Answer:
Karoun bought 12n + 15 numbers of pencils.
40 pencils
Step-by-step explanation:
If there are n numbers of pencils in each box of the pencil then there are 4n numbers of pencils in each package of pencils.
Now, Karoun bought 3 packages of pencils and get (5 × 3) = 15 pencils free of cost.
Therefore, Karoun bought (4n × 3) + 15 = 12n + 15 numbers of pencils. (Answer)
Now, if n = 10 pencils then in each package of pencils there will be 4n i.e. (4 × 10) = 40 pencils. (Answer)
Answer:
8
Step-by-step explanation:
1) 3/2 is the same as 1.5 so divide 12 by 1.5 to get 8
9514 1404 393
Answer:
B) obtuse
Step-by-step explanation:
I like to answer these questions using a "form factor" (f) computed as ...
f = a² + b² - c² . . . . . . . where a, b, c are side lengths with c the longest
Then ...
f = 9² +12² -17² = 81 +144 -289 = -64
The negative value indicates an obtuse triangle (largest angle more than 90°).
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f = 0 indicates a right triangle; f > 0 indicates an acute triangle.
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<em>Additional comments</em>
You may recognize that the two short sides have the ratio 9:12 = 3:4. You know a (3, 4, 5) triangle is a right triangle, so this triangle would be a right triangle if the longest side were 15. Since it is 17, you know the largest angle is more than 90°.
This "form factor" is related to the angle computation you would do to find the measure of the largest angle using the law of cosines. That angle is ...
C = arccos(f/(2ab)) = arccos(-64/216) ≈ 107.2°
Since the factor (2ab) is always positive, the sign of "f" tells you the sign of the cosine of the angle. It is negative for angles greater than 90°.
Answer:
Step-by-step explanation:
Because can further be factorised as (x - 2) (x + 2).
Answer:When solving systems of equation with three variables we use the elimination ... We then multiply the second equation with 3 on both sides and add that to the ... plug our x- and y-value into any equation in first system in order to determine
Step-by-step explanation: