Answer:
15
Step-by-step explan
cos(a+B)/cos a sin B = cot B -tan a
Answer:
475 x 0.20 = $95
475 - 95 = $380
Step-by-step explanation:
so your answer is $380!
hope this helps! :)
Answer:
length: 6 inches
width: 7 inches
Step-by-step explanation:
Let n represent the number. Then the length is (n+2) and the width is (2n-1). The product of these dimensions is the area:
42 = (n+2)(2n -1) = 2n^2 +3n -2
2n^2 +3n -44 = 0 . . . . subtract 42
(n -4)(2n +11) = 0 . . . . . factor
n = 4 . . . . . . . . we aren't interested in the negative solution
Length = 4+2 = 6 . . . inches
Width = 2·4 -1 = 7 . . . inches
The dimensions of the rectangle given that its area is 42 square inches, the length is 2 inches more than a number, and the width is 1 inch less than twice the same number, are 6 inches by 7 inches.
To solve this problem, let's define the unknown number as
x. According to the problem, the length of the rectangle is 2 inches more than x (so it's x + 2), and the width is 1 inch less than twice the number x (which makes it 2x - 1).
Now, we'll use the formula for the area of a rectangle, which is length times width: (x + 2) * (2x - 1) = 42.
Solve this equation by expanding the parentheses (2x^2 + 4x - x - 2 = 42), simplifying (2x^2 + 3x - 2 - 42 = 0), and rearranging (2x^2 + 3x - 44 = 0).
Using the quadratic formula, we find that the possible values of x are 4 and -5.5. However, a negative size doesn't make sense in this context, so x = 4 inches. That makes the length = 4 + 2 = 6 inches, and the width = 2*4 - 1 = 7 inches. Therefore, "the dimensions of the rectangle are 6 inches by 7 inches".
#SPJ3
B: -8
C: 8
D: 12
Answer:
C: 8
Step-by-step explanation:
8^3=512
if it was -8^3 it would equal -512