In a 30-60-90 triangle:
the side opposite of the 30 degree angle has a length of "b"
the side opposite of the 60 degree angle has a length of "b√3"
the side opposite of the 90 degree angle has a length of "2b"
The given value of 8 is opposite of the 90 degree angle, so 8 = 2b → 4 = b
Now, plug in 4 for b to determine the lengths of the other sides.
s is the side opposite of the 30 degree angle which has a length of "b"
so, s is 4
q is the side opposite of the 60 degree angle which has a length of "b√3"
so, q is 4√3
Answer: F
Answer:
Step-by-step explanation:
Each block has two 20×1 faces, two 20×2 faces, and two 2×1 faces.
Surface area of one block = 2(20×1) + 2(20×2) + 2(2×1) = 124 sq in
Total surface area = 4(124) = 496 sq in.
Largest surface area: Assemble the blocks end-to-end into a block that is 80 by 2 by 1. Six of the 2 by 1 faces are hidden, so the surface area is 496 - 6(2×1) = 484 sq in.
Smallest surface area: Assemble the blocks into a block that is 20 by 4 by 2. Four of the 20 by 2 faces and four of the 20 by 1 faces are hidden, so the surface area is 496 - 4(20×2) - 4(20×1) = 256 sq in.
Difference in surface area = 484-256 = 228 sq in.
