the numbers should be
or
because you move the point 18 places to obtain 9.15(the dot is initially at the end of the number)
Answer:
<u>A≈301.44</u>
Step-by-step explanation:
The area of a cylinder is A=2πrh+2πr^2
You first do the first problem of the equation (A=2πrh)
You fill in the radius and height ( A=2π(4)(8) )
You first multiply 4 x 8 = 32. ( A=2π(32) )
Then you multiply 2 x 32 = 64. ( A=π(64) )
Then you multiply π x 64 (using 3.14 for π) = 200.96 m^2
You then do the second part of the equation. (A=2πr^2)
You fill in the radius. (A=2π(4)^2)
Then multiply 4 x 4 = 16 (because it's to the power of 2 [4 times itself twice]) and then multiply it by 2.
16 x 2 = 32. ( A=π(32) )
Next you just multiply 32 x π (using 3.14 for π again) = 100.48 m^2.
Then you just add them together:
200.96 m^2 + 100.48 m^2 = 301.44 m^2
So <u>301.44 m^2</u> is your answer.
(I hopefully think it is.)
<span>equivalent expressions</span>
Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
