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GalinKa [24]
3 years ago
12

The figure below shows a shaded rectangular region inside a large rectangle:

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

Step-by-step explanation:

The formula for determining the length of a rectangle is expressed as

Area = length × width

The large rectangle has a length of 10 units and width 5 units. The area of the large rectangle would be

10 × 5 = 50 units²

Inside this rectangle is a smaller rectangle of length 4 units and width 2 units. The area of the smaller rectangle would be

4 × 2 = 8 units²

Probability is expressed as favorable outcome/total number of possible outcomes

The region that is not shaded grey is

50 - 8 = 42 units²

The probability that a point chosen inside the large rectangle is not in the shaded region is

42/50 = 0.84

Converting to percentage, it becomes

0.84 × 100 = 84%

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The answer to this question is 10. The working out is shown in the image attached.

*** Sorry instead of writing 170 I wrote 270 for the big angle.. other than that it's correct

or another way to solve this is....

we know that a straight line is 180 degrees and the angle APD is 170 all we need to do is subtract 170 from 180 to get the answer of DPB

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