Which is the only fraction that must be represented by a nonterminating decimal?

1 answer:

3 0

A is incorrect - In decimal form, 7/5 is 1.4

B is incorrect - In decimal form, 7/4 is 1.75

D is incorrect - In decimal form, 7/2 is 3.5

The answer is C. 7/4; In decimal form, 7/4 is 2.33333333.... (this represents a terminating decimal)

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Find the length of the hypotenuse

Darina [25.2K]

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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harina [27]

Just list all elements that belong both to A and to B
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A three inch diameter pulley on an electric motor that runs at 1800

Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ. Then the tangential speed V is related to angular speed ω as:

$V=R\omega$

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

$\omega_1 R_1 = \omega_2 R_2\\$