<h2>
Hello!</h2>
The answer is:
The length of "x" is equal to 4 units.
<h2>
Why?</h2>
To solve the problem and find the length of x, we need to remember the alternate angles rule. The alternate angles rule establish that alternate angles will be also equal.
So, for the triangles, we have:
The angle((α)) formed between the base (2.5) and the hypotenuse (5) of the big triangle is equal to the angle(α) formed between the base (2) and the hypotenuse (x) of the small triangle. It also means that the triangles are similar since they have congruent angles(α) and proportional sides (SAS).
We are given:
First triangle,
Second triangle,
So, using the cosine identity, we have:
Therefore, we have that the hypotenuse of the second triangle (x) is equal to 4 units.
Hence, the length of "x" is equal to 4 units.
Have a nice day!
Replace the CIRCLES by A and the SQUARES by B:
1) A + B = 14 And
2) A - B = 2
Add 1) + 2)
A+B =14
A-B = 2
------ ----
2A+0 = 16 then A = 16/2 = 8. If A = 8, then B = 6
So the CIRCLE = 8 and the SQUARE = 6
The solution to this question is 39.0625.
This is because you will need to multiply the width by height. As this is in square feet it will be irrespective of which two sides we choose.
The calculation that will need to be done is the following :
6.25ft X 6.25ft which will equal 39.0625.
6.25 has three significant digits so rounding 39.0625 off to three significant digits is 39.1 square feet
There are 52 weeks in a year. In order to figure out how much you have to save each week to save a total of $2000, you have to divide $2000 by 52.
2000÷52= 38.462
So to save $2000 you would have to set aside about $38.50 each week.
$27.44 USD. Would be the correct answer.
