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Reptile [31]
3 years ago
15

An angle measures 125 degrees. Through what fraction of a circle does the angle turn?

Mathematics
1 answer:
emmainna [20.7K]3 years ago
7 0
125/360 is the fraction

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Find the equation of a straight line passing throught the point listed and having the given gradient. Express your answer in the
Igoryamba
First let's try to find the equation in this form : <span>y = mx + c 

The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.

So equation of a line with the gradient of 3, would look like this ;

</span>y= 3x + c
<span>
Now a point that the line passes through is given, (1, 2) 

This point's x-coordinate is 1 and y-coordinate is 2.

So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.

As you know, </span>x=1 and y=2

y = 3x + c

2\quad =\quad 3\cdot 1+c\\ \\ 2\quad =\quad 3+c\\ \\ 2-3\quad =\quad c\\ \\ -1\quad =\quad c

We found c = -1 

Also in a line's equation, c is constant and it represents the line's y-intercept

So let's build the line's equation.

m=3 and c=-1

y= mx + c

y= 3x -1

We found the line's equation in this form, y= mx + c

Now let's turn it into this form, ax + by + c = 0

y\quad =\quad 3x-1\\ \\ y-3x\quad =\quad -1\\ \\ y-3x+1\quad =\quad 0\\ \\ -3x+y+1\quad =\quad 0

Final answers,

\boxed { y\quad =\quad 3x-1 }

and 

\boxed { -3x+y+1\quad =\quad 0 }

I hope this was clear enough :)




<span>


</span>
5 0
4 years ago
Read 2 more answers
At the zoo, the Spencer family bought 3 adult tickets and 2 children's tickets for $23.50.
Umnica [9.8K]

Answer:

Step-by-step explanation:

3x+2*2x=28

3x+4x=28

7x=28

/7

x= 28/7

x= $4 child ticket

adult ticket = 2x = 2*4 = 8

5 0
3 years ago
Read 2 more answers
Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What
iogann1982 [59]

Answer:

None of these choices are correct.

Step-by-step explanation:

If a bond is quoted at 99.875, it means that it is sold at 99.875%  of the face value;

Face value = 1000

Therefore, Price = 0.99875 * 1000

Price = $998.75

If Leona pays  5.5% of the selling price, it means that she is paying additional cost which will make the total cost more than the quoted price;

5.5% of 998.75 is;

0.055*998.75 = $54.93

The total cost = $998.75 +$54.93

= $1053.68

Therefore, none of the given choices is correct.

4 0
3 years ago
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What is the volume of a cylinder with base radius 3 and height 8? Either enter an exact answer in terms of \piπpi or use 3.14, f
sergiy2304 [10]
First find the area of the base, and multiply that by the height. That's the answer.

Area of the base: pi * 3*3 = 3.14*9 = 28.26
Volume of the cylinder: 28.26*8 = 226.08 cubic units
4 0
4 years ago
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How many hats did the knitter who sold 5 scarves sell?
Angelina_Jolie [31]
Zero, if she sold 5 scarves & it doesn’t say anything about hats
3 0
3 years ago
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