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3 years ago

Which set of transformations would prove AGFE ~ AGHI?

Mathematics

1 answer:

Georgia [21]3 years ago

4 0

Answer:

Reflect over x=-2 and dilate G'H'I' by a scale factor of 2 from point G

Step-by-step explanation:

First you'd have to reflect from x=-2 because its still on that line but the opposite way.

So we can already narrow it down to the second or last answer.

It wouldn't translate because that doesn't change the size. Its a dilation because the size has changed. Its dilated from point G because as you can see, G is the same point on both.

So the last answer choice is correct.

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The gate of a stadium ha two pillars each of height 10ft.with four visible lateral faces and 3ft*3ft bases .the top of eaxh pill

lbvjy [14]

The pillars and the pyramids in the stadium gate means that we have to calculate the area of the items that make up the gate one after the other. At the end of the calculation, the calculated areas are then added up.

The total cost of painting is Rs.21344

First, we calculate the area of 1 side of 1 pillar using:

$A = Height * Base$

Where

$Height = 10ft$ --- Height of the pillar

$Base = 3ft$ --- Base of the pillar

So:

$A = 10ft * 3ft$

$A = 30ft^2$

The area of the 4 sides of the pillar is:

$A_2 = 4 * A$ --- i.e. 4 multiplied by the area of 1 side

$A_2 = 4 * 30ft^2$

$A_2 = 120ft^2$

The area of the 2 pillars is:

$Area_1 = 2 * A_2$ --- i.e. 2 multiplied by the area if 1

$Area_1 = 2 * 120ft^2$

$Area_1 = 240ft^2$

Because one part of the pyramid won't be visible, we calculate the area of the pyramid using:

$Area = lw + l\sqrt{(w/2)^2 + h^2} + w\sqrt{(l/2)^2 + h^2}$

Where:

$h = 2$ -- the height

$l = w = 3$ --- the base of the pillar is the length and width of the pyramid.

So, we have:

$Area = 3\sqrt{(2/2)^2 + 2^2} + 3\sqrt{(2/2)^2 + 2^2}$

$Area = 3\sqrt{1 + 4} + 3\sqrt{1 + 4}$

$Area = 3\sqrt{5} + 3\sqrt{5}$

$Area = 6\sqrt{5}$

For the two pyramids, the area is:

$Area_2 = 2 * 6\sqrt 5$ -- 2 multiplied by area of 1

$Area_2 = 12\sqrt 5$

$Area_2 = 26.8$

So, the total area to be painted is:

$Total = Area_1 + Area_2$ --- the sum of the area of the pillars and the pyramids

$Total = 240+26.8$

$Total = 266.8ft^2$

The unit cost of paint is:

Rate = Rs80 per sq.ft

The total cost of painting is:

$Cost = 80 * 266.8$

$Cost = Rs.21344$

Read more at:

brainly.com/question/14320476

7 0

3 years ago

Identify the function shown in this graph

Novay_Z [31]

Answer: B

Step-by-step explanation:

Since the line is going down, the slope has to be negative so it’s B

6 0

3 years ago

Read 2 more answers

The square footage of a house is 1200 square feet. What type of data is this?

DIA [1.3K]

The answer for the question shown above is: <span>The square footage of a house that is 1200 square feet is the "</span>Area".

The explanation is shown above:

1- By definition, the area is the measure of a two-dimensional surface.Its units can be written in m^2, ft^2, in^2...However, in the International System of Units is m^2.

2. This is very useful when you want to know the surface of a house. If it is a rectangular house, you can calculate the area as below:

A=LxW

Where L is the length and W is the width

5 0

4 years ago

Log38–log37=log3<br> 8<br> 7

Pachacha [2.7K]

? It looks like u answered ur self

6 0

3 years ago

What is the slope of (-7, -4) and (0, -2)

krok68 [10]

Answer:

2/7

Step-by-step explanation:

$\frac{-2-(-4)}{0-(-7)}$ then you simplify if it needs to be simplified

4 0

3 years ago