Yes, 11.25 per song is a unit rate because it is for each song.
We let x and y be the measures of the sides of the rectangular garden. The perimeter subtracted with the other side should be equal to
2x + y = 92
The value of y in terms of x is equal to,
y = 92 – 2x
The area is the product of the two sides,
A = xy
Substituting,
A = x (92 – 2x) = 92x – 2x2
Solving for the derivative and equating to zero,
0 = 92 – 4x ; x = 23
Therefore, the area of the garden is,
<span> A = 23(92 – 2(23)) = 1058 yard<span>2</span></span>
The angular speed of the wheel is calculated as 52.36 radians per second
<h3>How to solve for the angular speed</h3>
The revolution of this wheel is said to be at 500 in a minute
This is also called the frequency of this wheel.
This can be written as
500rev in 60 seconds. 500/60 = 8.333 per second
Angular speed is given as
pi = 22/7
f = 8.333
Formular for angular speed = ω = 2*pi*f
w = 2 * 22/7 * 8.333
= 52.36 radians per second
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Answer:
33.47
Step-by-step explanation:
i rounded it the real answer is 33.46666667∞
18 km
Step-by-step explanation:
The vector appears as shown in the attached illustration. This is tantamount to finding the ? side of the right-angled triangle. The formulae is;
a² + b² = c²
24² + x² = 30²
x² = 30² – 24²
= 900 - 576
x² = 324
x = 18
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