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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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Studentka2010 [4]
The key piece of information for these questions is the Fundamental Theorem of Algebra, which states that a degree n polynomial has n complex roots. A complex root can be either real or imaginary. 

First question, regarding the polynomial y = x^3 - 3x^2 + 16x - 48:
We know there is one real root, the x-intercept.
Since it's a third degree polynomial, there are three complex roots in total. 
Therefore, there is one real root and two imaginary roots.
Answer is B

Second question:
You probably can guess the answer, now that you know the Fundamental Theorem of Alegebra:
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Answer is C) 3 real and 2 imaginary zeroes.

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3 years ago
How the Information Revolution changed American Economics.
notka56 [123]

Answer:

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4 0
3 years ago
EFGH is a rhombus. Given EG = 16 and FH = 12, what is the length of one side of the rhombus?
Black_prince [1.1K]

Answer:

(C) 10 units

Step-by-step explanation:

It is given that EFGH is a rhombus and EG = 16 and FH = 12.

We know that the diagonals of the rhombus are the perpendicular bisectors, therefore OF=6, OH=6, OE=8 and OG=8.

Now, using the Pythagoras theorem in ΔOFG, we have

(FG)^{2}=(OG)^{2}+(OF)^{2}

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FG=\sqrt{100}

FG=10

Thus, the value of the side of the rhombus will be 10 units.

Hence, option C is correct.

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Y_Kistochka [10]

Answer:

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Step-by-step explanation:

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