Answer:
C: 12.5
Step-by-step explanation:
The sides x and 11 could be defined as the Adjacent angle and the Hypotenuse. This means that we will use the cos function to solve this.
First we can set up our equation
Next we can solve for x by multiplying by x and dividing by 
Answer:
The correct answer is 218 math textbooks and 259 sociology textbooks.
Step-by-step explanation:
To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:
s + m = 477
m + 41 = s
There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.
s + m = 477
(m + 41) + m = 477
Combining like terms on the left side of the equation yields:
2m + 41 = 477
Subtracting 41 from both sides of the equation gives us:
2m = 436
Finally, dividing both sides of the equation by 2 gives us:
m = 218
To solve for the number of sociology textbooks, we can substitute into either of our original equations.
m + 41 = s
(218) + 41 = s
s = 259
Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.
Hope this helps!
Answer:
If 8 Treasure Chests per 4 Hours so
12 Treasure Chests for 6 Hours
10 treasure Chests for 5 Hours
Step-by-step explanation:
If 8 Chests every 4 Hours, then 2 Chests is every 1 hour. Count up each hour, add 2 chests.
The value of 
is 31
Explanation:
The given expression is 
We need to determine the value of
The value of can be determined by substituting 
in the expression
Thus, we have,
Adding the terms, we have,
Thus, the value is 31.
Therefore, the simplified value of the expression by substituting in the expression is 31.
