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HELP ME OUT PLEASE!!! In triangle ABC, the length of side AB is 15 inches and the length of side BC is 21 inches. Which of the following could be the length of side AC?A.
41 inches
B.
4 inches
C.
38 inches
D.
30 inches

Answers

Answer 1
Answer:

Answer:

30

Step-by-step explanation:

the answer has to be greater than 6 and less than 36

15+21=36, 21-15=6
Answer 2
Answer:

Final answer:

In triangle ABC, where AB = 15 inches, BC = 21 inches, the possible length of AC is 30 inches based on the triangle inequality theorem that states the sum of two sides of a triangle must be greater than the length of the remaining side. The length of AC should be between the sum and the difference of AB and BC. Only option D (30 inches) falls in this range.

Explanation:

To find out the possible lengths of side AC in triangle ABC, we can apply the triangle inequality theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. Here, AB = 15 inches and BC = 21 inches. Therefore, AC must be less than the sum of AB and BC(15 + 21 = 36 inches) and more than the difference of AB and BC(21 - 15 = 6 inches).

So, the length of AC must be between 6 inches and 36 inches. Looking at the options, only D. 30 inches falls within this range. As a result, 30 inches could be the length of side AC in triangle ABC.

Learn more about Triangle Inequality Theorem:

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The population of a city (in millions) at time t (in years) is P(t)=2.6 e 0.005t , where t=0 is the year 2000. When will the population double from its size at t=0 ?

Answers

Answer:

  year 2139

Step-by-step explanation:

The population will double when the factor e^(.005t) is 2.

  e^(.005t) = 2

  .005t = ln(2)

  t = ln(2)/0.005 = 138.6

The population will be double its size at t=0 when t=138.6. That is the population will be about 5.2 million in the year 2139.

The population will double by the year 2139 from its value of 2.6 million in year 2000.

Population function :

P(t) = 2.6 {e}^(0.005t)

Population size at t = 0

P(0) = 2.6 {e}^(0.005(0)) = 2.6(1) = 2.6

Population at t = 2.6 million.

For the population to double ;

2.6 × 2 = 5.2 million :

5.2 = 2.6 {e}^(0.005t)

We solve for t

(5.2)/(2.6) = {e}^(0.005t)

2 = {e}^(0.005t)

Take the In of both sides

ln(2) = 0.005t

t \: = ln(2) / 0.005 = 138.629

The population will double after 139 years

Therefore, the population will double by the 2139 (Year 2000 + 139 years) = year 2139.

Learn more : brainly.com/question/11672641?referrer=searchResults

A ladder leans against a building that angle of elevation of the latter is 70° the top of the ladder is 25 feet from the ground. to the nearest 10th of a foot how far from the building is the base of the ladder a. 20.5 feet b. 30.5 feet C.32.3’ or D.39.5 feet

Answers

Answer:

a. 20.5

Step-by-step explanation:

because this will form a right triangle we can use tan (opposite over adjacent) so an equation we could set up would be tan(70)=25/x

therefore we can just solve the equation which would give us 20.45. so if we round it the answer would be a

Answer:

The correct answer option is a. 20.5 feet.

Step-by-step explanation:

We are given that the angle of elevation of the ladder is 70° and the height of the ladder is 25 feet from the ground.

We are to find the distance of the building from the base of the ladder.

For this, we will use tan:

tan 70 = \frac { 2 5 } { x }

x = \frac { 2 5 } { tan 7 0 }

x = 20.5 feet

A restaurant has a capacity of 120 patrons. If the restaurant is full, how many patrons are at the restaurant?

Answers

Answer:120?

Step-by-step explanation:

Given a mean of 21 and a standard deviation of 1.2, what is the z-score of 21?

Answers

zero the z score of the mean is always zero

Answer: 0

Step-by-step explanation:

A town interested in installing wind turbines to generate electricity measures the speed of the wind in the town over the course of a year. They find that most of the​ time, the wind speed is pretty​ slow, while only rarely does the wind blow very fast during a storm. What would be the best measure of the central wind speed they should report to the​ mayor? The mean​, because the distribution of wind speeds is skewed. The median​, because the distribution of wind speeds is symmetric. The mean​, because the distribution of wind speeds is symmetric. The median​, because the distribution of wind speeds is skewed. The proportion​, because the distribution of wind speeds is skewed. The proportion​, because the distribution of wind speeds is symmetric.

Answers

9514 1404 393

Answer:

  The median​, because the distribution of wind speeds is skewed.

Step-by-step explanation:

A few higher speeds will raise the mean. For a skewed distribution, the median may be a more appropriate measure of center.

__

Additional comment

From an engineering point of view, one might have to consider speeds only within some range, as the wind turbines may be shut down for speeds too low or too high. Likely the power generated is not proportional to speed, so a weighted average (of the square of speed) would probably be more useful. Unfortunately, this question does not get into such subtleties.

35 points plz helpEvaluate −4(14)6x for x=13.

Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

-15228

Step-by-step explanation:

Given the expression :

-4(14)6x for X = 13

To evaluate ; simply substitute 13 for X in the equation :

-14(14)6(13)

-14 * 14 * 6 * 13 = - 15228
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