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Keith_Richards [23]
3 years ago
11

The area of a square rug is 169ft^2. How long is each side of the rug?

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{13 \: ft}}}}}

Step-by-step explanation:

\star{ \sf{ \: Area \: of \: a \: square \: rug \: ( \: A \: ) \:  =  \: 169 \:  {ft}^{2} }}

\sf{ \underline{Finding \: the \: length \: of \: a \: square \: ( \: l \: )}}

\boxed{ \sf{Area \: of \: a \: square \:  =  \:  {l}^{2} }}

\hookrightarrow{ \sf{169 =  {l}^{2} }}

\hookrightarrow{ \sf{ {l}^{2}  = 169}}

\hookrightarrow{ \sf{ \sqrt{ {(l)}^{2} }  =  \sqrt{169} }}

\hookrightarrow{ \text{length \:  =  \: 13 \: ft}}

\text{Hope \: I \: helped!}

\text{Best \: wishes !!}

~\text{TheAnimeGirl}

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what is the probability that a randomly chosen number is less than or equal to 90 and is a multiple of 17
kodGreya [7K]

Answer:

let's see...

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Desiree outcomes..= 5 ( 17,34,51,68,85)

and therefore.. the probability is 5/90 = 1/18.

here you go.. that should be correct I hope.

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2 years ago
T3=-6.5 and t5=-3.9 determine d
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t_3=-6.5;\ t_5=-3.9\\\\t_5-t_3=2d\\\\2d=-3.9-(-6.5)\\\\2d=-3.9+6.5\\\\2d=2.6\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{d=1.3}
4 0
3 years ago
Seiji and Gavin both worked hard over the summer. Together they earned a total of $450. Gavin earned $30 more than seiji.
jok3333 [9.3K]

Answer:

(a) s+g=450\\g=s+30

(b) The graph is shown below.

(c) Seiji earned $ 210 and Gavin earned $ 240.

Step-by-step explanation:

Given:

Sum of earnings of Seiji and Gavin = $ 450

Gavin earns $ 30 more that that of Seiji.

(a)

So, as per question, if s and g are the amounts earned by Seiji and Gavin respectively, then;

s+g=450\\g=s+30

(b)

The graph is plotted using the x and y intercepts of each line.

For the line, s+g=450, the x intercept is at g=0. So, x intercept is (450,0). Similarly, the y intercept is when s=0, which is (0,450). Draw a line passing through these two points. The red line represents s+g=450.

We follow the same process to plot the next line. The x intercept is at (-30,0) and y intercept is at (0,30). Draw a line passing through these two points. The blue line represents g=s+30.

The graph is shown below.

(c)

From the graph, the point of intersection of the two lines gives the earnings of each of the persons.

The x value of the point of intersection is the earning of Seiji which is $ 210 and the y value is the earning of Gavin which is $ 240 as shown in the graph.

Therefore, Seiji earned $ 210 and Gavin earned $ 240.

3 0
3 years ago
How could a quadrilateral be a parrallelogram
gizmo_the_mogwai [7]

Answer: i don't know the answer but im going to list conjectures of what make a parallelogram a parallelogram

Step-by-step explanation:

Parallelogram opposite angles conjecture: Opposite sides of a parallelogram are congruent.

Parallel opposite sides conjecture: opposite sides of a parallelogram are congruent.

Parallelogram diagonals conjecture: the diagonals of a parallelogram bisect each other

4 0
2 years ago
55. If 3x = 4y, the value of (x + y)^2 : (x - y)^2 is:<br>​
ladessa [460]

Answer:

\large\boxed{(x+y)^2:(x-y)^2=49}

Step-by-step explanation:

3x=4y\qquad\text{subtract}\ 3y\ \text{from both sides}\\\\3x-3y=y\qquad\text{distributive}\\\\3(x-y)=y\qquad\text{divide both sides by 3}\\\\x-y=\dfrac{y}{3}\qquad(*)\\------------------\\3x=4y\qquad\text{add}\ 3y\ \text{to both sides}\\\\3x+3y=7y\qquad\text{distributive}\\\\3(x+y)=7y\qquad\text{divide both sides by 3}\\\\x+y=\dfrac{7y}{3}\qquad(**)\\------------------

(x+y)^2:(x-y)^2=\dfrac{(x+y)^2}{(x-y)^2}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\=\left(\dfrac{x+y}{x-y}\right)^2\qquad\text{substitute}\ (*)\ \text{and}\ (**)\\\\=\left(\dfrac{\frac{7y}{3}}{\frac{y}{3}}\right)^2=\left(\dfrac{7y}{3}\cdot\dfrac{3}{y}\right)^2\qquad\text{cancel}\ 3\ \text{and}\ y\\\\=(7)^2=49

5 0
2 years ago
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