Which is the length of the hypotenuse of the right triangle? Round your answer to the nearest tenth of a centimeter. Hint: Pythagorean Theorem: a^2+ b^2 = c^2

Length of hypotenuse of given triangle

= sqrt(356)   (exact value)

= 18.87 (to 2 decimal places)

Step-by-step explanation:

Using the pythagorean Theorem,

The hypotenuse

c = sqrt(a^2+b^2)

= sqrt(16^2+10^2)

= sqrt(356)   (exact value)

= 18.87 (to 2 decimal places)

10^2 are 100,

16^2 are 256.

100 + 256 are 356.

so, sqrt(356) are nearly 18.

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Step-by-step explanation:

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.

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