Recall that two shapes are congruent if they have the same shape and size. When two shapes have the same shape but different sizes, we call the shapes similar. You can also think of similar objects or shapes as scaled versions of each other.
Using a linear function, we have that:
a) The fixed cost is of $10.
b) The equation is: C = 10 + 12d.
c) The cost of an 18 km trip is $226.
d) The distance traveled is of 20 km.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:
C(d) = 12d + b
70 = 60 + b
b = 10.
Hence the equation is:
C(d) = 12d + 10.
For a trip of 18 km, d = 18, hence the cost is:
C(12) = 12 x 18 + 10 = $226.
When the cost is of $250, the distance is found as follows:
250 = 12d + 10
12d = 240
d = 240/12
d = 20 km.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
6.6h
Step-by-step explanation:
- So it takes 5.5 hours going at a speed of 60 miles per hour, multiply these two and we get a distance of 330 miles
- Use this distance to find the time if speed is 50 miles per hour, so time is derived by dividing the distance by the speed
- 330 miles divide by 50 miles per hour gives 6.6 hours
A linear function is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. For example, a common equation,
y
=
m
x
+
b
, (namely the slope-intercept form, which we will learn more about later) is a linear function because it meets both criteria with
x
and
y
as variables and
m
and
b
as constants. It is linear: the exponent of the
x
term is a one (first power), and it follows the definition of a function: for each input (
x
) there is exactly one output (
y
). Also, its graph is a straight line.
Answer:
4.02°
Step-by-step explanation:
The angle of descent can be obtained using trigonometry ;
Since we have a right angled triangle ;
Let's use the relation:
Sin θ = opposite / hypotenus
Hypotenus = 2.7 miles
1 mile = 5280 feets
2.7 miles = (2.7 * 5280) = 14256 feets
Sin θ = 1000 / 14256
Sin θ = 0.0701459
θ = sin^-1(0.0701459)
θ = 4.0223674
