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3 years ago

LCM of 96,144,126 find it

Mathematics

1 answer:

lidiya [134]3 years ago

6 0

Answer:

2016

Step-by-step explanation:

To solve this problem, let us find the prime factors of the given numbers:

8 x 12

2 x 2 x 2 2 x 2 x 3

2⁵ x 3

144

12 x 12

2 x 2 x 3 2 x 2 x 3

2⁴ x 3²

126

2 x 63

2 7 x 9

2 3 x 3 x 7

2 x 3² x 7

So, the lowest common multiple = 2⁵ x 3² x 7 = 2016

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Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.

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Answer:

The equation in the slope-intercept form will be:

$y=-\frac{5}{4}x+1$

Step-by-step explanation:

Given

slope = m = -5/4

point = (8, -9)

As we know that the equation of a line in point-slope form is

$y-y_1=m\left(x-x_1\right)$

substituting the values m = -5/4 and point = (8, -9)

$y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)$

$y+9=\frac{-5}{4}\left(x-8\right)$

Writing the equation in slope-intercept form

$y=mx+b$

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

$y+9=\frac{-5}{4}\left(x-8\right)$

subtract 9 from both sides

$y+9-9=\frac{-5}{4}\left(x-8\right)-9$

$y=-\frac{5}{4}x+1$

Therefore, the equation in the slope-intercept form will be:

$y=-\frac{5}{4}x+1$

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Find the volume of a right circular cone that has a height of 3.9 ft and a base with a circumference of 16.3 ft. Round your answ

MissTica

Answer:

The answer to your question is Volume = 27.5 ft³

Step-by-step explanation:

Data

Volume = ?

height = 3.9 ft

Circumference = 16.3 ft

Process

1.- Calculate the radius of the Cone

Circumference = 2πr = 16.3 ft

-Solve for r

r = 16.3/2π

r = 16.3/6.28

r = 2.5955 ft

2.- Calculate the volume

Volume = 1/3πr²h

-Substitution

Volume = 1/3(3.14)(2.5955)²(3.9)

-Simplification

Volume = 1/3(82.4966)

-Result

Volume = 27.5 ft³

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Answer:

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Step-by-step explanation:

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LCM of 96,144,126 find it​

LCM of 96,144,126 find it