Before painting a picture on canvas, an artist must stretch the canvas on a rectangular wooden frame. To be sure the angles are true right angles, the artist can measure the diagonals of the stretched canvas. What should be the diagonal measure of a canvas whose sides are 55 inches and 1212 inches in length?

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  13 inches

Step-by-step explanation:

The Pythagorean theorem can help. The square of the diagonal is the sum of the squares of the sides:

  d^2 = 5^2 +12^2 = 25 +144 = 169

  d = √169 = 13

The diagonal measure is 13 inches.

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Additional comment

The integer triple (5, 12, 13) is called a "Pythagorean triple." One of the more famous ones is (3, 4, 5). Another one commonly seen in Algebra problems is (7, 24, 25). It is worth noting these, as they show up often.

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4