Answer:
all options are correct.
Step-by-step explanation:
The correct options among all the options are:
- <em>Ancient mathematicians used trigonometry to find angles of triangles.</em>
Trigonometry is used to find the size of a missing side or angle in a right- angled triangle using the sine, cosine or tangent ratios.
- <em>Ancient mathematicians used trigonometry to track the position of the sun.</em>
It is also used in oceanography in calculating the height of tides in oceans.
- <em>Tangent was the first trigonometric relationship used by mathematicians.</em>
The three main functions in trigonometry are Sine, Cosine and Tangent.The functions sine, cosine and tangent of an angle are sometimes referred to as the primary or basic trigonometric functions.
- <em>Cosine was the first trigonometric relationship used by mathematicians.
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- <em>Sine was the first trigonometric relationship used by mathematicians.</em>
Answer:
(Choice A) A graph of an increasing linear function in quadrant 1 with a positive y-intercept.
Step-by-step explanation:
The weight of the sumo wrestler starts at a positive value of 79.5 kilograms, and we are given that the sumo wrestler gains a linear amount of weight per month at 5.5 kilograms per month.
If we were to graph this relationship, the sumo wrestler's weight would be represented on the y-axis, and the amount of time on the x-axis.
So the initial weight would occur at (0, 79.5) which is the positive y-intercept.
And since his weight is increasing at 5.5 kilograms per month, the slope of the linear function is positive.
Hence, the graph of the linear increasing function in quadrant 1 with a positive y-intercept.
Cheers.
Answer:
d. y = (x +2)(x -3)
Step-by-step explanation:
When p is a zero of the function (an x-intercept), the function has (x -p) as a factor.
Here, the x-intercepts are x = -2 and x = 3. This means the factors of the function are (x -(-2)) = (x +2) and (x -3).
y = (x +2)(x -3)
Answer:
B = (-11, -17)
C = (11, -17)
Step-by-step explanation:
Reflection over the x-axis is accomplished by changing the sign of the y-coordinate:
(x, y) ⇒ (x, -y) . . . . . reflection over x-axis
Reflection over the y-axis is accomplished by changing the sign of the x-coordinate:
(x, y) ⇒ (-x, y) . . . . . reflection over the y-axis
__
B = (-11, -17)
C = (11, -17)
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<em>Check</em>
Reflection over both axes negates both coordinates. It is equivalent to reflection over the origin, or rotation 180°.
A(-11, 17) ⇒ C(11, -17) . . . . . both coordinates change sign
Well, the last digit in the product will only come from the last digits of the numbers that you're multiplying together. So for 0.303 & 4.48, that last digits are 3 & 8 so that last digit in the product would come from
So 4. There are only two options that end in 4, 1.35744 & 0.13574. You can by the magnitude of the numbers that it isn't as small as 0.13574 so the answer must be 1.35744.
