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2 years ago

Find the length of the hypotenuse

Mathematics

1 answer:

Darina [25.2K]2 years ago

3 0

Answer:

The Hypotenuse is side just opposite to the right angle.

Step-by-step explanation:

By Pythagoras' theorem,

c^2=a^2+b^2

c^2(hypotenuse to be found)= 30^2+ 16^2

c^2=1156

Therefore, c ( i.e. the hypotenuse) will be the square root of 1156.

The square root of 1156 is 34.

<h2>Thus, c ( hypotenuse) = 34</h2>

Hope it helped :)

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Solve for c. a(c−b)=d

tatiyna

Answer:

c= ab + d/ a

Step-by-step explanation:

Let's solve for c.

a(c-b)=d

Step 1: Add ab to both sides.

-ab + ac + ab = d+ ab

ac = ab + d

Step 2: Divide both sides by a.

ac / a = ab + d / a

c = ab + d/ a

Answer:

c= ab + d/ a

Hope this helps ☝️☝☝

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3 years ago

How to find equation of line passing through the points (x,y)

DochEvi [55]

First you must acknowledge that you are dealing with a line therefore you must write linear equation or linear function in this case.

Linear function has a form of,

$y=mx+n$

Then calculate the slope m using the coordinates of two points. Let say A(x1, y1) and B(x2, y2),

$m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}$

Now pick a point either A or B and insert coordinates of either one of them in the linear equation also insert the slope you just calculated, I will pick point A.

$y_1=mx_1+n$

From here you solve the equation for n,

$y_1=mx_1+n\Longrightarrow n=y_1-mx_1$

So you have slope m and variable n therefore you can write down the equation of the line,

$f(x)=m_{slope}x+n_{variable}$

Hope this helps.

r3t40

3 0

2 years ago

Dali rolled up his painting and placed it in a cylinder 2 inches diameter. If the cylinder is 20 inches long find its volume. Ro

alekssr [168]

Answer:

The correct answer is 63 cubic inches.

Step-by-step explanation:

Dali rolled up his painting and placed it in a cylinder 2 inches diameter.

Diameter of the painting is 2 inches. This also implies diameter of the cylinder is 2 inches.

Radius of the cylinder is 1 inch.

Length of the cylinder is 20 inches.

Volume of the cylinder is given by π × $r^{2}$ × h = π × $1^{2}$ × 20 = 20π = 62.85 cubic inches ≈ 63 cubic inches.

Therefore the volume of the cylinder in which Dali placed his painting is given by 63 cubic inches.

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3 years ago

A square with an area A2 of is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?

makvit [3.9K]

Given:
a square with an area of a² is enlarged to a square with an area of 25a².

The side length of the smaller square was changed when The side length was multiplied by 5.

Area = (1a)² = a²
Area = 1a * 5 = 5a ⇒ (5a)² = 25a²

3 0

3 years ago

Read 2 more answers

Simplify (radical 3)(5 radical 3)

irina1246 [14]