Hope this helped! I decided to write it out for you so it would be easier to explain.
Given :
- The length of a rectangle is 4m more than the width.
- The area of the rectangle is 45m²
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To Find :
- The length and width of the rectangle.
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Solution :
We know that,
So,
Let's assume the length of the rectangle as x and the width will be (x – 4).
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Now, Substituting the given values in the formula :
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Since, The length can't be negative, so the length will be 9 which is positive.
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Answer:
Ax+BY=z First subtract Ax from both sides to get By=z-Ax. Then divide by B from both side to get y=(z-Ax)/B
Step-by-step explanation:
The lengths of sides of a 30°-60°-90° triangle have the ratio 1 : √3 : 2. Multiplying these values by 5 tells you the sides have the lengths 5 : 5√3 : 10.
The length x of the middle-length side is ...
c. 5√3
Answer:
a. h = 60t − 4.9t²
b. 12.2 seconds
c. 183.7 meters
Step-by-step explanation:
a. Given:
y₀ = 0 m
v₀ = 60 m/s
a = -9.8 m/s²
y = y₀ + v₀ t + ½ at²
h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²
h = 60t − 4.9t²
b. When the ball lands, h = 0.
0 = 60t − 4.9t²
0 = t (60 − 4.9t)
t = 0 or 12.2
The ball lands after 12.2 seconds.
c. The maximum height is at the vertex of the parabola.
t = -b / (2a)
t = -60 / (2 × -4.9)
t = 6.1 seconds
Alternatively, the maximum height is reached at half the time it takes to land.
t = 12.2 / 2
t = 6.1 seconds
After 6.1 seconds, the height reached is:
h = 60 (6.1) − 4.9 (6.1)²
h = 183.7 meters
