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3 years ago

Least common multiple find the least common multiple of each set of numbers 15 and 20

Mathematics

2 answers:

just olya [345]3 years ago

7 0

LCM for 15 and 20 is 60.

Here, let's use 20. Add it by 20 and you'll get 40. 15 is not a multiple of 40, so we add 20 to 40 again. 60 is a multiple of 15.

15 x 4

Hope this helped. =]

enot [183]3 years ago

5 0

Answer: 60

Step-by-step explanation:

multiples of 20: 20, 40, 60, 80 100

multiples of 15: 15, 30, 45, 60, 75

which one is similar?

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The graph of f is given in the figure to the right. Let A(x)equals=Integral from 0 to x f left parenthesis t right parenthesis

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$A(4)=-4\pi$

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Step-by-step explanation:

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$A(x)=\int\limits^x_0 f{x} \, dx$

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we can plug x=4

$A(4)=\int\limits^4_0 f{x} \, dx$

Since, this curve is below x-axis

so, the value of integral must be negative

and it is quarter of circle

so, we can find area of quarter circle

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Calculation of A(8):

we can plug x=8

$A(8)=\int\limits^8_0 f{x} \, dx$

we can break into two parts

$A(8)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx$

now, we can find area and then combine them

$A(8)=-4\pi +\frac{1}{2}\times 4\times 4$

$A(8)=-4\pi +8$

Calculation of A(12):

we can plug x=12

$A(12)=\int\limits^12_0 f{x} \, dx$

we can break into two parts

$A(12)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx$

now, we can find area and then combine them

$A(12)=-4\pi +\frac{1}{2}\times 8\times 4$

$A(12)=-4\pi +16$

Calculation of A(14):

we can plug x=14

$A(14)=\int\limits^14_0 f{x} \, dx$

we can break into two parts

$A(14)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx+\int\limits^14_12 f{x} \, dx$

now, we can find area and then combine them

$A(14)=-4\pi +\frac{1}{2}\times 8\times 4-\frac{1}{2}\times 1\times 2$

$A(14)=-4\pi +16-1$

$A(14)=-4\pi +15$

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3 years ago