A mixed number of the form 
can be turned into an improper fraction by using the fact that a mixed number is really het whole number plus its fraction part, so
Then do the usual procedure for adding fractions via common denominator.
For example, to convert the mixed number 
into an improper fraction, we have
To add 
, we need 
to have a denominator of 4, so we multiply the numerator and denominator by 4 to get
Therefore,
Answer:
2. is the answer,
Step-by-step explanation:
Answer:
you lost me at composite
Step-by-step explanation:
Have a good day
The answer is v=5x^2-100x+500. First, since we are finding the volume of a square you already know that the equation for a square is volume= length*width*height. Because 5 inches was cut off from each side, that means that each side is now 10 inches shorter than it originally was. So, then you substitute the values into the formula. So the length is x-10 and the width is also x-10 and the height is 5in. Then you write the formula like this (x-10)(x-10)5. Second, you substitute the values into the formula. Since there are 2 x's that would make x^2 and add that to 5 that would make 5x^2. Then you multiply -10*10=-100. Finally, you multiply -10*-10-5=500. Then you add them all together to get 5x^2-100x+500
<h3>Given</h3>
trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8
<h3>Find</h3>
the area of PSTK
<h3>Solution</h3>
It helps to draw a diagram.
∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as
... KS² = PS² + KP²
... 13² = PS² + 12²
... PS = √(169 -144) = 5
This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is
... A = (1/2)(b1 +b2)h
... A = (1/2)(12 +8)·5
... A = 50
The area of trapezoid PSTK is 50 square units.
