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2 years ago

In ΔLMN, n = 92 inches, ∠N=46° and ∠L=11°. Find the length of l, to the nearest inch.

Mathematics

1 answer:

Vilka [71]2 years ago

5 0

Answer:

24 inches

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}$

In triangle LMN:

We can find the length of l using sine rule:

$\frac{l}{sinL}=\frac{n}{sinN} \\\\substituting:\\\\\frac{l}{sin(11)}=\frac{92}{sin(46)} \\\\l=\frac{92}{sin(46)}*sin(11)\\\\k=24\ inches \\$

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ziro4ka [17]

Answer:

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C1(X) = $25 + $10*X

While in the local nursery there is no initial cost, and each rosebush costs $15, so if he buys X rosebushes, the total cost will be:

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Now, let's find the value of X where C1 and C2 are equal, this is:

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$25 = $15*X - $10*X = $5*X

X = 25/5 = 5

This means that if he buys 5 rosebushes, he will pay the same amount in both places.

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3 years ago

8. A company makes electronic components for TV's. 95% pass final inspection (and 5% fail and need to be fixed). 120 components

Taya2010 [7]

Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.

For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of <u>exactly x successes on n repeated trials, with p probability</u>, and has variance given by:

$V(X) = np(1 - p)$

In this problem:

95% pass final inspection, hence $p = 0.95$

120 components are inspected in one day, hence $n = 120$ .

The variance is given by:

$V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7$

The variance of the number that pass inspection in one day is 5.7.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

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2 years ago

At a local department store, skirts typically cost $15. However, due to a special, the

Strike441 [17]

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3 years ago

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mixer [17]

Answer:

$1,281.00

Step-by-step explanation:

We start by calculating the value $50 added each month after the first month

= $50 × 11

= $550

Calculation:

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3 years ago

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