Answer:
Step-by-step explanation:
<u>Given:</u>
- AB = 192 cm
- AC : CB = 1 : 3
- CD = BC/12
- The distance between midpoints of AD and CB = x
<u>Find the length of AC and CB:</u>
- AC + CB = AB
- AC + 3AC = 192
- 4AC = 192
- AC = 192/4
- AC = 48 cm
<u>Find CB:</u>
<u>Find the length of CD:</u>
- CD = BC/12 = 144/12 = 12 cm
<u>Find the length of AD:</u>
- AD = AC - CD = 48 - 12 = 36 cm
<u>Find the midpoint of AD:</u>
<u>Find the midpoint of CB:</u>
- m(CB) = AC + 1/2CB = 48 + 144/2 = 48 + 82 = 130 cm
<u>Find the distance between the midpoints:</u>
Answer:
2
Step-by-step explanation:
Answer: m (the slope) = 1/7
Step-by-step explanation:
The slope formula is attached. When you plug in the numbers, you get 1/7 -
0 - 1 / -7 - 0
Tangent always meets radius at 90° angle.
Angle ABC = 90° so Pythagoras' theorem applies.
r² + 4² = (r+2)²
r² + 16 = r² + 4r + 4
12 = 4r
r = 3
We simply need to solve for the circumference of the imaginary circle.
Given:
Diameter = 25 feet.
Circumference = 2 * radius * π OR Circumference = diameter * π
C = 25feet * 3.14
C = 78.50 feet
The pony will walk 78.50 feet to complete one trip around the circle.
