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2 years ago

Does circumference divided by ratio equal to pi?

Mathematics

2 answers:

Harlamova29_29 [7]2 years ago

7 0

Answer:

Yes circumference divided by ratio equals to pi

Nostrana [21]2 years ago

4 0

Answer:

Step-by-step explanation:

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Emmanuel carves a cone-shaped hollow out of a solid clay cylinder. What is the approximate volume of the solid portion of the cy

bixtya [17]

Answer:

$3.14r^2(h-\frac{1}{3}h_1)$

Step-by-step explanation:

Let h be the cylinders height and r the radius.

-The volume of a cylinder is calculated as:

$V=\pi r^2h$

-Since the cone is within the cylinder, it has the same radius as the cylinder.

-Let $h_1$ be the height of the cone.

-The area of a cone is calculated as;

$V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi r^2h_1$

The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

$V=V_{cy}-V_{co}\\\\=\pi r^2h-\frac{1}{3}\pi r^2 h_1, \pi=3.14\\\\=3.14r^2(h-\frac{1}{3}h_1)$

Hence, the approximate area of the solid portion is $3.14r^2(h-\frac{1}{3}h_1)$

5 0

2 years ago

crystal is picking blueberries.so far,she has filled 2/3 of her basket,and the blueberries weigh 3/4pound .the equation 2/3w=3/4

vesna_86 [32]

In order to do this, we multiply both sides be the amount that would make the left side equal to 1. This number is the reciprocal of the fraction, so we multiply both sides by 3/2. This is equal to:

w = 9/8

So, the blueberries in crystal's basket will weigh 9/8 pounds when it is full.

7 0

2 years ago

Suppose you are the manager of a firm. The accounting department has provided cost estimates, and the sales department sales e

Katarina [22]

Answer:

<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>

Step-by-step explanation:

Cost, Revenue, and Profit Function

The cost function C(x) is given by

$C(x)=75x+3,350$

where x is the number of produced products.

The revenue function is

$R(x)=100x$

With both equations, we can know the profit function as

$P(x)=R(x)-C(x)$

$P(x)=100x-75x-3,350=25x-3,350$

$P(x)=25x-3,350$

For the firm to have positive profits, it has to produce x articles with the condition

$P(x)>0$

Or, equivalently

$P(x)=25x-3,350>0$

Solving for x

$\displaystyle x>\frac{3,350}{25}$

Thus

$x>134$

This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production

6 0

2 years ago

Yaro buys a baseball cap for $9.50. He also buys a new baseball. Yaro speads $13.50 altogether.

VMariaS [17]

Answer:

13.5 = 9.5 + x

x=4

Step-by-step explanation:

In this problem, the price of the baseball cap, which is $9.50, and a baseball, whose price is unknown (and therefore must be the variable), total $13.50. So, to set up the equation add the two prices and set them equal to the total, 9.5+x=13.5.

Then, using the subtraction property of equality subtract 9.5 from both sides. This means x=4, so the baseball cost 4 dollars.

4 0

2 years ago

Write in figures;Nine million twenty thousand four hundred and six and twenty seven thousandths.

Rzqust [24]

Answer:

9,020,406.27

Step-by-step explanation:

6 0

2 years ago

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Does circumference divided by ratio equal to pi?​

Does circumference divided by ratio equal to pi?