Answer:
2×2×3×7
Step-by-step explanation:
84 is even, so divisible by 2. 84 = 2×42
42 is even, so divisible by 2. 82 = 2×2×21
21 has a sum of digits of 3, so is divisible by 3. 84 = 2×2×3×7
Answer:
The larger angle is 143
Step-by-step explanation:
x + y = 180 (This is the meaning of supplementary. Two angles make up 180 degrees)
4x - 5 = y
x + (4x - 5) = 180 Remove the brackets.
x + 4x - 5 = 180
5x - 5 = 180 Add 5 to both sides
5x - 5 +5 = 180 + 5 Combine
5x = 185 Divide by 5
5x/5=185/5
x = 37
y = 4*37 - 5
y = 148 - 5
y = 143
180(n-2)=n*144 in our casesolving for n we obtain:36n = 360n=10 sidesCHECK!!!!!!!!!!!!!!!!!!!
Answer:
x=0
Step-by-step explanation:
(5 x 6) - (5 x 1)= 5 x
5x X 6-5x X 1=5x
30x-5 X 1X x=5x
30x-5x=5x
25x=5x
25x-5x=5x-5x
20x=0
20X/20 = 0/20
x=0
Answer:
4
Step-by-step explanation:
The 1st cylinder used to fill the pitcher has:
height:
h = 9 in
radius:
r = r
The volume of a cylinder is given by:
Therefore, the volume of the 1st cylinder is
We are told that the water inside this cylinder can fill a certain pitcher, so this is also the volume of the pitcher.
Then, we have a second cylinder, which has height
h = 9 in
and radius
r' = 2r
So the volume of this cylinder is
This means that the number of pitchers that can be filled by this 2nd cylinder is
