Answer:
96 cm^2
Step-by-step explanation:
The triangle can be split into 2 6-8-10 triangles, each with area 24. The bottom parallelogram area is base times height, or 8 * 6, so 48. 24 + 24 + 48 is 96.
Answer:
B. (-3, -7)
Step-by-step explanation:
Anytime you rotate a number 180° about the origin, the numbers in the coordinates become their opposites.
-3 is the opposite of 3 and -7 is the opposite of 7.
Therefore, your new coordinates are (-3, -7)
(x,y) becomes (-x,-y)
Answer:
A, B, E, and F
Step-by-step explanation:
sinx and cosx are defined for all values of x. So, sin⁻¹x and cos⁻¹x are also defined for all values of x.
A and E are correct.
tanx is defined for all values of x.
However, tan(nπ) = 0 at when n is an integer. So, tan⁻¹(±nx) is undefined. However, tan⁻¹(-½x) is defined, because -½ is not an integer.
B and F are correct.
C and D are <em>wrong</em>. Both sec⁻¹x and csc⁻¹x are undefined when -1 < x < 1, and -½ is in this forbidden region.
Answer:
Mark will make $80 if he works an eight-hour shift.
Step-by-step explanation:
For every six hour shift he works, Mark makes $60
This implies that for every hour, he makes $10 ($60/6)
Therefore, for working an eight-hour shift, Mark will make $80 ($10 * 8) or ($60/6 * 8).
We can conclude that Mark's employer pays him $10 per hour.
This hourly rate can be used to work out how much Mark will earn if he works for a month or a year, as the case may be.
