A bicycle wheel with the diameter 70cm is making 25 revolutions while travelling. Find the distance covered by the bicycle
1 answer:
Answer: 5500cm.
Step-by-step explanation:
A revolution corresponds to circumference of the bicycle wheel.
The radius of the circle = 70/2 since two radii makes a diameter.
Therefore r = 35cm
Circumference of a circle = 2πr or πd where π = 3.142 or 22/7
We now have = 2 x 22/7 x 35
Therefore 0ne revolution = 220cm.
Therefore, the distance traveled by making 25 revolution
= 220 x 25
= 22000/4
= 5500cm.
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Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
![\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C5%26-7%26-3%5Cend%7Barray%7D%5Cright%5D)
Transform this matrix in a row-echelon form:
![\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C0%260%26-9%2Bh%5Cend%7Barray%7D%5Cright%5D)
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.
Answer:
c
Step-by-step explanation:
subtract b from both sides
divide by x
First, find what one lightbulb costs.
9.85 / 5 = 1.97
Then multiply the product by 7.
1.97 * 7 = 13.79
Seven light bulbs will cost $13.79
Answer:
Cubed root of 9
Step-by-step explanation:
3^(2/3)
=³√3²
= ³√9
