The circumference of a circle is pi x r^2, therefore, pi x 1.5^2 = 7.068583 ft. then multiply 7.0686 x $.75/per ft = $5.30
Answer:
50°
<u>In</u><u> </u><u>order</u><u> </u><u>to</u><u> </u><u>determine</u><u> </u><u>the</u><u> </u><u>unknown</u><u> </u><u>angle</u><u>,</u><u> </u><u>be</u><u> </u><u>sure</u><u> </u><u>to</u><u> </u><u>use</u><u> </u><u>the</u><u> </u><u>total</u><u> </u><u>sum</u><u> </u><u>of</u><u> </u><u>1</u><u>8</u><u>0</u><u>°</u><u> </u>
120° - 180°= <em><u>60°</u> </em>( this give you the red side inside the triangle)
Then you simple add the two number inside the triangle
<em><u>6</u><u>0</u><u>°</u></em> + 70° = <em><u>130°</u></em>( then you use this to find the missing corner by subtracting from 180°)
180°- <u>1</u><u>3</u><u>0</u><u>°</u> = 50° this is your missing angle X"
To prove it simple add all the 3 angles inside the triangle add up to 180°
<u>6</u><u>0</u><u>°</u> + <u>7</u><u>0</u><u>°</u> + <u>5</u><u>0</u><u>°</u> = <u>1</u><u>8</u><u>0</u><u>°</u>
<u>X</u><u> </u><u>=</u><u> </u><u>5</u><u>0</u><u>°</u>
Its a right angled triangle. You have C and have B all you need to find is A. usually for a question like this you would use the Pythagorean theorem which is A2+B2=C2 but since we already have c we will use C2-B2=A2
Now we fill in the values. (21)2-(9)2=A2
441-81=360^2 so now with the 360^2 we have to squareroot it so the square root of 360 is 18.973f
Answer:
(4, -3)
Step-by-step explanation:
The system of equations can be described a number of ways. One possible description is "a consistent pair of linear equations in two variables."
Perhaps you want to know the solution to this system of equations. I find it easiest to graph them. The attached graph shows the solution to be ...
(x, y) = (4, -3)
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You can also use "elimination" to simplify the system to a single equation in a single variable. Adding 4 times the second equation to 3 times the first will do that.
3(5x +4y) +4(2x -3y) = 3(8) +4(17)
23x = 92 . . . . . simplify
x = 4 . . . . . . . . divide by 23
Substituting this value into the first equation, we have ...
5(4) +4y = 8
5 +y = 2 . . . . . . divide by 4
y = -3 . . . . . . . . subtract 5
The solution is (x, y) = (4, -3).