Answer:
40 hours
Step-by-step explanation:
47.3-40= 7.3
He worked 7.3 hours overtime meaning he worked 40 regular hours.
You will have infinite solutions
First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, π/12 can be split
into π/3−π/4.
cos(π/3−π/4)
Use the difference formula for cosine to simplify the expression. The formula states that cos(A−B)=cos(A)cos(B)+sin(A)sin(B)
cos(π/3)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/3) is 12, so:
(12)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/4) is √22.
(12)⋅(√22)+sin(π/3)⋅sin(π/4)
The exact value of sin(π/3) is √32.
(12)⋅(√22)+(√32)⋅sin(π/4)
The exact value of sin(π/4) is √22.
(12)⋅(√22)+(√32)⋅(√22)
Simplify each term:
√24+√64
Combine the numerators over the common denominator.
<span>(√2+√6)
/ 4</span>
the width of Yun's area model is 7x units or ( x-2 )units .
<u>Step-by-step explanation:</u>
Here we have , Yun was trying to factor 7x^2-14x. He found that the greatest common factor of these terms was 7x and made an area model: What is the width of Yun's area model. Let's find out:
We know that area of rectangle :
⇒ 
.........(1)
Now , According to question we have
⇒ 
⇒ 
Comparing this equation to equation (1) we get that :
⇒ 
or , 
Therefore , the width of Yun's area model is 7x units or ( x-2 )units .
Initial population of rainbow smelt: 227.
Initial population of bloater fish: 1,052.
t - number of the years;
The equation is:
227 - 19.76 t = 1,052 - 92.57 t
92.57 t - 19.76 t = 1,052 - 227
72.81 t = 825
t = 825 : 72.81
t = 11.33 years = 11 1/3 years = 11 years 4 months
Answer: After 11 years and 4 months.
