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Genrish500 [490]
3 years ago
11

Zane needs 20 yards of fencing to go around his rectangular yard. What are possible dimensions for Zane's yard? Select all that

apply .
Mathematics
1 answer:
stiv31 [10]3 years ago
7 0

Answer:

1 yard by 9 yards

2 yards by 8 yards

3 yards by 7 yards

4 yards by 6 yards

Step-by-step explanation:

the perimeter of the rectangular yard needs to be 20 yards

Perimeter of a rectangle = 2 x ( length + width)

20 = 2 x ( length + width)

( length + width) = 20 /2

( length + width) = 10

The sum of the length and width should equal 10

Possible dimensions that would equal 10 are :

1 yard by 9 yards

2 yards by 8 yards

3 yards by 7 yards

4 yards by 6 yards

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How to prove triangles are congruent
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Answer:

Step-by-step explanation:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

8 0
2 years ago
Read 2 more answers
Select the correct answer.
eduard

If 30 is half price, then what is full price?

You can set up this problem like this:

30 = x/2

OR

30 = (1/2)x

where x is the full price.

To solve, simply multiply each half by 2:

2(30) = 2((1/2)x)

<u>x = $60</u>

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What is x<br><br> g(x) = 2x + 9
Hitman42 [59]
The answer is 3x (I need 20 characters to send response so here is random words to fill space baidhevebejdb)
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2 years ago
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Roger is paid $50 to sell videos of a play to an audience after the play is performed.
emmasim [6.3K]
<h3>Answer: Choice A</h3>

The set of all even integers greater than or equal to 50 and less than or equal to 510

In other words, 0 \le E \le 510 where E is an even integer.

===========================================================

Explanation:

The domain is the set of allowed inputs, while the range is the set of allowed outputs. For now, let's focus on the domain.

In this case, the domain is the set of integers between 0 and 230. We're dealing with the set {0,1,2,..., 229, 230} to represent the possible number of people who bought the video.

Let's plug in the smallest item from the domain (v = 0).

E = 50+2v

E = 50+2*0

E = 50+0

E = 50

This matches with the fact Roger gets paid $50 even if he didn't sell anything. This is the flat up front fee he got.

Now let's plug in the largest value for v (230).

E = 50+2v

E = 50+2*230

E = 50+460

E = 510

This tells us that $510 is the most Roger can get from the audience of 230 people. This is assuming that each person buys only one copy.

So we can see that the range of E values spans from $0 to $510.

Furthermore, notice that 2 can be factored from 50+2v to get 2(25+v). This shows that the expression 50+2v is always even. Therefore, we must clarify that we're dealing with the set of even numbers between 0 and 510

In symbolic form, we'd say 0\le E \le 510 where E is an even integer.

In roster form, the range of possible E values is {0, 2, 4, ..., 506, 508, 510}.

7 0
2 years ago
In 1603, German astronomer Christoph Scheiner began to copy and scale diagrams using an instrument that came to be known as the
Olenka [21]

Answer:

See numbered answers

Step-by-step explanation:

1.    The pin’s placement helps to make two drawings simultaneously. This is that while drawing an image a copy, which may vary in size, is created at the same time.

2.    The pantograph relates to dilations and similarity due to the use of similar triangles that affect the scale of the second drawing.  

3.    The use of similar triangles illustrates the process of the pantograph because the ratio of similitude is set when determining where to place the pin. When a triangle is moved while tracing a line, along with the outline of the image, an enlarged/reduced version of the image is created by the other pantograph's end.

4.    The pantograph is now obsolete and has been replaced by several different ways of producing duplicates such as photocopying, mass printing, and digital filing.

5 0
3 years ago
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