3 years ago

If x = 8 units, y = 4 units, and h = 4 units, find the area of the rhombus shown above using decomposition.

Mathematics

1 answer:

MrMuchimi3 years ago

7 0

Answer:

can I see a picture?? .............

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Maria bikes 15 miles per hour and starts at 10 miles. Glen bikes 20 miles per hour and starts at 0 mile. At what time and distan

Ilya [14]

10/(20-15)=2 hours
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15*2+10=40 miles
Glen catch up with Maria after 2 hours at 40 miles

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3 years ago

Use the following image to assist in your answer.<br> a =<br> - 6<br> - 9<br> - 4

vfiekz [6]

Step-by-step explanation:

Pythagoras' theorem for the smallest one :

$c^2 = 4^2 + 6^2$

$c^2 = 16 + 36$

$c^{2}$ = 52

Pythagoras' theorem for the middle one :

$b^{2}$ = $6^{2}$ + $a^{2}$

Pythagoras' theorem for the biggest one :

$(4+a)^2 = c^2 + b^2$

$16 + 8a + a^2 = 52 + b^2$

Using the formula before (for $b^2$ ) it becomes :

$16 + 8a + a^2 = 52 + (6^2 + a^2)$

$16 + 8a + a^2 = 52 + 6^2 + a^2$

$16 + 8a = 52 + 6^2$

16 + 8a = 52 + 36

16+8a = 88

8a = 88-16

8a = 72

$a = \frac{72}{8}$

a = 9

Verifying :

$b^2 = 6^2 + a^2$

$b^2 = 36 + 81$

$b^2 = 117$

$b^{2}$ = 117

The biggest one :

$(4+a)^2 = c^2 + b^2$

$(4+9)^2 = 52 + 117$

$13^2 = 169$

True

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3 years ago

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nekit [7.7K]

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3 years ago

6 qts equals ? pints 8 qts equals ? gallons and 48 fl oz equals ? cups

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6 quarts equals 12 pints
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48 fl oz equals 6 cups

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