40 POINTS HELP
1 answer:
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Answer:68.3 degrees
Step-by-step explanation:
The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows
c^2 = a^2 + b^2 - 2abCos C
Looking at the triangle,
b = 75 miles
a = 80 miles.
Angle ACB = 180 - 42 = 138 degrees. Therefore
c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138
c^2 = 6400 + 5625 - 12000Cos 138
c^2 = 6400 + 5625 - 12000 × -0.7431
c^2 = 12025 + 8917.2
c = √20942.2 = 144.7
To determine A, we will apply sine rule
a/SinA = b/SinB = c/SinC. Therefore,
80/SinA = 144.7/Sin 138
80Sin 138 = 144.7 SinA
SinA = 53.528/144.7 = 0.3699
A = 21.7 degrees
Therefore, theta = 90 - 21.7
= 68.3 degees
ANSWER
-2 shift the graph of the basic function down by 2 units.
EXPLANATION
The given cosine function is:
This equation can be rewritten as:
We compare this to
The effect d has on the graph is that, it shifts the graph up by d units.
If d is negative the graph shifts down by d units.
Since d=-2, the graph will shift down by 2 units.
Answer:
The solutions for the equation are:
(4,-2) and (-16,-17)
Step-by-step explanation:
Given equation:
Given points:
(0,-5), (4,-2), (8,2), (-16,-17), (-1,-8), (-40,-34)
We will check each point by plugging it in the given equation and see if it satisfies the equation or not.
(0,5)
which is not true. Hence, not a solution.
(4,-2)
which is true. Hence, it is a solution.
(8,2)
which is not true. Hence, not a solution.
(-16,-17)
which is true. Hence, it is a solution.
(-1,-8)
which is not true. Hence, not a solution.
(-40,-34)
which is not true. Hence, not a solution.