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3 years ago

A right triangle has a leg of 12 cm and a hypotenuse of 19 cm.

Mathematics

1 answer:

Yakvenalex [24]3 years ago

6 0

Answer:

14.7 cm

Step-by-step explanation:

Using Pythagoras Theorem,

The length of the other leg

$= \sqrt{ {19}^{2} - {12}^{2} }$

$= \sqrt{217}$

$= 14.730919...$

= 14.7 cm (rounded to the nearest tenth)

You might be interested in

The table shows the average weight of animals. How many more tons does a blue whale weigh than an African elephant? Explain how

AVprozaik [17]

Answer:

The African elephant weighs <u>111.5 tons</u> less than a blue whale.

Step-by-step explanation:

Given:

Animal Weight(pounds)

African Elephant 15,000

Blue Whale 238,000

Now, to find the weight of how more tons does a blue whale weigh than an African elephant.

As given, 1 ton = 2,000 pounds.

So, to convert the weight from pound to tons by dividing:

African elephant $=15000\div 2000=7.5\ tons.$

Blue whale $=238000\div 2000=119\ tons.$

Now, to get the weight of how more tons is blue whale weigh than an African elephant we subtract:

$Blue\ whale - African\ elephant$

$=119 tons-7.5tons$

$=111.5\ tons$

Therefore, the African elephant weighs 111.5 tons less than a blue whale.

8 0

3 years ago

According to the National Bridge Inspection Standard (NBIS), public bridges over 20 feet in length must be inspected and rated e

slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that $p = 0.09$

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

$P(X < 4) + P(X \geq 4) = 1$