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2 years ago

Find the Least Common Multiple (L.C.M) and Highest Common Factor (H.C.F) of 20 and 30.

Mathematics

1 answer:

Archy [21]2 years ago

8 0

Answer:

LCM: 60

HCF: 10

Step-by-step explanation:

Listing Multiples

LCM:

Multiples of 20:

20, 40, 60, 80, 100

Multiples of 30:

30, 60, 90, 120

Therefore,

LCM(20, 30) = 60

----------------------------------------

Factorization

HCF:

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 10

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2 years ago

Joel gave one fourth of his 236 postage stamps to his sister

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3 years ago

PLZ HELPPP

Alexeev081 [22]

V=vanila
c=chocolate

4v+1c=45
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mulitply 2nd equation by -1 and add to top one

-v-c=-27
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21 choc and 6 van

A.
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c=number of chocolate wafers bought

B. 21 chocolate and 7
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3 years ago

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yulyashka [42]

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3 years ago

Find the volume, V, of the solid obtained by rotating the bounded region in the first quadrant enclosed by the graphs of

Delicious77 [7]

Answer:

$\frac7{15}\pi$

Step-by-step explanation:

First of all, let's draw the two curves. First one (red) is a classic parabola, second (blue) is a similar curve with a tigher form. Imagine is made with paint so it's not high quality. The intersection between the two curves are easily found by solving a system of equations and are (0;0) and (1;1). At this point, the volume comes from the rotation of the shaded area, and can be obtained as difference from the rotation of the blue curve minus the red curve.

Remembering that the volume of the solid of revolution bound between $y=0; y=f(x); x=a; x=b$ is given by $\pi \int_a^b [f(x)]^2dx$ , in our case the volume is given by the expression

$\pi [\int_0^1 (\sqrt[4]{x})^2-(x^2)^2 dx] = \pi[\int_0^1 \sqrt{x}-x^4 dx] = \pi[\frac23x^\frac32 -\frac15 x^5 ] _0^1 = \pi (\frac23 -\frac15) = \frac7{15}\pi$

4 0

2 years ago

Find the Least Common Multiple (L.C.M) and Highest Common Factor (H.C.F) of 20 and 30.​

Find the Least Common Multiple (L.C.M) and Highest Common Factor (H.C.F) of 20 and 30.