Answer:
Step-by-step explanation:
By applying Pythagoras theorem in the given right triangles,
(Hypotenuse)² = (leg 1)² + (leg 2)²
a). (123.1)² = x² + (48.7)²
x² = 15153.61 - 2371.69
x² = 12781.92
x = 113.06 cm
b). (117)² = (82)² + x²
x² = 13689 - 6724
x = 83.46 mm
C). (117)² = t² + (10.3)²
t² = 13689 - 106.09
t² = 13582.91
t = 116.55 cm
1) the possibility of missing a payment and receiving interest
2) you cannot always plan ahead if you will have the money to pay off this plan
3) a lot of times you end up paying more over time than if you were to pay upfront
The correct answer is the first option
Answer:
h = a + b * t, this equation gives you the height of the candle after t hours, where:
h = height of the candle
t = hours of burning
a = the y intercept
b = the slope
Step-by-step explanation:
In your problem says that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. This means that the independent variable is t (hours of burning) and the dependent variable is h (height of the candle).
A linear function has the following form:
y = f(x) = a + bx
a is the constant term or the y intercept. It is the value of the dependent variable when x = 0.
b is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.
NOTE:
In order to find numerical values you need at least two points in order to find the slope (t1,h1), (t2,h2), with this equation:
b = ![\frac{h_{2} - h_{1}}{t_{2} - t_{1}\\ } \\](https://tex.z-dn.net/?f=%5Cfrac%7Bh_%7B2%7D%20-%20h_%7B1%7D%7D%7Bt_%7B2%7D%20-%20t_%7B1%7D%5C%5C%20%7D%20%5C%5C)
Next you find a when x = 0, y = a, where y is one of the points that you want to evaluate.
With these values you put them in this equation h = a + b * t and that's it! You will find the height of the candle after t hours.