27.2

She made $27.2 last week

8 0
3 years ago
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