Mathematics, 30.11.2019 01:31 alisonlebron15

1. find the missing side length. round your answer to the nearest tenth.

6.7 21.3 5.5 43.2

2. find the length of side a. round to the nearest tenth.

12 378.4 18.3 19.5

3. find the length of side ba. round to the nearest hundredth.

0.42 0.65 0.83 1.25

1. find the missing side length. round your answer to the nearest tenth.6.7 21.3 5.5 43.

Answers: 1

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Answer from: myahlit84

QUESTION 1

We can use the cosine rule to find the missing side length.

Recall that the cosine rule for a triangle with sides a,b,c and an included angle A is

$a^2=b^2+c^2-2bc\cos A$

Let the missing side length in the triangle with sides 6, 9 and the included angle of $37\degree$ be units.

We then substitute the values into the cosine rule to obtain;

$a^2=6^2+9^2-2(6)(9)\cos 37\degree$

$a^2=36+81-108\cos 37\degree$

a^2=30.747

$\Rightarrow a=\sqrt{30.747}$

$\Rightarrow a=5.5$ units to the nearest tenth.

QUESTION 2

We again use the cosine rule: $a^2=b^2+c^2-2bc\cos A$

We substitute the given values to obtain;

$a^2=11^2+13^2-2(11)(13)\cos 108\degree$

$a^2=121+169-286\cos 108\degree$

a^2=378.379

$\Rightarrow a=\sqrt{378.379}$

$\Rightarrow a=19.5$ to the nearest tenth

QUESTION 3

We again use the cosine rule :

$|BA|^2=(\frac{1}{2})^2+(\frac{1}{3})^2-2(\frac{1}{2})(\frac{1}{3})\cos 100\degree$

|BA|^2=0.418899

$|BA|=\sqrt{0.418899}$

|BA|=0.65 to the nearest hundredth

Answer from: Quest

Ithink ghe answer to this question is b just trying to others
Find the perimeter of the shape below a- 7.4 units b- 8.9 units c- 11.2 units d- 13.6 units

Answer from: Quest

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

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1. find the missing side length. round your answer to the nearest tenth.

6.7 21.3 5.5 43....

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