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3 years ago

Using a trigonometric ratio to find the angle measure in a right triangle ‼️ round to the nearest tenths‼️

Mathematics

2 answers:

Sonbull [250]3 years ago

7 0

Answer:

x ≈ 43.3°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = $\frac{adjacent}{hypotenuse}$ = $\frac{16}{22}$ , thus

x = $cos^{-1}$ ( $\frac{16}{22}$ ) ≈ 43.3° ( to the nearest tenth )

g100num [7]3 years ago

6 0

Answer: 43.3°

Step-by-step explanation:

From the trigonometric ratio, there are three basic identities

(1) SOH, meaning

Sine = Opposite all over the hypothenus, opposite side is always the side that faces the define or the indicated angle in the right angled triangle.

Sine = opp/hyp.

(2) CAH meaning

Cosine = Adjacent side all over the hypothenus, adjacent side is the sisde that is opposite the undefined or unindicated side of the right angled triangle.

(3) TOA meaning

Tangent = Opposite side all over the adjacent, note that the hypothenus side is the longest side which connects both the opposite and the adjacent sides of the right angled triangle.

Note that trigonometric ratio is only applicable in solving angles taht are right angles.

Now , back to the question, from the diagram,the side that is facing the indicated angle ( X° ) is the opposite side while the one facing the un-indicated angle is the adjacent which is ( 16 ) while the hypothenus is (22)

To consider which of the ratio above is applicable, we consider the relationship between the 3

Here now, we were given the adjacent and the hypothenus, therefore number two will be appropriate because it is only cosine that connect the two sides together.

Now,

Cosx° = 16/22

= 0.7272727272

Now approximate to four figures

0.7273

Since we are looking for x°

x° = 1/cos0.7273

= but it is a mathematical blunder to divide anything by the functions, cos, sine, tan, we now recall the laws' of indicies

1/a = a^-1 , therefore

1/cos0.7273 = cos^-1 0.7273 which is also known as the inverse of cos

checking this in your log tables or calculator by pressing the shift and inverse function of cos0,7273 gives you

cos^-1 0,7273 = 43.3

= 43.3°

x = 43.3°

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If a polynomial is divided by x minus 5, the quotient is 2 x squared plus 7 x minus 7 and the remainder is 7. Find the original

OlgaM077 [116]

Answer:

The original polynomial is $2x^3-3x^2-42x+42$ .

Step-by-step explanation:

The division of polynomial is analogue to the division of integers or natural numbers. For example, if we divide 25 by 6, we obtain that 4 is the quotient and the remainder is 1. We can recover 25 as 25 = 6*4+1.

Then, with this particular case, if we denote by P(x) the original polynomial, we have:

$P(x) = (x-5)(2x^2+7x-7)+7.$

Expanding the above multiplication:

$P(x) = = 2x^3-3x^2-42x+42.$

In general, given a polynomial P(x), if we divide it by another polynomial Q(x) (the divisor), there exist polynomials S(x) (the quotient) and R(x) (the remainder) such that

P(x) = Q(x)S(x) + R(x).

4 0

4 years ago

877 to binary, octal, and hexadecimal

statuscvo [17]

Our number system is in base 10, which means that each digit has a value that is a multiple of 10.

For ex:
877 literally means
8 7 7 where each digit is multiplied by
10^ 2 10 ^1 10^0 respectively
which is 8 * 10^ 2 + 7 * 10^1 + 7 * 10^0 = 8 * 100 + 7 * 10 + 7 * 1 = 800 + 70 + 7 = 877

Binary is in base 2, so each of its digits (which can only be 0 or 1) are multiplied by multiples of 2 (2^0, 2^1, 2^2 ect.)

To find what 877 is in binary you can do the following:
the symbol : means divide and i'll write the quotient + the remainder

877 : 2 = 438 + 1 (438 is the quotient, 1 is the remainder)
438 : 2 = 219 + 0
219 : 2 = 109 + 1
109 : 2 = 54 + 1
54 : 2 = 27 + 0
27 : 2 = 13 + 1
13 : 2 = 6 + 1
6 : 2 = 3 + 0
3 : 2 = 1 + 1
1: 2 = 0 + 1

now write ALL off the remainders from BOTTOM to TOP:
1101101101

use a similar step for octal (use 8 instead of 2 as the divisor) and hexidecimal (use 16 instead of 2 as the divisor)

6 0

3 years ago

Why do we use inference in reading to better understand.

spin [16.1K]

Answer:

Here

Step-by-step explanation:

You use context clues to get an understanding of unfamiliar words and phrases.

6 0

2 years ago

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