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Fynjy0 [20]
3 years ago
14

0rder the set of numbers from least to greatest. 0.047,0.5%,1/20,1.5%

Mathematics
1 answer:
Sedbober [7]3 years ago
3 0
Expressing the numbers as decimal, we have
0.5% = 0.5/100 = 0.005
1/20 = 0.05
1.5% = 1.5/100 = 0.015

From least to greatest, we have: 0.5%, 1.5%, 0.047, 1/20
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Find the length of a rectangle with a diagonal of 10 and a height of 8.
Dmitry_Shevchenko [17]

Answer:

The length of the rectangle is 6.

Step-by-step explanation:

Given: The diagonal of a rectangle is 10 and the height is 8.

Please understand, that a diagonal, divides the rectangle into two tringles.

To find the length of the rectangle, you can use Pythagoras on one of the right sided triangles, because the length of the triangle, is also the length of the rectangle!

<em>EXTRA:</em>

<em>If</em><em> you know the special 3 4 5 triangle, a so called Pythagorean Triple, then you can "see" the simularity between the numbers.</em>

<em>Instead of 5, a diagonal of 10 is given (factor of 2 bigger).</em>

<em>Instead of 4, the height of 8 is given (factor of 2 bigger</em><em>)</em><em>.</em><em> </em><em>By scaling the Pythagorean Triple 3 4 5 by a factor of 2, you get the numbers 6 8 10. Could it be, that the number we need to find, is six?</em>

Try to verify, by calculating the missing number (which is the length of the rectangle we are looking for).

a² + b² = c²

a = length (and is unknown)

b = height = 8

c = hypothenusa/diagonal = 10

Substitute the numbers given:

a² + 8² = 10²

Subtract 8² left and right of the = sign.

a² +8² -8² = 10² - 8²

a² + 0 = 100 - 64

a² = 36

a = + - √36

a = + - 6

<em>EXTRA</em><em>:</em>

<em>You</em><em> can ignore the -√36 = -6 part of the solution, because a length of -6 has no meaning here.</em>

a = 6

So, the length of the triangle is 6 and thus, the length of the rectangle is also 6.

8 0
3 years ago
Ty
AlekseyPX

Answer:

1

1

3

3

Step-by-step explanation: just cuz

8 0
3 years ago
Which of the following is not a solution for finding the perimeter of the square?
kenny6666 [7]

Answer:

y

Step-by-step explanation:

y needs to provide a number

7 0
3 years ago
Somebody help me lol
Lapatulllka [165]

Answer:

c

you subtract the exponents when dividing numbers with the same base

4 0
3 years ago
5x8(34-21+62)•56% 628^6 53%•927
sdas [7]

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5 0
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