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2 years ago

Which set of transformations would prove triangle GFE ~ triangle GHI?

Mathematics

2 answers:

Flura [38]2 years ago

4 0

Answer:

Dilation of 1/2 and then a reflection over y=2

Mazyrski [523]2 years ago

4 0

Answer:

reflect GHI over x= -2, and dilatate G'H'I' by a scale factor of 2 from point G

Step-by-step explanation:

EFG is turned the other way, meaning that GHI was flipped. because EFG is bigger, and having a scale factor that's a whole number means it gets bigger, then this answer is correct because its both bigger and flipped in the picture.

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Please help! I will mark as brainliest IF answer is right. <3

weeeeeb [17]

Hope this helps. :D
(Please mark as brainliest thanks)

8 0

2 years ago

I need the volume for 9,11,and 13

mihalych1998 [28]

Hey there!

<h3>Question 1</h3>

Let's use 3.14 for pi during this. It'll make it a lot easier.

The volume for a cone is $\pi r^{2} \frac{h}{3}$ .

The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.

17.6 ÷ 2 = 8.8

The height of this cone is 23.4 inches.

Plug the values into the equation.

$\pi 8.8^{2} \frac{23.4}{3}$

Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.

$3.14 * 77.44 * 7.8$

Multiply the numbers together.

<u>The volume of this cone is approximately 1896.66 cubic inches.</u>

<h3>Question 2</h3>

Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.

Formula for finding the area of a trapezoid is $a = \frac{1}{2} h(b_{1} +b_{2} )$

The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.

$a = \frac{1}{2} 24.7(10 +34 )$

Add 10 and 34, then multiply it by 24.7 and 1/2.

a = 543.4

Multiply that value by 19, which is the depth of the figure.

<u>The volume of the prism is 10324.6 cubic feet.</u>

<h3>Question 3</h3>

The formula for volume of a triangular pyramid is v = 1/3ah, with a the area of the base and h the height.

The formula for the area of an equilateral triangle, which is the base, is $a = \frac{\sqrt{3} }{4} s^{2}$

The length of the side is 12, so we can square that to get 144.

Now multiply that by $\frac{\sqrt{3} }{4}$ to get the area of the base.

The area of the base is about 62.35 square meters.

The height of the pyramid is 20 meters. Plug that and the area of the base into the equation.

v = 1/3 x 62.35 x 20

Multiply the numbers together to get the volume.

<u>The volume of the pyramid is approximately 415.67 cubic meters.</u>

Hope this helps!

3 0

3 years ago

Help me plsx xndnjdsjjs

Kipish [7]

There is the answer hope it helpd if you can mark me brainliest

6 0

3 years ago

Consider the vector field.f(x, y, z) = xy2z2i + x2yz2j + x2y2zk(a) find the curl of the vector field.

Marysya12 [62]

First introduce the following notations:
$P=yx^2z^2\\Q=x^2yz^2\\R=x^2y^2z\\\text{Then compute the partial derivative like this:}\\R_y=2x^2yz\\Q_z=2x^2yz\\P_z=2yx^2z\\R_x=2xy^2z\\Q_x=2xyz^2\\P_y=x^2z^2\\\text{Then evaluate each of the following:}\\R_y-Q_z=2x^2yz-2x^2yz=0\\P_z-R_x=2yx^2z-2xy^2z=2xyx(x-y)\\Q_x-R_y=2xyz^2-x^2z^2=z^2x(2y-x)\\\text{Our answer will be then:}\\Curl(f)=(2xyx(x-y))j+(z^2x(2y-x))k$

7 0

3 years ago

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$