All categories

3 years ago

I WILL GIVE BRAINLIEST!!! PLZ HELP ASAP!!!!!!

Mathematics

1 answer:

9966 [12]3 years ago

8 0

The set 18 , 24 , 30 represents a Pythagorean triple ⇒ answer B

Step-by-step explanation:

Let us explain how to check the set represents a Pythagorean triple

1. Square the largest number

2. Find the sum of the squares of the other 2 numbers

3. Check if the square of the largest number equal the sum of the

squares of the other 2 numbers or not, if they are equal then the

set represents a Pythagorean triple

A. In set 60 , 70 , 100

∵ The longest side is 100 cm

∴ (100)² = 10,000

∵ (60)² + (70)² = 8,500

∵ (100)² ≠ (60)² + (70)²

∴ The set doesn't represent a Pythagorean triple

B. In set 18 , 24 , 30

∵ The longest side is 26 cm

∴ (30)² = 900

∵ (18)² + (24)² = 324 + 576 = 900

∵ (30)² = (18)² + (24)²

∴ The set represents a Pythagorean triple

C. In set 10 , 14 , 17

∵ The longest side is 17 cm

∴ (17)² = 289

∵ (10)² + (14)² = 100 + 196 = 296

∵ (17)² ≠ (10)² + (14)²

∴ The set doesn't represent a Pythagorean triple

D. In set 10 , 20 , 30

∵ The longest side is 30 cm

∴ (30)² = 900

∵ (10)² + (20)² = 100 + 400 = 500

∵ (30)² ≠ (10)² + (20)²

∴ The set doesn't represent a Pythagorean triple

The set 18 , 24 , 30 represents a Pythagorean triple

Learn more:

You can learn more about Pythagoras Theorem in brainly.com/question/1238144

#LearnwithBrainly

You might be interested in

Which equation represents the same line as the points in the table

vodomira [7]

Answer:

$y=\frac{-3}{4} x+2$

Step-by-step explanation:

First, we can find the slope using the slope equation and two of the points.

Slope equation:

$m=\frac{y2-y1}{x2-x1}$

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

$m=\frac{2-5}{0--4}$

Simplify:

$m=\frac{-3}{4}$

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

$y=\frac{-3}{4} x+2$

7 0

3 years ago

Read 2 more answers

The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an

ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu = 20, \sigma = 2$

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{19.5 - 20}{2}$

$Z = -0.25$

$Z = -0.25$ has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{22 - 20}{2}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413

X = 20

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{20 - 20}{2}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0

3 years ago

Sarah had 16 stickers. Al gave her 25 more. How many stickers does Sarah have now?

Amiraneli [1.4K]

Answer:

Sarah had 16 stickers. Al gave her 25 more. How many stickers does Sarah have now? 41

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The amount of money the athletic booster club raised for the year is modeled by the function f(x) = 250x + 750. How much money d

nataly862011 [7]

The answer is b) $750

7 0

3 years ago

Read 2 more answers

angelo rode his bike around a bike trail that was 1/4 of a mile long.he rode his bike around thetrail 8 times.Angelo says he rod

forsale [732]

Hi there!

From this problem we can pull out some key information and remove any excess.

- The trail is 1/4 of a mile long.
- Angelo rode around the trail 8 times.
- Angelo claims he rode 8/4 miles.
- Teresa claims he rode 2 miles.

From that we know that if Angelo rode around the trail 8 times and the trail is 1/4 a mile, he in total rode 8/4 of a mile.

However, Teresa claims he rode 2 miles!

And the answer is... they're both correct!

Angelo did indeed ride 8/4 miles however that is equivalent to 2 miles so they are both in the right.

7 0

4 years ago