The measure of the angle ∠C to two decimal places will be 117.99°.
The squared of the size of any solitary side of either a triangle is equal, by the cosine rule, to the total of the squares of the lengths of the other two sides, times by the cosine of something like the angle they are a part of.
Let the triangle ΔABC, then the cosine law is given as,
c² = a² + b² - 2 a·b cos C
In ΔABC, if the length of sides a, b, and c are 3.5 centimeters, 5.5 centimeters, and 6 centimeters respectively. Then the measure of the angle ∠C is given as,
6² = (3.5)² + (3.5)² - 2 · (3.5) · (3.5) cos C
Simplify the equation, then we have
6² = (3.5)² + (3.5)² - 2 · (3.5) · (3.5) cos C
36 = 12.25 + 12.25 - 24.50 cos C
11.5 = - 24.50 cos C
cos C = - 11.5 / 24.5
C = 117.99
The measure of the angle ∠C to two decimal places will be 117.99°.
More about the cosine law link is given below.
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B.) 180 in2
C.) 200 in2
D.) 220 in2
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Answer:200 in^2
Step-by-step explanation:
The value will be 4a.
In mathematics, an expression is defined as a set of numbers and mathematical operations that is formed according to rules which is dependent on the context.
equation 1,
equation 2,
Let's assume t=4a,
substituting the value of t in equation1, we get
As we can see we get equation 2 again, therefore, the value will be 4a.
Learn more about the expression:
Answer:
Step-by-step explanation:
Given the function is ........... (1)
Now, we are given that .......... (2)
Now, the left hand side of both the above equations (1) and (2) are similar and the only change is that t is replaced by 4a.
Therefore, the equation (2) can be written as
(Answer)
Since we know that if then , where k is any real value.
Answer:
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Step-by-step explanation: