Question Estimate the perimeter of the figure to the nearest whole number.

Mathematics

1 answer:

Ann [662]2 years ago

3 0

Answer:

The perimeter of the pentagon ≅ 19 units (approximately)

Step-by-step explanation:

Clockwise, starting from the base of the pentagon, we have:

The base of the pentagon or bottom side ≅ 4 units

2nd side ≅ 3.75 units

3rd side ≅ 3.75 units

4th side ≅ 3.75 units

5th side ≅ 3.75 units

In consequence,

Perimeter of the pentagon ≅ 4 + 3.75 + 3.75 + 3.75 + 3.75

The perimeter of the pentagon ≅ 19 units

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Answer:

$\, {20 \choose 10} - {15 \choose 10}$

Step-by-step explanation:

We can find the total amount of ways at least a woman receives a coupon by calculating the total amount of possibilities ot distribute the coupon and substract it to the total amount of possibilities to distribute 10 coupons to the 15 men (this is the complementary case that at least a woman receives a cupon).

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- To calculate the total amount of possibilities to distribute the coupons among the 15 men, we need to make the same computation we made above but with a set of 15 elements instead of 20. This gives us $\, {15 \choose 10} = \frac{15!}{10!5!}$ possibilities.