Which arc is a minor arc?
2 answers:
Answer:
Step-by-step explanation:
- When an arc is smaller than a semicircle, then it is known as minor arc. A central angle subtended by a minor arc always less than 180°.
Let's compare the given options :
From the given picture, it can be seen that SO is radius (line) so its not an arc.
is a minor arc since the central angle subtended by it is less that 180°.
is not an minor arc since the central angle subtended by it is exactly 180°. [straight angle]
is not an minor arc since the central angle subtended by it is exactly 180°. [straight angle]
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The equation of the line can be shown using the slope intercept form that is
y= mx+b
where m is the slope and b is the y intercept
So firstly we have to find the value of slope m
To find the value of slope m we apply the formula
So we can plug the values using the two given points
(-0.5,0.75) and (0.75,-0.5)
So m = -1
Plug m=-1 in the equation we get
y= -1x +b
Now we have to find the value of b
to find the value of b , we plug any one pint in the equation
0.75 = -1(-0.5) +b
0.75 = 0.5 +b
Subtract 0.5 from both sides
0.25 = b
or
b= 0.25
Now plug the value of b , in the equation
we get
y = -1x +0.25
hence the equation of the line is y = -1x +0.25
Answer: Choice A. sin(A) = cos(B)
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Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
- sin(A) = opposite/hypotenuse = BC/AB
- cos(B) = adjacent/hypotenuse = BC/AB
Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
