Answer:
340 degrees
Step-by-step explanation:
So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).
So the circumference of a circle = 2pi(r)
This means:
6 = 2pi(r)
Which means that
r = 6/2pi or r = 3/pi
Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:
Arc length is defined by: length = θr
Where θ is our angle value.
So lets plug in:
Multiply by pi to get:
Divide by 3 to get that:
θ = 17pi/9
So if we convert that from radians to degrees we get 340 degrees.
Answer:
Step-by-step explanation:
The question lacks appropriate diagram. Find the diagram attached.
Slope is the change in coordinate of the y coordinate to the x coordinate.
Mathematically, slope m = ∆y/∆x
From the diagram ∆y is the same as 3 (along the vertical) while ∆x is the same as 1 (along the horizontal)
m = ∆y/∆x = 3/1
∆y/∆x = 3/1
y/x = 3/1
Cross multiply
y × 1 = 3 × x
y = 3x
Hence the slope of the line is y = 3x
Step-by-step explanation:
Given
(2x + 3 )² - (2x + 3) (x - 5)
= 4x² + 6x + 9 - ( 2x (x - 5) + 3(x - 5 ))
= 4x² + 6x + 9 - ( 2x² - 10x + 3x - 15 )
= 4x² + 6x + 9 - 2x² + 10x - 3x + 15
= 2x² + 13x + 24
Hope it will help :)
we know that
speed = (total distance)/(total time)
so, total distance =60+180+540+660
total distance =1440 mi
total time =10+30+90+110
total time =240 min
now, we can change time into hours
total time =
total time =4 hours
now, we can find speed
speed of the plane in miles per hour is 360 mph...........Answer
