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g100num [7]
3 years ago
11

HELP!!!!!!!!!!!!!!!!!!!!!!!!!! Can U Answer All These.

Mathematics
1 answer:
mash [69]3 years ago
3 0

<u>QUESTION 1</u>

In figure A, the area of the bigger square is 625\:units^2. This means that the length of this square is the hypotenuse of the right angle triangle formed, which is 25\:units.

The area of the two smaller squares are 576\:units^2 and 49\:units^2.


The length of these two squares form the two shorter legs of the right angle triangle, which are 24 and 7 units respectively.


Therefore we can write the equation, 576+49=625.


This implies that, 24^2+7^2=25^2


We can see that the sum of the squares of the two shorter legs equals the square of the longer side which is the hypotenuse and this what the Pythagoras theorem says.


But in fig. B,

5^2+4^2\ne 6^2


Therefore the correct answer is Fig A.


<u>QUESTION 2</u>

See diagram.

We introduce the two lines as shown in the diagram.

From Pythagoras' Theorem,

|AB|^2=|AC|^2+|BC|^2


But |AC|=|7-3|=4 units.


and

|BC|=|8-2|=6 units.

This implies that,

|AB|^2=4^2+6^2


|AB|^2=16+36


|AB|^2=52


|AB|=\sqrt{52}


|AB|=2\sqrt{13}


|AB|=7.2 to the nearest tenth.



<u>QUESTION 3</u>

The numbers 3,4 and 5 form a Pythagorean triplet because 3^2+4^2=5^2.


If these numbers represent the side lengths of a triangular fence, then the triangular fence must be a right angle triangle.

The correct answer is B

Yes,because  3^2+4^2=5^2.


<u>QUESTION 4</u>

See graph.

We want to find the image of the triangle with vertices A(-5,-4), B(-2,-4), and C(-5,-1) after a reflection in the x-axis.

The mapping for this transformation is

P(x,y)\rightarrow P'(x,-y).


We just have to negate the y-coordinates.

A(-4,-5)\rightarrow A'(-4,5).


B(-4,-1)\rightarrow B'(-4,1).


C(-5,-1)\rightarrow C'(-5,1).








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sineoko [7]

Answer:

3 root 2, a

Step-by-step explanation:

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3 0
3 years ago
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tia_tia [17]

Answer: 7.5 miles

Step-by-step explanation:

think of it as a triangle; the bold line is the hypotenuse, or x.

 8   |\   x

      |_\              it's not a good triangle but you get the point

       6

and then get out pythagorean theorem: a^2+b^2=c^2

put the numbers in: 8^2 + 6^2 = x^2

do some math:

64+36=x^2

100=x^2 (and then find square root)

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<u>BUT</u>, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5

6 0
2 years ago
Question 4 of 10
soldi70 [24.7K]

Answer:

d. y=5x-3

Slope-intercept form is y=mx+b.

m= slope

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Substitute with those values and then you have the equation.

3 0
2 years ago
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A volleyball league organizer collected $2,040 for both divisions of volleyball teams.teams.the blue division costs &amp;160 per
evablogger [386]

A volleyball league organizer collected $2,040 for both divisions of volleyball teams. The Blue division costs $160 per team and the Red division cost $180 per team. How many teams will play in each division.

<h3><u>Answer:</u></h3>

6 teams will play in each division

<h3><u>Solution:</u></h3>

Given that volleyball league organizer collected $2,040 for both divisions of volleyball teams

The blue division costs $160 per team

The Red division cost $180 per team.

Let the number of blue teams be "b"

Let the number of red teams be "r"

Total cost = number of blue teams x cost of blue division per team + number of red teams x cost of red division per team

Total cost = 160b + 180r

2040 = 160b + 180r

Assuming both divisions have the same number of teams, we substitute b = r = x

2040 = 160x + 180x

2040 = 340x

x = 6

So 6 teams will play in each division

4 0
3 years ago
1
Valentin [98]

Answer 20 are left

Step-by-step explanation:

6 0
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