Answer:
120π or 377.00 radians per second ( to nearest hundredth).
Step-by-step explanation:
The number of radians in one revolution = 2π, so 60 revs per second =
60 * 2π = 120π radians per second.
Cosine rule: a^2<span> = b^</span>2<span> + c^</span>2<span> - 2bc </span>cos<span> A
-> a^2 > b^2 + c^2 - 2bca
-> abc > (b^2 + c^2 - a^2) /2</span>
Answer:
21y² +34 yx + 8x²
Step-by-step explanation:
Area of a rectangle is given by L×W where L is length, and W is width
Given L=3y+4x
W=7y+2x
Area= (3y+4x) × (7y+2x)
3y(7y+2x) + 4x(7y+2x)
21y² + 6yx +28yx+8x²
21y² +34 yx + 8x²
Answer:
14t + 58 ≤ 150
Step-by-step explanation:
If she cannot spend more than what she has, which is 150, the inequality sign has to be "less than or equal to". It's ok if she spends less than 150, but not ok if she spends more, because she doesn't have it to spend.
We know the cost of 1 pair of jeans is 58. Now she wants to make up the difference by getting as many $14 shirts as possible (the number of shirts being our unknown).
That means that the cost of the jeans PLUS the unknown number of shirts cannot exceed 150.
Therefore, the inequality is:
14t + 58 ≤ 150