Answer:
Step-by-step explanation:
Solve the system:
8x−4y=20
4x−8y=4
Reduce the first equation by dividing every term by -2:
-4x + 2y = -10
and then combine this result with the second equation:
4x−8y=4
-4x + 2y = -10
--------------------
-6y = -6, and so y = 1.
According to the first equation, if y = 1, then 4x - 8 = 4, or x = 3.
Then x = 3 and y = 1.
So, finally, x - y = 3 - 1 = 2
Answer:
4.71 ft^2
Step-by-step explanation:
to calculate area its pie * diameter with the diameter in this question being 1.5 and when it says to the nearest hundredth it means to the second away from the point
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)
