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kramer
3 years ago
13

A rectangle measures 6 cm by 4 cm. Another rectangle with adjacent sides 8 cm and x cm is geometrically similar to it. Find the

two possible value of x.
Mathematics
1 answer:
Elis [28]3 years ago
6 0

Answer:

5 1/3 or 5.33333333333333333333333333333333333333333333333333333

Step-by-step explanation:

to find the scale factor, you must divide the two equal sides.

\frac{6}{8}

which equals

\frac{3}{4} or 0.75

Now, the way to get the value of x is to divide 4 by 3/4 0r 0.75

\frac{4}{0.75}

Which equals

5.333 repeating or 5 1/3

Hope this helps. If you have any follow-up questions, feel free to ask.

Have a great day! :)

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The sum of the squares of three consecutive integers is 509. Determine the integers.
GalinKa [24]

Answer:

12, 13, 14

Step-by-step explanation:

Denote the integers as:

x

x+1

x+2

The sum of their squares, so that would be;

(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509

write out the squares

x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509

combine like terms

3x^2 + 6x + 5 = 509

inverse operations

3x^2 + 6x + 5 = 509

                -5     -5

3x^2 + 6x = 504

factor

3x^2 + 6x = 504

3 ( x^2 + 2x ) =504

Inverse operations

3 ( x^2 + 2x ) = 504

/3                       /3

x^2 + 2x = 168

Factor again

x ( x + 2 ) = 168

At this point, it should be obvious that x is 12 (because 12 * 14 = 168)

So now substitute back into the consecutive numbers

x = 12

x + 1 = 13

x + 2 = 14

6 0
3 years ago
Your mother has a new cell phone. It comes with 18 applications already installed. She uses only of those applications. She down
netineya [11]

"She uses only ___ of those applications"; Please provide the missing information

4 0
3 years ago
Nadine has a cup of nickels and a cup of dimes.
WITCHER [35]

Answer: 135 nickels

Step-by-step explanation:

135 Nickels is $6.75 and 165 dimes is $16.50

That's 300 coins. $6.75 + $16.50 = $23.25

3 0
3 years ago
In the diagram below, E T, E, T, end overline is parallel to W A, W, A, e. Find the perimeter of △ P A W △PAWtriangle, P, A, W.
svetlana [45]

Answer:

20.5

Step-by-step explanation:

8 0
3 years ago
What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?
zlopas [31]
<h3>given:</h3>

radius= 8 m

<h3>to find:</h3>

the volume of the sphere

<h3>solution:</h3>

v =  \frac{4}{3} \pi {r}^{3}

v =  \frac{4}{3}  \times \pi \times  {8}^{3}

v = 2144.66058 \:  {m}^{3}

v = 2144.7 \:  {m}^{3}

<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>sphere</u><u> </u><u>is</u><u> </u><u>2144.7</u><u> </u><u>cubic</u><u> </u><u>meters</u><u>.</u>

6 0
2 years ago
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