Need help with math plz

see below

Step-by-step explanation:

1). 8 radii are shown, there are 8 straight lines going from the center of the circle to the edge of the circle

2) diameter = d, radius = r. given radius r ,

d = 2r

d = 2(14.5) = 29

the diameter is 29 cm

3)using d = 2r

7x+5 = 2(13) = 26

7x = 21

x = 3

4)the length of the diameter is increased 3 times

d1 = 2r,

d2 = 2(3r) = 6r

we see that the diameter whose radius is 3 times longer is 3 times larger than the diameter whose radius is 1 times as long.

5) they can find the diameter of the circular path, then find the radius, go from one point on the circular path and go r distance

a reflection across the x axis and a 90 degree rotation left and right.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west