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3 years ago

Please help! 50 points!

Mathematics

1 answer:

german3 years ago

6 0

Answer:

12 units right

17 1/2 units up

Step-by-step explanation:

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Ms. Diaz has 3 5/6 pounds of grapes.

Lana71 [14]

Answer:

3 5/6 pounds = 23/6 pounds

1 2/6 pounds = 8/6 pounds

23/6 - 8/6 pounds = 15/6 pounds. 15/6 = 5/2 pounds

Ms. Diaz was left with 2 1/2 pounds of grapes

5 0

3 years ago

8x-1<15<br> NO one will help plss someone hellpppp

romanna [79]

Answer:

x < 2

Step-by-step explanation:

8x -1 < 15

8x -1 (+ 1) < 15 (+ 1)

8x < 16

$\frac{8x}{8} < \frac{16}{8}$

x < 2

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3 years ago

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5/6<7/8 true or false

Kobotan [32]

Answer:

true

Step-by-step explanation:

5/6=0.8333..

7/8=0.875

7/8 is larger than 5/6

6 0

3 years ago

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In slope-intercept form, what is the equation of a line perpendicular to y = 2x+ 7 that passes through the point (5, 8)?

Masja [62]

Find slope as negative reciprocal of 2 => m=-1/2

y=mx + b

8=5(-1/2) +b

b=21/2

y= -1/2x +21/2

4 0

3 years ago

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