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blondinia [14]
3 years ago
5

Two sides of a right triangle have the lengths 4 and 5. What is the product of the possible lengths of the third side? Express t

he product as a decimal rounded to the nearest tenth.
Mathematics
1 answer:
marishachu [46]3 years ago
6 0

Answer:

19.2

Step-by-step explanation:

<u>1st Case:</u>

4 and 5 are legs of the right triangle.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+5^2=x^2

16+25=x^2

41=x^2

x=√41

√41 is about 6.4

x=6.4

<u>2nd Case</u>

5 is the hypotenuse of the right triangle and 4 is the legs.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+x^2=5^2

16+x^2=25

x^2=9

x=3

<u>Final Step</u>

We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2

Anwser: <u>19.2</u>

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prohojiy [21]

Answer:

I don't see how the three existing points could ever become a square with the addition of a foiurth point.

Step-by-step explanation:

See the attached image.

A square would require that all angles be 90 degrees.  The given points are the top three points on the graph.  If we enter the two equations that intersect these points (blue and black lines), we can see that the angle on top is not 90 degrees.  I can't see that this could ever be a square with a fourth point, z.  I did find a value for z that make the four points a parallelogram.

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2 years ago
1/5 of the shoes in a factory are green. If you pick a shoe, replace it, pick another shoe and replace it, and pick a third shoe
Ne4ueva [31]

Answer:

The probability that none of the three shoes selected are green = 64/125

Step-by-step explanation:

If we have 1/5 of shoes being green, then the number of non-green shoes = 1-1/5 = 4/5

Now, this is a probability with replacement.

probability of the first shoe since it’s not green = 4/5

probability of second shoes since it’s not green = 4/5

probability of third shoe since it’s not green = 4/5

Now, the probability that none of the shoes are green = 4/5 * 4/5 * 4/5 = 64/125

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2 years ago
ngozi earns \$24{,}000$24,000dollar sign, 24, comma, 000 in salary in the first year she works as an interpreter. each year, she
goblinko [34]

The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by S = 24000 *  (1.035)^t.

What is a function?

  • A function in mathematics from a set X(ax) to a set Y allocates exactly one element of Y to each element of X(ax).
  • A relation between a collection of inputs and labor is known as a function.

You can use the fact that the raise is done on the previous year's salary.

Let the initial salary be P = $24000

After 1 year, her salary increased by R = 3.5% which, thus,

Total salary = P + increment

Similarly going on, we get

P_t = P(1+ \frac{R}{100})^t = S (we can say)

Putting values of P(value of P) and R(value of R), we get

S = 24000(1 + 0.035)^t = 24000 *(1.035)^t

Thus,

The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by

S = 24000 *  (1.035)^t

Learn more about function here:

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Find the sale price of each item. Round to two decimal places when necessary.
svetlana [45]
The actual price is $59.63 BUT when you round it is $60.00
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Quick algebra 1 assignment for 50 points!
Sergeeva-Olga [200]

The example on direct variation is illustrated below based on the information given.

<h3>How to illustrate the direct variation?</h3>

An example will be:

When x = 2, y = 10. Find the value of y when x is 6.

In this case, this will be calculated thus:

y = kx

10 = 2k

k = 10/2

k = 5

Since y = kx.

y = 5 × 6

y = 30

The value of y is 30.

Learn more about variation on:

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3 0
1 year ago
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