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
Given,
y = -3x+1 (EQ1)
y = 2x-4 (EQ2)
Equate EQ1 and EQ2
EQ1 = EQ2
-3x+1 = 2x-4
-3x-2x = -4-1
x = 1
y = -3x+1
y = -3(1)+1
y = -3+1
y = -2
(1, -2)
~B
Answer:
$7.62 per hour
Step-by-step explanation:
Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).
Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.
Where,
- F is the future value (what we want to find)
- P is the present rate ($6.5)
- r is the rate of growth, in decimal (2% growth means 0.02)
- t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)
<u>Now plugging in all the info, we get the value of F:</u>
Thus, after 2 years, Heather's hourly rate will be $7.62
Answer:
2
Step-by-step explanation:
Rise is 10 run is 5 Rate of Change is rise over run.
