Answer:the horizontal displacement is 34.64 meters
The maximum height is 15 meters
Step-by-step explanation:
As the ball moves from the ground at 30 degrees, it travels through a parabolic path. It can therefore be likened to a projectile. The horizontal displacement to where it lands is the range. The formula for determining range,R is
R = U^2Sin2#)/g
Where
U represents the initial velocity of the ball
g is acceleration due to gravity
# represents the angle above the horizontal.
From the information given
# = 30 degrees
U = 20 m/s
g = 10m/s^2
R = 20^2Sin2×30)/10 = (400Sin60)/20 = (400×0.8660)/10
= 34.64 meters
To determine the maximum height of the ball, H,
H = (U^2Sin^2#)/2g
H = (20^2 × Sin^2 30)/2×10
H = (400 × 0.866^2)/20 = 15 meters
Let, Price of a shirt = x
Price of a Jeans = y
Equations would be: 4x + 3y = 150
x + 2y = 70
x = 70-2y
Substitute it into first equation,
4(70-2y) + 3y = 150
280 - 8y + 3y = 150
-5y = -130
y = 130/5
y = 26
Substitute it into 2nd equation,
x + 2(26) = 70
x = 70-52
x = 18
So, Cost of a Shirt = $18 & Cost of a Jeans = $26
Hope this helps!
Answer:
(4,0)
Step-by-step explanation:
4x+2y=16
-4y+x=4
Multiply the first equation by 2
2(4x+2y)=16*2
8x +4y = 32
Add the 2nd equation
8x +4y = 32
x -4y =4
--------------------
9x =36
Divide each side by 9
9x/9 = 36/9
x=4
Now solve for y
-4y +x =4
-4y +4 = 4
Subtract 4 from each side
-4y +4-4=4-4
-4y =0
Divide by -4
-4y/-4 =0/-4
y=0
(4,0)
Answer:
The answer is D
Step-by-step explanation:
(12 + 6) x ( 11 - 7) = 72
18 x 4 = 72
72 = 72
Alright so the answer would be letter B, because
win-to-loss
49 to 21 (You can determine her losses by subtracted the number of wins from her total number of games played)
Now you must simplify your answer
7 is the greatest common factor (GCF) of both 49 and 21
Now divide both 49 and 21 by 7 to get
7 to 3