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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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Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20 percent on the sale of one of the shares
pashok25 [27]

Answer:

The correct option is c) a loss of $8.

Step-by-step explanation:

Consider the provided information.

If the selling price of two item is same and one item sold at a profit of x % and other at a loss of x % in that case total sale result loss:

To calculate the loss use the formula: Loss\ \%=(\frac{x}{10})^2\ \%

It is given that he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, where the selling price is $96 each.

That means the total sale result will be a loss.

Now use the above formula by substitute x=20.

Loss\ \%=(\frac{20}{10})^2\ \%\\\\Loss\ \%=4\ \%

It is given that the sales price is $96 of each that means total sales price is:

$96+$96=$192

Let the cost price of the shares were x.

According to question: x-4% of x = 192

x-\frac{4}{100}\times x = 192\\\\x-0.04x = 192\\\\0.96x = 192\\x = 200

Hence, the cost price of the shares was 200.

Loss = Cost price -Sales price

Loss = $200 - $192

Loss = $8

Hence, the correct option is c) a loss of $8.

8 0
3 years ago
Plss help!!! Its rly important
Natasha_Volkova [10]
How important very important or important
5 0
2 years ago
How to multiply 8.18 times 2.8
Salsk061 [2.6K]

the answer to 8.18 x 2.8 equals 22.904

8 0
3 years ago
8. Which expression is greatest? Justify your answer.<br> a. 4 X -5<br> b. -5 + 4<br> c. -4- (-5)
vladimir1956 [14]

Answer:

c

Step-by-step explanation:

i think this is the greatest because if you solve all of the expressions you will find out that this is the greatest.

a.4×-5=-20

b.-5+4=-1

c.-4-(-5)=1

therefore 1 is the greatest so the expression c is the greatest.

I hope this helps

3 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 34 units. it's width is 6.5 units. Write an equation to determine the length of the rectangle
gayaneshka [121]
The equation would be 34x2+6.5x2
6 0
3 years ago
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