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Anna007 [38]
3 years ago
6

The area of a shape is 100cm2 what is the area if the shape is dialated with a scale factor of 1/5

Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0

Answer:

20cm squared

Step-by-step explanation:

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Please explain how to do #6 i know the work is right but i don’t understand it
mariarad [96]
Since this is part of a packet, there's a lot of prior knowledge you need to understand the question.
1) The angle of elevation is the angle between the horizontal and the light of sight from the object to the observer (see picture 1).

2) A lot of the units are from work done by an Indian astronomer. The line of sight (light blue in picture 1) is r = 3438 (I think you might have forgotten to finish writing the number). r, or 3438, is the distance from the earth to the sun used by Indian Astronomers. 

3) The table shows units in jya(θ<span>°). Jya is a Sanskrit (ancient Indian language) word. It stands for the length of half of a chord that connects two endpoints of a circle (kinda confusing and more information than you need to know - but it's the green line in picture 2).
What's important is: </span>jya(θ°) = r*sin(θ°)



Now let's tackle the problem:
1) You know that the angle of elevation is 67.5°. Using the chart, the only important value is the second from the bottom. jya(67.5°) = 3177. 

2) Remember that jya(θ°) = r*sin(θ°). 
Also remember that sine of an angle is \frac{opposite}{hypotenuse}. In this problem, r, the distance from the earth to the sun, happens to be the hypotenuse of the triangle since its the longest edge. 

3) Notice that you're dividing jya(θ°) (aka r*sin(θ°)) by r = 3438. That will give you sin(θ°) by itself. Then you're multiplying that sin(θ°) by 1 AU, which we are told is the actual distance of the hypotenuse/distance from earth to sun. Since sine = \frac{opposite}{hypotenuse} that gives you the apparent length of the opposite side = apparent height of the sun.

The math is a bit weird, but you're basically multiplying sine by the apparent distance 1AU to get the apparent height, instead of multiplying sine by the estimated height r = 3438. Dividing 3177 by 3438 gives you sin(67.5°). Then multiplying sin(67.5°) by the apparent hypotenuse, 1AU, gives you the apparent height. That's how I'm understanding it!

6 0
3 years ago
Write a two-column <br> Give: <br><br> proof: x=45
AleksAgata [21]
Two lines that cross each other have each pair of angles the same.

2x+6=96 --> x=45
8 0
3 years ago
Find the midpoint of the line segment with the endpoints A and B.
zavuch27 [327]

Answer:

<h2>( 6 , 7 )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )\\

From the question we have

m = ( \frac{2 + 10}{2} \:  , \:  \frac{6 + 8}{2} ) \\  =  (\frac{12}{2}  \: , \:  \frac{14}{2} ) \:  \:  \:  \:  \:  \:  \:

We have the final answer as

<h3>( 6 , 7 )</h3>

Hope this helps you

3 0
2 years ago
Which of the following ordered pairs would be the origin on a graph?
Triss [41]

Answer:

D is the answer

Step-by-step explanation:

0,0 is the only one that both start at 0, which is crucial for the origin (or really just to make sure they have the exact same number :) )

6 0
3 years ago
Read 2 more answers
Elena plans to ride her bicycle 5 miles to a park and then ride several times
Aneli [31]

Option A

Elena need to ride around the  loop four or more times

<em><u>Solution:</u></em>

Given that Elena plans to ride her bicycle 5 miles to a park and then ride several times  around a loop in the park that is 3 miles long

Then she will ride the same way  home

She wants to ride a total of at least 22 miles

<em><u>Given inequality is:</u></em>

3t + 10 > 22

Where "t" is the number of times Elena rides around the loop

<em><u>Solve fot "t" in given inequality</u></em>

3t + 10 > 22

Subtract 10 both sides

3t + 10 - 10 > 22 - 10

3t > 12

Divide by 3 both sides

t > 4

The solution is all real numbers greater than or equal to 4

Which means 4 or more times

Therefore, Option A is correct.

4 0
3 years ago
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