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:
If the area of a square = 4cm^2
then the side length of = √4 = 2 cm
The constant is -12. I think of constant as the "lonely little number".... Hope this helped =)
Answer:
1.Toast your hot dog bun if you like.
2.Grab pan with little bit of water
4.Place hotdog and cook until chang color on both sides
5.
Place a cooked hot dog inside the bun.
6.Add sauces.
6.Put on chunky condiments next.
7.Top it with cheese if you like.
8.Finish the dog with your favorite spices.
9.
Put the assembled hot dog on a plate.
10.Serve your favorite snacks on the side.
<u>Answer:</u>
Approximately 377 cubic inches of water.
<u>Step-by-step explanation:</u>
We know that Mary wants to fill in a cylinder vase and she was told that the vase should be filled 3/4 for the flowers to last the longest. We are to find how much water should she pour into the vase.
So first, we will find the height of the water:
inches
Then, find the volume of the water of this height:

Therefore, Marry should pour approximately 377 cubic inches of water.