Answer:

Step-by-step explanation:
sin60° = 
tan60° = 
tan45° = 1
cos45° = 
(2sin60°)(3tan60°) - (4tan45°)(2cos45°)
now substitute the values of each trigonometrical angles






Answer:
Horizontal asymptote of the graph of the function f(x) = (8x^3+2)/(2x^3+x) is at y=4
Step-by-step explanation:
I attached the graph of the function.
Graphically, it can be seen that the horizontal asymptote of the graph of the function is at y=4. There is also a <em>vertical </em>asymptote at x=0
When denominator's degree (3) is the same as the nominator's degree (3) then the horizontal asymptote is at (numerator's leading coefficient (8) divided by denominator's lading coefficient (2)) 
Answer:
5,252
Step-by-step explanation:
Let the number of boys present be b and the number of girls present be g
Now we are told these numbers are equal. This means b = g
Furthermore, if 1313 girls leave, the number of boys remaining would be twice the number of girls.
Mathematically, this can be expressed as follows:
b/(g-1313) = 2
b = 2(g-1313)
b = 2g - 2626
b + 2626 = 2g
We know that b = g from the initial equation, substituting this here yields:
g + 2626 = 2g
g = 2626
Since b = g, b = 2626 also
Total number of students = 2626 + 2626 = 5,252
Answer:
Slope: -4
Y-intercept: 5
Step-by-step explanation:
The slope goes down 4 and over one which means that the slope is -4.
When X is 0, Y is 5
Good Luck!!
Answer:
A
Step-by-step explanation:
Pick a letter that's easy to count. I chose Q, because it has a tail below the baseline that makes them easy to spot.
Not C or D — too many quarters
Not B — too many nickels
It is often easier to find the correct answer choice by eliminating the bad choices, then seeing if what is left is consistent with the problem statement.
Choice A seems to have the right numbers of pennies and dimes (along with quarters and nickels).