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viktelen [127]
3 years ago
8

Of the relations graphed below, three are functions and one is not.

Mathematics
1 answer:
AlekseyPX3 years ago
7 0

Answer:

Graph B

Step-by-step explanation:

the line is at some point perpendicular to the y-axis, there is no unique y value for this x value, which contradicts the definition of a function.

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Use the law of Sines to find the missing angle of the triangle. <br> Find m
Whitepunk [10]
Ah...Trigonometry is fun!

The law of sines states:
\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that \frac{sinA}{a}=\frac{sinC}{c}

We then plug in our given values to find C

\frac{sin24}{77}=\frac{sinC}{162}
\frac{162*sin24}{77}=sinC
Solving, we get 0.8557316387. We're not done yet!

We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).

arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)

So the measure of angle C is 58.8. You could check this by reinserting it into the equation \frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}.

:)
6 0
3 years ago
Which of the following represents the formula that could be used to find the height of the cone
podryga [215]
If you know the volume then:
(3 * Cone Volume) / (PI * radius^2) = height

 
3 0
3 years ago
A toll collector on a highway receives ​$8 for trucks and ​$5 for sedans. At the end of a 3​-hour ​period, she collected ​$208.
Vilka [71]

Answer:

The number of trucks and sedans can be

(0 trucks ,26 sedans)

(8 trucks ,21 sedans)

(24 trucks ,11 sedans)

(25 trucks ,1 sedans)

(32 trucks ,6 sedans)

(16 trucks ,16 sedans)

Step-by-step explanation:

Given:

The  cost for trucks =$5

The cost for sedans  =$8

The total amount collected = $208

To Find:

Number of trucks and sedans passed through the toll booth =?

Solution:

Let the number of trucks be x and the number of sedans be y

Then

5x + 8y = 208-------------------------------(1)

By Trail and error method

5(0) + 8(26) = 208

5(8) + 8(21) = 208

5(24) +8(11) =208

5(25) + 8(1) = 208

5(32) + 8(6) =208

5(16) + 8(16) = 208

8 0
3 years ago
Explain why it is important to line up decimal points when you are adding and subtracting decimals. Use the problem 6.32 – 0.5 i
Mazyrski [523]

Answer:

Kindly check explanation

Step-by-step explanation:

When performing addition and subtraction of decimals, it is important to arrange the numbers being added or subtracted such that the decimal points are in line. This is particularly important so that the place value of the numbers are in accord.

To simplify, when then decimals are in line, then the tenth value of the first number will be added to the tenth value of the second. Without this arrangement, one might be adding the hundredth placed value to the tenth or unit value which is mathematically incorrect and will yield a wrong result.

For instance :

6.32 - 0.5

Here, when the decimal point of each number is in line, the tenth placed value of the first number (3) matches the tenth placed number of the second number (5) and all others also fall in place automatically.

____6.32

- ___0.5

________

___ 5.82

________

4 0
3 years ago
What are the two major theories of how Native American arrived in the Western Hemisphere? Which is the most popular and also exp
Virty [35]
The land bridge (Bering strait) and the crossing from Canada
4 0
3 years ago
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