The conversion factor between radians and revolution as measures of angle is 2π rad is equal to 1 revolution. Converting the given angular velocity to rev/s,
(2.8 rad) x (1 rev / 6.28 rad) = 70/157 revolution per second
Dividing the given angle, 20 rev by the velocity,
(20 rev) / (70/157 rev/s) = 44 6/7 s
Thus, the answer is approximately 44.9 seconds.
Answer:A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12 . What is the number.
Step-by-step explanation:Let p/q (q ≠ 0) denote the rational number. Multiplying it by 5/2 gives (p/q)(5/2). Add 2/3 to the product and we get (p/q)(5/2) + 2/3 . The result is given to be -7/12.
∴ (p/q)(5/2) + 2/3 = -7/12 …………………………..……………………………………..(1)
Transposing 2/3 to right-hand-side and changing the sign to negative,
(p/q)(5/2) = -2/3 -7/12 = -(2/3 + 7/12) =- (2 x 4 + 7)/12 (Taking L.C.M.)
Or, (p/q)(5/2) = -(8+7)/12 = - 15/12
Multiplying both sides by 2/5,
(p/q)(5/2) x (2/5) = -15/12 . 2/5 = -(3x5)/(3x4) . 2/5 =- 5/4 .2/5
Since 2/5 is the multiplicative inverse of 5/2, 5/2 x 2/5 = 1 and we obtain
(p/q).1 = -1/4 . 2/1 = -1/2
⇒ p/q = -1/2 which is a negative rational number in which p = 1 and q = 2 ≠ 0 .
∴ the rational number = -1/2
Answer:
C. (-5,-1)
E. (10,2)
F. (15,3)
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<u><em>hope it helps...</em></u>
<u><em>have a great day!!</em></u>
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Answer:
= 426 1/4 hr.
Step-by-step explanation:
5 1/2 = 5.5 Days in a week
7 3/4 = 7.75 hr. Per Day
Total hours in a week = 5.5 × 7.75 = 42.625 hr in a week
In 10 weeks = 42.625 × 10 = 426.25 hr.
Basically each side of the triangle represents a square on each which then makes the hypotenuse the largest square. Now, the area of a square is formulated by (1 side)² . Pythagorean theorem says that the area of the largest square is the sum of the 2 smaller square which is why the formula is a² + b² = c².
