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3 years ago

HEEEEEEEEELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

EleoNora [17]3 years ago

8 0

Answer:

Look at the image.

Step-by-step explanation:

(36 ÷ 4) - (36 ÷ 9)

9 - 4

(8 × 3) - 12 = 12

24 - 12

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Freee pointsssssssssss

Ugo [173]

Thanks for the free points! Have a fantastic day!

4 0

4 years ago

Read 2 more answers

Which of the following represents the polar equation r = (cot 2θ)(csc θ) as a rectangular equation?

STALIN [3.7K]

The option that depicts the polar equation r = (cot 2θ)(csc θ) as an equation that is rectangular is: y² = 2x.

<h3>What is a polar equation?</h3>

A polar expression is any equation that describes the correlation between r and θ, where r signifies the anticlockwise angle formed by a point on a curve, the pole, and the positive x-axis, and means the breadth between the origin and a location on a curve.

<h3>What is the solution to the equation above?</h3>

Step 1 - expand the polar equation

r = 2cosθ * cscθ

Step 2 - convert csc and cos to their equivalents in tan and sin

r = 2 * (1/tanθ) * (1/sinθ) * sinθ

r = 2 * (1/tanθ) * sinθ/sinθ

r = 2 * 1/tanθ

r = 2/tanθ, making 2 the subject of the formula, we have

rtanθ = 2

Note that rectangular coordinates of a point will be depicted as (x,y) and it's plolar coordinate will be (r, θ).

This mean

x = r cos θ; and

y = r sinθ

From the above, we can state that:

Since y = r sinθ
⇒ tanθ = y/x

⇒ (rsinθ/y) * tanθ = 2

Thus y * (y/x) = 2

Therefore,

y²/x = 2

y² = 2x

Learn more about polar equation at:

brainly.com/question/9363127
#SPJ1

5 0

2 years ago

The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder

Dovator [93]

Answer:

The volume of the cylinder with given height and radius is 150.72 centimeters³ .

Step-by-step explanation:

Given as :

the height of cylinder = H = 12 centimeters

The diameter of cylinder = D = 4 centimeters

So The radius of cylinder = R = $\dfrac{\textrm Diameter}{2}$

Or, R = $\frac{4}{2}$

I.e R = 2 cm

The volume of cylinder is given as V = $\pi$ ×R²×H

where R is the radius and H is the height

So, V = 3.14×(2)²×12

Or, V = 3.14×48

∴ V = 150.72 centimeters³

So, The volume is 150.72 centimeters³

Hence The volume of the cylinder with given height and radius is 150.72 centimeters³ . Answer

8 0

3 years ago

A piece of string is 112 inches long. Isabel wants to cut it into 2 pieces so that one piece is three times as long as the other

lukranit [14]

Answer:28inches & 84inches

First, lets write an equation that fits the data given. The string is 112 inches long. When the two pieces are cut, the first piece will be three times as long as the second piece. If we use the variable, x, to represent the second piece, we can create the following equation...

112=3x+x

Now lets solve for x.

112=4x
divide both sides by 4
28 inches=x

Now we know that the second piece is 28inches long. Since the first piece is three times as long, simply multiply 28*3 and we'll know the length of the first piece.

28*3=84 inches
28+84=112

4 0

4 years ago

If the average volume flow of blood through the aorta is 8.5 × 10-5 m 3/s and the cross-sectional area of the aorta is 3.0 × 10

valkas [14]

The average speed of blood in the aorta is 0.2833 m/s

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

From the question, to calculate the average speed:

Average speed = Volume rate / cross sectional area

Average speed = 8.5 * 10⁻⁵ / (3 * 10⁻⁴) = 0.2833 m/s

The average speed of blood in the aorta is 0.2833 m/s

Find out more on average speed at: brainly.com/question/680492

4 0

2 years ago