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3 years ago

When i am solving for the sides of a right triangle, when will i use pythagorean theorem

Mathematics

2 answers:

Scilla [17]3 years ago

8 0

Answer:

If we know the lengths of two sides of a right angled triangle, we can find the length of the third side. ... Then we use algebra to find any missing value

Step-by-step explanation:

(Hypotenuse)2 = (Shortest side)2 + (Other side)2

so

(Longest side)2 = (Shortest side)2 + (Other side) 2

To find the length of the hypotenuse

1. Sketch triangle and mark hypotenuse

2. Write out Pythagoras' theorem for the triangle

(Hypotenuse)2 = (Shortest side) 2 + (Other side) 2

3. Solve

4. Write out solution

1a. Reverse this for a or b through subtraction;

So that b ² = c ² - a² or a² = c² - b²

Example attached for you.

OleMash [197]3 years ago

3 0

Answer:

When you are given 2 sides to find the other side or given 3 sides to say if it is a triplet

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Rzqust [24]

Answer:

572.3

Step-by-step explanation:

Diameter = 27m

Radius = d / 2 = 27 / 2 = 13.5m

Area = pi x r²

= 3.14 x (13.5)²

= 3.14 × 182.25

= 572.3

5 0

3 years ago

¿Qué interés produce s/ 72,000 al 5% anual en 1 año, 1 mes, 10 días?

PtichkaEL [24]

Answer: 3,988.8

Usaremos la fómula: I = C * i * n

I = 72 000 * 0.05 * (1 año + 1 mes + 10 día)

I = 72 000 * 0.05 * (1 + 0.08 + 0.0028)

I = 72 000 * 0.05 * 1.108

3,988.8

Step-by-step explanation:

Podemos obtener el interés que produce un capital con la siguiente fórmula:

I = C * i * n

Ejemplo: Si queremos calcular el interés simple que produce un capital de 1.000.000 pesos invertido durante 5 años a una tasa del 8% anual. El interés simple se calculará de la siguiente forma:

I = 1.000.000 * 0,08 * 5 = 400.000

Si queremos calcular el mismo interés durante un periodo menor a un año (60 días), se calculará de la siguiente forma:

Periodo: 60 días = 60/360 = 0,16

I = 1.000.000 * 0,08 * 60/360 = 13.333

Espero te ayude :3

3 0

3 years ago

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,564 miles, with a standard

DerKrebs [107]

Answer:

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$