It’s 120 minutes because it would be two hours but there not putting it into hours there putting it into minutes and 1 hour is 60 minutes so two hours is 120 minutes
The ratios of sides in a 30°-60°-90° triangle are such that the hypotenuse (AB) is double the length of the shortest side (AC). In your triangle, AC is the hypotenuse of similar triangle ACD, which has AD as its shortest side.
Then
... (1/2)×(AD+54) = AC
... (1/2)×AC = AD
Together, these tell you
... AD = (1/4)(AD +54)
... 3×AD = 54
... AD = 18
Answer:
The basic answer to your question is that we have to start somewhere.
The essence of mathematics (in the sense the Greeks introduced to the
world) is to take a small set of fundamental "facts," called
postulates or axioms, and build up from them a full understanding of
the objects you are dealing with (whether numbers, shapes, or
something else entirely) using only logical reasoning such that if
anyone accepts the postulates, then they must agree with you on the
rest.
It can sometimes be proven.
Answer:
4.19 inches
Step-by-step explanation:
Your goal is to find the circumference of the donut and then divide that by 3 to get 1/3 of the outer edge of the donut.
Circumference is 2
r
The diameter (double the radius) is 4, so radius (r) is 2
2 * pi * 2 = 4 pi = 12.57 (round to hundredth)
12.57/3 = 4.19
keep in mind that dividing by 3 is the same as multiplying by 1/3