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blagie [28]
2 years ago
11

What is the exact volume of the cone? base 7in height 4in PLEASE HELP ASAP

Mathematics
1 answer:
torisob [31]2 years ago
8 0
The volume formula of a cone is \frac{1}{3}  \pi  r^{2} h the r is the radius and h is the height.  However, if you multiply by pi, you will get an approximated volume of the cone.  So we will multiply like this for now. \frac{1}{3}  r^{2} h Don't worry, we'll use pi in the end.  

I'm going to assume that 7 inches is your radius.  We need to plug in 7 for r and 4 in for h into the equation. Once we do that, it will look like this. \frac{1}{3}  7^{2} 4

\frac{1}{3} means we will need to divide one by 3.  That gives us 0.33333... now we have to multiply by 7^{2} we get 16.33333...  now the last thing we need to do is multiply by 4, which is h.  We get 65.33333.  Add pi and you have your answer. 65.333333333 \pi
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Maybe by useing cubes like 6 groups of 17 or u can also use a number line like the elementary skills
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2 years ago
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What is the quotient (3x4 – 4x2 + 8x – 1) ÷ (x – 2) brainly
Karolina [17]

To find our quotient we are going to perform long division.

Long division step by step:

Step 1. Write the polynomial (dividend) in descending order (from highest to least exponent). If you encounter a missing term, use zero to fill the space of the term in the descending sequence.

Notice that even tough our polynomial is written in descending form, x^3 is missing, so we are going to use 0x^3 to fill the gap:

3x^4-4x^2+8x-1

3x^4+0x^3-4x^2+8x-1

Step 2. Divide the first term of the polynomial (dividend) by the first term of the divisor.

In our case the first term of the dividend is 3x^4 and the first term of the divisor is x, so \frac{3x^4}{x} =3x^3. Notice that 3x^3 is the first term of the quotient.

Step 3. Multiply the first term of the quotient by the terms of the divisor and subtract them from the respective term of the dividend.

The first term of our quotient (from the previous step) is 3x^3 and the divisor is (x-1), so 3x^3(x-2)=3x^4-6x^3. Now, we are going to subtract them from the respective term (the term with the same power) of the dividend. The respective terms of the dividend are 3x^4 and 0x^3, so 3x^4-3x^4=0 and 0x^3-(-6x^3)=0x^3+6x^3=6x^3

Step 4. Bring down the next term in the dividend and repeat the process for the remaining terms.

After finish the process (check the attached picture), we can conclude that the quotient of 3x^4-4x^2+8x-1 ÷ (x-2) is 3x^3+6x^2+8x+24 with a remainder of 47, or in a different notation: 3x^3+6x^2+8x+24+\frac{47}{x-2}

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2 years ago
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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.

7 0
2 years ago
When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f,
djyliett [7]
12f=m
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5 0
2 years ago
A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft, and it weighs 50 lbs. T
Lady_Fox [76]

Answer:

116 units of the first product

380 units of the second product

Step-by-step explanation:

Product 1 has a unit volume of  10 cu ft

Product 2 has a unit volume of 3 cu ft

The truck has 2300 cu ft of space

Product 1 weighs 50 lbs

Product 2 weighs 40 lbs

The truck can carry 21000 lbs

Let X be the units of product 1

Let Y be the units of product 2

The given information can be expressed as:

10X+3Y=2300...(1)

50X+40Y=21000...(2)

Solving the system of equations:

10X+3Y=2300...(1)

10X=2300-3Y

X=(2300-3Y)/10

Substituting X in (2) we have:

50X+40Y=21000

50[(2300-3Y)/10]+40Y=21000

50[(2300/10)-(3Y/10)]+40Y=21000

50[230-(3Y/10)+40Y=21000

11500-(150Y/10)+40Y=21000

11500-15Y+40Y=21000

11500+25Y=21000

25Y=21000-11500

25Y=9500

Y=380

Substituting Y in (1) we have:

10X+3Y=2300...(1)

10X+3(380)=2300

10X+1140=2300

10X=2300-1140

10X=1160

X=116

So 116 units of the first product and 380 units of the second product can be transported in a single shipment with one truck.

8 0
2 years ago
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