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prohojiy [21]
3 years ago
11

A cone with a diameter of 6 centimeters and a height of 8 centimeter is drilled into a wooden cube with sides measuring eight ce

ntimeters, find the volume of the wood that remains?
Mathematics
1 answer:
solong [7]3 years ago
6 0

Volume of cone =3.14×r×r×h

=3.14×3×3×8

=226.1946710585

Volume of wood =L×W×H

=8×8×8

=512

Volume of wood remains=wood-cone

answe =285.8053289415

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A professional baseball diamond is a square. The distance from base to base is 90 ft. To the nearest foot, how far does a catche
mamaluj [8]

BSE is square.

Let side be s

  • s=90ft

Diagonal be d

\\ \tt\longmapsto s=\dfrac{d}{\sqrt{2}}

\\ \tt\longmapsto d=s\sqrt{2}

\\ \tt\longmapsto d=90\sqrt{2}

\\ \tt\longmapsto d=127ft

3 0
2 years ago
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Hannah's mom gave her a bag of chips she gives 6 chips to each other 10 friends she has 12 pieces left for herself how many kids
shutvik [7]

Answer:

72 chips

Step-by-step explanation:

6×10=60

60+12=72

7 0
3 years ago
The mall is 4.72 kilometers from Julie’s house and 1.83 kilometers from Taylor’s house. How much farther does Julie live from th
blondinia [14]
Julies lives 2.89 kilometers more from the mall than Taylor. 
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4 years ago
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Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to b
ZanzabumX [31]

Complete question :

Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to bowl at Bowling Pinz. For each equation, let x represent the number of games played and let y represent the total cost.

Bowl-O-Rama rents shoes for $2 and each game cost $2.50

Bowling Pinz rents shoes for $4 and each game cost $2

Answer:

Bowl-O-Rama:

y = $2 + $2.50x

Bowling pinz:

y = $4 + $2x

Step-by-step explanation:

The total cost is the sum of shoe rental plus the product of the unit game rate and the number of games played.

Total cost, y

x = number of games played

Bowl-O-Rama:

y = Shoe rent + (unit rate per game * number of games)

y = $2 + ($2.50 * x)

y = $2 + $2.50x

Bowling Pinz :

y = Shoe rent + (unit rate per game * number of games)

y = $4 + ($2 * x)

y = $4 + $2x

3 0
3 years ago
For the funtion f(x)= (x+7)^5, Find f^-1 (x)
quester [9]

Answer:

The inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

Step-by-step explanation:

For the function f(x)= (x+7)^5, Find f^{-1} (x)

For finding inverse of x,

First let:

y=(x+7)^5

Now replace x with y and y with x

x=(y+7)^5

Now, solve for y

Taking 5th square root on both sides

\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7

Now, replace y with f^{-1} (x)

f^{-1} (x)=\sqrt[5]{x}+7

So, the inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

6 0
3 years ago
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