Answer: B.pi/2
ABCD is a square
=> Δ ABD is a isosceles right triangle at A
using pythago theorem, we have:
AB² + AD² = BD²
=> 2AD² = 4
⇔ AD² = 2
⇒ AD = √2
through O, draw EF parallel to AD and BC
=> EF is diameter
because EF//AD => EF = AD = √2 (because circle O is inscribed the square ABCD)
=> the area of the circle is ![S=\frac{(\sqrt{2})^{2} }{4}.\pi =\frac{\pi }{2}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B%28%5Csqrt%7B2%7D%29%5E%7B2%7D%20%20%7D%7B4%7D.%5Cpi%20%3D%5Cfrac%7B%5Cpi%20%7D%7B2%7D)
Step-by-step explanation:
Okay, so there's a number rounded to the nearest million, in this case 2 million. So this tells me that the number of visitors is between 1,500,000 and 2,499,999. The reason why 1,499,999 doesn't count is because the hundred thousands digit is not 5 or above, so it doesn't count. It would round down to 1 million, not 2 million. The reason why 2,500,000 doesn't count, is because the hundred thousands digit is 5, so that rounds to 3 million, not 2 million. The greatest number of visitors that visited the aquarium has to be 2,499,999, because that's one digit away from 2.5 million, and the hundred thousands digit is a 4, not 5. The answer is 2,499,999
Answer:
6g+6h
Step-by-step explanation:
Hi there!
Well distributive property is basically just multiplying out the parenthesis.
6(g)+6(h)
6g+6h
Hope this helped! Have a great day! ^u^
There are 600 students including the seventh and eighth graders at the party.
This problem uses the concept of percentages to define the conditions that are laid in front of us.
Let the original number of students be S , and the number of seventh graders be = 0.60S
We know that percent is used to convey the mathematical term of a fraction multiplied by 100.
Total students after 20 eighth graders arrive = S + 20
And we have that
Number of seventh graders / total number of students = 58%
.60S / [ S + 20 ] = .58 we multiply both sides by S + 20
0.60S =0 .58 [ S + 20]
.60S = .58S + 11.6 we subtract 0.58S from both the sides
0.02S = 11.6 we divide both the sides by .02
S = 11/6 / 0.02 = 580
So the total number of students = 580 + 20 = 600 .
Hence there are 600 students at the party at that time.
To learn more about students visit:
brainly.com/question/17332524
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Answer:
2-3x=-6
We simplify the equation to the form, which is simple to understand
2-3x=-6
We move all terms containing x to the left and all other terms to the right.
-3x=-6-2
We simplify left and right side of the equation.
-3x=-8
We divide both sides of the equation by -3 to get x.
x=2.66666666667
God bless you and have a beautiful rest of the day!