Answer:
Step-by-step explanation:
sin(x+y) = sin(x)cos(y) + sin(y)cos(x)
sin(x-y) = sin(x)cos(y) - sin(y)cos(x)
Sin(x+y)sin(x-y) = (sin(x)cos(y) + sin(y)cos(x))(sin(x)cos(y) - sin(y)cos(x))
= sin^2(x)cos^2(y) - sin^2(y)cos^2(x)
= sin^2(x)(1-sin^2(y)) - sin^2(y)(1-sin^2(x))
= sin^2(x) - sin^2(x)sin^2(y) - sin^2(y) + sin^2(x)sin^2(y)
= sin^2(x) - sin^2(y)
So L.H.S=R.H.S
Hence proved
A kilo means 1,000. there for there are always 1,000 grames in one kilo.
Answer:
The root beer mug
Step-by-step explanation:
To known what vessels holds more root beer, we must find the volume (this is the holding capacity) of the two vessels. From the description given, the mug is a cylinder while the glass is a cone.
The volume V of a cylinder whose height is h and radius r may be found as
V = πr²h
The volume V of a cone with similar features
V = 1/3πr²h
Hence the volume of the mug shaped basically like a cylinder that is eight inches tall with a radius of three inches
= π * 3² * 8
= 72π Inches³
Given that the cone shaped bottle has a diameter of four inches, the radius r = 4/2
= 2 inches
Hence the volume of the bottle
= 1/3 * π * 2² * 18
= 24π Inches³
Based on comparison, the mug holds more root beer
Answer:
dewdwdwwwdddddd
Step-by-step explanation:
f youuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu
Answer:
Step-by-step explanation:
We can observe that all three sides of triangles have same ratio:
- MN/WX = 10/5 = 2
- NP/XY = 12/6 = 2
- MP/WY = 18/9 = 2
The triangles are similar by SSS similarity theorem.
We take the vertices in same order to name similar triangles:
Similarity is given as:
Correct answer choice is C.