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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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Danielle earns a 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salary
jeka94

Danielle earned $979.75 last week.

Step-by-step explanation:

Base salary = $625 per week

Commission = 8.25%

Cost of items sold = $4300

Amount of commission = 8.25\% \of \cost\ of\ sold\ items

Amount\ of\ commission=\frac{8.25}{100}*4300\\Amount\ of\ commission=\frac{35475}{100}\\Amount\ of\ commission=\$354.75

Total earning last week = Base salary per week + amount of commission

Total\ earning = 625+354.75\\Total\ earning=\$979.75

Danielle earned $979.75 last week.

Keywords: Commission, Percentage

Learn more about percentages at:

  • brainly.com/question/5922969
  • brainly.com/question/6013189

#LearnwithBrainly

4 0
3 years ago
If Nathan scoops 8.5 cups of ice cream in 2 minutes, how many scoops of ice cream can he do in 8 minutes?
lozanna [386]

Answer:

34

Step-by-step explanation:

in one minute he scoops 4.25 cups which you get by dividing 8.5 and 2 and then you multiply that by 8 and you get 34 cups

8 0
3 years ago
Read 2 more answers
How do you integrate arctan(x dx? i think that if you simplify the integral you get:?
Temka [501]
Integration by parts will help here. Letting u=\arctan x and \mathrm dv=\mathrm dx, you end up with \mathrm du=\dfrac{\mathrm dx}{1+x^2} and v=x. Now

\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du
\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx

For the remaining integral, setting y=1+x^2 gives \dfrac{\mathrm dy}2=x\,\mathrm dx, so

\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C

Putting everything together, you end up with

\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C
6 0
3 years ago
Mr. Gurney purchased 3 dozen
DedPeter [7]
If mr Gurney purchased 5 dozen eggs it would be 9.55
8 0
3 years ago
What is the distance between points A and B? <br>A. 1/3<br>B. 1/2<br>C. 1 1/3<br>D. 1 1/2<br><br>​
Savatey [412]

Answer:

A. 1/3

Step-by-step explanation:

From 1 to ___, ____, and 2 is half and half that would be 2 and a half. the only solution would be 1/3

4 0
2 years ago
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