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Karo-lina-s [1.5K]
3 years ago
5

PLEASE HELP ASAP!!!!!!!!!!! For similar triangles, the side lengths are proportional. So, you can write a proportion relating th

e two pairs of vertical and horizontal side lengths. For the line y = 2x, a triangle can be drawn 2 units up and 1 unit right from the origin. Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

Answer:

\frac{y}{2}=\frac{x}{1}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding vertical sides are y and 2

The corresponding horizontal lines are x and 1

so

The proportion is equal to

\frac{y}{2}=\frac{x}{1}

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The equation of a circle is x2 +y2 =81 what is the diameter of the circle
Assoli18 [71]

Answer:

pretty sure it's 9.

Step-by-step explanation:

square root of 81 is 9. 3 is its radius.

4 0
3 years ago
What is the volume of a cylinder with a diameter of 12 in. and a height of 7 in.?
Stels [109]

Answer

Find out the  volume of a cylinder .

To prove

Formula

Volume\ of\ cylinder = \pi r^{2}h

Where r is the radius and h is the height.

As given

Diameter of 12 in. and a height of 7 in.

Radius = \frac{Diameter}{2}

Radius = \frac{12}{2}

Radius = 6 in

\pi = 3.14

put all the values in the formula

Volume\ of\ cylinder = 3.14\times 6\times 6\times 7

                                          = 791.28 in³

Therefore the volume of the cylinder is 791 .28 in³ .

3 0
3 years ago
Does anyone know this?
Step2247 [10]

Answer:

I think the answer is A but I am not for sure

Step-by-step explanation:

7 0
3 years ago
A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate
Katyanochek1 [597]

Answer:

Therefore the rate change of height is  \frac{1}{\pi} m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

\frac{dV}{dt}=4 \ m^3/s

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

The height of the cylinder be h(say).

The volume of a cylinder is V=\pi r^2 h

                                                 =( \pi \times 2^2\times h)\ m^3

\therefore V= 4\pi h

Differentiating with respect to t.

\frac{dV}{dt}=4\pi \frac{dh}{dt}

Putting the value \frac{dV}{dt}

\Rightarrow 4\pi \frac{dh}{dt}=4

\Rightarrow \frac{dh}{dt}=\frac{4}{4\pi}

\Rightarrow \frac{dh}{dt}=\frac{1}{\pi}

The rate change of height does not depend on the height.

Therefore the rate change of height is  \frac{1}{\pi} m/s.

4 0
3 years ago
What is 12x3-9x2 - 4x + 3 in factored form?
masya89 [10]

Answer:

(4X-3)(3X^2-1)

Step-by-step explanation:

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6 0
3 years ago
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