Answer:
72.3
Step-by-step explanation:
Given that:
The arithmetic sequence:
The first term of the sequence 
= 3 since k = 0
i.e (3 + 0.26(0)) = 3
The last term of the sequence 
= 6.64
i.e (3+ 0.26(14)
= (3 + 3.64)
= 6.64
Total no of terms = 15 i.e from 0 to 14
∴
The partial sum of the arithmetic sequence = 
= 72.3
Answer:
C. Ф = 4 radians
Step-by-step explanation:
Given,
Radius of the Circle (r) = 3cm
Length of the Arc (S) = 12cm
In any circle of radius r, the arc length S to the circumference equals the ratio of the angle θ subtended by the arc at the centre and the angle in one revolution. Thus, measuring the angles in radians, S=rθ.
Therefore, S = r*Ф
12 = 3*Ф
Hence, Ф = 4 radians
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Answer:
$25
Step-by-step explanation:
well you have to identify what the method is first.
He is basically pricing things by the count of 5. So, you can assume that it would cost $25.
Idk, this is a weird problem
There exist an abbreviation that ALL - S - T - C where all trigonometric functions in first quandrant are positive. S, T, and C are the first letters of the trigonometric functions that are positive in quadrant 2, 3, and 4, respectively. This also means that in the same quadrant, their reciprocals are also positive. For the given above, it is in Quadrant 3 where T is positive and cosine is negative.
Answer:
The first box will have 90 marbles, the second 180 and the third 270.
Step-by-step explanation:
Division in a ratio of 1:2:3
1 + 2 + 3 = 6
So
The first box will have 1/6 of the marbles.
The second box will have 2/6 = 1/3 of the marbles
The third box will have 3/6 = 1/2 of the marbles.
First box:
One sixth, so:
(1/6)*540 = 540/6 = 90
Second box:
One third, so:
(1/3)*540 = 540/3 = 180
Third box:
One half, so:
(1/2)*540 = 540/2 = 270
The first box will have 90 marbles, the second 180 and the third 270.
