Answer:
Step-by-step explanation:
Consecutive Exteriour Angles form a <em>linear</em><em> </em><em>pair</em>, so you set them equal to 
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The remainder when the polynomial f(x) = 3x³ - 4x² + 2x + 8 is divided by (x - 5) is constant an equal f(5).
Substitute x = 5 to the polynomial:
Answer: (3x³ - 4x² + 2x + 8) : (x - 5) = q(x) + 293.
Answer:
Step-by-step explanation:
The way you can solve this is by splitting the cube into two parts.
Split the top cube apart from the bottom cube and then find the volume of each and add them together.
The first cube on top would be 80x90x75= 540000 centimeters
The second cube would be 270x75x80=1620000 centimeters
540000+1620000=2160000 centimeters
Hope this help!
Comment if you would like a visual drawing of the math!!
(Also the answer can be written as 21600 meters)
It takes 12 minutes to fill the bathtub!!
hope this helps ;))
Let the first number of the five we are looking for equal n.
Because the numbers are consecutive, the next four can be expressed as (n+1), (n+2), (n+3) and (n+4).
Our series of 5 numbers is therefore n,(n+1),(n+2),(n+3),(n+4).
We are told the sum of the squares of the first 3 is equal to the sum of the squares of the last 2 therefore:
n² + (n+1)² + (n+2)² = (n+3)² + (n+4)²
expand all the brackets to give
n² + n² + 2n + 1 + n² + 4n + 4 = n² + 6n + 9 + n² + 8n + 16
3n²+6n+5 = 2n²+14n+25
n²-8n-20=0
factorising this gives us
(n+2)(n-10) = 0 so the solutions are n=10 and n=-2
That means that n,(n+1),(n+2),(n+3),(n+4) could be [-2, -1, 0, 1 and 2] or [10, 11, 12, 13 and 14].
Since the question asks for whole numbers, and negative numbers are not classed as whole numbers, the numbers we want must be 10, 11, 12, 13 and 14.
You can check this on a calculator by doing 10² + 11² + 12² (=365) and 13² + 14² (=365).
