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3 years ago

What is the answer to this ? need help on this homework

Mathematics

2 answers:

Stolb23 [73]3 years ago

7 0

Answer:

18 units

Step-by-step explanation:

You have that V = 1/3 * pi * r^2 * h and V = 150 * pi and r = 5, so you substitute those second two values into the first equation.

150pi = 1/3 * pi * 5^2 * h

simplifying the left side,

150pi = 25/3 * pi * h

divide both sides by pi

150 = 25/3 * h

divide both sides by 25/3

h = 18

enyata [817]3 years ago

5 0

Answer:

v=1/3pie r^2 h

150pie=1/3 pie 5^2 h

450 pie/ pie=25h

h=18

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The school auditorium has 900 seats. The inequality, with x representing adults and y representing children, can be solved to fi

Paha777 [63]

Answer:

Step-by-step explanation:

The ordered pair is located on the boundary line of the graph of the inequality, and because the sign is "less than or equal to", the values on the boundary line are also included in the solution set.

Looking at this logically, we also see that it certainly possible for half the seats to be occupied by adults and half by children.

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3 years ago

A sample of college students was asked how they felt about their weight. Of the 143 women in the sample who responded, 38 women

Monica [59]

Answer:

a. Feelings about weight is the response (dependent) variable. Sex is the explanatory (independent) variable. The feelings about weight depend on the sex

b. Summary of observed counts

Women Men Total

Overweight 38 18 56

Right weight 99 35 134

Underweight 6 25 31

Number 143 78 221

c. Percentage of the 143 women responding in each category:

1. Overweight = 38/143 = 26.6%

2. Right weight = 99/143 = 69.2%

3. Underweight = 6/143 = 4.2%

d. Percentage of the 78 men responding in each category:

1. Overweight = 18/78 = 23.1%

2. Right weight = 35/78 = 44.9%

3. Underweight = 25/78 = 32%

e. Summary of feelings about weight:

Women Men

Overweight 26.6% 23.1%

Right weight 69.2% 44.9%

Underweight 4.2% 32%

Step-by-step explanation:

a) Data:

Sample size = 221

Women Men Total

Overweight 38 18 56

Right weight 99 35 134

Underweight 6 25 31

Number 143 78 221

b) To obtain the percentage of feelings about weight for each category, the number of those who feel overweight, right weight, or underweight is divided by the total number of women or men. The value obtained, which is in decimal form, is then converted to percentage by multiplying with 100.

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3 years ago

Manufacture wants to enlarger it's floor area 1.5 times that of the current facility. The current facility is 260 ft by 140 ft.

Lady bird [3.3K]

Answer:

New dimensions of the floor is approximately 301.25 ft by 181.25 ft

Step-by-step explanation:

The question is incomplete. The complete question should be:

Manufacture wants to enlarger it's floor area 1.5 times that of the current facility. The current facility is 260 ft by 140 ft. The manufacture wants to increase each dimension the same amount. Write the dimensions of the new floor.

Given:

Length of floor = 260 ft

Width of floor = 140 ft

The floor area is increased 1.5 times.

To find the new dimensions of the floor.

Solution:

Original area of the floor = $length\times width= 260\times 140=36400\ ft^2$

New area = $1.5\times Original\ Area = 1.5\times 36,400=54,600\ ft^2$

Let the length and width be increased by $x$ ft.

Thus, new length = $(260+x)\ ft$

New width = $(140+x)\ ft$

Area of the new floor can be given as:

⇒ $new\ length\times new\ width$

⇒ $(260+x)(140+x)$

Multiplying using distribution.

⇒ $x^2+260x+140x+36400$

⇒ $x^2+400x+36400$

Thus we can equate this with new area to get the equation to find $x$

$x^2+400x+36400=54600$

subtracting both sides by 54600.

$x^2+400x+36400-54600=54600-54600$

$x^2+400x+18200=0$

Using quadratic formula:

For a quadratic equation $ax^2+bx+c=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

For the equation $x^2+400x-18200=0$

$x=\frac{-400\pm\sqrt{(400)^2-4(1)(-18200)}}{2(1)}$

$x=\frac{-400\pm\sqrt{232800)}}{2}$

$x=\frac{-400\pm482.49}{2}$

$x=\frac{-400+482.49}{2} \ and\ x= \frac{-400-482.49}{2}$

∴ $x\approx 41.25 \ and\ x\approx-441.25$

Since length is being increased, so we take $x\approx41.25$

New dimensions are:

New length $\approx 260\ ft + 41.25\ ft =301.25\ ft$

New width $\approx 140\ ft + 41.25\ ft =181.25\ ft$

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3 years ago

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spayn [35]

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3 years ago

There are 36 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work? (round to the nearest ten

Liula [17]

Answer:

80.6%

Step-by-step explanation:

29/36 = about 0.8055556 = 80.55556% = about 80.6%

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3 years ago

Read 2 more answers