Can someone help me with this plsssss
1 answer:
Answer:
15 cm
Step-by-step explanation:
Given:
The two cylinders shown in the figure are similar to each other.
Therefore, when two figures are similar their measures are in proportion.
So, radius and height of both the cylinders are in proportion.
Radius of both the cylinders are 2 cm and 5 cm respectively. Height of the smaller cylinder is 5 cm. Now,
Doing cross multiply, we get:
Dividing both sides by 2, we get:
Therefore, the height of the larger cylinder must be 15 cm in order to make both the cylinders similar to each other.
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<h3>Answer: 680 different combinations</h3>
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Explanation:
If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.
So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.
An alternative is to use the nCr formula with n = 17 and r = 3. That formula is
where the exclamation marks indicate factorials