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3 years ago

given a and b are numbers,and a+b =180,which statement also must be true ? a=180-b , a-180=b , 360=2a+2b, a=90 and B=90

Mathematics

1 answer:

Yuri [45]3 years ago

3 0

A=180-b is same as a+b=180

because you just subtract b from both sides

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Liula [17]

Answer:

x = {-4, 4}

Step-by-step explanation:

Subtracting 3 gives ...

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Dividing by 5, we get ...

x^2 = 16

Taking the square root gives the solutions ...

x = ±4

The smaller value of x is -4; the larger value is 4.

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3 years ago

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3 years ago

The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

alexgriva [62]

<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

$V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height$

While the volume of half a sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

$V_{s}=\frac{4}{3}\pi r^3$

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$V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)$

The radius of the cylinder is the same of the radius of each half sphere. So:

$r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}$

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Answer:

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3 years ago