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raketka [301]
3 years ago
12

Which relation is a function?

Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0
B is a relation function
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Consider the given right triangle. If angle B = 43 degrees and c = 26.7 meters, find a.
Nady [450]

Answer: Side a equals 19.5 metres

Step-by-step explanation: Consider the right angled triangle as shown in the picture attached. The triangle has been drawn with angle measuring 43 degrees, side c (line AB) measuring 26.7 m and side a (line CB) is yet unknown.

A right angled triangle can be solved if at least one side and an angle are available. In this question we shall apply the trigonometric ratios since we have one angle which shall be the reference angle (43°). Also we have an hypotenuse (the side facing the right angle) and an unknown side which is the adjacent (which lies between the right angle and the reference angle).

Cos B = Adjacent/Hypotenuse

Cos 43 = a/26.7

Cos 43 x 26.7 = a

0.7314 x 26.7 = a

19.52714 = a

a ≈ 19.5  (rounded to the nearest tenth)

Therefore the length of side a equals 19.5 metres.

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Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

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Write the equation in standard<br> form of the line that has<br> x-intercept 6 and y-intercept -2.
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Answer:

<em>x - 3y = 6</em>

Step-by-step explanation:

<u>Equation of the line in intercept form</u>

The intercept form of the equation of a line is:

\displaystyle \frac{x}{a}+\frac{y}{b}=1

Where:

a = x-intercept

b = y-intercept

The standard form of a line is:

Ax + By = C

The given line has a=6 and b=-2, thus:

\displaystyle \frac{x}{6}+\frac{y}{-2}=1

Multiplying by 6:

x - 3y = 6

This is the required standard form of the line.

Thus, the standard form of the line is:

x - 3y = 6

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