Answer: The perimeter is 95 + 15 sqrt 3, and the area is 600 + 35 sqrt 3 / 2
Step-by-step explanation:
We can draw an imaginary line to form a 30 60 90 triangle. The ratio of side lengths in this special triangle is 1 sqrt 3 2. We are given that the side length opposite to 60 degrees is 15. 15 divided by sqrt 3 is equal to 5 sqrt 3. Now, to find the diagonal we can do 5 sqrt 3 * 2 = 10 sqrt 3. So now, we can find the perimeter. The perimeter is equal to 15 + 40 + 40 + 5 sqrt 3 + 10 sqrt 3 = 95 + 15 sqrt 3. Now, we can find the area. The area can be split into the rectangle's area and the triangle's area. The rectangle's area is 15 * 40 = 600. The triangle's area is 15 * 5 sqrt 3 / 2 = 35 sqrt 3 / 2. The total area is 600 + 35 sqrt 3 / 2.
Answer:
65+4k+5+6k+10=180, 80+10k=180, 10k=100, k=10
Step-by-step explanation:
Answer: -1.9b + 7.8
Step-by-step explanation:
since there are only two like terms you need to combine 1.3b and -3.2b
Answer:
180 of the drinks sold were soda
Step-by-step explanation:
if we divide 600 by 0.30, which is 30%, we would get 180, so your answer would be 180.
Answer:
Common denominator is 15
Step-by-step explanation:
