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Sergio039 [100]
3 years ago
11

You are choosing 3 of your 8 trophies and arranging them in a row on a shelf.

Mathematics
1 answer:
nydimaria [60]3 years ago
4 0

{_8C_3}\cdot 3!=\dfrac{8!}{3!5!}\cdot 6=\dfrac{6\cdot 7\cdot 8}{6}\cdot6=336

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How many yards has a mile
stiv31 [10]
He's correct 
there is exactly 1760 yards in a mile

3 0
3 years ago
a cone with a radius of 3” has a total area of 24pie square inches. Find the volume of the cone. 12pie, 24 pie or 15 pie
Ratling [72]

Answer:

12\pi (inches)^{2}

Step-by-step explanation:

Given:

radius of cone = 3 inch

Total area of cone = 24\pi (inch)^{2}

Find the volume of the cone?

We know the area of cone = \pi r(r+s) -------(1)

Where r = radius

Ans s = side of the cone

Put the area value in equation 1

24\pi=\pi r(r+s) -------(1)

\frac{24\pi }{\pi r} =r+s

\frac{24}{ r}-r =s

Put r value in above equation.

s =\frac{24}{ 3}-3

s=8-3

s=5

The side s = 5 inches

We know the side of the cone formula

s^{2}=r^{2}+ h^{2}

h^{2}=s^{2}- r^{2}

Put r and s value in above equation.

h^{2}=5^{2}- 3^{2}

r^{2} = 25-9

r^{2} = 16

r = 4

The volume of cone is

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

Put r and h value in above equation.

V = \frac{1}{3} \pi (3)^{2}\times 4

V = 12\pi (inches)^{2}

The Volume of the cone is 12\pi (inches)^{2}

7 0
3 years ago
Find all real and imaginary solutions to the equation x^3-4x^2+x-4=0
lawyer [7]

Step-by-step explanation:

STEP 1

Equation at the end of step 1

(((x3) - 22x2) + x) - 4 = 0

STEP 2

Checking for a perfect cube

2.1 x3-4x2+x-4 is not a perfect cube

<h3>Ans; x=4</h3>
5 0
3 years ago
A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
ddd [48]

Answer:

Difference in cash and plan = $155 - $149.50 = $5.50

Interest Rate = 3.68%

Step-by-step explanation:

Given:A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months

A food processor by cash = $149.50

Payment plan =  Down payment + $10*15 months

= $5 + $10*15

= $5 + $150

Payment plan = $155

Difference in cash and plan = $155 - $149.50 = $5.50

Now we have to find the interest rate

= (difference/original)*100

= (5.50/149.50)*100

Interest Rate = 3.68%

6 0
3 years ago
Piano lessons cost $30 per lesson. Choose the graph that represents the total cost for x number of lessons. ty 150 1501 ofy y 디
Angelina_Jolie [31]

Since we are asked for tge graph that represent the total cost for the x numbers of lesson, it will be helpful to illustrate it first this way

for each lesson it will cost $30 dollars

1 lesson $30

2 lessons $60

3 lessons $90

4 lessons $120

5 lessons $150

So from this set of numbers , it is apparent that the grqph in letter c represents the total costs for x numbers of lessonsseethati

3 0
1 year ago
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