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Ainat [17]
3 years ago
6

The equation sin(40o) = can be used to determine the length of line segment AC. What is the length of ? Round to the nearest ten

th.

Mathematics
2 answers:
I am Lyosha [343]3 years ago
8 0
The answer:
For more explanation please look at the image.
according to the image, the length of line segment AC can be found as
the following method shows:

<span>sin(40°)= opposite side  / hypotenuse,  opposite side = b, hypotenuse = AB= 20cm
</span>sin(40°)= b / 20 and this applies, b = 20 x sin(40°) = 0.64*20 = 12.85 cm
AC= 12.85 cm

 

nata0808 [166]3 years ago
3 0
The answer will be 12.9
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Answer:

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3x-5y=-3 -----> equation B

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5y=3x-1

y=(3/5)x-1/5

The slope is m=(3/5)

Step 2

Find the slope of the perpendicular line to the given lines

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

m1*m2=-1

we have

m1=3/5 -----> given lines

substitute

(3/5)*m2=-1

m2=-5/3

Step 3

Find the equation of the perpendicular line that pass though the origin

 with the slope  m2=-5/3 and the point (0,0) Find the equation of the line

y-y1=m(x-x1)

y-0=(-5/3)(x-0)

y=-(5/3)x

Step 4

Using a graphing tool

Graph the two parallel lines and the perpendicular line

The intersection points are

A(-0.2647,0.4412) and B(0.0882,-0.1471)  

see the attached figure

we know that

the distance between the points A and B is the distance between parallel lines

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

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d=\sqrt{(-0.1471-0.4412)^{2}+(0.0882+0.2647)^{2}}

d=\sqrt{(-0.5883)^{2}+(0.3529)^{2}}

d=0.6860\ units

8 0
3 years ago
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