1. Find the "opposite side," if the angle is 60 degrees and the hyp is 6:
opp opp sqrt(3)
sin 60 deg = ------- = -------- = ----------
hyp 6 2
Cross-multiplying, 2(opp) = 6sqrt(3), so that opp = 3 sqrt(3) (answer)
2. Use the Pyth. Thm. to find the "adjacent side:"
[3sqrt(3)]^2 + x^2 = 6^2, or 9(3) + x^2 = 36, or x^2 = 9, or x = 3.
The lengths of the legs of this 30-60-90 triangle are 3 and 3 sqrt(3).
check: Does 3^2 + [3sqrt(3)]^2 = 6^2?
Does 9 + 9(3) = 6^2? YES
Answer:
Step-by-step explanation:
0.3535... = 35/99
Answer:
45
Step-by-step explanation:
The points on the graph :
(4, 180) ; (7, 135)
x1 = 4 ; y1 = 180
x2 = 7 ; y2 = 315
The number of soda bottles the machine can make in a minute is the gradient or slope :
Gradient = change in y / change in x
Gradient = (y2 - y1) / (x2 - x1)
Gradient = (315 - 180) / (7 - 4)
Gradient = 135 / 3
Gradient = 45
Hence, the machine can make 45 soda bottles in a minute.
Answer:
1/32
Step-by-step explanation:
1/4 divided by 8 equals 1/32 using calculator. No explanation really... Brainliest?
