Solid circle over 3 line going left
Answer:
The length of the chord is 16 cm
Step-by-step explanation:
Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions
From the first part of the question, we can get the radius of the circle
The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle
Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
r^2 = 8^2 + 6^2
r^2= 64 + 36
r^2 = 100
r = 10 cm
Now, we want to get a chord length which is 6 cm away from the circle center
let the half-portion that forms the right triangle be c
Using Pythagoras’ theorem;
10^2 = 6^2 + c^2
c^2 = 100-36
c^2 = 64
c = 8
The full
length of the chord is 2 * 8 = 16 cm
The answer would be -4 because if you do -4 times 2x then you would get -8x. Then if you did -4 times -3 you would get 12. (A negative times a negative equals a positive)
-24 - I didn’t explain it in words, but the step by step is in the image!
2.7 • 2 because it’s twice a day. He’s waking 5.4 miles daily, 5.4 • 360 = 1,944 miles yearly.
