In ΔABC, if the length of sides a, b, and c are 3.5 centimeters, 5.5 centimeters, and 6 centimeters respectively, what is m∠C to two decimal places
Answers
The measure of the angle ∠C to two decimal places will be 117.99°.
What is the cosine law?
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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Related Questions
Edward walked 3/4 mile from his home to the park. Then he walked 2/4 mile from the park to the library. Which distance is shorter?
$3 is what percent of $40
What is 45% of 432? and how?
A box contains 1 4/5 pounds of pasta. How many ounces of pasta are in a box
Answers
5 is rounded up to the next whole number.
For example: 15.5 is rounded to 16
And, in this example, its given 26.55 which rounds to 27.
26.55 is closer to 27 than to 26.
Nearest whole number is 27
A.
3 × (20 – 15)
B.
20 × (15 + 3)
C.
3 × (20 + 15)
D.
20 × (15 – 3)
Answers
Answer:
C. 3 × (20 + 15)
Step-by-step explanation:
If Ben practices this way every day, then the amount of time should be the same.
20 minutes of song practice, 15 minutes of scale practice.
20+15=35
multiply the 35 minutes per day by three
35 times 3 equals 105
So the answer is C.
3 × (20 + 15)
3(35)=105
Answer:
C. 3 x (20 + 15)
Step-by-step explanation:
You have to add 20 + 15 to get 45 so the 20 + 15 goes in the (). It says how much time he has practiced in 3 days so you have to multiply the things in the () by 3 so the 3 goes out side the ().
Answers
True.
5x - 3(2x - 4)
BODMAS: BRACKETS FIRST
5x - 6x + 12
THEN SIMPLIFY X
-x + 12
REARRANGE TO GIVE THE SECOND EXPRESSION
12 - x
B. By what percent is the number of males less than the number of females?
C. Why is the percent increase and percent decrease in parts A. and B. different?
Answers
There were 28.57 % females greater than the number of males, 40 % males less than the number of females, and the percentage increased and decreased because of the number of females and males.
What is the percentage?
The percentage is defined as a ratio expressed as a fraction of 100.
At a student council meeting, there was a total of 60 students present. Of those students, 35 were female.
number of females = 35
number of males = 60 - 35 = 25
To find percent is the number of females greater than the number of males
(35-25)/35 × 100 = 28.57 %
To find percent is the number of males greater than the number of females
(35-25)/25× 100 = 40 %
The percentage increases and the percentage decreases. In parts a and b because of the number of females and males
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Answer:
A. 55%
B. 45%
C. The percent is increase and percent decreased. In parts a and b because of the number of female s and males
Step-by-step explanation:
18 hours
60 seconds)
= 1080 seconds
1 minute
What conversion ratio did she skip in this multiple-step conversion?
Answers
Answer:
The conversion of minutes to seconds is skipped in multiple-step conversion.
Step-by-step explanation:
Given:
To convert 18 hours into seconds.
Now, to get the conversion ratio skip in this multiple-step conversion.
First we need to convert hours into minutes:
1 hour = 60 minutes.
So, 18 hours =
= .
Then, we convert minutes into seconds:
1 minute = 60 seconds.
So, 1080 minutes =
= .
Thus, 18 hours = 64800 seconds.
As given in question the conversion from hours to seconds is there but the conversion of minutes to second is not there it is skipped so the result is incorrect.
Therefore, the conversion of minutes to seconds is skipped in multiple-step conversion.
Answers
17*(3/14)
More detailed;
3/14 gives us how many it takes to feed 1 person, then we times the amount it takes to feed one person by 17 (to get 17 people)