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Kamila [148]
2 years ago
11

15 POINTS ANSWER ASAP, SHOW WORK

Mathematics
1 answer:
forsale [732]2 years ago
8 0

Answer:

V=97.6\ in^3

Step-by-step explanation:

step 1

Find the volume of the cylinder

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=4/2=2\ in ---> the radius is half the diameter

h=8\ in

substitute

V=\pi (2)^{2}(8)\\\\V=32\pi\ in^3

step 2

Find the volume of the cone

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2} h

we have

we have

r=2\ in ---> the radius is the same that the radius of the cylinder

h=0.70\ in

substitute

V=\frac{1}{3}\pi (2)^{2} (0.70)\\\\V=0.93\pi\ in^3

step 3

Find the volume of the plastic object

we know that

The volume of the plastic object is equal to the volume of the cylinder minus the volume of the cone

so

V=32\pi-0.93\pi=31.07\pi\ in^3

assume

\pi=3.1416

V=31.07(3.1416)=97.6\ in^3

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Shtirlitz [24]
1. Given a group of n people. There are C(n, r) ways of forming groups of r out of n.

2. Where C(n, r)=\frac{n!}{r!(n-r)!}

3. For example, given {Andy, John, Julia}. We want to pick 2 people to give a gift: we can pick {(Andy, John), (Andy, Julia), (John, Julia)}, so there are 3 ways. So we can list and count.

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5. C(8, 6)=\frac{8!}{2!6!}= \frac{8*7*6!}{2*6!}= \frac{8*7}{2}= 4*7=28

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5 0
3 years ago
The fastest that a seahorse can travel is 2640 feet per hour.what is its top speed in miles per hour
miv72 [106K]

Answer:

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4 0
3 years ago
Simplify the expression using long division. (10x2 – 85x – 10) ÷ (x – 8)
Lelechka [254]

Answer: 5 • (2x2 - 17x - 2)

 ———————————————————

        x - 8      

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 

Step  2  :

           10x2 - 85x - 10

Simplify   ———————————————

                x - 8      

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  10x2 - 85x - 10  =   5 • (2x2 - 17x - 2)  

Trying to factor by splitting the middle term

3.2     Factoring  2x2 - 17x - 2  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -17x  its coefficient is  -17 .

The last term, "the constant", is  -2  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -2 = -4  

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   -17 .

     -4    +    1    =    -3  

     -2    +    2    =    0  

     -1    +    4    =    3  

Observation : No two such factors can be found !!  

Conclusion : Trinomial can not be factored

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Answer:

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Step-by-step explanation:

hmmm

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