Answer:
The distance bicycle tire travels is <u>1946.8 cm</u>.
Step-by-step explanation:
Given:
Diameter of bicycle tire = 62 cm.
The bicycle tire travels in 10 revolutions.
Now, to find the distance the bicycle tire travels in 10 revolutions.
Diameter = 62 cm.
Radius (r) = 
So, we get the circumference first by putting formula:


Thus, we get the <u><em>circumference of tire 194.68 cm.</em></u>
<u><em>Number of revolutions the tire travels = 10.</em></u>
Now, to get the distance the bicycle tire travels we multiply circumference of tire by number of revolutions the tire travels:

Therefore, the distance bicycle tire travels is 1946.8 cm.
Answer:
<h3>
f(x) = 6(x - 2)² + 3</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
"the parabola opens upward" means: a>0
"the parabola has x = 2 as an axis of symmetry" means: h = 2
so f(x) = a(x - 2)² + k
"the parabola contains the point (1, 9)" means:
9 = a(1 - 2)² + k
9 = a(-1)² + k
9 = a + k
k = 9 - a
"the parabola contains the point (4, 27)" means:
27 = a(4 - 2)² + k
so:
27 = a(2)² + 9 - a
27 = 4a + 9 - a
3a = 18
a = 6
and k = 9 - 6 = 3
Therefore the vertex form for this parabola is:
<u> f(x) = 6(x - 2)² + 3</u>
Answer:
V = 267.95
Step-by-step explanation:
Volume of a Sphere:
V = 4/3πr³
r = d/2
r = 4
Work:
V = 4/3πr³
V = 4/3(3.14)(4³)
V = 4/3(3.14)(64)
V = 267.95
Answer:
j = 6
Step-by-step explanation:
"Is" typically means equals. "More than" means it is added to.
So 15 equals j with 9 added to it.
15 = 9 + j
Now solve for j by subtracting 9 from both sides.
15 - 9 = j
j = 6