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Marina86 [1]
3 years ago
12

Estimate the length of the segment

Mathematics
1 answer:
OleMash [197]3 years ago
6 0
There’s not an imagine attached here but I’m glad to help!
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3 dice of different colors are rolled, and the number coming up on each die is recorded. how many different outcomes are possibl
Dmitrij [34]
Assuming the dice go up to a maximum value of 6. The maximum number of different outcomes is 6^3 (6 times 6 times 6) which would be 216.
8 0
4 years ago
19 POINTS HELP PLEASE! Complete the table and pattern. Determine the common difference. Write the explicit rule.
Sonbull [250]

4.

a_1=-20,\ a_3=-15\\\\2d=a_3-a_1\to 2d=-15-(-20)\to2d=-15+20\to2d=5\to d=2.5\\\\a_n=a_1+(n-1)d\to a_n=-20+(n-1)(2.5)=-20+2.5n-2.5=2.5n-22.5\\\\a_2=2.5(2)-22.5=5-22.5=-17.5\\\\a_4=2.5(4)-22.5=10-22.5=-12.5\\\\a_6=2.5(6)-22.5=15-22.5=-7.5

<u>n   |    1     |   2    |   3   |   4   |   5    |   6   |</u>

f(n)|  -20  | -17.5 |  -15  |-12.5|  -10  | -7.5 |

First term: -20     Common Difference: 2.5

Explicit Rule:  a_n=2.5n-22.5       Recursive Rule: a_1=-20,\ a_n=a_{n-1}+2.5

5.

a_1=123,\ a_2=131\\\\d=a_2-a_1\to d=131-123=8\\\\a_n=a_1+(n-1)d\to a_n=123+(n-1)(8)=123+8n-8=8n+115\\\\a_3=8(3)+115=24+115=139\\\\a_5=8(5)+115=40+115=155\\\\a_6=8(6)+115=48+115=163

<u>n   |    1     |   2    |   3   |   4   |   5    |   6   |</u>

f(n)|  123  |  131   | 139 | 147  |  155  | 163 |

First term: 123      Common Difference: 8

Explicit Rule:  a_n=8n+115       Recursive Rule: a_1=20,\ a_n=a_{n-1}+8

3 0
3 years ago
The floor plan of a factory is dilated by a factor of 4 to create a new, larger floor plan.
Flura [38]

The original floor could be rectangle in shape.

If we consider the length of floor to be 'L' and width of floor to be 'W',

then area of original floor = length x width = LW.

And if its dimensions are dilated by scale factor of 4 to make new floor, then new length and width would become four times of older values. So new length would be '4L' and new width would be '4W'

Now area of new floor = length x width = 4L x 4W = 16LW.


It is clear that the area of new floor is 16 times of the area of original floor.

So, option C i.e. 16 is the final answer.

7 0
4 years ago
A bridge is supported by triangular braces. IF the sides of each brace have the lengths 3 feet, 46 feet, and 40 feet, find the m
Sunny_sXe [5.5K]

Answer:

<em>46.76</em>

Step-by-step explanation:

Applying the law of cosines

8 0
3 years ago
Someone please help me solve this problem
Readme [11.4K]

Answer: slope=2/3

Step-by-step explanation: The line starts at (0,3). If you go up 2 units, and over 3 units, that’s the next place where the line crosses an ordered pair (2,6).

6 0
4 years ago
Read 2 more answers
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