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NemiM [27]
3 years ago
10

What is the value of x? If sin (8x - 18)º = cos (5x + 4)°

Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0

Answer:

Answer x  = 8

Step-by-step explanation:

(5x + 4) + (8x - 18)= 90      The two angles must be complementary for this to work. Remove the brackets

5x + 4 + 8x - 18 = 90          Collect like terms

13x - 14 = 90                        Add 14 to both sides

13x = 104                              Divide by 13  

x = 8 Answer

Check

Sin(8*8 - 18) = sin(64 - 18) = sin(46) = 0.7193

Cos(5*8 + 4) = cos(44) = 0.7193

This problem is very interesting. Thanks for posting.

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Step-by-step explanation:

If it's a constant 12 miles per hour then it would be

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8 0
2 years ago
Money is borrowed at 15% simple interest. After one year,$1181.05 pays off the loan. How much was originally borrowed?
marin [14]

Answer: $787 was originally borrowed.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

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R represents interest rate

T represents the duration of the loan in years.

From the information given,

Total amount = $1181.05

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1181.05 - P

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1181.05 - P = (P × 15 × 1)/100

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5 0
3 years ago
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lilavasa [31]

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Step-by-step explanation:

8 0
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natulia [17]

Answer:

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sergij07 [2.7K]

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6 0
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