9514 1404 393
Answer:
nπ -π/6 . . . for any integer n
Step-by-step explanation:
tan(x) +√3 = -2tan(x) . . . . . given
3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3
tan(x) = -√3/3 . . . . . . . . . . divide by 3
x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x
This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...
x = n·π -π/6 . . . . for any integer n
Answer:
$160
Step-by-step explanation:
Answer:
a. 76 b. 52
Step-by-step explanation:
The perimeter of a rectangle is the sum of its four sides.
Now all rectangles have a width and a length.
To find the perimeter it is 2 width + 2 length or 2W +2L.
So if the Perimeter P = 344 and Width W = 76 and P = 2W + 2L
Then...
2(76) + 2L = 344 multiply 2 and 76
2L + 152 = 344 subtract 152 from both sides
2L = 192 divide both sides by 2
L = 96
The length is 96.
The equation of an area of a rectangle is A or area = width x length or W x L
So the equation is A = W x L
If the area is 4732 and the length is 91 then
91W = 4732 divide both sides by 91
W = 52
The width is 52.
Hope that helps, good luck with your homework!
Answer:
Step-by-step explanation:
