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Salsk061 [2.6K]
4 years ago
9

Please help!! Find A

Mathematics
1 answer:
Triss [41]4 years ago
6 0

Answer:

  (5/2)√13 ≈ 9.0139

Step-by-step explanation:

The longer hypotenuse is found using the Pythagorean theorem as ...

  \sqrt{8^2+12^2}=\sqrt{208}=4\sqrt{13}

The right triangles are AA similar, and vertical sides correspond. Their ratio, smaller/larger is 5/8. That means the hypotenuse of the smaller triangle, A, is 5/8 of the hypotenuse of the larger one.

  A=\dfrac{5}{8}\cdot 4\sqrt{13}= \dfrac{5\sqrt{13}}{2}

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A city has a 5% sales tax. A book costs 32.55 after tax. How much did he cost before tax?
deff fn [24]
First step is to turn 5% into a decimal -- 0.05
Next, find out what 5% of $32.55 is by multiplying
0.05 x 32.55
= 1.6275
Round to the nearest cent
= $1.63
This is the amount of tax $32.55
If we want to know what it the book costs before tax we simply take the tax off.
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2 years ago
Which of these conditions might be true if polygons ABCD and KLMN are similar?
Nimfa-mama [501]
I would say B.The measures of corresponding angles of ABCD and KLMN are in the ratio 1 : 2, but the lengths of corresponding sides of ABCD and KLMN are not proportional.
4 0
4 years ago
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A store owner has a total of 87.95 lbs of
Morgarella [4.7K]

Answer:

12.56

Step-by-step explanation:

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2 years ago
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Y=x+12<br> 4x+2y=27<br> Solve each system of equation algebraically
Maslowich
Solve by Substitution :

// Solve equation [1] for the variable <span> y </span> 
<span> </span>

[1] <span>y = </span><span>x </span>+ 12

// Plug this in for variable <span> y </span> in equation [2]

<span>  [2] <span>2•</span>(<span>x </span>+12)<span> + 4x</span> = 27 </span><span>  [2] <span>6x</span> = 3 </span>

// Solve equation [2] for the variable <span> x </span> 

<span>  [2] <span>6x = </span>3</span>  <span>  [2] <span>x = </span>1/2</span> 

<span>// By now we know this much :</span>

<span> <span> y = </span><span>x</span>+12</span> <span> <span> x = </span>1/2</span>

<span>// Use the <span> x </span> value to solve for <span> y </span> 
</span>

<span> <span>  y = </span><span>(1/2)</span>+12 = 25/2 </span>Solution :<span> {<span>y</span>,<span>x</span>} = {<span>25/2</span>,<span>1/2</span>}</span>  <span>y=x+12;4x+2y=27 </span>Solution :<span><span> {y,x} = {25/2,1/2}</span>  </span>System of Linear Equations entered : [1] y=x+12 [2] 4x+2y=27 Equations Simplified or Rearranged :<span><span>  [1] y - x = 12 </span><span>  [2] 2y + 4x = 27</span></span>
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4 years ago
Perform the indicated operation. Assume that all variables represent non-negative real numbers
Slav-nsk [51]

Without a vale to substitute for the variable, we can only simplify the expression: since 8=4\cdot 2 and 50 = 25\cdot 2, the expression becomes

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Now we can factor \sqrt{2m}:

-8\sqrt{2m}+35\sqrt{2m} =\sqrt{2m}(-8+35) = 27\sqrt{2m}

6 0
3 years ago
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