15.8 km each day for 18 days...
so he biked a total of (15.8 * 18) = 284.4 km <==
Use SOH
To find sin=O/H or 5/25
Then use the inverse sin^-1(5/25)
And find the angle
Yes, it is - while it is infinite, it repeats, so it is a rational number.
Answer:
256/3 = 85 1/3 square inches
Step-by-step explanation:
The dimensions of the first inscribed triangle are 1/2 those of the original, so its area is (1/2)² = 1/4 of the original. The area of the original is ...
A = (1/2)bh = (1/2)(16/√2)(16/√2) = 64 . . . . square inches
The sum of an infinite series with first term 64 and common ratio 1/4 is ...
S = a1/(1 -r) . . . . . . for first term a1 and common ratio r
= 64/(1 -1/4) = 64(4/3) = 256/3 . . . . square inches
The sum of the areas of the triangles is 256/3 = 85 1/3 square inches.