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1 year ago

Does someone mind helping me with this problem? Thank you!

Mathematics

2 answers:

AleksAgata [21]1 year ago

8 0

Answer:

875 ft^2

Step-by-step explanation:

If 5 goes to 25 then the scale factor is 5

35 ft^2 x 5 x 5 = 875 ft^2

Jet001 [13]1 year ago

4 0

Answer:

875 ft²

Step-by-step explanation:

Finding area of similar rectangles:

Scale factor = EF : AB

= 25 : 5

= 5 : 1

$\sf \dfrac{Area \ of \ bigger \ rectangle}{Area \ of \ smaller \ rectangle}= (Scale \ factor)^2$

$\dfrac{Area \ of \ bigger \ rectangle}{35} =\left(\dfrac{5}{1}\right)^2$

$\text{Area of bigger rectangle = $\dfrac{25}{1}*35$}$

Area or rectangle EFGH = 875 ft²

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Solve the following equation. Remember to check for extraneous solutions 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).

xxMikexx [17]

Answer:

-1, 2, 6

Step-by-step explanation:

We have to solve the equation as follows: 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).

Now, we have, $\frac{1}{x-6} +\frac{x}{x-2} = \frac{4}{x^{2}-8x+12 }$

⇒ $\frac{(x-2)+x(x-6)}{(x-2)(x-6)} = \frac{4}{x^{2}-8x+12 }$

⇒ $\frac{x-2+x^{2}-6x }{(x-2)(x-6)} =\frac{4}{(x-2)(x-6)}$

⇒ $\frac{(x-2)(x-6)}{x^{2}-5x-2 }=\frac{(x-2)(x-6)}{4}$

⇒ $(x-2)(x-6)[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0$

⇒ $(x-2)(x-6) =0$ or, $[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0$

If, (x-2)(x-6) =0, then x=2 or x=6

If, $[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0$ , then $x^{2} -5x-2=4$

and (x-6)(x+1) =0

Therefore, x=6 or -1

So the solutions for x are -1, 2 6. (Answer)

4 0

3 years ago

The ratio of boys to girls in Math class is 3:4. If there are 21 total students in class, how many more girls are in the class t

sergij07 [2.7K]

There should be 3 more girls than boys in the class (9 boys, 12 girls)

8 0

3 years ago

Read 2 more answers

Solve the system of equations using the tables below

Bezzdna [24]

Answer:

(x, y) = (0, 3)

Step-by-step explanation:

(x, y) = (0, 3) is in both tables. Hence, that point is a solution to the system of equations.

7 0

3 years ago

Someone help me with example plzz

kati45 [8]

Answer:

Angle JML= 132( given)

Triangle JML= 180( Angle sum property)

2x+ 48= KML( Exterior angle property)

In triangle JML,

76 + ∠L+ ∠KML=180°

∠KML=∠L( angles opposite to equal sides are equal)

76+2(2x+48)=180°

2(2x+48)=104°

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Step-by-step explanation:

Hope it helps : )

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2 years ago

The table shows the number of cell phone towers a

Olin [163]

Answer:

The correct option is;

B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)

Step-by-step explanation:

The given data can be presented as follows;

Cell Phone Towers

Customer (thousands) ${}$ Towers

1) 5.25 ${}$ 273

2) 6.25 ${}$ 325

3) 7.25 ${}$ 377

4) 9.25 ${}$ 481

From the given data, we have the ratio Towers/Customer (thousands) given as follows;

For 1), we have;

273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)

For 2), we have;

325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)

For 3), we have;

377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)

For 4), we have;

481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)

Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).

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2 years ago