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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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If business decreases 30%, it is 100% -30% = 70% of normal.

if business is 94% of normal, it is not between these values, so is not a winter business statistic.

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3 years ago
I need help with this
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3 years ago
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8 0
3 years ago
The third day Jim plans to snow board. The boards rent for $8.95 an hour, and the boots
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Answer: $113.55

Step-by-step explanation:

add up the cost of the lesson, boots, board, and ticket

the lesson costs $33.80 and the ticket costs $25, these cover the whole day so no need to be multiplied. the boots cost $2 and the board costs $8.95 each hour, jim will need to pay the cost of both 5 times for 5 hours.

here is the equation to solve

33.80 + 5(8.95 + 2.00) + 25 =

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33.80 + 79.75 = 113.55

the total cost is $113.55

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