Answer:
$9.80
Step-by-step explanation:
28=(2+x)+x
-2 -2
_________
26=x+x
26=2x
Divide both by 2
13=x
length=15 width=13
Hey You!
Ten to the power of two = 100
So, when 42.6 is divided by 100, Sue should move the decimal 2 places to the left (before the 4).
42.6 ÷ 100 = 0.426
Answer: The Expression is Equivalent, However, NOT completely factored.
Step-by-step explanation:
3x^2 - 12
Following:
3 ( x^2 - 4 )
Factor:
3x^2 - 12
Factor Out Common Term 3:
3 ( x^2 - 4 ) = 3 (x^2 - 4 )
Factor:
x^2 - 4
( x + 2 ) ( x - 2 )
Answer:
3 ( x + 2) ( x - 2)
Hence, The Expression is Equivalent, However, Wasn't Completely Factored.
Hope that helps!
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
