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ollegr [7]
3 years ago
12

What is the side length of the largest square that can fit into a circle with a radius of 5 units?

Mathematics
1 answer:
Mariana [72]3 years ago
5 0
So 1st consider that it's a square! That's very important. So for a square, all 4 sides are equal.

And now considering that the given information is the diameter. So any angle made at the circle extended from the 2 points of diameter gives an angle of 90°

Now consider one triangle. So we already know that 2 sides of the triangle are equal (because they are 2 sides of a square) , has a side of 10 (diameter) and and angle of 90°. So remaining 2 angles are 45°

Now solve it by applying

\sin(45) \: \: \: \: = x \div 10 \\ (1 \div \sqrt{2} ) = (x \div 10) \\ 10 \div \sqrt{2} \: = x
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One dozen eggs cost $1.98. If the charge at the register for only eggs, without tax, was $11.88, how many dozen were purchased?
inysia [295]

Answer:

They purchased 6 dozen eggs

Step-by-step explanation:

The total cost is the cost per dozen times the number of dozen purchased

total cost = 1.98 * n  where n is the number of dozen

11.88 = 1.98n

Divide each side by 1.98

11.88/1.98 = 1.98/1.98 * n

6=n

They purchased 6 dozen eggs

7 0
3 years ago
Using a compass, construct an accurate copy of triangle DEF. Check that EF = 4.6 cm. ​
MaRussiya [10]

Step-by-step explanation:

construct 90° then measure 4.6 cm and draw a line from F to D

5 0
2 years ago
Mr. Chang’s class has 28 students, 4/7 of whom are girls. Which equation shows how to determine the number of girls in Mr. Chang
mars1129 [50]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
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Lynn wants to serve hamburgers at her birthday party if hamburger buns are sold in packages of 8 and hamburger patties are sold
WARRIOR [948]

everyone will get 2 burgers i got this answer by multiplying 8 and 6 and then i divided it by 24 and i got 2



                                                    hope it helps

3 0
3 years ago
Ten times a number increased by eighty four equals 194. what is the number
steposvetlana [31]

Answer: x = 11

Step-by-step explanation:

10x+84=194

10x = "10 times a number"

+84 = "increased by eighty four"

=194 = "equals 194"

10x+84=194

Subtract 84

10x = 110

Divide by 10

x = 11

<em>Hope it helps <3</em>

4 0
3 years ago
Read 2 more answers
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