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Pani-rosa [81]
3 years ago
12

A new experimental tank is in the shape of a cone, cylinder and sphere. All of the tanks have a volume of 10,000 cm3 . One condi

tion to this tank is that the Radius should be 10 cm. Follow up the questions below based on this scenario.
Find the height of cylinder . Keep the answer in terms of π

Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

Answer:

100/π cm

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume = 10,000cm³

Radius = 10cm

The formula for the height of a cylinder is obtained as:

V = πr²h

h = V/ πr²

h = 10000 /π × 10²

h = 10000 /π × 100

h = 100/π cm

The height of the cylinder in terms of π = 100/π cm

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The amount of a persons paycheck p varies directly with the numbers of hours worked t. for 25 hours of work, the paycheck is $31
kotegsom [21]

Answer:

p = t * 12.5

Step-by-step explanation:

To find the relationship between hours of work and the pay, I divided the total paycheck given by the 25 hours of work, which got me what a 25th of that paycheck would be, which represents what you would earn in an hour with a flat rate.

312.50 / 25 = 12.5

Check:

12.5 * 25 (hours of work) = 312.50 (Given total paycheck)

That's how we know the pay per hour, which is the relationship between t and p.

7 0
4 years ago
Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)
tia_tia [17]
<h3><u>Explanation</u></h3>
  • First Method

We have the given slope value and the coordinate point that the graph passes through.

y = mx + b

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

y =  -  \frac{3}{4} x + b

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

3 =  -  \frac{3}{4} (4) + b \\

<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>b-term</u>

3 =  - 3 + b \\ 3 + 3 = b \\ 6 = b

The value of b is 6. We substitute the value of b in the equation.

y =  -  \frac{3}{4} x + 6

  • Second Method

We can also use the Point-Slope form to solve the question.

y - y_1 = m(x - x_1)

Given the y1 and x1 = the coordinate point value.

Substitute the slope and coordinate point value in the point slope form.

y - 3 = -  \frac{3}{4} (x - 4)

<u>Simplify</u><u>/</u><u>Convert</u><u> </u><u>into</u><u> </u><u>Slope-intercept</u>

y =  -  \frac{3}{4} (x - 4) + 3 \\ y =  -  \frac{3}{4} x +  \frac{12}{4}  + 3 \\ y =  -  \frac{3}{4} x + 3 + 3 \\y =  -  \frac{3}{4} x + 6

<h3><u>Answer</u></h3>

<u>\large \boxed {y =  -  \frac{3}{4} x + 6}</u>

6 0
3 years ago
David rides his bike 4 miles in 15 minutes. What is his average speed in miles per hour
Sergeu [11.5K]
The answer is .26 miles
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leaks can write a 500-work essay in a hour. if she writes a essay in 10 minutes, how many words will it contain?
gavmur [86]

Answer:

about 83 words

Step-by-step explanation:

60/6=10

500/6 about 83

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What times something equals 26
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6.5 times 4 and 13 times 2
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