Answer all of the questions please

Mathematics

1 answer:

kakasveta [241]2 years ago

4 0

Answer:

Domain (-2,3)

Range (-10, 20)

Function: Definitely

Step-by-step explanation: So check it right. Starting with Domain how far do our values go in the x direction positive and negative in this case the farthest to the left is -2 and to the right is 3. For range same thing but now we look at the y axis -10 is lowest and 20 is the highest. Open circles don't affect our domains or range but they are important for determining functions. This is a function because going up and down the graph vertically at any points doesn't collide with any point more than once. If the open circle were closed then this would not be a function but in this case it is a function.

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Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.

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In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

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