Answer:
D=m/v
=225g/15cm^3
=15g/cm^3
Step-by-step explanation:
The formula for calculating density is: density=mass/volume.
after collecting data you will see that all the data is already in the question and there's no need to convert any units. Divide the mass by the volume and you'll have the density in g/cm^3
Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.
Line BD is placed in the middle, making D the midpoint of side AC.
knowing this information we can determine that the length of DC is 4 units (half of AC)
since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD
a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)
we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third
4² + b²= 8²
16 + b² = 64
b² = 48
b = 
b= 4√3 or about 6.928 units
hope this helped
x = 3 + y Eqn(1)
y = -2x + 9 Eqn(2)
Let us solve the system of equations with the substitution method
x - 3 = y (Subtracting 3 from both sides of the Eqn(1))
Replacing y = x - 3 in Eqn (2), we have:
x - 3 = -2x + 9
x = -2x + 9 + 3 (Adding 3 to both sides of the equation)
x + 2x = 9 + 3 (Adding 2x to both sides of the equation)
3x = 12 ( Adding like terms)
x = 12/3 (Dividing by 3 on both sides of the equation)
x = 4
Replacing x=4 in Eqn(1), we have:
4 = 3 + y
4 - 3 = y (Subtracting 3 from both sides of the equation)
y=1
The answers are:
x= 4 and y=1
Answer:
- 5/48, 3/16, .5, .75, 13
- 1/5, .35, 12/25, .5, 4/5
- -3/4, -7/10, 3/40, 8/10
- -.65, -3/8, 5/16, 2/4
Step-by-step explanation:
- 5/48 = 1.0291666666 | 3/16 = .1875 the rest is obvious
- 1/5 = .2 | 12/25 = .48 | 4/5 = .8
- -3/4 = -.75 | -7/10 = -.7 | 3/40 = .075 | 8/10 = .8
- -3/8 = -.375 | 5/16 = .3125 | 2/4 = .5
Yes, because they both have the same slope, and a translation doesn't have an affect of the slope. Both slopes are 1, because they are going +1x and +1y, or 1/1 which = 1.
