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Masteriza [31]
2 years ago
15

Find the area of ABCHelp

Mathematics
1 answer:
Katarina [22]2 years ago
6 0

The value of the scale factor is 3. Then the height and area of the triangle ΔABC will be 9 ft and 54 square ft.

<h3>What is dilation?</h3>

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

The area of the triangle ΔDEF is 6 square ft. And the base length of the triangle ΔDEF is 4 ft.

The area of the triangle is given as

\rm Area = \dfrac{1}{2} \times bh\\\\

Then the height of the triangle ΔDEF will be

\rm 6 = \dfrac{1}{2} \times 4 \times h\\\\h = \dfrac{12}{4}\\\\h  = 3

Then the scale factor will be

\rm SF = \dfrac{12}{4} = 3

Then the height of the triangle ΔABC will be

\rm \dfrac{H}{3} = 3\\\\H \ = 9

Then the area of the dilated triangle ΔABC will be

\rm Dilated \ Area = \dfrac{1}{2} \times 12 \times 9\\\\Dilated \ Area = 54 \ ft^2

More about the dilation link is given below.

brainly.com/question/2856466

#SPJ1

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Step-by-step explanation:

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3 years ago
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valentina_108 [34]

The choices b and c are equivalent to \frac{4}{6}.

Step-by-step explanation:

Step 1:

First, we need to bring the fraction \frac{4}{6} to its simplest form. To do so, we divide the numerator and the denominator by the greatest factor.

The greatest factor for 4 and 6 is 2. So we divide it by 2.

So \frac{4}{2}=2,  \frac{6}{2}=3, \frac{4}{6}= \frac{2}{3}.

Step 2:

Similarly, we need to do the same for all the given four options.

a. \frac{2}{4}, the greatest factor for 2 and 4 is 2. So we divide the fraction by 2.

So \frac{2}{2}=1,  \frac{4}{2}=2, \frac{2}{4}= \frac{1}{2}.

b. \frac{8}{12}, the greatest common factor for 8 and 12 is 4. So we divide the fraction by 4.

So \frac{8}{4}=2,  \frac{12}{4}=3, \frac{8}{12}= \frac{2}{3}.

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Step 3:

So options b and c are equal to the simplification of \frac{4}{6} i.e. \frac{2}{3}.

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3 years ago
Round 8.95 to the nearest tenth.did the ones place change? explain
Gekata [30.6K]
8.95 to the nearest tenth.

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Looking at the next digit after it is 5, and it is up to 5 so we increase the 9 to 10.

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≈ 9.0  to the nearest tenth.
6 0
4 years ago
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I need help for #1 (an explanation would be great too).
Ivan

Answer:

±6i√2

Step-by-step explanation:

Recall that the square root of a negative number is imaginary, which is shown by the use of "i."

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Then √72 = ±√36√2 = ±6√2, and

   

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Note that this is identical to the result shown in the problem:  √(36·2·(-1) )

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