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Colt1911 [192]
3 years ago
8

HELP PLEASE!! ASAP!!

Mathematics
1 answer:
densk [106]3 years ago
4 0

Answer:

The estimated distance is 8.1cm.

The actual distance is 8.106cm.

Step-by-step explanation:

Given that the Pythogorean Theorem, c² = a² + b². Then substitute the following values into the formula :

{c}^{2}  =  {a}^{2}  +  {b}^{2}

Let a = 5.1cm,

Let b = 6.3cm,

{c}^{2}  =  {5.1}^{2}  +  {6.3}^{2}

{c}^{2}  = 26.01 + 39.69

{c}^{2}  = 65.7

c =  \sqrt{65.7}

c = 8.106cm \: (3d.p)

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Step 1: Rewrite the equation

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Step 2: Combine like terms


-14+6b+7-2b=1+5b

-7+4b=1+5b


Step 3: To isolate b, first add 7 on both sides

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4b=8+5b


Step 4: Again, trying to isolate b, subtract 5b on both sides

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Step 5 (final step): Because the variable cannot be negative for a final answer, multiply each number by -1.

-1(-b=8)

b= -8


Final Answer: b=-8

Hope this helps :)
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