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drek231 [11]
2 years ago
10

Find the integral of sqrt(4x-x^2)dx.

Mathematics
1 answer:
lukranit [14]2 years ago
6 0
∫ √(4x - x²) dx
= 2[(4x - x²)^(3/2)] / 3(4 - 2x)
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!!Please Help!! Find the value of z to the nearest tenth.
serg [7]

Answer:

x = 14\sqrt{2}

y = 14

z= 14\sqrt{3}

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that <em>x</em> will be the same as its respective leg, 14\sqrt{2}

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since <em>y</em> is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, <em>y</em> is 14. <em>z </em>is then 14\sqrt{3} using either Pythagorean Theorem or special right triangle properties for 30-60-90.

7 0
2 years ago
3/4x-4/5=1/2x+1 what is x?
Afina-wow [57]
<span>3/4x - 4/5 = 1/2x + 1

</span>3/4x - 4/5 = 2/4x + 1

3/4x - 2/4x = 1 + 4/5

1/4x = 9/5

x =      (9x4) / (5x1)

x = 36/5

x = 7 1/5
8 0
3 years ago
Read 2 more answers
Find the value of x. id necessary round your answer to the nearest tenth
Kobotan [32]

Answer:

see below

Step-by-step explanation:

AB = DC Given

AO = BO = OD = DC Def. of radii

ΔOAB ≅ ΔOCD SSS

x = 77° CPCTC

5 0
3 years ago
What percent of 134 is 66? (To the nearest tenth of a percent)
seraphim [82]

Answer:

66 is 49.2537313% of 134

Step-by-step explanation:

so 49.26

7 0
3 years ago
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an athlete completes a race in 55.72 seconds how many times greater is the digit in the tens place than the digit in the ones pl
Inessa05 [86]
7 is 5 greater than the 2
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3 years ago
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