FK+M=A-UK
FK-UK=A-M
(F-U)K=A-M
K=(A-M)/(F-U)
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
B the person above me is right
Answer:
b. 4 inches by 3inches.
Step-by-step explanation:
Length on the paper = 100/25 = 4 inches
Width on the paper = 75/25 = 3 inches.
Hi there! For this question, we will have to divide. When it comes to dividing fractions, we keep, change, flip. In other words, keep the first fraction the same, change division into multiplication, and flip the second fraction over by its reciprocal. In this case, 3/5 stays the same and 6/1 becomes 1/6. 3/5 * 1/6 is 3/10 or 1/10 in simplest form. There. There are 1/10 gallon of juice in each glass.