9514 1404 393
Answer:
12 cm
Step-by-step explanation:
The distance to the chord is the median of an isosceles right triangle with hypotenuse 20 and leg 16. This 5:4 ratio suggests the other leg of that right triangle would make the ratios 3 : 4 : 5, so is 12.
The chords are 12 cm from the center.
_____
You can, of course, use the Pythagorean theorem. If c is half the chord length and d is the distance to the chord, you have ...
c² + d² = r²
16² + d² = 20²
d² = 400 -256 = 144
d = √144 = 12 . . . . . cm
Answer:
10.39 or 10.4
Step-by-step explanation:
Since this is a right triangle, you have the formula a squared +b squared = c squared where a and b are the legs and c is the hypotenuse. You plug in the values and you should get sqrt of 108 for x.
Answer:
4 divided by 1.
Step-by-step explanation:
im pretty sure thats right but correct me if im wrong please, and have a great day <3
Answer:
x=1+2√2 or x=1−2√2
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−6x=21
Step 1: Since the coefficient of 3x^2 is 3, divide both sides by 3.
3x2−6x
3
=
21
3
x2−2x=7
Step 2: The coefficient of -2x is -2. Let b=-2.
Then we need to add (b/2)^2=1 to both sides to complete the square.
Add 1 to both sides.
x2−2x+1=7+1
x2−2x+1=8
Step 3: Factor left side.
(x−1)2=8
Step 4: Take square root.
x−1=±√8
Step 5: Add 1 to both sides.
x−1+1=1±√8
x=1±√8
x=1+2√2 or x=1−2√2
4x+ 3 = 3(2x-5) ;x=2; x^{2} = 4
