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3 years ago

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A blueprint of an apartment is shown below. What is the actual length of the longest wall in the living room in feet? 0.5 inch :

6 feet Living Room Bedroom Bath 1.5 in.

1 answer:

jarptica [38.1K]3 years ago

3 0

Answer:

36 feet long.

Step-by-step explanation:

If the longest wall in the living room is referring to the side that I have drawn over in white and red in the attached image, or if it is the leftmost wall, then that wall is 36 feet long. For every half inch, it is 6 feet, so because there are 6 'half inches' in 3, you multiply 6 feet by the 6 half inches there are, and get 36. There are simpler ways to solve it but I can't take a picture of my work, so I hope this helps. Good luck.

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Consider the system of linear equations.

Nadusha1986 [10]

Answer:

The system has one solution.

Both lines have the same y-intercept.

The solution is the intersection of the 2 lines.

Step-by-step explanation:

Lines are

$2y=x +10$

slope = 0.5

y intercept(put x =0) =5

$3y =3x +15$

slope = 1

y intercept(put x =0 ) =5

Both are linear equation thus they have only one solution. Also two non parallel lines meet only at one point.

If you solve these linear equation coordinate of point of intersection of line on graph will come.

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4 years ago

Find the center and radius of the circle whose equation is x 2 + y 2 + 10x − 1

Margaret [11]

we conclude that the center of the circle is the point (-5, 0).

<h3>How to find the center of the circle equation?</h3>

The equation of a circle with a center (a, b) and a radius R is given by:

$(x - a)^2 + (y - b)^2 = R^2$

Here we are given the equation:

$x^2 + y^2 + 10x - 1 = 0$

Completing squares, we get:

$x^2 + 10x + y^2 = 1$

Now we can add and subtract 25 to get:

$x^2 + 10x + 25 - 25 + y^2 = 1\\\\(x + 5)^2 -25 + y^2 = 1\\\\(x + 5)^2 + (y - 0)^2 = 26$

Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).

If you want to learn more about circles:

brainly.com/question/1559324

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3 0

2 years ago

For a fund raiser, the debate team sold sodas at a school dance. They spent 10 dollars to pay for the cups. The soda was donated

8_murik_8 [283]

Answer:byh

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft 3 . Find the d

denpristay [2]

Answer:

The dimensions of the box that minimize the materials used is $6\times 3\times 2\ ft$

Step-by-step explanation:

Given : An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft³.

To find : The dimensions of the box that minimize the materials used ?

Solution :

An open top box is to be built with a rectangular base whose length is twice its width.

Here, width = w

Length = 2w

Height = h

The volume of the box V=36 ft³

i.e. $w\times 2w\times h=36$

$h=\frac{18}{w^2}$

The equation form when top is open,

$f(w)=2w^2+2wh+2(2w)h$

Substitute the value of h,

$f(w)=2w^2+2w(\frac{18}{w^2})+2(2w)(\frac{18}{w^2})$

$f(w)=2w^2+\frac{36}{w}+\frac{72}{w}$

$f(w)=2w^2+\frac{108}{w}$

Derivate w.r.t 'w',

$f'(w)=4w-\frac{108}{w^2}$

For critical point put it to zero,

$4w-\frac{108}{w^2}=0$

$4w=\frac{108}{w^2}$

$w^3=27$

$w^3=3^3$

$w=3$

Derivate the function again w.r.t 'w',

$f''(w)=4+\frac{216}{w^3}$

For w=3, $f''(3)=4+\frac{216}{3^3}=12 >0$

So, it is minimum at w=3.

Now, the dimensions of the box is

Width = 3 ft.

Length = 2(3)= 6 ft

Height = $\frac{18}{3^2}=2\ ft$

Therefore, the dimensions of the box that minimize the materials used is $6\times 3\times 2\ ft$

4 0

4 years ago

Walter wants computer software that cost $129. He has $57 saved. If he saves a maximum of $15 a week, the following inequality c

Lina20 [59]

In this question, it is given that

Walter wants computer software that cost $129. He has $57 saved.

he saves a maximum of $15 a week, the following inequality can be used to find how many weeks it will take Walter to save enough money to buy the software.

$15x+57 \geq 129$

And we have to solve this inequality for x.

First we subtract 57 to both sides. And on doing so , we will get

$15x\geq 72$

Dividing both sides by 15.

$x \geq 4.8$ \

Correct option is A.

8 0

3 years ago