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Kruka [31]
3 years ago
7

Michael walked into a department store and decided to buy a Christmas tree for $22.75. Michael handed the salesperson $24 for hi

s purchase. How much change did Michael receive back?
Mathematics
2 answers:
Setler79 [48]3 years ago
8 0
$1.25 was what he received back
Misha Larkins [42]3 years ago
7 0

$1.25 was his change

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Solve for x. (Geometry)
GaryK [48]

Hello from MrBillDoesMath!

Answer:   9

Discussion

By the Pythagorean theorem, the length of the third side (the hypotenuse) in the triangle with sides 4 and 6 is sqrt ( 4^2 + 6^2) = sqrt (52)

Applying Pythagoras to the left most triangle (sides, x and 6) gives:

x^2 + 6^2 = m^2     (I am calling the unknown side "m)

Finally, in the big right triangle (the one containing the two right triangles)

(x + 4) ^2  =   (sqrt(52)) ^2  + m^2


OK!   Subtract the first equation from the second:

   (x+4)^2             = 52 + m^2

   x^2     + 36      =          m^2

-----------------------------------------------------


( x+4)^2 - x^2 - 36 = 52 + (m^2 - m^2)  =>

x^2 + 8x + 16  - x^2 -36 = 52  =>

x^2 - x^2 + 8x + 16 -36 = 52 =>

0 +              8x - 20       = 52 =>

8x = 72 =>

x = 9




Thank you,

MrB

4 0
3 years ago
A beetle is 1/5 inch wide and 2/5 inch long. How much greater is the beetle's length than its width?
Neporo4naja [7]

Answer:

2 times as long

Step-by-step explanation:

2/5 divded by 1/5 equals two

6 0
3 years ago
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