Answer:
106
Step-by-step explanation:
The diameter of the wheel is 15 cm or 0.15 m.
The circumference of the wheel is 0.15π m ≈ 0.47 m.
So the wheel moves 0.47 m with each revolution.
The wheel travels 50 m, so the number of revolutions is:
(50 m) / (0.47 m/rev) ≈ 106 revolutions.
Answer:
B. y = 4x
Step-by-step explanation:
** 4 blocks = 1 unit [vertically]
Starting from the origin, you do <em>rise</em><em>\</em><em>run</em><em> </em>by moving four blocks <em>north</em><em> </em>over one block <em>east</em><em>.</em><em> </em>This graph is an example of what is known as direct variation.
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Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
624/27
first you have to know what number that can be subtracted by 62
1. do 27 times 2 equal 54 then you subtract 62 by 54 equal 8 then you put 84 together that will 84 then multiply 27 times 3 = 81 then subtracted by 84
84-81 equal 3
In the calculator the answer is 23.1111111111
