Answer:
1385
Step-by-step explanation:
1) the difference is d=25-8=42-25=17;
the sequence given in the condition is arithmetic one (linear relationship).
2) in order to calculate the value of the 82d term:
a(n)=a(1)+d*(n-1), where n - number of required term (it is 82), then
a(82)=8+17*(82-1)=8+1377=1385.
Answer:
Step-by-step explanation:
The significant figures of a number that carry meaningful contribution to its measurement resolution
Ok, sqrt(-32) deals with imaginary numbers. This is because you can't take the square root of a negative number. So, we'll split that up into:
sqrt(32)•sqrt(-1)
And since sqrt(-1) = i, I'll use that from this point forth.
So we have i•sqrt(32)
Now, to simplify sqrt(32), we'll split it up into sqrt(16) • sqrt(2) because sqrt(16) =4
This will leave us with a final answer of 4isqrt(2)
Hope this helps & wasn't too confusing!
Answer:
x=23 degrees
Step-by-step explanation:
We know that the sum of interior angles in a triangle is equal to 180 degrees, and we see that one of the angles is 67 and the other one is 90 degrees. So we can do this two ways, ones more complicated then the other that you may not of learned yet
The first way:
You simply do 180-67-90 to get 23
Second way:
We can use the exterior angle theorem to know that 67+x=90 degrees so you simplify on both sides and you get 23 again.
Answer: rhombus
Step-by-step explanation:
By inspection, we can tell that there are no right angles, so we can determine it is not a square or a rectangle.
From the options, it is implied that it is a parallelogram, so to determine if it is a rhombus, we can determine if there is a pair of consecutive congruent sides.
By the distance formula,
As AB=BC, there is indeed a pair of consecutive congruent sides, and thus the most specific classification is a <em>rhombus</em>