The square's diagonal is the triangle's hypotenuse.
the original Pythagorean theorem is
where
a and
b are the two sides and
c is the hypotenuse.
that means the Pythagorean theorem for this question is:
or
1. -18 +15x = 3(4x-6) + 3x
-18 + 15x = 12x - 18 + 3x
-18 + 3x = -18 + 3x
3x = 3x
x = All Real Numbers (because we don't know what x is since the equation is 3x = 3x, we can assume that it is all "real" numbers)
2. -10 + 5x = 5(x - 3) + 5
-10 + 5x = 5x - 15 + 5
-10 = -10
Answer Undefined (because the x coefficients canceled out, we don't know what x even is, so we can claim it as undefined.)
Same side. Locate -3.9 on the number line. Then -0.99 is to the right of -3.9, with both numbers being on the same side (that is, on the left side) of zero.
Answer:
22.5
Step-by-step explanation:
What you need to do is calculate the volume of the Box. With the box being the volume of the piramid added to the prism surrounding the box with volume 15.
If you want to calculate it yourself stop reading here, because I will work it out now.
Volume box = a*b*c
Volume prism = 15
Volume pyramid = (b * c * a)/3
The prism has the volume of the box minus the pyramid so
abc - (abc)/3 = 15
abc - (1/3)abc = 15
(2/3)abc = 15
abc = 22.5
So 22.5 is the volume of the figure
Alright, so the money you make is automatically -1500 for the tools, so it's -1500. Next, the materials cost 200 dollars for each scooter, s, so we have -1500-200s. After that, we have 300 dollars for the sale of each scooter, so we have -1500-200s+300s. Adding -200 and 300 together, we have -1500+100s. To make a profit, that means 100s -1500 > 0. Dividing by 100, we have
s -15 >0 and s>15, so if you sold 16 scooters you'd make a profit. That profit would be 100*16-1500=1600-1500=100 dollars
