3 years ago

One gram equals how many milligrams?

Mathematics

1 answer:

irina1246 [14]3 years ago

8 0

1000 milligrams is equal to 1 gram

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Find the volume of the solid whose base is the circle x2+y2=25 and the cross sections perpendicular to the x-axis are triangles

ivanzaharov [21]

Triangles with height $h$ and base $b$ , with $b=h$ have area $\dfrac{b^2}2$ .

Such cross sections with the base of the triangle in the disk $x^2+y^2\le25$ (a disk with radius 5) have base with length

$b(x)=\sqrt{25-x^2}-\left(-\sqrt{25-x^2}\right)=2\sqrt{25-x^2}$

i.e. the vertical (in the $x,y$ plane) distance between the top and bottom curves describing the circle $x^2+y^2=25$ .

So when $x=4$ , the cross section at that point has base

$2\sqrt{25-16}=6$

so that the area of the cross section would be 6^2/2 = 18.

In case it's relevant, the entire solid would have volume given by the integral

$\displaystyle\int_{-5}^5\frac{b(x)^2}2\,\mathrm dx=4\int_0^5(25-x^2)\,\mathrm dx=\frac{1000}3$

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3 years ago

Which set of side lengths forms a right triangle?

Pani-rosa [81]

Answer:

15,36,39

Step-by-step explanation:

15² + 36² = 39²

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3 years ago

Solve the equation 4(x - 1) = 13 for x

Masja [62]

Answer x=4.25 or 4 1/4

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3 years ago

Read 2 more answers

Part a: if angle a and angle b are vertical angles, what is the value of X?

Blizzard [7]

Answer:

a. x = 8

b. m<B = 140

Step-by-step explanation:

m<A = m<B

40 = 5x

x = 8

m<A + m<B = 180

m<B = 180 - m<A

m<B = 180 - 40

m<B = 140

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3 years ago

-6b + 20 = -16<br> what is b?<br> (-6 x __) + 20 = -16

denpristay [2]

-6b = -36
Divide by -6
B is 6

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3 years ago