Answer: Angle A = 53.9 degrees
Step-by-step explanation: We have a right angled triangle with two sides clearly given and one angle to be calculated. If the angle to be calculated is angle A, then having angle A as our reference angle, line AC (10 units) is the adjacent, line CB is the opposite while line AB (17 units) is the hypotenuse. Having been given the adjacent and the hypotenuse, we can now use the trigonometric ratio as follows;
CosA = adjacent/hypotenuse
CosA = 10/17
CosA = 0.5882
By use of the calculator or table of values,
A = 53.97
Approximately to the nearest tenth,
A = 53.9 degrees
18 miles = 30 minutes
? miles = 10 minutes
cross multiply
? x 30 = 18 x 10 (180)
? = 180/30
? = 6
the city bus would cover 6 miles in 10 minutes.
Answer:
b)
Step-by-step explanation:
The line with positive slope is 3x-5y≥15 and the line with negative slope is 2x+3y≤12.
This is because such inequalities represent half planes which are divided by the corresponding lines.
Put (0,0) in both lines to check if the origin lies in the shaded half plane or not.
Answer:
==7x3−5x2+6x−5
Step-by-step explanation:
=5x3+7x+(-8)+2x3+−5x2+−x+3
Combine Like Terms:
=5x3+7x+−8+2x3+−5x2+−x+3
=(5x3+2x3)+(−5x2)+(7x+−x)+(−8+3)
=7x3−5x2+6x−5
