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3 years ago

Please help!! Pythagorean theorem worksheet

Mathematics

1 answer:

Reil [10]3 years ago

4 0

Answer:

1. The law states that

a^2 =b^2 +c^2

a^2 = 6^2+3^2

a^2= 36+9

a^2= 45

✅ a^2 = ✅ 45

a =✅ 45

a= 6.7082039324993

To 9 decimal place

a = 6.708203932

Follow and like if you want the answer for questions 2 and 3

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8th grade math . Pythagorran practice <br>

Serhud [2]

The answers according to rows are:

ROW 1 : diameter of base = 10, base area = 25π, volume of cylinder = 175π volume of cone = $\frac{175}{3}$ π

ROW 2 : base radius = 3, base area = 9π, height = 40/3, volume of cylinder = 120π
ROW 3 : base radius = 6, base diameter = 12, height = 4, volume of cylinder = 144π

<h3>What is mensuration?</h3>

Mensuration is an aspect of geometry that deals with measurement of volumes and area.

Analysis:

Row 1

Diameter of base = 2 x radius = 2 x 5 = 10

Base area = π $r^{2}$ = π $(5)^{2}$ = 25 $\pi$

Volume of cylinder = base area x height = 25π x 7 = 175π

Volume of cone = 1/3 x volume of cylinder = 175π/3

Row 2

Base radius = base diameter/2 = 6/2 = 3

Base area = π $r^{2}$ = π $(3)^{2}$ = 9π

Volume of cone = 1/3 x base area x height

base area x height = 3 x volume of cone

base area x height = 3 x 40π

Height = 120π/9π = 40/3

Cylinder volume = 3 x cone volume = 3 x 40π = 120π

Row 3

Base area = π $r^{2}$

36π = π $r^{2}$

r2 = $\sqrt{36}$

r = 6

Base diameter = 2 x 6 = 12

Volume of cone = 1/3 x base area x height

48π = 1/3 x 36π x height

Height = 4

Cylinder volume = 3 x 48 = 144π

In conclusion,

ROW 1 : diameter of base = 10, base area = 25π, volume of cylinder = 175π

volume of cone = $\frac{175}{3}$ π

ROW 2 : base radius = 3, base area = 9π, height = 40/3, volume of cylinder = 120π

ROW 3 : base radius = 6, base diameter = 12, height = 4, volume of cylinder = 144π

Learn more about mensuration: brainly.com/question/18541562

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4 0

2 years ago

a cleaning company charges a flat fee of $8 and $30 per hour to clean a home. write an equation that can represent the situation

Andru [333]

In order to reach the total cost of $128, you need to find the number of hours the company cleaned. The equation to do so would be

30x+ 8 = 128

If you subtract 8 from both sides and then divide by 30 you'll find that x=4.

7 0

3 years ago

Mai says that the equation 2x+2=x+1 has no solutions because the left side is double the right side. Do you agree with mai provi

attashe74 [19]

Answer: No, Mai needs to solve the problem.

Step-by-step explanation:

2x+2=x+1 - subtract 2 from both sides

2x=x-1 - subtract x from both sides

x= -1 - solution

6 0

3 years ago

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Rosa is converting a unit of measure in one system to a unit of measure in another system (1, 760yd)/(1mj) * (0.914m)/(1yd) * (1

Murljashka [212]

Answer:

The statement about Rosa's calculations that is true is (0.914m)/(1yd).

Step-by-step explanation:

The ratio of meter (m) to yard (yd) is 0.914 : 1.

Therefore, the conversion factor is 0.914 m/1 yd

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3 years ago

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It is known that a certain function is an inverse proportion. Find the formula for this function if it is known that the functio

katrin2010 [14]

Answer:

$y=\frac{24}{x}$

Step-by-step explanation:

We have been given that a certain function is an inverse proportion. We are asked to find the formula for the function if it is known that the function is equal to 12 when the independent variable is equal to 2.

We know that two inversely proportional quantities are in form $y=\frac{k}{x}$ , where y is inversely proportional to x and k is constant of variation.