X = height of pole (in meters)
With respect to the 50 degree angle, the side x is the opposite leg. It is the leg furthest from the reference angle. The hypotenuse is 5 meters.
The trig function sine ties together the opposite and hypotenuse
sin(angle) = opposite/hypotenuse
sin(50) = x/5
5*sin(50) = x .... multiply both sides by 5
x = 5*sin(50)
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Since x = 5*sin(50) isn't listed as an answer choice, let's try using cosine. We can't use it right away because we don't know the adjacent side. What we can do is change the reference angle. The missing angle of the triangle is 90-50 = 40 degrees. Let's make the 40 degree angle the reference angle
So x is now the adjacent side with respect to the 40 degree reference angle. The hypotenuse is always the longest side. The hypotenuse stays at 5.
cos(angle) = adjacent/hypotenuse
cos(40) = x/5
5*cos(40) = x
x = 5*cos(40)
This expression is listed. The answer is choice B
Answer:
MAD = 0
Step-by-step explanation:
When I calculated this by hand I got 0. To find the MAD:
1. You first need to find the mean of the numbers.
4 + 5 + 8 + 8 + 10 = 35
35/5 = 7
the mean value = 7
2. Then you must find the absolute value of the difference between each data value and the mean: |data value – mean|
(4 - 7) = -3
(5 - 7) = -2
(8 - 7) = 1
(8 - 7) = 1
(10 - 7) = 3
3. Add the difference values up
(-3) + (-2) + 1 + 1 +3 = 0
4. Divide the sum of the absolute values of the differences by the number of data values.
0/5 = 0
The answer is B because first u subtract 3y from both sides and then subtract 15 from both and then divide both sides by -5 and u’ll have y=-5/3x+5 so -5/3 is the slope
Answer:
8x-10
Step-by-step explanation:
2x3x=6x, 2 x x=2x, 2x-5=-10 so 6x+2x-10= 8x-10
