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Oliga [24]
3 years ago
8

Find the exact length of the third side

Mathematics
1 answer:
Daniel [21]3 years ago
7 0

Answer:

√23

Step-by-step explanation:

When you are given two side lengths of a right triangle, you use the Pythagorean theorem to find the third side: a² + b² = c², where c is the hypotenuse (the longest side).

All you have to do is plug the given information in:

Remember, 13 is the hypotenuse for this triangle.

12² + b² = 13²

Simplify:

144 + b² = 169

Subtract 144 from both sides:

b² = 169-144

b² = 23

Square root both sides:

b = √23

And that's your answer!

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3 years ago
Bank a charges a $35 monthly fee for a checking account debit card with the limited train fashion bank b charges a $15 monthly f
amid [387]

Total charges from bank A exists $15.

Total charges on Bank B spending exists $45.

<h3>How to estimate the Total charges on bank B?</h3>

Given: Bank A charges a $15 monthly fee for a checking account and debit card, with unlimited transactions.

Shade 25 transactions.

Total charges from bank A = $15 monthly

Bank B charged a $35 monthly fee for a checking account and debit card, plus $ 0.70 for each transaction.

She made 25 transactions.

Total charges on bank B = $35 + (0.40)25

Total charges on bank B = $35+10

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4 0
2 years ago
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7 0
3 years ago
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8 0
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Verify that f has an inverse. then use the function f and the given real number a to find (f −1)'(a). (hint: see example 1. if a
jek_recluse [69]
We have that

f(x) = x + 2 x − 6------------ > <span>f(x) = 3x− 6
</span>The function is continuous in the interval (-∞,∞)
<span>
y=3x-6--------- >3x=y+6------> x=(y+6)/3

</span>Interchange x and y<span> to find the inverse function
</span><span>(f −1)(x)=(x+6)/3----> (x/3)+2
</span>Apply derivative <span>with respect to x</span>
(f −1)'(x)=1/3 
for all values of x  (f −1)'(x)=1/3 

therefore
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3 0
3 years ago
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