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agasfer [191]
3 years ago
5

Examine the following graph of y=−3x+7.

Mathematics
1 answer:
likoan [24]3 years ago
8 0
Y=7
X=-3
The following graph
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A water balloon slingshot launches its projectiles essentially from ground level at a speed of 25.5 m/s . (You can ignore air re
lozanna [386]
A) The longest horizontal distance is reached at 45 degrees angle. This is true for any projectile launch.

B) First, calculate fligth time (using the vertical motion) and then calculate the horizontal movement.

Flight time = 2* ascendent time

ascendent time => final vertical velocity, Vy, = 0

sin(45) = Voy / Vo => Voy = Vosin(45) = 25.5 m/s * (√2) / 2 = 18.03 m/s

Vy = Voy - gt = 0  => Voy = gt = t = Voy / g

Use g = 10 m/s^ (it is an aproximation, because the actual value is about 9.81 m/s^2 depending on the latitud)

t = 18.03 m/s / 10 m/s^2 = 1.83 s

This is the ascendant time going upward.

The flight time is 2*1.83 = 3.66 s

Horizontal motion

Horizontal velocity = Vx = constant = Vox = Vo*cos(45) = 18.03 m/s

Vx = x / t => x = Vx*t

Horizontal distance = xmax = 18.03m/s*3.66 s = 65.99 m

c) The time the ballon will be in the air was calculated in the part B, it is 18.03 s
5 0
3 years ago
The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm
svet-max [94.6K]
The sides of the triangle are 3x, 4x and 5x

3x + 4x + 5x = 90
12x = 90
x = 90/12
x = 7.5

first side = 3x = 3 * 7.5 = 22.5 cm
second side = 4x = 4 * 7.5 = 30 cm
third side = 5x = 5*7.5 = 37.5 cm
7 0
3 years ago
60% of what number is equal to 30?<br> A) 0.5 B) 2 C) 18 D) 50
Arada [10]

Answer:

D. 50

Step-by-step explanation:

50/1 (60/100) =

3000/100 =

30/1 =

30

7 0
3 years ago
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75 times 243 <br><br> If your doing just for points I’ll report you
diamong [38]
18,225 :) have a nice day!
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2 years ago
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You need $160 to buy a mountain bike. You earn
Lesechka [4]

first of all b. is 6 because you need to mow 6 lawns in order to get 160$ in one week

but im still trynna figure out a so gimme a sec

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2 years ago
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