Answer:
radius = 5 units
Step-by-step explanation:
leg lengths of 6 and 8
AC = 6
BC = 8
Notice that since AB = diameter of circle and that C is inscribed in circle O
angle C = 90 degrees
triangle ABC is a right triangle
(AB )^2 = (AC)^2 + (BC)^2 by Pythagorean theorem
so
(AB)^2 = 6^2 + 8^2 = 36 + 64 = 100
AB = square root of 100 = 10
so AO = (1/2) *AB = (1/2)*10 = 5
Answer: B. (1/200 = x/19.5)
EXPLANATION
Space shuttle Atlantis model scale 1:200
Length of Atlantis on model = 19.5
The actual length of Atlantis = x
Find x
Scale = 1:200; in decimal = 1/200
When length on model = 1
Actual length = 200
When actual length = x
Length on model = 19.5
Scale = x:19.5 ; in decimal = x/19.5
Equating both scales,
1/200 = x/19.5 (Option B)
In the fundamental counting principle, you are multiplying to get the total number of possibilities as a result. For example, if you have 5 different types of bread, 8 types of cheese, and 6 types of meat, you have 240 choices (8 x 6 x 5).
