Draw or Cut two similar squares with sides units long.
Draw or cut four pairs of similar right triangles with side lengths as indicated in the diagram.
Now arrange the similar triangles at the corners of the squares such that the sides of one similar triangle plus the side of a second similar triangle coincides with the length of the square.
We do another arrangement of the similar triangles. This time arrange another 4 similar triangles in the opposite corners, such that each pair forms a square.
Now comparing the two different arrangements we got two different areas that are equal.
The area of the uncovered squares in the first arrangement is
The area of the two uncovered squares in the second arrangement is
Equating the two areas gives the Pythagoras Theorem
Note that is the hypotenuse, and are two shorter sides of the similar right triangles.
Does 0.007/10=0.07
true or false?
Answer:
NO if you wanted to get 0.07 you would have to multiply not divide.
Step-by-step explanation:
0.007/10=0.0007
The numbers of passengers that need to be booked to ensure the cruise line makes a profit, using a compound inequality is x ≥ 2,052 and x ≤ 2,462.
<h3>How to illustrate the inequality?</h3>
From the information given, we are told that the cruise ship needs to book at least 2,052 passengers to be profitable, but the most passengers the ship can accommodate is 2,462.
Learn x be the number of people that can be accommodated. Therefore, the model is x ≥ 2,052 and x ≤ 2,462.
Learn more about inequalities on:
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❄ Hi there,
keeping in mind that the sum of complementary angles is 90°,
set up an equation, letting be x –
{and we know that }
__________
Keeping in mind that a right angle is 90°,
set up an equation, letting be x:
{and we know that }
❄
2x+2
Work:
Factor 2x^2+10x+12: 2(x+2)(x+3)
Cancel all x+3, leaving 2(x+2)
2x+2