A chain fits tightly around two gears as shown. What is the radius of the smaller gear? Round your answer to the nearest tenth.
2 answers:
See image attached
We could find the length of the radius of the small circle using pythagorean theorem. There is a right triangle formed from the picture above. Pythagorean theorem states the sum of the squares of the perpendicular sides on the right triangle is equal to the square of its hypotenuse.
(8 - r)² + 20² = 21²
(8 - r)² + 400 = 441
(8 - r)² = 441 - 400
(8 - r)² = 41
8 - r = √41
r = 8 - √41
r = 8 - 6.403
r = 1.597
to the nearest tenth
r ≈ 1.6
The radius of the small circle is approximately 1.6 in
We could find the length of the radius of the small circle using pythagorean theorem. There is a right triangle formed from the picture above. Pythagorean theorem states the sum of the squares of the perpendicular sides on the right triangle is equal to the square of its hypotenuse.
(8 - r)² + 20² = 21²
(8 - r)² + 400 = 441
(8 - r)² = 441 - 400
(8 - r)² = 41
8 - r = √41
r = 8 - √41
r = 8 - 6.403
r = 1.597
to the nearest tenth
r ≈ 1.6
The radius of the small circle is approximately 1.6 in
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Answer:
<h3>5 years</h3>Step-by-step explanation:
To get the median of the ages given
2, 4, 5, 6, 7, 8, 8, 8, 0, 3, 5, 9, 1, 4, 7, 6, 1, 2, 4, 4, 8
First we will need to rearrange the median ages in ascending order (from lowest to highest)
0, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 9
Next is to locate the middle value of the arranged data
(0, 1, 1, 2, 2, 3, 4, 4, 4, 4), 5, (5, 6, 6, 7, 7, 8, 8, 8, 8, 9)
The total values in both parenthesis are the same(10 in numbers) leaving 5 as the middle number.
Hence the median age of the people in the pool is 5years
Put into slope intercept form, y=mx+b where m=slope
p=-2q+6
slope is -2
subsitute values for q and get values for p
q=0, p=6
(q,p)
(0,6)
(1,4)
p=q+4
slope is 1
subsitutte
q=0,p=4
(q,p)
(0,4)
(1,5)
below are the graphs
p=-2q+6
slope is -2
subsitute values for q and get values for p
q=0, p=6
(q,p)
(0,6)
(1,4)
p=q+4
slope is 1
subsitutte
q=0,p=4
(q,p)
(0,4)
(1,5)
below are the graphs