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3 years ago

For the right triangles below, find the exact values of the side lengths b and d.

Mathematics

1 answer:

Ivanshal [37]3 years ago

7 0

Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below;

According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"

According to SOH, CAH, TOA;

tanθ = opposite/adjacent (using TOA)

Given;

θ = 30°, opposite = 5 and adjacent = b

tan30° = 5/b

b = 5/tan30°

b = 5/(1/√3)

b = 5*√3/1

b = 5√3

According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7

Using SOH;

sinθ = opposite/hypotenuse

Given;

θ = 45°, opposite = d and adjacent = 7

sin45° = d/7

d = 7sin45°

d = 7(1/√2)

d = 7/√2

Rationalize 7/√2

= 7/√2*√2/√2

=7√2/2

Hence the value of d is 7√2/2

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Answer:

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Step-by-step explanation:

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3 years ago

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Alenkasestr [34]

Answer:

Step-by-step explanation:

Solving without L'Hopital's rule:

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Use Pythagorean identity:

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lim(x→0) [ sin(π sin²x) / x² ] (π sin²x / π sin²x)

lim(x→0) [ sin(π sin²x) / π sin²x] (π sin²x / x²)

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π lim(x→0) [ sin(π sin²x) / π sin²x] [lim(x→0) (sin x / x)]²

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Answer:

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What is the answer to this?

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Question 7 of 18

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The more appropriate measures of center and spread are:

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<h3>Which measures are best for the given data?</h3>

The better measure of the middle would be the median because mean is affected by low and high values which are present in the given data set.

As mean is not being used, standard deviation should not be used for the same reason. This leaves us with the interquartile range which is best because it does not take outliers into account.

Find out more on the Interquartile Range at brainly.com/question/12568713.

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