We want to find the value of cot(θ) given that sin(θ) = 3/8 and θ is an angle in a right triangle, we will get:
cot(θ) = (√55)/3
So we know that θ is an acute angle in a right triangle, and we get:
sin(θ) = 3/8
Remember that:
- sin(θ) = (opposite cathetus)/(hypotenuse)
- hypotenuse = √( (opposite cathetus)^2 + (adjacent cathetus)^2)
Then we have:
opposite cathetus = 3
hypotenuse = 8 = √(3^2 + (adjacent cathetus)^2)
Now we can solve this for the adjacent cathetus, so we get:
adjacent cathetus = √(8^2 - 3^2) = √55
And we know that:
cot(θ) = (adjacent cathetus)/(opposite cathetus)
Then we get:
cot(θ) = (√55)/3
If you want to learn more, you can read:
brainly.com/question/15345177
a. 3/4 is greater than 11/16.
Reasoning: The least common denominator is 16
Comparing 12/16 and 11/16: 12/16 > 11/16 so 3/4 is greater than 11/16
b. 5/7 is greater than 34/49
Reasoning: The least common denominator is 49
Comparing 35/49 and 34/49: 35/49 > 34/49
c. 11/30 is greater than 3/10
Reasoning: The least common denominator is 30
Comparing 11/30 and 9/30: 11/30 > 9/30
d. 12/27 is equal to 4/9
Reasoning: The least common denominator is 27
Comparing 12/27 and 12/27: 12/27 = 12/27
I hope this helps! Good luck (:
Answer:
slope is 18 and it represents the change in x or in your case, whatever x represents such as miles per hour or bananas eaten per minute
Step-by-step explanation:
Answer:
Step-by-step explanation:
So we have the two functions:
And we want to find (f+g)(x). This is the same as:
Substitute:
Combine like terms:
Add:
And we're done!