Answer:
AC = 3.72 units
Angles:
A = 132.6°
C = 27.4°
Step-by-step explanation:
AC² = 5² + 8² - 2(5)(8)cos(20)
AC² = 13.82459034
AC = 3.718143399
3.718143399/sin20 = 8/sinA
sinA = 0.7358944647
A = 180 - 47.38285134
A = 132.6171487
3.718143399/sin20 = 5/sinC
sinC = 0.4599340405
C = 27.38285134
Answer:
325 miles and 77 dollars
Step-by-step explanation:
First, create equations. Let x equal the miles driven. The first plan expression is 38 + 0.12x and the second plan expression is 51 + 0.08x. Setting these equal and solve for x: 38 + 0.12x = 51 + 0.08x -> 0.04x = 13 -> x = 325 miles.
The cost is found by substituting it into any of the expressions: 51 + 0.08(325) = 77 or 38 + 0.12(325) = 77
Answer:
The length of this rectangle is 6 units.
Step-by-step explanation:
Let the width of the rectangle be x.
x • (x+2) = 48
x^2+2x=48
x^2+2x-48=0
x^2 - 6x + 8x - 48
x(x-6) 8(x-6)
(x+8)(x-6)
x=-8,6
I am still learning, and am most likely incorrect.
I believe you remove the 3's since their not needed, and do this:
2x = 4x + 6 - (2x)
so then just ignore "x" and do this:
2 = 4 + 6 - 2
2 = 10 - 2
2 = 8
x = 8
