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3 years ago

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

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