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3 years ago

9. Which of the following could be the side measures of a right triangle?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

6 0

Answer:

A. 5 ft, 4 ft, 3 ft

Step-by-step explanation:

When you use the Pythagorean theorem with the numbers of the first choice, you find that these could be the sides of a right triangle:

3² + 4² = 9 + 16 = 25 = 5²

You have found the correct answer at this point.

_____

If you want to check, you can examine the other choices:

C: 6² +10² = 136 ≠ 11²

B: 2² +4² = 20 ≠ 6²

D: 5² +10² = 125 ≠ 15²

_____

<em>Comment on 3-4-5 triangle</em>

As you can see from the above, side measures of 3, 4, and 5 will form a right triangle. This is the smallest set of integers that will do so. It is also the ratios of the only set of side lengths in arithmetic progression that will do so.

This latter fact can help you rule out choices B and D in this problem, because each of those has sides in the progression 1 : 2 : 3.

(3, 4, 5) triangles come up often in algebra and geometry problems. This is a useful "Pythagorean triple" to remember.

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What is the value of p in the question below. 10x9/2x4= px 5

ycow [4]

Answer:

p = 5

Step-by-step explanation:

We have that:

$\frac{x^{a}}{x^{b}} = x^{a-b}$

$\frac{x^{9}}{x^{4}} = x^{9-4} = x^{5}$

10/2 = 5

Then

$\frac{10x^{9}}{2x^{4}} = 5x^{9-4} = 5x^{5}$

Finding p:

$5x^{5} = px^{5}$

$p = \frac{5x^{5}}{x^{5}}$

$p = 5$

7 0

3 years ago

Nine yards of ribbon are cut into 8 equal pieces what is the length of each piece of ribbon. Write a division expression to repr

PSYCHO15rus [73]

Answer:

$x=\frac{9}{8}\ yards$

$x=1.125\ yards$

Step-by-step explanation:

Let's call x the length of each piece in yards

If the ribbon is cut into 8 equal pieces then the sum of the pieces is:

$x+x+x+x+x+x+x+x=8x$

Then:

$8x=9\ yards$

Now we solve the equation for x

$8x=9\ yards$

Divide both sides of equality by 8

$\frac{8}{8}x=\frac{9}{8}\ yards$

$x=\frac{9}{8}\ yards$

So the length of each piece is $\frac{9}{8}$ of a yard.

This is: 1.125 yards

6 0

3 years ago

on a standardized exam the scores are normally distributed with a mean of 70 and a standard deviation of 20. find the z of a per

KIM [24]

The z-score of a person who scored 128 on the exam is equal to 2.9

<h3>What is a z-score?</h3>

A z-score is also referred to as a z-value or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:

$z=\frac{x\;-\;u}{\sigma}$

Where:

x represents the sample score.
u represents the mean score.
σ represents the standard deviation.

Substituting the given parameters into the formula, we have;

Z-score, z = (128 - 70)/(20)

Z-score, z = 58/20

Z-score, z = 2.9

Read more on z-scores here: brainly.com/question/26714379

#SPJ1

5 0

1 year ago

A line contains the point (5,-7). If the slope of the line is m=3/5, write the equation of the line using slope-intercept form.

AleksAgata [21]

Y=3/5x - 7 is the equation in slope intercept form

3 0

3 years ago

Make x the subject of m=n+x/3

k0ka [10]

Answer:

x=3m-n

Step-by-step explanation:

Isolate x.

3m=n+x

3m-n=x

x=3m-n

3 0

2 years ago