Answer:
cos∠ABC = 12/15 = 0.80
tan∠ABC = 9/12 = 0.75
sin∠ACB = 12/15 = 0.80
cos∠ACB = 9/15 = 0.60
tan∠ACB = 12/9 = 1 1/3
Step-by-step explanation:
Find the Adjacent, Opposite, or Hypotenuse angles to the angles in the picture and fill them into the given fraction.
cos∠ABC = Adjacent/Hypotenuse = 12/15 = 4/5 = 0.80
tan∠ABC = Opposite/Adjacent = 9/12 = 3/4 = 0.75
sin∠ACB = Opposite/Hypotenuse = 12/15 = 4/5 = 0.80
cos∠ACB = Adjacent/Hypotenuse = 9/15 = 3/5 = 0.60
tan∠ACB = Opposite/Adjacent = 12/9 = 1 1/3 (1 1/3 in decimal form is 1.3 with a line on top of 3 (Bar on top of 3))
The ordered pair (1, 40) represents the unit rate of the relationship.
The ordered pair (3, 120) means that Tien can type 120 words in 3 minutes.
There's 60 min, so 1/8 of 60
60/8= 7.5 minutes in 1/8 of 60
The function is :
y = √(x-12), x≥12
To find the inverse function, we interchange x and y, and then make y the subject again.
So interchanging x and y we have:
x = √(y-12)
Squaring both sides gives;
x² = y-12
Now making y the subject we have,
y = x² +12
x≥0.
Therefore the inverse function is;
y = x² +12, x≥0.
Hence the correct answer is C.
