Answer:
6.0'ft
Step-by-step explanation:
5 x 1.2 = 6
5 feet is how tall it is initially the 1.2 is the original height plus 20%
Answer:
132.6 profit
Step-by-step explanation:
13 plus 30 percent
$16.9 times 40
$676
16.9 - 30%
$11.83 times 20
$236.6 plus 676
$912.6 - 13 × 60
$912.6 - $780
132.6 profit
K^8 • K^9 = K^(8+9) = K^17
There are three outcomes of 4 out of eighteen outcomes, so the fraction of angle of spinner numbered 4 is
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:
We use the distance formula to find the distance between coordinates:
3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²] = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28 --> eqn 1
The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2
Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1
So, the second equation is
y = 1/2x -1 or x = 2 + 2y --> eqn 2
Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28
Solving for y,
y = -2
x = 2+2(-2) = -2
Therefore, the coordinates of point A is (-2,-2).
