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Genrish500 [490]
1 year ago
6

In this triangle, what is the value of x? Enter your answer, rounded to the nearest tenth, in the box. x = A right triangle with

one leg labeled 26 centimeters and the other leg labeled 53 centimeters. The angle that is opposite the leg labeled 26 centimeters is labeled x degrees.
Mathematics
1 answer:
algol [13]1 year ago
6 0

Answer:

The measure of angle x is 26.1\°

Step-by-step explanation:

In this problem we know that

The tangent of angle x is equal to divide the opposite side angle x to the adjacent side angle x

tan(x)=\frac{26}{53}

x=arctan(\frac{26}{53})=26.1\°

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Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), h
Vlad1618 [11]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.

(a) What are the individuals in this data set?

(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?

Solution:

(a)

The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.

In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.

So, the "individuals" in this data set are the monkeys.

(b)

Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.

Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.

In this case the variables are:

Number of bananas the monkeys ate - Quantitative variable

Gender - Categorical variable

Age (in years) -  Quantitative variable

Specific breed of monkey - Categorical variable

5 0
2 years ago
When a problem involves more than one unit for a characteristic ( such as length) how can you tell which unit use is more approp
Art [367]

In the absence of clues, it is a judgment call.

Often, the problem statement or answer choices will tell you the desired units.

In general, units are available so that you can express dimensions in 4 or fewer digits with appropriate units. There are a few gaps, but the reason units are what they are is to make expressing everyday values easy to do.

SI units are easy to work with on this score, as the various available prefixes ensure that you can always express a quantity using a number between 1 and 1000. This is generally what you want to do (in the absence of direction otherwise).

For some things, there are customary units that are expected. Vehicle speed is unusally miles (or kilometers) per hour, for example. Land area is usually square feet, acres, or square miles in US units, or square meters, hectares, or square kilometers in SI units.

Generally, too, it is appreciated by your reader if the units you choose are ones they are familiar with. In most applications, you'd choose feet or yards or miles instead of furlongs, for example (unless your audience is familiar with racetrack distances).

7 0
2 years ago
Read 2 more answers
A solar panel dealer acquires is used panel for $9,000, with terms FOB shipping point. Compute total inventory cost assigned to
malfutka [58]

Answer:

Total inventory cost is $9,965.

Step-by-step explanation:

The terms free on board FOB shipping point implies that the delivery of a good is taken by the buyer after it left the supplier's shipping dock. Therefore, any other relevant cost incurred afterwards will be paid by the buyer.

From the all the cost listed in the question, the $1,500 for sales staff salaries, $110 for online advertising, and $300 for lawn care are NOT related to the inventory cost because they are administrative and sales expenses.

Therefore, the total inventory cost can be calculated using the following relevant cost:

Acquisition cost = $9,000

Transportation-in by train = $280

Shipping insurance = $135

Used panel restoration = $550

Therefore, we have:

Total inventory cost = Acquisition cost + Transportation-in by train + Shipping insurance + Used panel restoration = $9,000 + $280 + $135 + $550 = $9,965.

3 0
2 years ago
James is four years younger than Austin. If three times James' age is increased by the square of Austin's age, the result is 28.
lara31 [8.8K]
Let's use J for James's age and A for Austin's age. The equations are:

J = A - 4
3J + A² = 28

Just plug (A - 4) in the place of J in the second equation. This gives you:

3(A - 4) + A² = 28
-->
A² + 3A - 12 = 28
--> 
A² + 3A - 40 = 0
--> 
(A - 5)(A + 8) = 0
-->
A = 5 or -8

-8 is nonsense, so Austin is 5 years old. Therefore, James is 1 year old.
7 0
1 year ago
The graph shows the location of Grant's, Hannah's, and Isobel's houses. Each unit on the graph represents 1 block. A coordinate
olasank [31]

Answer:

10.0 that one

4 0
2 years ago
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