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1 year ago

11

A rectangular room is 3 times as long as it is wide, and its perimeter is 32 meters. Find the dimensions ofthe room.The length i

s :
meters and the width is
meters.

1 answer:

Grace [21]1 year ago

6 0

Answer:

Width = 4m

Length = 12 m.

Step-by-step explanation:

Let width = x, then length = 3x.

Perimeter

= 2(3x + x) = 32

2 * 4x = 32

x = 32 / 8 = 4 m.

The length = 3*4 = 12m and width = 4 m.

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What is the equation in slope-intercept form of a line that is perpendicular to y=2x+2 and passes through the point (4, 3)?

andriy [413]

Answer:

$y = - \frac{1}{2} x + 5$

Step-by-step explanation:

<u>slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept

Given line: y= 2x +2

slope= 2

The product of the slopes of perpendicular lines is -1. Let the slope of the unknown line be m.

m(2)= -1

m= -1 ÷2

m= -½

Substitute the value of m into the equation:

y= -½x +c

To find the value of c, substitute a pair of coordinates.

When x= 4, y= 3,

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2 years ago

Calcula el 23 % de 175

weqwewe [10]

Answer:40.25

Step-by-step explanation:

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(23 x 175)/100

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3 years ago

Find the lateral surface area of this

Ksenya-84 [330]

Answer:

$A=157.07\ cm^2$

Step-by-step explanation:

Given that,

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Height of the cylinder, h = 5 cm

We need to find the lateral surface area of the cylinder. The formula for the lateral surface area of the cylinder is given by :

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Put all the values,

$A=2\pi\times 5\times 5\\\\=157.07\ cm^2$

So, the lateral surface area of the cylinder is $157.07\ cm^2$ .

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3 years ago

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data belowVolu

ki77a [65]

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Answer:

D. The ratio level of measurement is most appropriate because the data can be ordered, differences can be found and are meaningful, and there is a natural starting zero point

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1 year ago

Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

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$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

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$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

6 0

3 years ago