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4vir4ik [10]
3 years ago
9

Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 8?

Mathematics
1 answer:
Andreyy893 years ago
4 0
Answer see attachment:

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John paid $222 for four hours of skiing and two hours boating. He paid $213 for two hours skiing and three hours boating. What i
Inga [223]

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

<em><u>"John paid $222 for four hours of skiing and two hours boating":</u></em>

4x+2y=222

<em><u>"He paid $213 for two hours skiing and three hours boating":</u></em>

2x+3y=213

<em>Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y</em>. Work shown below.

2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51

Hence, y = 51

<em>Now, substituting this y value into the 1st equation and solving for x will give us the value of x.</em>

First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30

Hence, skiing costs $30 per hour and boating costs $51 per hour.

4 0
3 years ago
A man and his three children spent $40 to attend a show. A second family of three children and their two parents spent $53 for t
wariber [46]
The cost for the children tickets is $9
5 0
2 years ago
What is 6/5 x 25/24 = ?
Margaret [11]
The answer is 5/4 or 1 and 1/4 (both answers are correct just different forms), hope this helps !
5 0
2 years ago
Read 2 more answers
Please do answer: <br><br>Simplify the expression---5x-2y + 3x + 2y<br><br>(100 points)
netineya [11]
  • 5x-2y+3x+2y

Combine like terms

  • 5x+3x-2y+2y
  • (5+3)x+(-2+2)y
  • 8x+0
  • 8x
8 0
2 years ago
Read 2 more answers
You have been asked to find the inverse of f (x) = 3+Vx - 1. What would your
Paha777 [63]

Answer:

Add 1 to both sides of the equation.

Subtract 3 from both sides of the equation.

Step-by-step explanation:

The inverse of a function refers to that function that tends to undo another function.

If we intend to find the inverse of the function, f(x) = 3+ V2 - 1, we have to first add 1 to both sides of the equation and subsequently subtract 3 from both sides of the equation before taking the square root of both sides to obtain the inverse function.

Step-by-step explanation:

I hope this helps you :)

<em><u>-KeairaDickson</u></em>

8 0
3 years ago
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