Triangle LURLURL, U, R has a uniform thickness of 2.52.52, point, 5, as shown at left. The length of \overline{UD} UD start overline, U, D, end overline, which is the height of the triangle, is 25\sqrt325 3 25, square root of, 3, end square root. The triangle has a right angle at vertex UUU and an angle of \dfrac\pi6 6 π start fraction, pi, divided by, 6, end fraction at vertex RRR. Given that the width, www, of the shaded triangle is about 50\sqrt{3}50 3 50, square root of, 3, end square root, what is the height, hhh, of the shaded triangle to the nearest tenth?

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

c > -10.55

step-by-step explanation:

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.