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Aloiza [94]
3 years ago
13

The area of a rectangular patio is 384 square feet.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

the ratio of the length and width = 3:2

Step-by-step explanation:

let the length be =x

width be = \frac{2x}{3}

area of a rectangle = length X width

so, x X \frac{2x}{3} = 384

or, x^{2} X 2/3 = 384

or, x^{2} = (384 X 3)/2

= 576

or, x = 24 ( taking square root)

hence, length is 24

width is = 24 X (2/3)

=16

so the ratio of length and width = 24 : 16

= 3:2

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Solve for linear inequality of x - 1 ≥ 4 + x​
defon

\huge\bf{ANSWER:}

\huge\mathrm{No\:solution.}\checkmark

\huge\bf{SOLUTION}:

Hey there, hope you are having a wonderful day! :)

Let's solve this inequality.

First of all, let's move all the numbers to the right, using the \bf{\underline{opposite\:\:operation\:}:

\longmapsto\sf{x-1\geq 4+x

\longmapsto\sf{x\geq 4+x+1

\longmapsto\sf{x\geq x+5

Now, let's move the variables to the left:

\longmapsto\sf{x-x\geq 5

\longmapsto\sf{0\geq 5

Now, as you can see, we ended up with a false statement. 0 is NOT greater than 5.

Thus, there are no values of x that make the inequality true, and the inequality  has

\bold{No\:solutions.}

Hope you find it helpful.

Feel free to ask if you have any doubts.

\bf{-MistySparkles^**^*

8 0
2 years ago
Which of the following coordinates exists on the line y = 3x + 1?
Natalija [7]

We are given

equation of line as

y=3x+1

we will check each options

option-A:

we can plug (3,1)

x=3 and y=1

1=3*3+1

1=10

we can see that

they are not equal

so, this is FALSE

option-B:

we can plug (-1,-2)

x=-1 and y=-2

-2=3*-1+1

-2=-2

we can see that

they are equal

so, this is TRUE

option-C:

we can plug (-3,4)

x=-3 and y=4

4=3*-3+1

4=-8

we can see that

they are not equal

so, this is FALSE

option-D:

we can plug (2,6)

x=2 and y=6

6=3*2+1

6=7

we can see that

they are not equal

so, this is FALSE


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3 years ago
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Ali must wear a totally ginormous shirt !

4 0
3 years ago
Find the angle measure to the nearest degree. <br> cos A = 0.7431<br> How do I do this?
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Answer:

Step-by-step explanation:

If you are looking for a missing angle measure, you use the 2nd button and the cos button.  Make sure, first off, that your calculator is in "degree" mode by hitting the "mode" button and making sure that the "degree" is highlighed and not the "radian".  Then hit "clear".  Once you know that you are in the correct mode, hit "2nd" then "cos" and you will see this on your screen:

cos^{-1}(

Inside the parenthesis you will enter your decimal, so it looks like this now:

cos^{-1}(.7431

You do NOT have to close the parenthesis, but you can if you want to.  Then hit "enter" to get that the angle that has a cosine of .7431 is 42.0038314 or, to the nearest degree, 42

6 0
3 years ago
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