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Dahasolnce [82]
2 years ago
10

A cone has a volume of about 28 cubic inches. Which are possible dimensions for the cone?

Mathematics
1 answer:
3241004551 [841]2 years ago
8 0
The formula for the volume, V of a cone is V = (1/3)*π*(radius)^2 * height.

So, as you see you have two variables, radius and height, which means that there are different combinations of radius and height that lead to the same volume.

That implies that your questions is missing some information.

I searched for it and found that the question has a list of answer choices. This is the list:

a) radius 6 inches, height 3 inches

b) diameter 6 inches, height 3 inches

c) diameter 4 inches, height 6 inches

d) diameter 6 inches, height 6 inches


Now you can probe those options to see which leads to an approximate volume of 28 cubic inches.

a) radius 6 in, height 3 in

=> V = (1/3)*3.14*(6in)^2 * 3in = 113.04 in^3 => not possible


b) diameter 6 in, height 3 inc


diameter 6 in => radius 3 in

=> V = (1/3)*3.14*(3in)^2 * 3in = 28.26 in^3 => this is the answer

The other options lead to values far from 28 in^3.

Answer: diameter 6 inches, height 3 inches.
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The integrals over B and T will be positive. Keeping y fixed, xe^x is strictly increasing over D as x increases, so the integrals over x (i.e. the bottom/top left quadrants of D) is negative but the integrals over x>0 are *more* positive.

The integrals over R and L are zero. If we take f(x,y)=xe^x, then f(x,-y)=f(x,y), which is to say f is symmetric across the x-axis. For the same reason, the integral over all of D is also zero.

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When you are out in the sunshine you feel warm because the _____ energy excites the molecules of your skin and creates heat ther
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Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.
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Answer:

For each additional pound, the price increases $1.50.

Step-by-step explanation:

Lets find the slope of the graph of othe given data.

Let x be the weight of pumpkin in pounds

Let y be the price of the pumpkin in dollars.

For 4 pound pumpkin the price is 6 dollars, so first point is (4,6)

For 8 pound pumpkin the price is 12 dollars, so first point is (8,12)

Find the slope between these points

m = y₂ - y₁ / x₂ - x₁

m = 12 - 6 / 8 -4

m = 6/4

m = 1.5

Which means that for every pound increase in weight, the price of pumpkin increases by 1.5 dollars

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In college basketball, some teams get most of their points from just one player, and other teams are more balanced in scoring. C
lutik1710 [3]

Answer:

(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

(D)The mean number of points per player per game is the same at all 3 schools.

Step-by-step explanation:

<u>Baylor University</u>

6 players who each score 12 points per game

6 players who each score 0 points per game.

The Scores are: 0,0,0,0,0,0,12,12,12,12,12,12

Mean=\frac{0+0+0+0+0+0+12+12+12+12+12+12}{12} \\Mean=6\\Median=\frac{12+0}{2}=6

<u>University of Maryland</u>

1 player scores 58 points per game,

1 player scores 14 points per game,

The rest(10) of the players score 0 points per game.

The Scores are: 0,0,0,0,0,0,0,0,0,0,14,58

Mean=\frac{0+0+0+0+0+0+0+0+0+0+14+58}{12} \\Mean=6\\Median=\frac{0+0}{2}=0

<u> Dartmouth College</u>

4 players score 5 points per game,

4 players score 6 points per game,

4 players score 7 points per game.

The Scores are: 5,5,5,5,6,6,6,6,7,7,7,7

Mean=\frac{5+5+5+5+6+6+6+6+7+7+7+7}{12} \\Mean=6\\Median=\frac{6+6}{2}=6

The following applies:

(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

(D)The mean number of points per player per game is the same at all 3 schools.

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2 years ago
Please help me with this question #8
MA_775_DIABLO [31]
Think of sqrt(2) as a variable.

3x - x = 2x

If x = sqrt(2), then answer is 2sqrt(2)
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