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3 years ago

6

The sum of three consecutive interferes is -97 what is the largest interger

1 answer:

MaRussiya [10]3 years ago

8 0

If we let the first integer be x, then the second integer is x+1, and the third is x+2 because they are consecutive. If the sum of them is -96, then you can make an equation.
x + x +1 +x + 2 = -96
solve for x and you've got your first integer. find the values of the other integers and determine which one is the largest.

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zmey [24]

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3 years ago

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Vladimir79 [104]

Answer:

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Step-by-step explanation:

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4 years ago

Volume of composite figures

ollegr [7]

Given:

The diameter of cylinder is 6 in and the height of the cylinder is 8 in.

The dimensions of the cuboid are 15 in by 9 in by 9 in.

To find:

The volume of the composite figure.

Solution:

Volume of a cuboid is:

$V_1=length\times breadth\times height$

$V_1=15\times 9\times 9$

$V_1=1215$

So, the volume of the cuboid is 1215 cubic inches.

The diameter of cylinder is 6 in. So, the radius of the cylinder is:

$\dfrac{6}{2}=3\text{ inches}$

Volume of a cylinder is:

$V_2=\pi r^2h$

Where, r is the radius and h is the height.

Substituting $r=3,h=8,\pi =3.14$ , we get

$V_2=(3.14)(3)^2(8)$

$V_2=(3.14)(9)(8)$

$V_2=226.08$

The volume of the cylinder is 226.08 cubic inches.

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$V=V_1+V_2$

$V=1215+226.08$

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4 0

3 years ago

Find the sum of the first six terms of a geometric progression .

Dominik [7]

Question:

Find the sum of the first six terms of a geometric progression.

1,3,9,....

Answer:

$S_6 = 364$

Step-by-step explanation:

For a geometric progression, the sum of n terms is:

$S_n = \frac{a(r^n - 1)}{r - 1}$

In the given sequence:

$a = 1$

$r = 3/1 =3$

$n = 6$

So:

$S_n = \frac{a(r^n - 1)}{r - 1}$

$S_6 = \frac{1 * (3^6 - 1)}{3 - 1}$

$S_6 = \frac{3^6 - 1}{2}$

$S_6 = \frac{728}{2}$

$S_6 = 364$

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3 years ago

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saw5 [17]

Answer:

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Step-by-step explanation:

8 0

3 years ago