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soldier1979 [14.2K]
4 years ago
8

Complete the following.

Mathematics
1 answer:
Otrada [13]4 years ago
4 0

Answer:

Step-by-step explanation:

1) the triangle is a right angle triangle.

From the given right angle triangle,

With 67° as the reference angle,

x represents the adjacent side of the right angle triangle.

17 represents the opposite side of the right angle triangle.

To determine x, we would apply

the Tangent trigonometric ratio.

Tan θ = opposite side/adjacent side.

Therefore,

Tan 67 = 17/x

xTan 67 = 17

x = 17/Tan 67

x = 17/2.3559

x = 7.22

2) From the given right angle triangle, with 24° as the reference angle,

x represents the opposite side of the right angle triangle.

12 represents the adjacent side of the right angle triangle.

To determine x, we would apply

the Tangent trigonometric ratio.

Tan θ = opposite side/adjacent side.

Therefore,

Tan 24 = x/12

x = 12Tan 24

x = 12 × 0.4452

x = 5.34

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Country A has an exponential growth rate of 3.8​% per year. The population is currently ​,000, and the land area of Country A is
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The number of years it would it take for there to be one person for every square yard is 93.6 years.

<h3>How many years would it take for there to be one person for every square yard?
</h3>

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

  • FV = future population
  • PV = present population
  • r = rate of growth

(In 35 billion / 1 billion) / 0.038 = 93.6 years

Here is the complete question:
Country A has an exponential growth rate of 3.8​% per year. The population is currently 1,000,000 ,000 and the land area of Country A is ​35,000,000,000 square yards. Assuming this growth rate continues and is​ exponential, after how long will there be one person for every square yard of​ land?

To learn more about exponential functions, please check: brainly.com/question/26331578

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7 0
2 years ago
What is the number in tío other forma 15,409
swat32
that doesn't make sense I'm sorry
6 0
4 years ago
Listed below are the measured radiation emissions​ (in W/kg) corresponding to cell​ phones: A,​ B, C,​ D, E,​ F, G,​ H, I,​ J, a
Sophie [7]

Answer: a. Mean = 0.696364

b. Median = 0.64

c. Midrange = 0.895

d. There is no Mode

e. 2. The maximun data value is the most relevant statistic, because it is closest to the limit of 1.6W/kg and that cell should be avoided.

Step-by-step explanation:

a) Mean is an average number of the data set, calculated by the sum of all the value divided by the quantity of the set:

mean = \frac{0.75+0.22+1.23+0.64+0.54+0.24+0.81+1.57+0.29+1.02+0.35}{11}

mean = 0.696364

b) Median is the middle number in the list of numbers. In this case, since there are 11 elements in the set, the middle number is:

sorted numbers of the data set:

0.22 0.24 0.29 0.35 0.54 0.64 0.75 0.81 1.02 1.23 1.57

median = 0.64

c) Midrange is another type of average number. It is calculated as:

midrange = \frac{high+low}{2}

midrange = \frac{1.57+0.22}{2}

midrange = 0.895

d) Mode is the number that appears most often in the list of numbers. For this data set, each number appears only one time, so there is no mode.

Mode = 0

e) According to the question, cell phone radiation is dangerous when it is higher than 1.6W/kg. The cell phone with the maximum data value (1.57 W/kg) should be avoided, since it is too close to the limit described.

So, the measures of center are not the most important statistic to be observed but the maximum data value.

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3 years ago
Choose the appropriate transformation for the figure<br> Picture above ***
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Answer :

Rotation :)
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Look at the sample space below. {1, 2, 3, 7, 9, 10, 15, 19, 20, 21} When chosen randomly, what is the probability of picking an
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Answer:

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3 years ago
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