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2 years ago

This is about the cone formula. If you don't know it, please don't answer. If you do, PLEASE ANSWER.

Mathematics

1 answer:

lions [1.4K]2 years ago

6 0

9514 1404 393

Answer:

(b) 10.5 in

Step-by-step explanation:

The formula for the volume of a cone is ...

V = 1/3πr²h . . . . . . for radius r and height h

Then the height is ...

h = 3V/(πr²)

Your cone has a volume V = 199 in³ and radius r = 4.25 in, so the height is ...

h = 3(199 in³)/(π(4.25 in)²) ≈ 10.52 in

The height of the cone is about 10.5 inches.

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Jenna can clean the gutters at her house in four hours. Her older brother, John, can clean the gutters in three hours, if they w

OlgaM077 [116]

Answer:

1 hour and 42.8 minutes

Step-by-step explanation:

To answer this question let's call $t_1$ while it takes Jenna to clean the gutters

Let's call $t_2$ while it takes John to clean the gutters

$t_1 = 4$ h

$t_2 = 3$ h

t = total time

g = job = 1 (clean the gutters)

The speed of each one is:

$V_1 = \frac{1}{4}$ g/ h

$V_2 = \frac{1}{3}$ g/h

$V = V_1 + V_2 = \frac{g}{t} = \frac{1}{t}$

So:

$V = V_1 + V_2 = \frac{1}{4} +\frac{1}{3}$

$\frac{1}{t} = \frac{1}{4} + \frac{1}{3}= \frac{7}{12} g/h$

$t = \frac{12}{7}$ h

Then, both together paint $\frac{7}{12}$ of gutters for each hour.

This means that it takes $\frac{12}{7}$ hours to clean the gutters together

Finally cleaning together takes 1,714 hours or also

1 hour and 42.8 minutes

7 0

3 years ago

Multiple people counted the number of spectators at a high school swim meet. All counts were between 208 and 217, inclusive. Ass

icang [17]

Its 40% because its just the fact ratio you know

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3 years ago

Approximate the percent of values on the box and whisker plot that lie below 68?

lapo4ka [179]

Answer:

Step-by-step explanation:

4 0

3 years ago

The dependent variable, y is 7 more than 1/2 the independent variable, x.

san4es73 [151]

Y=(x/2)+7 as an equation if that is what you are asking

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3 years ago

Given that the expression 2x² -2.9x-3.6 can be factorized into the form 0.1(px+q)(rx+s), where p, q, r and s are integers, find

Nonamiya [84]

$~~2x^2-2.9x-3.6\\\\=\dfrac{20}{10}x^2 - \dfrac{29}{10} x-\dfrac{36}{10} \\\\=\dfrac 1{10} (20x^2 -29x -361)\\\\=0.1(20x^2-29x-36)\\\\=0.1(20x^2-45x+16x-36)\\\\=0.1[5x(4x-9)+4(4x-9)]\\\\=0.1(5x+4)(4x-9)\\\\\text{Where,}~ p=5, ~ q=4,~ r=4~,s=-9\\\\\text{Hence,}~ \\\\p+q+r+s \\\\ = 5+4+4 -9 \\\\=13-9 \\\\ =4$

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2 years ago