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dimulka [17.4K]
3 years ago
14

A cone-shaped hole is drilled into a solid cube of metal as shown. If the cube has sides of length 9 cm, what is the volume of t

he metal after the hole is drilled? Let π ≈ 3.14 and round your answer to the nearest tenth.
Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0
V (cube)=9³=729 cm³
V (cone)=1/3*π*R²*H= 1/3*π*3²*9=84.8 cm³
V (metal)= 729-84.8=644.2 cm³
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17 in long 1.3 ft wide and 8in high what is the volume
OverLord2011 [107]

Answer:

135.2

Step-by-step explanation:

Volume is LWH and that is 17 * 1.3 * 8=135.2

5 0
3 years ago
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Two friends Vicky and Micky start a business together. They decided to share their capitals depending up on the variable expendi
elixir [45]

Answer:

a- x = 5/3, or x = -7/2

b- 675

c - 5·x + 2

Step-by-step explanation:

The polynomial representing the capital of the two partners = 6·x² + 11·x - 35

a. The total share is the capital of the two partners together = 6·x² + 11·x - 35

∴ When their total share is equal to 0, we have;

6·x² + 11·x - 35 = 0

Factorizing the above equation with a graphing calculator gives;

(3·x - 5)·(2·x + 7)

Therefore;

x = 5/3, or x = -7/2

b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;

When x = 10

6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675

The total expenditure of Vicky and Micky when x = 10 is 675

c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2

7 0
3 years ago
List all the pairs of integers with a product of 36. then find the pair whose sum is 20
RoseWind [281]
This is an excellent practice for the solution of quadratic equations.

1*36=36  => (1,36)
2*18=36  => (2,18)
3*12=36  => (3,12)
4*9=36   => (4,9)
6*6=36   => (6,6)
9*4=36   => (9,4)
12*3=36  => (12,3)
18*2=36  => (18,2)
36*1=36  => (36,1)

We can see that the sum decreases until the two factors are close (or equal) and then increases again.

The pair of integers with a sum of 20 is therefore (2,18) or (18,2).
4 0
3 years ago
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Igoryamba

Answer:

The line given is equal to y=-x+7 (Through rearranging)

To find the new line, we substitute the given coordinates (5,8) in the equation without the given y-intersect (+7):

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c=-3

The line parallel to x+y=7 that passes through the point (5,-8) is y=-x-3

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I hope this helps you

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