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3 years ago

Angle ABC is taken by a dilation with the center P and scale factor 3 to angle A'B'C'

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

8 0

Answer: 21

Step-by-step explanation: We are given that angle ABC is dilated with center P.

Scale factor=3

Angle A'B'C' is formed after dilation of angle ABC.

Dilation: when a figure is dilated by scale factor a then, the figure shape does not change.

After dilation, the size of figure changes.

The initial figure and the figure obtained after dilation are similar in shape.

When two figures are similar then , the angles of one figure are congruent to its corresponding angles in other figure and ratio of their corresponding sides are equal.

The measure of angle ABC=21'

After dilation by scale factor 3 then, the measure of angle A'B'C' remains=21'

Because the shape does not change in dilation transformation.

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Trey had a cylindrical can with a radius of 4 inches and a height of 12 inches that was completely full of beet juice. He poured

Arisa [49]

Answer:

$8\ glasses\ of\ juice$

Step-by-step explanation:

step 1

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The volume of the cylinder is equal to

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$V=\pi (4)^{2}(12)=192\pi\ in^{3}$

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3 years ago

A helicopter hovers 500 m above a long straight road. There is a truck to the left and right of the helicopter. The angles of de

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Answer:

1045.01 rounded to the nearest hundredth

Step-by-step explanation:

First, we can draw this out. The angle of depression is the angle formed by the object at the top and the line formed by the object at the top and the object at the bottom.

If the truck on the left is truck A and the truck on the right is truck B, with the helicopter being the circle on top, there is one 60 degree angle of depression and one 20 degree one. If we make a point at the point in the road the helicopter is straight above, and we connect the points, we can form two right triangles, as shown. If we can calculate the lengths of sides x and y, we can add them up to find the length between the two trucks.

Starting with side x, we know one angle and the side length adjacent to that angle. We want to find the length opposite that angle. One formula that encompasses this is tan(θ) = opposite/adjacent. Therefore, tan(60) = x/500

tan(60) = x/500

multiply both sides by 500 to isolate the x

tan(60) * 500 = x

x = 866.0254

Similarly, with side y, we can say that tan(20) = y/500 and

tan(20) * 500 = y

y= 181.9851

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3 years ago

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chubhunter [2.5K]

Answer:

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