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saveliy_v [14]
3 years ago
11

a man pays 330 each month for his gym membership what is the change in the amount of money in his account after two thirds of a

year
Mathematics
1 answer:
olasank [31]3 years ago
6 0

\dfrac{\$330}{1\,month}\times\dfrac{12\,month}{1\,year}\times\dfrac{2}{3}\,year\\\\=\$2640

The account will have decreased by $2640 after 2/3 year.

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Given sin θ = 3/5 what is sec θ?
PIT_PIT [208]

Answer:

5/4

Step-by-step explanation:

To do this you must know that by definition secant is:


sec(\theta)=\frac{1}{cos(\theta)}


Furthermore:

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}


Based on this information we know that 3 = opposite and 5 = hypotenuse.  Assuming this is a right triangle we can determine the adjacent side by Pythagorean Theorem.

c^2=a^2+b^2

Where c is the hypotenuse, a is adjacent and b is opposite.  Therefore,

c^2=a^2+b^2\\\\a=\sqrt{c^2-b^2} \\\\a=\sqrt{5^2-3^2} \\\\a=4


And so the adjacent side of this triangle is 4.  Going back to the definition of secant we can now know that:

sec(\theta)=\frac{1}{cos(\theta)}=\frac{1}{\frac{4}{5}}=\frac{5}{4}

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I need help with this please
Archy [21]

Answer:

5 and 7/12

Step-by-step explanation:

2 1/4=3/12

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write the computation in words for an expression that uses all four operations (addition, subtraction, multiplication, and divis
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The sum of four times a number and the quotient of the number and five subtracted by one:
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Rewrite 4 1/2=2 <br> please
Luda [366]

The logarithmic expression of 4^(1/2) = 2 is \log_4(2) = \frac 12

<h3>How to rewrite the expression?</h3>

The expression is given as:

4^(1/2) = 2

Take the logarithm of both sides

log(4^(1/2)) = log(2)

Apply the change of base rule

1/2log(4) = log(2)

Divide both sides by log(4)

1/2 = log(2)/log(4)

Change the base

\frac 12 =\log_4(2)

Rewrite as:

\log_4(2) = \frac 12

Hence, the logarithmic expression of 4^(1/2) = 2 is \log_4(2) = \frac 12

Read more about logarithmic expression at:

brainly.com/question/24211708

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