We need to put all elements in one side so that the other side is 0. Then, apply quadratic formula to solve the problem. To do that, we need to subtract both sides by 4.
Answer:
work is shown and pictured
Answer:
a)1017.88 cm³
b)63.62 cm² (corr. to 2 d. p.)
c)452.39 cm² (corr. to 2 d. p.)
d)579.63 cm²
Step-by-step explanation:
a) Volume = π x r x h = π x (9/2) x 16 = 1017.88 cm³
b) area of tin is used = circle = π x (9/2)² = 63.62 cm² (corr. to 2 d. p.)
c) area of cardboard is used = 2 x π x (9/2) x 16 = 452.39 cm² (corr. to 2 d. p.)
d) total area surface = 2(63.62) + 452.39 = 579.63 cm²
Answer
The arc length of the semicircle is 5 units or 15.7 units
Answer:
-27
Step-by-step explanation:
First, let's call the smallest number: n
Then, the next two consecutive odd numbers would be:
n+2 and n+4 (this is because it's only odd numbers so we add 2)
We know the sum of these is −75 so we can write this equation and solve for n:
n + (n + 2) + (n + 4) = -75
n + n + 2 + n + 4 = -75
n + n + n + 2 + 4 = -75
n + n + n + 6 = -75
1n + 1n + 1n + 6 = -75
3n + 6 = -75 Subtract 6 from each side, which cancels the 6 on the left.
3n + 6 - 6 = -75 - 6
3n = -75 - 6
3n = -81 Divide each side by 3
3n/3 = -81/3
n = -81/3
n = -27
n + 2 = -27 + 2 = -25
n + 4 = -27 + 4 = -23
The 3 consecutive odd integers would be:
-27, -25, -23
Let's check our work:
-27 + -25 + -23 = -75 We are correct!
The smallest number is -27