Answer:
25
Step-by-step explanation:
3 x 3 = 9
4 x 4 = 16
9 + 16 = 25
<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.
9514 1404 393
Answer:
{5, 10, 15, 20}
Step-by-step explanation:
Multiples of 5 are of the form 5n, where n is an integer. The ones of interest will satisfy ...
0 < 5n < 23
0 < n < 4.6
That is, the multiples of 5 we want are for values of n that are 1 through 4. The set is ...
5 × {1, 2, 3, 4} = {5, 10, 15, 20}