Answer:
<em>The area of the trapezium is 168</em>
Step-by-step explanation:
<u>Area of a Trapezoid</u>
Given a trapezoid of parallel bases b1 and b2, and height h, the area is calculated with the formula:

The trapezoid in the figure has b1=15 and b2=27. We need to find the height. If we focus on triangle BCD, we can calculate the height as the distance EC by using the Pythagora's Theorem:

The side BC can be found as half the difference of the bases:

Solving for EC:


Now we have the height, calculate the area:


A = 168
The area of the trapezium is 168
Let x be the time required to do the job when they work together.
1/x = 1/9 + 1/10 = 19/90
x = 90/19 = 4.7 hours
The probability that both parts are defective is 6/55
<u>Step-by-step explanation:</u>
Defective parts = 4
Total parts = 11
Probability of getting a defective part = 4/11
Probability of getting defective part 2nd time = 3/10
Total probability of getting defective part both the times = (4/11) (3/10)
= (12/110)
= (6/55)
The probability that both parts are defective is 6/55
Answer:
2) x=8, y=6
Step-by-step explanation:
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