Answer:
0.8660
Step-by-step explanation:
cosine theta = -1/2
theta = cosinearctan(-0.5)
theta = 120
sine4theta = sine 4(120)
= sine480
= 0.8660
Answer:
two and one fourths plus eight thirds
Step-by-step explanation:
Two complementary angles add up to 90 degrees. Hence, the problem can be set up and solved. Let x represents one angle and 5x represent the angle that is 5 times greater:x + 5x = 90 (simplify)6x = 90 (next divide both sides by 6 to find the value of x [the smaller angle])x = 15 (this is the smaller angle, next subtract 15 from 90 to find the greater angle)90 - 15 = 75 (this is the greater angle which is 5 times that of its complement) <span>90 take away 73...</span>
380/14= 27.14 miles per gallon
27.14/2=13.57 miles
they wont reach the gas station
The events 'select a plain pencil' and 'select a color pencil' are independent. therefore the probability of both occurring is the product of their probabilities:

The answer is 3/20 or 0.15.