(-5/6)+(-5/6) have the same denominator (number at bottom of fraction), so all you have to do is add the numerator(top number). So -5 +-5 =-10 . Now you have -10/6, which simplifies to -5/3.
Hope this helps :)
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Answer:
80.5°
Step-by-step explanation:
The applicable trig function is the tangent.
Tan = Opposite/Adjacent
In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...
tan(α) = 324/54
The value of the angle with this tangent is found using the arctangent function:
α = arctan(324/54) ≈ 80.5°
She should set her binoculars to 80.5°.
Answer:
positive slope
(0,3)
slope = 2
Step-by-step explanation:
- Slope of the given line is positive
- If the line is sloping upward from left to right, so the slope is positive (+).
or if the angle made by the line to the x axis is < 90 it's slope is positive.
- y-intercept of the line is (0,3)
- The y intercept is the point where the line crosses the y axis. At this point x = 0.
- slope of the line is 2
- slope = (y2 - y1) / (x2 - x1)
lines passing through points (1,5) (0,3)
slope = (3 - 5) / (0 - 1)
= -2 / -1 = 2
Answer: The cost of Parker's tuition was $25000
Step-by-step explanation:
Let x represent the cost of Parker's tuition.
Parker was able to pay for 60% of his college tuition with his scholarship. This means that the amount of his college tuition that he was able to pay is 60/100 × x = 0.6×x = 0.6x
The remaining $10,000 he paid for with a student loan. The amount remaining is x - 0.6x = 0.4x. This means that
0.4x was paid with a student loan. Therefore,
0.4x = 10000
x = 10000/0.4 = $25000
