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saveliy_v [14]
3 years ago
5

A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a lar

ger cone. The small cone has a base radius of 3 inches and a height of 5 inches. The larger cone has a base radius of 9 inches and had a height of 15 inches prior to being cut. What is the volume
Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

Answer:

The answer is 390 × pi.

Step-by-step explanation:

Big cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 9^2 x 15

= 1272.3 cubic inches

Small cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 3^2 x 5

= 47.1 cubic inches  

1272.3 - 47.1 = 1225.2 cubic inches

1272/3.14 ≈ 390

The answer is 390 × pi.

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Delicious77 [7]

When adding two together multiply:

log2 6 + log2 2 = log2(6*2) = log2 12

When you subtract 2 logs, divide:

So you have log2 12 / log2 8

Rewrite as log2 12/8

Simplify to get log2 3/2

The answer is C.

4 0
4 years ago
Read 2 more answers
When randomly selecting an​ adult, A denotes the event of selecting someone with blue eyes. What do Upper P (Upper A )P(A) and U
bezimeni [28]

Answer:

P(A): It is the probability of selecting someone with blue eyes.  

P(\bar{A}): It is the probability of selecting someone who does not have blue eyes

Step-by-step explanation:

We are given the following in the question:

A: event of selecting someone with blue eyes.

Probability:

  • The probability of an event tells the chances of happening of that event.
  • It is mathematically defined as:

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

Complement of an event:

  • It is the event that consist of all outcomes not happening in A.
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  • P(A) + P(\bar{A}) = 1

We have to explain the representation:

a) P(A): It is the probability of selecting someone with blue eyes.

It gives us the chances of someone having blue eyes.

b) P(\bar{A}): It is the probability of selecting someone who does not have blue eyes

It is the chances of selecting someone who does not have blue eyes.

4 0
4 years ago
Myra owns a car service that charges a $5 flat rate and an additional $0.50 per mile.
Lerok [7]

Answer: 5 + 0.5m

Step-by-step explanation:

Let the number of miles be represented by m.

Therefore, since there's a $5 flat rate and an additional $0.50 per mile, this can be formed into a equation as:

= 5 + 0.5m

For example if the number of miles taken is 100miles, the amount charged will be:

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= 5 + 0.5(100)

= 5 + 50

= $55

3 0
3 years ago
***20 points “ if you answer
kykrilka [37]
I believe it is f... i hope i help
4 0
3 years ago
What are the coordinates of the vertex of the table? Is it a minimum or a maximum? X Y 0 1 -1 -2 -2 -3
Margarita [4]
First, We observe that the function is a parabola that grows
 For this case, we must first graph the function to observe the behavior of the same.
 We see that the vertex of the function is located at the point:
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3 years ago
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