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Inga [223]
3 years ago
9

Parallel lines always,sometimes,or never intersect?

Mathematics
2 answers:
STatiana [176]3 years ago
8 0
They never intersect
yan [13]3 years ago
4 0
They will never intersect.
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Given that tan θ ≈ 1.072, where 0 < θ < , 2 π find the values of sin θ and cos θ.
anygoal [31]

Answer:

The answer to your question is

sin Ф = 0.731 and sinФ = -0.731; cos Ф 0.682 and cos Ф = -0.682

Step-by-step explanation:

tan Ф = 1.072,  0 < Ф < 2 π,   tan Ф is positive, find the solution in the first and third quadrangle.

- tan Ф = opposite side / adjacent side

- 1.072 / 1 = opposite side / adjacent side

- opposite side = 1.072 and adjacent side = 1

  Calculate hypotenuse

  c² = a² + b²

  c² = 1.072² + 1²

  c² = 2.149

  hypotenuse = c = 1.466

First quadrangle

  sin Ф = 1.072 / 1.466 = 0.731

  cos Ф = 1 / 1.466 = 0.682

Third quadrangle

  sin Ф = -1.072 / 1.466 = -0.731

  cos Ф = -1 / 1.466 = -0.682

5 0
3 years ago
Type the correct answer in each box. use numerals instead of words. in a survey conducted by a retail store, 58% of the sample r
solmaris [256]

The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.

Given That,
In a survey conducted by a retail store, 58% of the sample respondents said they prefer to shop at places with loyalty cards. if the margin of error is 3.4%.

<h3>What is population proportion?</h3>

A population proportion is defined as the percentage of a population that belongs to a individual category. Certainty gaps are used to evaluate population proportions.

Here, the margin of error is 3.4%.
expected population proportion = 58% ± 3.4%
expected population proportion interval = (58% - 3.4%, 58% + 3.4%)
expected population proportion interval = (54.6%, 61.4%).


Thus, The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.

Learn more about population proportion here.
brainly.com/question/15087042
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3 0
1 year ago
An advertisement states that a can of paint will cover 480 square feet. How many gallons of paint are needed to cover 1,680 squa
zaharov [31]
480 goes into 1680 3 times 144 left bring down your 0. 480 goes into 2400 5 times. your answer is 35 cans of paint
3 0
3 years ago
What is the quotient of −1 and y
Tom [10]

Answer:

-1/y

Step-by-step explanation:

This quotient is the result when you divide y into -1:  -1/y

3 0
3 years ago
A mechanic sells a brand of automobile tire that has a life expectancy that is normally​ distributed, with a mean life of 34 , 0
Leya [2.2K]

Answer:

He should word his statement as "Free replacement for tires that wear before 30875 miles."

Step-by-step explanation:

If he is willing to replace 10% of tires he should find the life of tires that gives an area of 10% in the normal distribution graph.

Now for 10% of area standard normal deviate Z can be obtained from normal distribution table

Using normal distribution table for 10% area we have Z = -1.28

Thus we have Z=\frac{X-\overline{X}}{\sigma }\\\\\therefore X=\sigma Z+\overline{X}

Applying given values we get

X=-1.28\times 2500+34000\\\\X=30875miles

5 0
3 years ago
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