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Afina-wow [57]
3 years ago
15

When calculating the circumference of a circle, sometimes the radius is given instead of the diameter. What is the relationship

between radius and diameter?
a. radius is twice the diameter
B. diameter is half the radius
C.diameter is twice the radius
D.no relationship, cant find circumstance with radius ​
Mathematics
2 answers:
vaieri [72.5K]3 years ago
4 0

Answer:

Answer: C) diameter is twice the radius

Step-by-step explanation:

edge2021

alex41 [277]3 years ago
3 0
The diameter is double the size of the radius
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Nezavi [6.7K]
A solution for a pair of lines means that they are equal to each other. This occurs when they instersect. Since the lines have the same slope, but are not the same line, they are parallel, so they will never intersect. This means there are zero solutions.
Hope this helps!
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Design a Roller Coaster Portfolio
scoray [572]

1) The domain is [0,300]. The range is [0,250]

2) The slope for the initial climb is 3.57. The equation of the line is y=3.57 x

3) The rate of change of the second hill is -1.4

4) The rate of change of the third hill is -2.1

5) The blue hill is steeper

6) It is not a function

Step-by-step explanation:

1)

The domain of a function is the set of values of x (the input) for which the function itself is defined.

Instead, the range of a function is the set of values of y (the output) that the function can take.

To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between

x = 0 and x = 300

So, the domain is [0,300].

To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between

y = 0 and x = 250

So, the range is [0,250].

2)

The slope of a function in a certain range is given by

m=\frac{\Delta y}{\Delta x}

where

\Delta y is the change in the y-coordinate

\Delta x is the change in the x-coordinate

For the initial climb (pink line), we have:

\Delta y = 250 - 0 = 250\\\Delta x = 70 - 0 = 70

Therefore, the slope in this part is

m=\frac{250}{70}=3.57

We can now write the equation of the line in the form

y = mx + b

where b is the y-intercept: since it is zero, the line has simply the form

y=mx \rightarrow y = 3.57 x

3)

Again, to calculate the slope of the hill, we use:

m=\frac{\Delta y}{\Delta x}

where

\Delta y is the change in the y-coordinate

\Delta x is the change in the x-coordinate

For the green hill, we have:

\Delta y = 60-200 = -140

\Delta x = 300-200 = 100

So the rate of change is

m=\frac{-140}{100}=-1.4

4)

As before, the rate of change of the hill is

m=\frac{\Delta y}{\Delta x}

For the blue hill, we have:

\Delta y = 30-230 = -300

\Delta x = 200-60 = 140

So the rate of change is

m=\frac{-300}{140}=-2.1

5)

To know which hill is steeper, we need to compare the magnitude of their rate of change.

In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.

For the green hill:

|m| = 1.4

For the blue hill:

|m|=2.1

We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.

6)

A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).

This means that a function cannot have multiple values of y for the same x (the input).

By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.

Learn more about functions:

brainly.com/question/3511750

brainly.com/question/8243712

brainly.com/question/8307968

#LearnwithBrainly

5 0
3 years ago
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yulyashka [42]
-3 -2 -1 0 1 2 3. If that’s confusing, it’s 0.
8 0
3 years ago
Solve ln(6x-1) = -4 for x
Reika [66]

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x

=

−

1

2

Decimal Form:

x

=

−

0.5

Step-by-step explanation:

5 0
3 years ago
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Find the length of the major arc in RED. Round your answers to the nearest tenth.
scoray [572]

Answer:

52.4

Step-by-step explanation:

Arc length = 2πr(θ/360)

r = 10

θ = 300°

Arc length = 2π(10)(300/360) = 20π(0.8333) = 16.666π ≈ 52.36

4 0
2 years ago
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