Cody is selling chocolate and white chocolate candy bars for a student fundraiser. 30% of the candy bars sold have been white ch
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Law of cosine is applicable to all the triangles. The value of the angle by which the boat turns is 39.195°.
<h3>What is the law of cosine?</h3>Law of cosine helps us to find the third side of the triangle when 2 sides and an angle are known. It is formulated as,
a, b, c is the sides of the triangle and,
= angle opposite c
A.)
Given to us
A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping.
When it stopped, the boat was 18 miles from its starting point.
According to the given statements, sides and angles can be written,
a = 25 miles
b = 28 miles
c = 18 miles
Substitute the values,
Hence, the value of the angle by which the boat turns is 39.195°.
B.)
Given to us
Starting at the dock, it travels 18 miles to the left, then 25 miles up and to the right, and then 28 miles down and back to the dock.
The angle between 25 miles and 28 miles is x degrees.
According to the given statements, sides and angles can be written,
a = 25 miles
b = 28 miles
c = 18 miles
Substitute the values,
Hence, the value of the angle by which the boat turns is 39.195°.
Learn more about the Law of cosine:
Answer:
Please find a representation of the factor rainbow below.
The missing factors are: 4, 24, and 144
Step-by-step explanation:
The factors of a number are those numbers that can divide another number without remainder. In this case where Katya factored 288, it means she listed the numbers that can divide 288 without reminder (factors of 288). However, among the factors she listed, THREE factors are missing.
To get the missing factors, we can use a FACTOR RAINBOW, which is a display of the factors of a number in a rainbow shape. The factors are arranged from smallest to largest number in such a way that the two numbers attached to a line can be multiplied to give the original number.
From the attached factor rainbow (see attached image), it can be observed that factors: 4, 24, and 144 are missing in the list of factors Katya provided.
