Answer:
Speed of Jet in Still Air = 265 miles per hour
Speed of Wind = 22 miles per hour
Step-by-step explanation:
Let x be speed of jet
and c be speed of wind
We know D = RT, where
D is distance
R is rate
T is time
For first leg:
1435 miles in 5 hours, the rate is:
Rate = 287 mph
For second leg:
1215 miles in 5 hours, the rate is:
Rate = 243 mph
So 287 is with wind and 243 against wind, thus we can write:
x + c = 287
x - c = 243
Adding gives us:
2x = 530
x = 265 miles per hour [still rate]
Speed of wind:
x + c = 287
265 + c = 287
c = 22 miles per hour [speed of wind]
Because this is a triangle, all three angles put together equals 180 degrees.
We can add the angles together and set them equal to 180 to solve for the value of y.
y + y - 12 + 56 = 180
Combine like terms.
2y + 44 = 180
Subtract 44 from both sides.
2y = 136
Divide both sides by 2.
y = 68
<u>The value of y is equal to 68 degrees.</u>
Answer:
a square with a segment extending from the center to the top right vertex
Step-by-step explanation:
According to the described pattern, the shapes are all squares with a segment that's rotating in a clock-wise motion.
Starting at the top left corner, moving to the top right, then bottom right and finally bottom left.
Since the fifth figure shows this patern is starting over, it would be an accepable inference that the following shape is the same as the second shape.
In order to determine the distance in between the given points, use the following formula:
d = √((x1 - x2)² + (y1 - y2)²)
where, for this case, (x1,y1) = (-1,3) and (x2,y2) = (3,5).
Replace the values of the parameters:
d = √((-1-3)²+(5-3)²)
d = √((-4)²+(2)²)
d = √(16+4)
d = √20
d = 4.47
Hence, the distance in between A and B is 4.47 units
Answer:
No, points A and B lie on the same line, C and B lie on the same line, and A and C lie on the same line so all three points are collinear.
Step-by-step explanation:
If A=B and B=C, then A=C
In other words, they're all on the same line.
