Answer:
11/29
Step-by-step explanation:
Answer:
d–intercept is simply the value of t when d equals zero. Which this case is when he reaches it his destination.
<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.
Find the scale factor of the height:
6.5cm / 2.5cm = 2.6
Multiply the known pages by the scale factor:
150 x 2.6 = 390 pieces of paper.
Answer: the company shipped 21,696 ball bearings.
Step-by-step explanation:
Each box contains 48 balls bearings and the company shipped 452 boxes, so it is a simple multiplication 452 times 48 = 21,696