Answer:
3x + 1/2x
Step-by-step explanation:
Just replace "a number" with x
"Three times x added to half x"
Answer:
B
Step-by-step explanation:
When the function is less than but equal to and it's opposite are always solid dots. By this you can do simple process of elimination.
V=1/3πr^2h
d=3.6 in.
r=1.8 in.
V=1/3×π×1.8^2×3
V≈10.1736 cubic inches. As a result, the volume of the funnel is 10.1736 cubic inches. Hope it help!
I've answered your other question as well.
Step-by-step explanation:
Since the identity is true whether the angle x is measured in degrees, radians, gradians (indeed, anything else you care to concoct), I’ll omit the ‘degrees’ sign.
Using the binomial theorem, (a+b)3=a3+3a2b+3ab2+b3
⇒a3+b3=(a+b)3−3a2b−3ab2=(a+b)3−3(a+b)ab
Substituting a=sin2(x) and b=cos2(x), we have:
sin6(x)+cos6(x)=(sin2(x)+cos2(x))3−3(sin2(x)+cos2(x))sin2(x)cos2(x)
Using the trigonometric identity cos2(x)+sin2(x)=1, your expression simplifies to:
sin6(x)+cos6(x)=1−3sin2(x)cos2(x)
From the double angle formula for the sine function, sin(2x)=2sin(x)cos(x)⇒sin(x)cos(x)=0.5sin(2x)
Meaning the expression can be rewritten as:
sin6(x)+cos6(x)=1−0.75sin2(2x)=1−34sin2(2x)
Answer:
78 m^2 Unless I got some of the measurements wrong, kinda hard to see them.
Step-by-step explanation:
The surface area will be the sum of the area of each face. so lets see, there is the base (in this orientation) which is a 8x3 rectangle it looks like.
then two trianglular sides with both having a base of 8 and height of 3
then two "roof" pieceswhich are rectangles again, one side of 3 and the other 5.
Now we add each face up.
rectangular base = 3x8 = 24
2 triangular sides = 2(.5*8*3) = 24
2 rectangular roof pieces = 2(5*3) = 30
Now add it all up
24+24+30 = 78
