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:
Number of months spent in first gym = 9
Number of months spent in second gym = 3
Step-by-step explanation:
Let she spent x months in a year at first gym and y months in a year at second gym
Now, there are 12 months in one year
⇒ x + y = 12
y = 12 - x .......(1)
Now, total money she spent in one year = $825
⇒ 75·x + 50·y = 825 .........(2)
Putting value of y from equation (1) in equation (2)
75·x + 50·(12 - x) = 825
⇒ 75·x - 50·x + 600 = 825
⇒ 25·x = 225
⇒ x = 9
Now, putting this value of x in equation(1)
⇒ y = 12 - 9
⇒ y = 3
Hence, number of months spent in first gym = 9
And number of months spent in second gym = 3
i got 180x + 9 but idk if it is the correct answer
Answer:
subtract, and get 52. because you are including customer 201, you add one the answer is C, 53
Step-by-step explanation:
