Answer:
169.6 m³
Step-by-step explanation:
the volume = 3.14 × 3² × 6
= 3.14 × 54 = 169.6 m³
(cos(x) + cos(y))^2 + (sin(x) - sin(y))^2 Remove the brackets
cos^2(x) + cos^2(y) + 2cos(x)*cos(y) + sin^2(x) - 2(sin(x)*sin(y) + sin^2(y) Combine these two in bold to make 1 because sin^2(x) + cos^2(x) = 1
1 + cos^2(y) + 2cos(x)*cos(y) - 2*sin(x)*cos(y) + sin^2(y)
These two in bold also make 1
2 + 2cos(x)*cos(y) - 2*sin(X)*sin(y) Bring out a common factor of 2
2 +2(cos(x)*cos(y) - sin(x)*sin(y) )
but cos(x+y ) = cos(x)*cos(y) - sin(x)*sin(y)
2 + 2* cos(x + y) is your final answer.
1 is the whole number which means it goes before the decimal point. 2/10 is the fractional piece making it go after the decimal point in the tenths place.
1 2/10 = 1.2
Answer:
y = 3/2 x + 9
Step-by-step explanation:
take the two points and find slope :
12 - 3 / 2 - (-4) = 3/2
then use the slope and one of the points to find the y-intercept :
y = 3/2 x + b
3 = 3/2 * (-4) + b (Substitute)
3 = -6 + b (Multiplication)
3 + 6 = -6 + b + 6 (Addition)
b = 9
so, your final slope-intercept equation is :
y = 3/2 x + 9
4x - 2 = 2x - 10
First, subtract 2x from both sides. / Your problem should look like:
Second, subtract 4x - 2 - 2x to 2x - 2. / Your problem should look like:
Third, add 2 to both sides. / Your problem should look like:
Fourth, simplify -10 + 2 to get -8. / Your problem should look like:
Fifth, divide both sides by 2. / Your problem should look like:
Sixth, simplify

to 4. / Your problem should look like:

Answer:
x = -4