The statement that best describes a tangent of a circle is that
B. it is a segment that touches the circle in exactly one point and makes a right angle with the radius.
Here's a picture of what a tangent looks like:
Answer:
-7 > x
Step-by-step explanation:
first we expand the brackets so it will be -3x -6>-69-12x
then we can convert the > to = so it will be :
-3x -6=-69-12x
we can now try to solve the equation for x so :
-3x -6= -69-12x
-6 = -69-9x
63 =-9x
7 = -x
-7 = x
we can then change the symbols back so it will be:
-7 > x
Answer:
311.41 degrees
Step-by-step explanation:
If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).
Let's assume we're in Quadrant IV. Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.
According to the Pythagorean Theorem, (-3)^2 + x^2 = 4^2, or,
x^2 = 16 - 9 = 7.
Then x is either √7 or -√7.
To find the angle Ф, use the inverse sine function:
Ф = arcsin (-3/4). Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees. We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."
Answer:
Step-by-step explanation:
As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.
Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; (
), where (
) and (
) are the legs of the right triangle, or the sides adjacent to the right angle. (
) is the hypotenuse or the side opposite the right angle.
Substitute in the given values and solve, note that () represents the unknown leg (side).
Inverse operations,
14/23=0.61
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