I got

What we know
cos a=-3/5.
sin b=12/13
Angle A interval are between 180 and 270 or third quadrant
Angle B quadrant is between 90 and 180 or second quadrant.
What we need to find
Cos(b)
Cos(a)
What we are going to apply
Sum and Difference Formulas
Basics Sine and Cosines Identies.
1. Let write out the cos(a-b) formula.

2. Use the interval it gave us.
According to the given, Angle B must between in second quadrant.
Since sin is opposite/hypotenuse and we are given a sin b=12/13. We. are going to set up an equation using the pythagorean theorem.
.




so our adjacent side is 5.
Cosine is adjacent/hypotenuse so our cos b=5/13.
Using the interval it gave us, Angle a must be in the third quadrant. Since cos is adjacent/hypotenuse and we are given cos a=-3/5. We are going to set up an equation using pythagorean theorem,
.




so our opposite side is 4. sin =Opposite/Hypotenuse so our sin a =4/5.Sin is negative in the third quadrant so
sin a =-4/5.
Now use cosine difference formula



Hope this helps
The correct answer is 39.0
The answer is:
Square root of 77
—————————
22
You need to rationalize the denominator meaning that you have to get rid of the square root signs in denominator
To get rationalize the denominator you need to multiply both sides by square root of 11
(Square root of 7)(square root of 11)
——————————————————
2(square root of 11)^2
When squaring a square root it makes the square root “go away”
(Square root of 77)
——————————
2(square root of 11^2 or 122) = 2(11)
So:
The answer is
square root of 77
—————————
22
~~hope this helps~~
Answer:
The runner’s time is 3.18 minutes
Step-by-step explanation:
Mathematically;
z-score = (x-mean)/SD
In this question, we have the z-score but we want to calculate x
From the question
z-score = -1.76
mean = 4.5 minutes
SD = 0.75 minutes
x = ?
Substituting these values, we have that
-1.76 = (x-4.5)/0.75
0.75(-1.76) = x - 4.5
-1.32 = x - 4.5
x = 4.5 -1.32
x = 3.18
It states that the chef makes 20.5 servings, and that each serving holds 3.275 ounces, so to find the total amount of sauce the chef made you would multiply the number of servings by the volume of each serving, which is 20.5*3.275= 67.1375
There are four decimal places in the product of 67.1375 total ounces of sauce.