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AlekseyPX
3 years ago
15

In the right ABC with C=90,A=75 and AB=12cm. Find the area of ABC

Mathematics
1 answer:
Ganezh [65]3 years ago
6 0

Answer:

18 cm^2

Step-by-step explanation:

The legs of a right triangle are the base and height of the triangle.

Since C is a right angle, AB is the hypotenuse.

AC and BC are the legs and the base and height.

sin 75 = BC/12

BC = 12 sin 75

cos 75 = AC/12

AC = 12 cos 75

area = bh/2 = (12 sin 75)(12 cos 75)/2

area = 18 cm^2

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Agata [3.3K]

Answer:

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given that the profit y (in dollars) for a business from selling x coats is represented by the equation

y=56x

comparing with the slope-intercept form of the line equation

m = 56

<u>Determining the y-intercept</u>

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

substitute x = 0 in the equation

y = 56(0)

y = 0

Thus, the y-intercept b = 1

Thus,

The equation y = 5x has:

  • The slope m = 56
  • The y-intercept b = 1

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

4 0
3 years ago
HELP ASAP
Natalija [7]

Answer:

The equation of the function: y = mx + b

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Therefore, the equation is <u>f(x) = 2x - 3</u>

When x = 0, f(x) = 2(0) - 3 = <u>-3</u>

When x increases by 1, f(x) increases by <u>2</u> (slope = the rate of change)

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Step-by-step explanation:

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Step-by-step explanation:

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