All categories

4 years ago

Triangle ABC with vertices A(2, 4) , B(4, 0) , and C(6, 6) is dilated about the origin to be triangle A′B′C′ .

Mathematics

1 answer:

frez [133]4 years ago

4 0

Answer:

First choice

Step-by-step explanation:

first solve for each side of the triangle using slope formula:

y2-y1/x2-x1 ex: (x1, y1) (x2, y2)

this solve for all the lengths. AB, BC, CA

then solve for the area of the triangle:

A=1/2 b*h

A=1/2 2* 1/2

A=1/2 or .5

You might be interested in

A spinner has five equal sections that are numbered 1-5. In which distributions does the variable X have a binomial distribution

e-lub [12.9K]

Answer: The answer is C

Step-by-step explanation: If you think about it the spinner only spun 3 times and when that happens them you sum up X

8 0

3 years ago

Divide the following 81x⁷yz³ by -3x²y²z²

Readme [11.4K]

Answer:

-27x^5y^-1 z

Step-by-step explanation:

-3x²y²z²

-27x^5y^-1 z

4 0

3 years ago

The graph below shows the number of napkins arranged on different numbers of tables in a room: A graph is shown. The values on t

DiKsa [7]

The point (1,14) shows that if there is one table in the room, then it will be set with 14 napkins. The other points show that if there are more tables in the room, the same ratio holds ... there will be 14 napkins on EACH table.

3 0

3 years ago

Read 2 more answers

A store is having a sale in which all items are 20% off. If p is the original price of an item, then the equation p - 0.2p = 0.8

katovenus [111]

Answer:

Answer Expert Verified

We are given that there is a 20% sale in the store. Moreover, the sale price of an item is p - 0.2p, where p is the price of the item. So, we get that, p - 0.2p is equivalent to 0.8p

6 0

3 years ago

A composite figure is shown.

VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

For the cube

Surface area of a cube is given by

$S = 6l^{2}$

Where $l$ is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = $5l^{2}$

From the given information,

$l = 6 \ feet$

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

For the square prism

The surface area of a square prism is given by the formula,

$S = 2l^{2} + 4lh$

Where $l$ is the length of the sides and

$h$ is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = $2l^{2} + 4lh - 2l^{2}$

Surface area of the square prism in the figure = $4lh$

From the given information,

$l = 6 \ feet$

$h = 20 \ feet$

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

$S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }$

Where $l$ is the base length

and $h$ is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = $l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2} }\ - ( l^{2})$

Surface area of the pyramid part of the figure = $2l\sqrt{\frac{l^{2} }{4}+h^{2} }$

From the given information,

$l = 6 \ feet$

$h = 4 \ feet$

∴ Surface area of the pyramid part of the figure = $2(6)\sqrt{\frac{6^{2} }{4}+4^{2} }$

= $12\sqrt{\frac{36 }{4}+16}$

= $12\sqrt{9+16 }$

= $12\sqrt{25}$

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

#SPJ1

4 0

3 years ago