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:
there's a blue crown that shows up when either 2 people already answered or if it's been a few days since only 1 person answered, just click that
Step-by-step explanation:
idk if u know this but apparently u gain points for marking someone brainliest, i read that somewhere but i could be wrong
<u>Answer:</u>
"It is used when you solve an equation in algebra" is the untrue statement.
<u>Step-by-step explanation:</u>
"It is used when you solve an equation in algebra."
When you solve an algebra problem, you are not using deductive reasoning. You are using the information in front of you to correctly answer.
"It is used to make broad generalizations using specific observations."
This is exactly what deductive reasoning is, you are making generalizations and coming up with your own conclusions through observation.
"It is used to prove basic theorems."
This is also true, you can use deductive reasoning by using your specific observations and drawing conclusions to prove the theorems.
"It is used to prove that statements are true."
Using your own observations, you can draw your own conclusions to prove what you are saying is factual.
You want to know the factor by which 3 2/3 is multiplied to get 7 1/3.
1. You can estimate that it is 2 from 7/3 ≈ 2, then check by multiplication to see if that is right.
.. 2*(3 2/3) = 6 4/3 = 7 1/3 . . . . 2 is the correct factor.
2. You can divide 7 1/3 by 3 2/3 to see what the factor is.
.. (7 1/3)/(3 2/3) = (22/3)/(11/3) = 22/11 = 2 . . . . 2 is the factor Earl used.
3. You could see how many times you can subtract 3 2/3 from 7 1/3.
.. 7 1/3 -3 2/3 = (7 -3) +(1/3 -2/3) = 4 -1/3 = 3 2/3 . . . . . subtracting once gives 3 2/3
.. 3 2/3 -3 2/3 = 0 . . . . . . subtracting twice gives 0, so the factor is 2.
4. You could add 3 2/3 to see how many times it takes to get 7 1/3.
.. 3 2/3 +3 2/3 = (3 +3) +(2/3 +2/3) = 6 +4/3 = 7 1/3
We only need to add two values of 3 2/3 to get 7 1/3, so the factor is 2.
___
We have shown methods using multiplication, division, subtraction, addition. Take your pick.
Since the equation is in slope-intercept form, we know from the definition of slope-intercept form that 6 is the y-intercept.
