Circumference = pi *d
250 = pi * d
divide each side by pi
250/pi = d
pi is approximately 3.14
250/3.14 = d
79.62 = d
the diameter is approximately 79.62 ft
Answer:
x = 32 degrees
Angle ABC (left one): 153 degrees
Angle CBD (right one): 27 degrees
Step-by-step explanation:
We know that the total angle will be 180 degrees, as it's a continuous straight line.
We can set the sum of our 2 angles equal to 180 degrees and solve for x.
(4x + 25) + (x - 5) = 180
4x + 25 + x - 5 = 180
4x + x + 25 - 5 = 180
5x + 20 = 180
5x = 160
x = 160/5 = 32
x = 32
Angle ABC:
4x + 25 = 4 * 32 + 25 = 128 + 25 = 153
153 degrees
Angle CBD:
x - 5 = 32 - 5 = 27
27 degrees
We can confirm this by adding the 2 angles together. We should get 180 degrees.
153 + 27 = 180
Checks out!
65 is the answer. m = slope = delta y / delta x
delta y = 520 - 325
delta x = 8 - 5
Be well.
Answer: x = -0.2651 and y = -0.9759
Step-by-step explanation:
Solution by substitution method
8x+5y= -7
-7x+6y= -4 = 7x-6y=4
Suppose,
8x+5y=-7→(1)
7x-6y=4→(2)
Taking equation (1), we have
8x+5y= -7
⇒8x= -5y -7
⇒x= -5y-7 / 8 →(3)
Putting x= -5y-7 / 8
in equation (2), we get 7x-6y=4
7(-5y-7/8)-6y=4
⇒-35y-49-48y=32
⇒-83y-49=32
⇒-83y=32+49
⇒-83y=81
⇒y= 81 / -83
⇒y= -0.9759→(4)
Now, Putting y= -0.9759 in equation (3), we get
x= -5y-7
x= -5(-0.9759)-7/8
⇒x= 4.8795-7/8
⇒x= -2.1205/8
⇒x= -0.2651
∴x= -0.2651 and y = -0.9759
