Answer:
20 days
Step-by-step explanation:
Answer:
10.63
Step-by-step explanation:
<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.
Answer:
(0,1)
Step-by-step explanation:
The mid point of A(-2,2) and B(2,-4) is the coordinates of point P, which is (x,y)
Hence, the line AB = AP + PB.
At point AP: x = (-2+2)/2 = 0
also, point PB: y = (2 - 4)/2 = -1
Therefore, coordinates of point P = (0,-1)
X is the smaller number. 3x + 15 is the larger number. So x + 3x + 15 = 63. 4x + 15 = 63.
4x = 48. x = 12. (Smaller number) The larger 36 + 15 or 51.