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12345 [234]
3 years ago
6

Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1).  What are the coordinates of A' after a dilation by a scale factor

of 2.5?​
Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

Answer:

A’(-5,5)

Step-by-step explanation:

x’ = 2.5 * -2 = -5

y‘ = 2.5  * 2 = 5

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Answer:

19

Step-by-step explanation:

ez pz lemon squeezie

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3 years ago
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PointJ-2.1) and point K(45) form line segment JR. For the point P that partions JK in the ratio 3.7, what is the y-coordinate of
inessss [21]
The coordinates of point P would be (2.6, 1.6).

The ratio of the sides being 3:7 means that the segment JP would be 3/10 of the total and PK would be 7/10 of the segment.  

The slope of JK is given by finding the rise/run; in this case that is 4/2=2.  Since JP is 3/10 of the segment, we add 3/10 of the rise to the x-coordinate and 3/10 of the run to the y-coordinate:

(3/10(2)+2, 3/10(2)+1)
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3 years ago
A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the
kolbaska11 [484]

Answer:

Volume of cylinder = \pi r^2h

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = \pi r^2

Area of square = s^2

Side of square = diameter of circle= D^2

Diameter = 2r

∴ Area of square=  2r^2=4r^2

\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}

Area of circle is \frac{\pi }{4}  of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = 4r^2h

Volume of cylinder = Area of circle × h = \pi r^2h

Now, rate

\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}

⇒Volume of cylinder is  \frac{\pi }{4}  of Volume of prism.

Volume of Cylinder =\frac{\pi }{4}\times Volume of prism

Volume of cylinder = \frac{\pi }{4}\times 4r^2h

Volume of cylinder = \pi r^2h

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3 years ago
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A tree makes a shadow that is 14 ft long. Rachel is 6 ft tall. When she is standing near the tree, her shadow is 3.5 ft long. Wh
ikadub [295]
Tree height / 14  =  6 / 3.5
tree height = (14 * 6) / 3.5

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4 years ago
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What is the ratio of $.81 to $1 and $2.63 to $1?
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.81 and 2.63 if you divide them
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