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elena-s [515]
3 years ago
15

PLEASE HELPPPP

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer:

1774.67π mm³

Step-by-step explanation:

Please find attached to this question, the required diagram.

From the question, we are told we have a spherical mold.

We would find the volume of a spherical mold using the formula for the volume of a sphere.

The volume of a sphere is calculated as : 4/3πr³

From the attached diagram, we are given the Diameter do the spherical mold as: 22mm

Radius of the spherical mold = Diameter ÷ 2 = 22mm÷ 2 = 11mm

The volume of the spherical mold = 4/3 × π × 11³

= 1774.6666667π mm³

Approximately and leaving it in terms of pi (π)= 1774.67π mm³

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The scale of a certain map is 4/5 inch = 16 miles. A square park is represneted on the map by a square with side length 5/8 inch
lions [1.4K]

Answer:

The area of this park is 130.60 square miles.

Step-by-step explanation:

Given : The scale of a certain map is \frac{4}{5} inch = 16 miles. A square park is represented on the map by a square with side length \frac{5}{8} inch.

To find : What is the actual area of this park?

Solution :

The scale of a certain map is \frac{4}{5} inch = 16 miles.

Let the side length of \frac{5}{8} inch = x miles.

So, \dfrac{\frac{4}{5}}{\frac{5}{8}}=\dfrac{16}{x}

\dfrac{4\times 8}{5\times5}=\dfrac{16}{x}

\dfrac{32}{25}=\dfrac{16}{x}

x=\dfrac{16\times 25}{35}

x=11.428

The side length of a square is 11.428 miles.

The area of the square is A=s^2.

A=(11.42)^2

A=130.599\ miles^2

To nearest hundredth,

The area of this park is 130.60 square miles.

8 0
3 years ago
URGENT!!!!!!!!!!!!!!!!
Kruka [31]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
Test each statement below to see if it is reversible. If so, write it as a true biconditional. If not, write not reversible
FinnZ [79.3K]
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3 0
3 years ago
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Peter purchased 14 new baseball cards for his collection. This increased the size of his collection by 35%. How many baseball ca
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Answer:

<em>Peter now has 54 baseball cards</em>

Step-by-step explanation:

<u>Percentages</u>

Assume Peter had x baseball cards in his collection. The 35% of his initial collection is

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We know that those 14 new baseball cards represent a 35% of his previous collection, therefore we can set a simple equation

0.35x=14

When we solve for x, we'll know how many baseball cards Peter had before

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8 0
3 years ago
Consider the equation below.
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Answer:

The equation has no solutions .

Step-by-step explanation:

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<u>The linear equation is </u>

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Or, \dfrac{3}{4} ×24 - \dfrac{3}{4} × 16 x =  \dfrac{-2}{3} × 18 x -  \dfrac{-2}{3} × 27

Or,  \dfrac{3}{4} ×24 - \dfrac{3}{4} × 16 x =  \dfrac{-2}{3} × 18 x + \dfrac{2}{3} × 27

Or, \frac{3\times 24}{4} -  \frac{3\times 16 x}{4} =  \frac{-2\times 18 x}{3} + \frac{2\times 27 x}{3}

Or, 3 × 6 - 3 × 4 x = - 2 × 6 x + 2 × 9

Or, 18 - 12 x = - 12 x + 18

Or, 18 - 18 = - 12 x + 12 x

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∵ The linear equation has no variables , so the equation has no solution

Hence,The equation has no solutions . Answer

8 0
2 years ago
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