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Dmitriy789 [7]
3 years ago
6

Given sin x = 7/25 and cos x = 24/25 what is the ratio for tan x

Mathematics
2 answers:
Rudiy273 years ago
7 0
TanX = SinX/CosX

TanX = 7/25 ÷ 24/25

Tanx = 7/25 * 25/24

TanX = 7/24...
amm18123 years ago
3 0
<h2>Answer:</h2>

The ratio for tan x is:

                   \dfrac{7}{24}

<h2>Step-by-step explanation:</h2>

We are given a value of the sine trignometric function as:

     \sin x=\dfrac{7}{25}

and the cosine trignometric function is given by:

   \cos x=\dfrac{24}{25}

We are asked to find the value of the tangent function.

We know that the tangent trignometric function is given by the formula:

\tan x=\dfrac{\sin x}{\cos x}

Hence, by putting the value of sine and cosine function in the formula we get:

\tan x=\dfrac{\dfrac{7}{25}}{\dfrac{24}{25}}\\\\\\i.e.\\\\\\\tan x=\dfrac{7}{24}

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The water pressure for a standard fire hydrant is 20 pounds per square inch. Convert this to
Kaylis [27]
<h3>Answer:    2880 pounds per square foot</h3>

==========================================================

Explanation:

psi = pounds per square inch

1 foot = 12 inches

1 square foot = 144 square inches

I squared both sides to get the second equation. Think of a 12 by 12 square representing 12 inches along each side, so that leads to 12*12 = 144 square inches being the same as 1 square foot.

That last equation helps us convert from square inches to square feet like so:

20 \text{ psi} = \frac{20 \text{ pounds}}{1 \text{ square inch}}\\\\20 \text{ psi} = \frac{20 \text{ pounds}}{1 \text{ square inch}}*\frac{144 \text{ square inches}}{1 \text{ square foot}}\\\\20 \text{ psi} = \frac{20*144}{1*1}*\frac{\text{ pounds}}{\text{ square foot}}\\\\20 \text{ psi} = \frac{2880 \text{ pounds}}{1 \text{ square foot}}\\\\20 \text{ psi} = 2880 \frac{\text{ pounds}}{\text{ square foot}}\\\\20 \text{ psi} = 2880 \text{ pounds per square foot}\\\\

Notice in the jump from the second step to the third step, we have the "square inches" unit cancel out when dividing. All that's left is "pounds" up top and "square foot" down below.

In short, we simply multiply by 144 to go from 20 to 2880.

5 0
2 years ago
Need help!! Please!! Offering 20 points!
pshichka [43]

Answer:i

Step-by-step explanation:

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3 years ago
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
NeX [460]

Answer:

0.674

Step-by-step explanation:

If the random variable X is exponentially distributed and X has an average value of 25 minutes, then its probability density function (PDF) is

\bf f(x)=\frac{1}{25}e^{-x/25}\;(x\geq 0)

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\bf P(X\leq 28)=1-e^{-28/25}=1-e^{-1.12}=0.674

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3 years ago
Help, I'm sort of confused. Find the percent error. Round to the nearest whole percent if necessary. Each week, Mr. Jones goes t
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