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2 years ago

5. A metal ornament is being designed such that its perimeter is created by four identical three-quarter circles

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

4 0

Answer:

(a) 12π in

(b) 53.5 in

Step-by-step explanation:

In the figure attached, the ornament is shown

(a) four three-quarter circles is equivalent to 4*3/4 = 3 circles. The perimeter of a circle is the total length of the circular portions.

Perimeter of each circle: 2*π*r

The radius is 2 in long, then for 3 circles:

Perimeter = 3*2*π*2 = 12π in

(b) Perimeter of square: 4*side length

The side length of the square is 4 in, then:

Total length of wire needed = 4*4 + 12π = 53.5 in

total weight of the ornament = 1.8 grams/in * 53.5 in = 96 grams

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Two students from a group of eight boys and 12 girls are sent to represent the school in a parade. If the students are chosen at

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Answer:

Step-by-step explanation:

* Lets explain how to find the probability of an event

- The probability of an Event = Number of favorable outcomes ÷ Total

number of possible outcomes

- P(A) = n(E) ÷ n(S) , where

# P(A) means finding the probability of an event A

# n(E) means the number of favorable outcomes of an event

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* Lets solve the problem

- There is a group of students

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∴ There are 8 + 12 = 20 students in the group

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∴ The probability of not girls = 1 - P(girls)

∵ The were 20 students in the group

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∴ The probability of chosen a first girl = 12/20

∵ One girl was chosen, then the number of girls for the second

choice is less by 1 and the total also less by 1

∴ The were 19 students in the group

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NOTE THIS IS AN EXAMPLE:

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Here's what we know:

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We have a value for s, so plug it into the first equation:

(g + 5)t = 7

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Isolate g so that we can plug that variable value into the equation:

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Answer:

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But instead of finding all these probability we find probability of student having no allergy.i.e., 0 student then subtract it from 1(total probability)

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