63.5÷0.25=254
i dont rmeber how to do the last part though sorry
Answer: 1.61
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Work Shown:
tan(angle) = opposite/adjacent
tan(J) = IK/IJ
tan(J) = 45/28
tan(J) = 1.60714 approximately
tan(J) = 1.61
First we should figure out the volume of the prism (ignoring the cylinder at the moment)
(base * height/2)*depth
We need to find the height of the triangle which can be done with pythagoras because this is a right angled triangle (as shown by the little square at the bottom)
12 is the hypotenuse.
√12²-10² =6.63 (rounded)
Now we have the height of the triangle and can find the volume.
12*6.63/2*15=596.7
Now we find the volume of the cylinder.
area of circle * depth
area=3.14*1.5²
3.14*2.25
7.065
7.065*15=105.975
Now we subtract the volume of the cylinder from the volume of the prism and you have:
596.7-105.975
490.725 which is your answer
Hope this helps :)
First, solve for the slope. This can be found by looking at the y and x intercepts. At x = 0, y = 1.5. At x = 2, y = 0.
Slope is defined as Δy/Δx, or the change in y over the change in x. This means that in order to calculate the slope, you must find the difference between the values of y and divide it by the difference in the values of x for the two points to determine the slope between them.
(0 - 1.5)/(2-0) = (-1.5)/2 = -0.75 or -3/4
Now that you have the slope, we can write the equation in slope intercept form, y = mx + b, where m is the slope we calculated and b is the y intercept, 1.5.
y = (-3/4)x + 1.5