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3 years ago

Is 0.5 greater than or less than 3/5

Mathematics

2 answers:

allsm [11]3 years ago

7 0

0.5 is Less than 3/5

aliya0001 [1]3 years ago

6 0

Less! the difference between the two is .1

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Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground

Scorpion4ik [409]

Answer:

$125.4\ \text{m/s}$

Step-by-step explanation:

u = Initial velocity of baseball

$\theta$ = Angle of hit = $30^{\circ}$

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

$y_0$ = Height of hit = 2.5 ft

$a_y$ = g = Acceleration due to gravity = $32.2\ \text{ft/s}^2$

t = Time taken

Displacement in x direction

$x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}$

Displacement in y direction

$y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}$

The minimum initial velocity needed for the ball to clear the fence is $125.4\ \text{m/s}$

5 0

3 years ago

Identify the slope and the y-intercept of<br> the line with the given equation:<br> 2x+6y=12

Elza [17]

Answer:

The slope is -1/3 and the y-intercept is (0, 2).

Step-by-step explanation:

2x+6y=12

6y=12-2x

6y=-2x+12

y=-2/6x+12/6

y=-1/3x+2

y=mx+b where m=slope and b=y-intercept

5 0

2 years ago

2. Multiply and simplify: (x - 2)(2x + 3)<br> Answer

inysia [295]

Step-by-step explanation:

(x - 2)(2x + 3)

=2x²+3x-4x-6

=2x²-x-6

8 0

3 years ago

Read 2 more answers

Monday the low temperature in Bristol what is -5 Fahrenheit on Tuesday the low-temperature was 14 Fahrenheit how many degrees wa

icang [17]

To find your answer do 14+5 which is 19 so your answer is 19

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3 years ago

For Each Data Set, Determine the median, the first and third Quartiles, and the interquartile Range.

inysia [295]

Text per day: median= 26 1st quartile= 19 3rd quartile=38 Interquartile=19 Daily attendance: median=357.5 1st quartile=298 3rd quartile=422 Interquartile= 124

4 0

3 years ago

Is 0.5 greater than or less than 3/5​

Is 0.5 greater than or less than 3/5