Width = w
Length = w + 1
Area = 30
w(w+1) = 30
w² + w = 30
w² + w - 30 = 0
w² + 6w - 5w - 30 = 0
w(w + 6) -5(w + 6) = 0
(w + 6)(w - 5) = 0
w = 5 or -6
Since the width cannot be negative, the width is 5 units.
Hence, the width is 5 units and the length is 6 units.
Answer:
32.7°
Step-by-step explanation:
Use the formula for law of cosines, for this question we need so solve for angle B, so use...
b² = a² + c² - 2(a)(c)Cos B
We are given a, b, and c, so plug them in...
55² = 90² + 50² - 2(90)(50)Cos B
Now simplify...
3,025 = 8100 + 2500 - (9000)Cos B
-7,575 = -(9000)Cos B (subtract 8100 and 2500 from both sides)
0.841666667 = Cos B (divide both sides by -9000)
Cos^(-1) 0.841666667 = B (use cosine inverse function on calculator)
Answer:
-5
Step-by-step explanation:
To find the slope of the line, you need two points.
(-2 , 5) and (3 , -5)
5 - (-5) / -2 - 3
10 / -5 = -2
The slope of the line is -2. So your answer is C.
