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torisob [31]
3 years ago
6

Compare and contrast the terms complementary and supplementary when referring to angles

Mathematics
1 answer:
sattari [20]3 years ago
8 0
Complementary angles are angles that add up to 90º. For example, 30º and 60º.

Supplementary angles are angles that add up to 180º. For example, 120º and 60º.
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Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends.
Korolek [52]

Answer: 5 pack

Step-by-step explanation:

From the question, we are informed that Sebastian bought a 30-pack of mechanical pencils and plans to give his friends an equal number of pencils to the 6 friends.

Therefore, each friend will get:

= 30 / 6

= 5 packs

4 0
2 years ago
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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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Bella’s shoe is more or less than one yard?
Luba_88 [7]
Her shoe may be about a foot, definitely not 3 feet (a yard.) A yard length shoe does not seem average or the normal size.


Therefore, Bella's shoe is less than one yard.

Hope this helps! :)
3 0
3 years ago
During winter, Detroit is colder than Boston but warmer than Minneapolis. Which inequality correctly compares the winter tempera
Nat2105 [25]
We will take one given at a time, the common place is "Detroit", so we will take it as a reference.

1- Detroit is colder than Boston, this means that:
Temperature in Detroit < Temperature in Boston .........> I

2- Detroit is warmer that <span>Minneapolis, this means that:
Temperature is </span><span>Minneapolis < Temperature in Detroit .........> II

From I and II, we can conclude that:
</span><span>Minneapolis has the lowest temperature, followed by Detroit and then Boston.

Comparing this to the choices, we will find that the correct choice is:
</span><span>2. Minneapolis's temperature < Detroit's temperature < Boston's temperature</span>
5 0
2 years ago
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Please help I need someone to help me ASAP. No trolling
nata0808 [166]

Answer:

It will be 16/8 I hope you are happy

6 0
2 years ago
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