A right triangle has a 30o angle. The leg adjacent to the 30o angle measures 25 inches.

Mathematics

2 answers:

Nesterboy [21]4 years ago

6 0

14.4.............................

klasskru [66]4 years ago

4 0

If the right triangle has an angle of 30, then the three angles in the triangle must be 30, 60, and 90 degrees. The sides of a 30-60-90 triangle have the ratio 1 : 2 : sqrt(3). The side adjacent to the 30-degree angle is opposite the 60-degree angle, so it has the ratio of sqrt(3). The other leg is opposite the 30-degree angle so it has the ratio 1. The length of the leg we want to find is then (1/sqrt(3)) * 25 inches and 25 / sqrt(3) = 14.4 inches, which is the answer.

You might be interested in

Question 5 Buying a year's worth of textbooks for college can be expensive! Consider a large population of college students for

Furkat [3]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Minimum 80

Quartile 1 (Q) 215

Median 335

Quartile 3 (Q3) 380

Maximum 440

Population IQR

IQR = Q3 - Q1 = 380 - 215 = 165

A.)

Dot at 240

The dot plot shows the sample distribution of interquartile range, hence, all the points on the plot represents the interquartile range for 50 different samples.

Hence, the dot at 240 represent the interquartile range value of one of the 50 sample distributions.

B.)

According to the sampling distribution chart, the graph form a bell shaped curve and loos fairly symmetric, hence we could conclude thatvthe mean IQR of the sampling distribution is about 165.

Since population IQR is also 165 ; we can conclude that sampling distribution OF IQR is an unbiased estimator of population IQR.