3 years ago

Which of these fractions is a recurring decimal?

Mathematics

1 answer:

MrRissso [65]3 years ago

5 0

Answer: D - 15/17

Explanation: it is the only answer that keeps continuing on forever when divided

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Answer:

Option B) the ball lands in front of the wall

Explanation:

1. Find the vertical and horizontal components of the initial velocity

a) Horizontal component:

$v_{0,x}=v_0\times cos(20\º)=135ft/s\times cos(20\º)=126.86ft/s$

b) Vertical component:

$v_{0,y}=v_0\times sin(20\º)=135ft/s\times sin(20\º)=46.17ft/s$

2. Find the time when the ball runs 380 feet horizontally:

$x=v_{0,x}\times t\\\\380ft=126.86ft/s\times t$

$t= (380ft)/(126.86ft/s)=2.995s\approx 3.0s$

3. Find the height of the ball when the time is 3.0s

$y=y_0+v_{0,y}\times t-gt^2/2$

y₀ = 3 ft
g ≈ 32.174 ft/s²

$y=3ft+46.17ft/s\times 3.0s-32.174ft/s^2\times (3.0s)^2/2$

$y=-3.3ft$

This result means that the ball does not reach the wall because it has fallen to the ground (when y = 0) before 3.0s.

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