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3 years ago

What are the vertices of AA'B'C'if AABC is dilated by a scale factor of 4?

Mathematics

1 answer:

ss7ja [257]3 years ago

6 0

Answer:

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply each of the coordinates by 4 , that is

A (0, 10 ) → A' (4(0), 4(10) ) → A' (0, 40 )

B (8, 6 ) → B' (4(8), 4(6) ) → B' (32, 24 )

C (4, 2 ) → C' (4(4), 4(2) ) → C' (16, 8 )

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What is the next number in the sequence? 3, 9, 15, 21, ?

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Answer: 27

Step-by-step explanation:

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2 years ago

Read 2 more answers

1) A TV is on sale for 20% off. If the sale price is $700, what is the original

barxatty [35]

Answer:

140

Step-by-step explanation:

20% of 700

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3 years ago

An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.

lawyer [7]

Answer:

7.5cm²

Complete question:What is the surface area of the 8-sided figure?

Step-by-step explanation:

Consider the half of the 8-sided die i.e the pyramid ABCDE:

As the base is 6 of the perimeter, so each side of the base is 6/4=3/2

Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.

Considering the right triangle EOM:

EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is

$\sqrt{1+ ( \frac{3}{4} )^{2} }= \sqrt{1+ \frac{9}{16} }= \sqrt{ \frac{25}{16} }= \frac{5}{4} (cm)$

5. So side EBC has area

$\frac{1}{2}BC*EM= \frac{1}{2}* \frac{3}{2}* \frac{5}{4}= \frac{15}{16}$

6. The total area is 8*Area(EBC)= $8* \frac{15}{16}= \frac{15}{2}=7.5 ( cm^{2} )$

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2 years ago

A hot air balloon went from an elevation of 6,678 feet to an elevation of 3,438 feet in 48 minutes. What was its rate of descent

gregori [183]

Answer:

The rate of descent is $-67.5\frac{feet}{minute}$

Step-by-step explanation:

we know that

The formula to calculate the rate or slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Let

x------> the time in minutes

y----> the elevation in feet

we have

$A(0,6,678)\ B(48,3,438)$

Substitute the values

$m=\frac{3,438-6,678}{48-0}$

$m=\frac{-3,240}{48}$

$m=-67.5\frac{feet}{minute}$

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3 years ago

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maksim [4K]

Answer:

Step-by-step explanation:

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3 years ago