Answer/Step-by-step explanation:
a. The sides of ∆ABC can be labelled as follows, taking θ as the reference point.
Adjacent = side AB
Opposite = side BC
Hypotenuse = side AC
b. I. "<B is an acute angle" => FALSE. It is a right angle (90°)
II. "The side opposite to <C is BC" => FALSE. The side opposite to <C is AB.
III. The side adjacent to <A is AB => TRUE
IV. The side opposite to <B is not the longest. => FALSE. It is the hypotenuse and the longest side.
c. Cos θ = 
Tan θ = 
d. Sin C = 
Cos C = 
Tan C = 
Answer:
2(3x+2y) and 6x+4y
Step-by-step explanation:
If we expand all of the solutions and the expression we are trying to match, we can see which expression has all matching terms.
The expression we are matching to can be expanded to:
2(2x+4y+x-2y)
4x+8y+2x-4y
6x+4y
Solution 1: NO
2(x+5y) and 2x+12y
2x+10y and 2x + 12y
Solution 2: NO
2(x+2y) and 2x+4y
2x+4y and 2x+4y
Solution 3: YES
2(3x+2y) and 6x+4y
6x+4y and 6x+4y
Solution 4: NO
2(3x+6y) and 6x+12y
6x+12y and 6x+12y
Answer:
y= (3/2)x - (5/2)
Step-by-step explanation:
Slope-intercept form is y=mx+b. So, 3x-2y=5 can be rearranged to slope-intercept form.
We need to isolate the y and get it by itself, so let's subtract the 3x from both sides.
-> -2y = 5 - 3x
Now we need to get rid of the -2 so that the y will be completely alone. So, divide the -2 from both sides of the equation.
-> y = (5/-2) (-3x/-2)
Now rearrange, and the negatives from the 3x and 2 cancel each other out and we are left with:
-> y = 3/2 x - 5/2
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a divison sentence means <u>you divide</u>
Answer: z= -1.636
Step-by-step explanation:
When population standard deviation is known, then the test statistic is given by :-
, where 
= sample mean, 
= population mean, n=sample size , 
= standard deviation
As per given,
Hence, the e test statistic to see whether the candy bars are smaller than they are supposed to be : z= -1.636
