Density = mass / volume.
Volume = Final reading - Initial reading = 7 - 2 = 5 cm^3
Hence,
D = 25 / 5 = 5 g/cm^3
<span>Remember, cubic centimeters is a volume unit (the same volume as 1 milliliter)</span>
Hope that helped!
Sin(90-x)=cos(x), so 90-x=x+20. Solve for x:
90-x=x+20
70=2x
x=35 degrees.
Proof for the identity, sin(90-x)=cos(x):
Recall the following formulas:
These sides are relative to the same reference angle, x. If you use the angle 90-x instead, then a few things change. The hypotenuse does not change, because the two triangles will share that side. Because the triangles are both right triangles, if they share the same hypotenuse, then they will form a rectangle. A rectangle has equal opposite sides. This is illustrated clearly in the attached image.
The side that was opposite of the angle x is the same length as the side that is adjacent to the angle 90-x, and the side that was adjacent to the angle x is the same length as the side that is opposite of the angle 90-x. So, if you have cos(x), it is the side adjacent to the angle x divided by the hypotenuse. The side adjacent of the angle x is equal to the side opposite of the angle 90-x. So cos(x) is also equal to the side opposite of the angle 90-x divided by the hypotenuse. Does this sound familiar? It is the trig function for sine. So sin(90-x)=cos(x).
Add the x-coordinates and divide by 2.
Add the y-coordinates and divide by 2.
x-coordinate of midpoint: (-3 + 5)/2 = 2/2 = 1
y-coordinate of midpoint: (4 - 8)/2 = -4/2 = -2
Answer: (1, -2)
Answer:
M
Step-by-step explanation:
AB was dilated by scale factor of 2 to create A'B'.
Connect points A and A' with a straight line, connect points B and B' with a straight line. The point where these two straight lines will intersect is the center of dilation.
As you can see, these lines intersect at point M, so, point M is the center of dilation.
<span>Each yard is three feet, which means 8 x 3 = 24 feet. Then, you would take 24 divided by 3, which equals 8, and each piece would be 8 feet long. One foot equals 12 inches, so 12 x 8 = 96 inches, making each piece 96 inches.</span>