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
Answer:
x = 4
Step-by-step explanation:
I don't know what you mean by sketch pad but here is the working out
4x + 4 = 20
-4 -4
4x = 16
÷4 ÷4
x = 4
Hope this helps :)
Answer:
Step-by-step explanation:
b. 1000 messages: 30 dollars
1,725 messages: 51.75
c. 2,000
2,500
600
b. 37.5
I cant do the rest because they have graph stuff :)
Answer:
- 13x² - 19x + 23
- -16x +17
Step-by-step explanation:
1 . (4x² - 9x + 16) + (7 + 9x² - 10x)
4x² - 9x + 16 + 7 + 9x² - 10x
13x² - 19x + 23
2 . (-2x + 6) - (14x - 11)
-2x + 6 - 14x + 11
-16x +17
