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Vinil7 [7]
3 years ago
12

What are 3 consecutive numbers that is the sum of -27.please be right.use odd numbers

Mathematics
1 answer:
qaws [65]3 years ago
6 0
You're asking for three consecutive odd numbers, then
Let, the numbers = x, x+2, x+4

It is given that, x + x+2+ x+4 = -27
3x + 6 = -27
3x = -27 - 6
x = -33/3
x = -11
Then, x+2 = -9 & x+4 = -7

In short, Your Numbers would be: -7, -9,-11

Hope this helps!
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A sidewalk has an area that can be represented bt the expression (8x+24) feet. List 3 possible lenghts and widths of the sidewal
Eddi Din [679]

Answer:

Length = 8 feet and Width = (x+3) feet

Length = 4 feet and Width = (2x+6) feet

Length = 2 feet and Width = (4x+12) feet

Step-by-step explanation:

We are given that,

Area of the rectangular sidewalk = (8x+24) feet²

Since, area of a rectangle = Length × Width

It is required to find three possible lengths and widths.

As, we can factor the given area in the following ways,

1. Area = (8x+24) = 8 × (x+3)

2. Area = (8x+24) = 4 × (2x+6)

3. Area = (8x+24) = 2 × (4x+12)

Thus, the three possible lengths and widths are given by,

<em>1. Length = 8 feet and Width = (x+3) feet.</em>

<em>2. Length = 4 feet and Width = (2x+6) feet.</em>

<em>3. Length = 2 feet and Width = (4x+12) feet.</em>

3 0
3 years ago
Solve using a proportion.
Advocard [28]

Answer:

t = 24 yards

Step-by-step explanation:

Since the trapezoids are similar then the ratios of corresponding sides are equal, that is

\frac{t}{c} = \frac{u}{d}

Substitute in given values

\frac{t}{0.4} = \frac{15}{0.25} ( cross- multiply )

0.25t = 6 ( divide both sides by 0.25 )

t = 24

5 0
3 years ago
Write 2/3 of 4 as a fraction
eduard
 2 / 3 of 4 = ( 2 x 4 ) / 3 = 8 / 3 ;
7 0
3 years ago
A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If the cylinder is open at both ends, find the la
SOVA2 [1]

Answer:

8\pi\text{ square cm}

Step-by-step explanation:

Since, we know that,

The surface area of a cylinder having both ends in both sides,

S=2\pi rh

Where,

r = radius,

h = height,

Given,

Diameter of the sphere = 4 cm,

So, by using Pythagoras theorem,

4^2 = (2r)^2 + h^2   ( see in the below diagram ),

16 = 4r^2 + h^2

16 - 4r^2 = h^2

\implies h=\sqrt{16-4r^2}

Thus, the surface area of the cylinder,

S=2\pi r(\sqrt{16-4r^2})

Differentiating with respect to r,

\frac{dS}{dr}=2\pi(r\times \frac{1}{2\sqrt{16-4r^2}}\times -8r + \sqrt{16-4r^2})

=2\pi(\frac{-4r^2+16-4r^2}{\sqrt{16-4r^2}})

=2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})

Again differentiating with respect to r,

\frac{d^2S}{dt^2}=2\pi(\frac{\sqrt{16-4r^2}\times -16r + (-8r^2+16)\times \frac{1}{2\sqrt{16-4r^2}}\times -8r}{16-4r^2})

For maximum or minimum,

\frac{dS}{dt}=0

2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})=0

-8r^2 + 16 = 0

8r^2 = 16

r^2 = 2

\implies r = \sqrt{2}

Since, for r = √2,

\frac{d^2S}{dt^2}=negative

Hence, the surface area is maximum if r = √2,

And, maximum surface area,

S = 2\pi (\sqrt{2})(\sqrt{16-8})

=2\pi (\sqrt{2})(\sqrt{8})

=2\pi \sqrt{16}

=8\pi\text{ square cm}

4 0
3 years ago
THE property of two rational numbers is -28/81. If one of them is -2/3, then find the other.
KiRa [710]
The answer is:
(-28/81)/(-2/3) = -84/(-162) = 42/81

Work
Think of this simple question:
Two number when multiplied together give 15. If one number is 5, then the other is (15/5)=3.
4 0
3 years ago
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