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Rasek [7]
3 years ago
10

The total number of lights in a triangular rig with n rows is given by the function T(n) as given. Find the number of lights in

triangular rigs with 1 to 10 rows.
T(n)=1/2n^2+1/2n
Mathematics
1 answer:
nydimaria [60]3 years ago
4 0
T(1) = 1/2(1)^2 + 1/2(1) = 1/2 + 1/2 = 1
T(2) = 1/2(2)^2 + 1/2(2) = 1/2(4) + 1 = 2 + 1 = 3
T(3) = 1/2(3)^2 + 1/2(3) = 1/2(9) + 3/2 = 9/2 + 3/2 = 12/2 = 6
.
.
.
T(10) = 1/2(10)^2 + 1/2(10) = 1/2(100) + 5 = 50 + 5 = 55

Therefore, the number of lights in triangular rigs with 1 to 10 rows are: 1, 3, 6, 10, 15, 21, 28, 36, 45, 55
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Step-by-step explanation:

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When the scale factor is greater than 1, the image obtained after the  dilation is greater than the pre-image and it is an "Enlargement".

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In this case we know that the scale factor is:

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Since:

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You can identify that the vertices of the pre-image shown in the figure, are:

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So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

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8 0
4 years ago
When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a
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