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Marina86 [1]
10 months ago
11

Answer these two questions

Mathematics
1 answer:
AVprozaik [17]10 months ago
5 0

For PART A: the height of the pole in the right angle triangle is 30 ft and the correct option is C

For PART B: the lenght of wire 1 in the right angle triangle is 45 ft and the right option is D

<h3 /><h3>What is a right angle triangle?</h3>

A right-angled triangle is a polygon of three sides having one angle as 90 degrees(right angle).

Part A

To calculate the height of the pole in the right angle triangle, we use the formula below.

Formula:

  • tan∅ = opposite/adjacent

From the diagram,

Given:

  • ∅ = 41°
  • Opposite = Height of the pole = P
  • Adjacent = 34 ft

Substitute these values into equation 1 and solve for P

  • tan41° = P/34
  • P = 34×tan41°
  • P = 29.55
  • P ≈ 30 ft

Part B

Similarly, fine the length of wire 1, we use the formula below.

Formula:

  • cos∅ = Adjacent/Hypotenus.......... Equation 2

From the diagram,

Given:

  • Hypotenus = Wire 1 = x
  • ∅  = 41°
  • Adjacent = 34 ft

Substitute these values into equation 2 and solve for x

  • cos41° = 34/x
  • x = 34/cos41°
  • x = 45.05
  • x ≈ 45 ft

Hence, the height of the pole is 30 ft and the lenght of wire 1 is 45 ft.

Learn more about right angle triangle here: brainly.com/question/64787

#SPJ1

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The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were:

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The correct option is (a)

The critical value is 5.29

Step-by-step explanation:

To obtain the critical value, we need to perform a satistical test on the given data.

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ANOVA:

The one-way analysis of variance (ANOVA) may be used to find out whether there is any significant difference between the means of two or more independent categories of data.

ANOVA in Excel:

Step 1:

In the data tab, select data analysis

Step 2:

Select "Anova single factor" from the analysis tools

Step 3:

Select the destination of input data in the "input range"

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Select "columns" for the option "Group By"

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Tick the option "labels in first row"

Step 6:

Set alpha = 0.01

Step 7:

Select the destination of output data in the "output options"

Output results:

Please refer to the attached results

As you can see in the output results, the critical value is 5.2922

Therefore, the correct option is (a)

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