I’m not sure if this is actually a strategy but can I get brainliest please. If I’m not allowed to use a calculator then I would covert the decimals to fractions. I would covert them to the simplest fractions before multiplying so that the answer is as closest to its simplest form as possible.
There are 8 equal parts. Each part is 1/8 of the whole 8/8
Answer: aₙ = -12 + 4*n
Step-by-step explanation:
We know that:
a₃ = 0
a₄ = 4
a₅ = 8
a₆ = 12
a₇ = 16
This seems to be an arithmetic sequence.
To test this, we need to calculate the difference between any two consecutive terms in the sequence, and this must be a constant for any pair that we choose.
a₄ - a₃ = 4 - 0 = 4
a₅ - a₄ = 8 - 4 = 4
a₆ - a₅ = 12 - 8 = 4
etc
we can conclude that this is an arithmetic sequence.
The n-th term in an arithmetic sequence, where the increase between consecutive terms is 4, is:
aₙ = aₙ₋₁ + 4.
Another way is:
aₙ = a₀ + n*4.
Where to find a₀, we can start with the value that we know and go back:
a₂ = a₃ - 4 = -4
a₁ = a₂ - 4 = -8
a₀ = a₁ - 4 = -12
Then the n-th term can be written as:
aₙ = -12 + 4*n
What you are going to need to do ( I believe from my prior knowledge), you need to find the opposite of the 60° first. Your calculator needs to be in degree mode. 1st equation;
(60)tan(x/4sq14)
Once you find this answer, apply it to the opposite of the 60° angle on the far right.
Then you are going to do the solution of the equation I just stated above, times 4sq14 using the Pythagorean theorem theory shown down below.
a^2 + b^2 = c^2
first answer^2 + 4sq14^2 = C^2
C^2 will then provide the short legs of the larger triangle (they are congruent lengths in a 45-45-90 triangle)
Multiply the value of c times c without squaring either of them, like so, this will lead to the answer of X
C times C = “x”
Hope this helps!
After h hours A has 6000 - 2000h cells and B has 2000 - 1000h. Equating them as one form:
6000 - 2000h = 2000 - 1000h
-2000h + 1000h = 2000 - 6000
-1000h = -4000
h = -4000/-1000 = 4 hours