Hi There!
-----------------------------------------------------
Baseball Bats:
43 x 0.45 = $19.35 as the amount off.
43 - 19.35 = $23.65 with the discount.
23.65 x 2 = $47.3 for two bats.
-----------------------------------------------------
Glove:
28 x 0.25 = $7 as the amount off.
28 - 7 = $21 with the discount.
-----------------------------------------------------
Together:
21 + 47.3 = $68.3 as the total before taxes.
-----------------------------------------------------
With Taxes:
68.3 x 0.055 = $3.7565 as the tax amount.
68.3 - 3.7565 = $64.5435
-----------------------------------------------------
Answer:
Not Rounded: $64.5435
Rounded: $64.54
-----------------------------------------------------
Hope This Helps :)
I'm going to have to go with choice "c". 10x - 1 with the remainder of 5
We know the area of the middle rectangle is 48 (length * width). removing that rectangle leaves us with two semicircles. you can combine those semicircles to be the equivalent of one circle. the area for a circle is r^2 * pi. we know the diameter is 4 because that is where we cut the semicircles. radius is half the diameter, so r is 2. 2^2 is 4, 4* pi is 12.56. add 12.56 (area of semicircles) with 48 (area of rectangle) and we get 60.56
I'll write "x" instead theta.
sin x + 1 = cos(2x)
formula: cos(2x) = 1 - 2sin²x
sin x + 1 = 1 - 2sin²x
2sin²x + sin x = 0
sin x (2sin x + 1) = 0
sin x = 0 or sin x = -1/2
x1 = πk and x2 = -π/6 + 2πk and
x3 = 5π/6 + 2πk
for domain 0≤x<2π :
x1 = 0 (for k=0 in x1)
x2 = π (for k=1 in x1
x3 = 11π/6 (for k=1 in x2)
x4 = 5π/6 (for k=0 in x3).
k is an integral.