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Rom4ik [11]
3 years ago
11

In which quadrant does the terminal side of a 118° angle lie?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0
We know that
The angle starts from the positive x axis direction and goes in the anti-clockwise direction: 
<span>so
angles between 0 and 90 degrees are in the I quadrant. </span>
angles between 90 and 180 degrees <span>are in the II quadrant
</span>angles between 180 and 270 degrees are in the III quadrant
angles between 270 and 360 degrees are in the IV quadrant

angle 118 degrees <span>It is between 90 and 180 degrees
</span>
therefore

the answer is
II quadrant
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A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening
-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving  a system of linear equations.

First we write the system equations :

C+S+A=750

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

3C+5S+7A=3450

This equation represents the totaled receipts.

The system :

C+S+A=750\\3C+5S+7A=3450

has the following associated matrix :

\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]

By performing elementary matrix operations we find that the matrix is equivalent to

\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]

The new system :

C-A=150\\S+2A=600

Working with the equations :

C = 150 + A\\S = 600-2A

Our solution vector is :

\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]

For example :

If 0 adults attended ⇒ A = 0

C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

S = 600 -2A

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

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3 years ago
Mrs. Lane took a survey of the types of pants her students were wearing. She collected the data: jeans 14, shorts 9, and capris
astra-53 [7]
36%
14+9+2=25
9/25=.36
3 0
3 years ago
Marty started a lawn mowing business. He kept track of his expenses and earnings in a table.
kolezko [41]
40+35.5 = 75.5
49.99 + 8.79 = 58.78
$16.72 profit


8 0
3 years ago
Read 2 more answers
Half the difference of eight times a number and twelve
iris [78.8K]

Answer:

\frac{8x-12}{2}

Step-by-step explanation:

4 0
3 years ago
Can you try to solve this plz
Nostrana [21]

Answer:

50 dgrees

Step-by-step explanation:

staruight line is 180 so 180 minus 130 is 50

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