What is 8114 divided by 46
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:
No, they will need an additional £34 to stay the planned 10 nights.
Step-by-step explanation:
Attached screenshot of a spreadsheet.
The cost for 10 nights for the 2 people is £100.
The tent site rental (over 10m^2) for 10 nights is £150.
Savings for the two over the 9 weeks is £216.
They will need an additional £34 to camp as planned.
I suggest fibbing about the extra 0.5m^2 needed for the tent site. That will reduce the bill by £30, so they are only £4 short. Time to make a couple of friends.
