Answer:
striped
Step-by-step explanation:
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
Absolute values are a way of finding a distant from zero, which means there will be 2 answers; one will be positive, and the other will be negative.
|<em>3x - 4</em>| = 5<em>and</em> |3<em>x - 4</em> = a^5 Because you need 2 answers, you have to make 5 positive and negative.
Another way to write this equation would be...
5=|3x-4|=—5
Now lets continue...
5=3x-4=—5
Add 4 to both sides...
9=3x=—1
Now divide by 3...
3=x= -1/3
So the solution is...
X={-1/3 3}
I re-orders as 4,5,5,7,8,8,8,10,10.
Mean 7.2222222222222
Median 8
Mode 8
Range 6
Minimum 4
Maximum 10
Count n 9
Sum 65
Quartiles Quartiles:
Q1 --> 5
Q2 --> 8
Q3 --> 9
Interquartile
Range IQR 4
Outliers none
Answer:
3 3/5 + 1 1/4 = <u>4 17/20</u>
7/8 + 1/12 =<u> 23/24</u>
8/9 - 2/5 = <u>22/45</u>
5 1/4 - 2 2/3 = <u>2 7/12</u>
Step-by-step explanation:
3 3/5 + 1 1/4
First convert into improper fractions
= 18/5 + 5/4
Now find the common denominator
72/20 + 25/20 =
97/20
Now simplify
4 17/20
<u>Next problem:</u>
7/8 + 1/12
find the common denominator
21/24 + 2/24 =
23/24
<u>Next problem:</u>
8/9 - 2/5
find the common denominator
40/45 - 18/45 =
22/45
<u>Next problem:</u>
5 1/4 - 2 2/3
First convert into improper fractions
21/4 - 8/3
find the common denominator
63/12 - 32/12 =
31/12
Now simplify
2 7/12
