Mathematics, 28.10.2019 03:31 slowik9467

((image included))
if x = 27 inches, what is the perimeter of the figure above?
a. (108 + 54 + 54) inches
b. (54 + 108) inches
c. (364.5 + 729) inches
d. (27 + 54 + 81) inches

((image included)) if x = 27 inches, what is the perimeter of the figure above? a. (108

Answers: 2

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Answer from: robert7248

=204.13 inches.

Step-by-step explanation:

Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.

Sin 30 =x/hypotenuse.

sin 30 = 27/hyp

hyp= 27/sin 30

=54 inches

We can also find the adjacent as follows.

Cos 30 = adjacent/ 54

Adjacent= 54 cos 30

=46.77 inches

Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.

sin 45= x/hypotenuse

sin 45 =27/hypotenuse

hypotenuse = 27/sin 45

=38.18 inches

The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.

Perimeter = 54+ 46.77+27+ 38.18+38.18

=204.13 inches.

Answer from: GiuliAzevedo

204.12 inches

Step-by-step explanation:

We can find the lengths of the unknown sides by applying these identities:

$tan\alpha=\frac{opposite}{adjacent}\\\\sin\alpha=\frac{opposite}{hypotenuse}$

Observe the image attached. To find "a" we need to substitute the following values into $tan\alpha=\frac{opposite}{adjacent}$ :

$\alpha=30\°\\opposite=x=27\\adjacent=a$

And solve for "a":

$tan(30\°)=\frac{27}{a}\\\\a=\frac{27}{tan(30\°)}\\\\a=46.76\ inches$

To find "b" we need to substitute the following values into $sin\alpha=\frac{opposite}{hypotenuse}$ :

$\alpha=30\°\\opposite=x=27\\hypotenuse=b$

And solve for "b":

$sin(30\°)=\frac{27}{b}\\\\b=\frac{27}{sin(30\°)}\\\\b=54 inches$

To find "c" we need to substitute the following values into $sin\theta=\frac{opposite}{hypotenuse}$ :

$\theta=45\°\\opposite=x=27\\hypotenuse=c$

And solve for "c":

$sin(45\°)=\frac{27}{c}\\\\c=\frac{27}{sin(45\°)}\\\\c=38.18 inches$

Since the triangle on the left is Isosceles, then:

$d=c= 38.18\ inches\\\\$

Therefore, the perimeter is:

$P=(46.76+54+2(38.18)+27)\ inches=204.12\ inches$

((image included)) if x = 27 inches, what is the perimeter of the figure above? a. (108 + 54 + 54)

Answer from: Quest

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction: this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology: the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion: the last is the discussion, this can be either by management people or persons who are all interested , etc.

Answer from: Quest

Answerthe simplified expression is $2x + 28$ explanationthe given expression is, $2(10) + 2(x - - 4)$ let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes, $2(10) + 2(x + 4)$ we now expand the parenthesis to get, $20 + 2x + 8$ we group like terms to obtain, $2x + 8 + 20$ this simplifies to, $2x + 28$

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((image included))
if x = 27 inches, what is the perimeter of the figure above?
a. (108...

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