Positive number are on the right of the zero on the number line.
Answer:
Step-by-step explanation:
A 45 degree angle in a right triangle produces 2 equal sides. In this case z and the perpendicular line are equal. So that's were we'll start. Then you move on to the 60 degree angle to get x and y.
Finding z
z^2 + z^2 = (24√2) Combine the left
2z^2 = 24^2 * 2 Divide both sides by 2
2z^2/2 = 24^2/2
z^2 = 24^2 Take the square root of both sides
√z^2 = √24^2
z = 24
Finding x and y
The perpendicular = 24. Because it is a 60 degree angle that's given, we can do this without a calculator.
Tan 60 = opposite over adjacent
sqrt(3) = Perpendicular / z Multiply both sides by z
z*sqrt(3) = perpendicular
The above calculation tells us the perpendicular is 24
z*sqrt(3) = 24 Divide by sqrt 3
z = 24/√3
z = 24/1.73
z = 8√3
Finding x
Use Pythagoras to determine x
Perpendicular^2 + (8√3)^2 = x^2
24^2 + 8^2*3 = x^2
576 + 192 = x^2
768 = x^2
√x^2 = √768
x = 27.71
Answer: 6000+200+10+9
Step-by-step explanation:
The ones place multiplies by 1 so 9*1=9
The tens place multiplies by 10 so 10*1=10
The hundreds place multiply by 100 so 100+2=100
The thousands place multiply by 1000 so 1000*6=6000
Hope This Helps!!!
Answer:
Although the Line is included in the region, I will say the your answer is B and D
Step-by-step explanation:
The region shaded is below the Line graph, son we have a < sign, now, I can see the region including the Line graph, so I will say that the inequality should have the = sign, nevertheless no options include the =sign, so, if it is nothing missing, your answer should be:
y<x
