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Digiron [165]
2 years ago
8

Find the 73rd term of the arithmetic sequence -28, -41, -54, ...

Mathematics
1 answer:
PolarNik [594]2 years ago
3 0

Answer:

the 73rd term of the arithmetic sequence is -964.

Step-by-step explanation:

The common difference in this arithmetic sequence is 13.  This is obtained by subtracting 28 from 41.  The first term is a(1) = -28.

The arithmetic sequence formula is a(n) = a(1) + d(n - 1), where d is the common difference and -28 the first term.

Then, in this case, a(n) = -28 - 13(n - 1), and

a(73) = -28 - 13(73 - 1) = -964

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a square lawn has a perimeter of 36 meters and a circular exercise run has a circumference of 36 meters which shape will give ri
neonofarm [45]

Answer:

The square lawn.

Step-by-step explanation:

This is because a perimeter of 36 meters means that it is 81 ft^2 of total area.

A circle of 36 meters means that it would be 36/2\pir, which would be smaller that 81 ft^2.

4 0
3 years ago
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The line that is the perpendicular bisector of the segment whose endpoints are R(-1, 6) and S(5, 5)
velikii [3]
I think what you are looking for is to indicate an ecuation for this. So lets do the procedure: 
First you need to find the slope of this line. 
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<span>So, The slope of the perpendicular line is the opposite reciprocal, which is </span>
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That is why we are going to <span>use the mid point equation </span>
<span>x = (-1 + 5)/2 = 2 </span>
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<span>(y - 11/2) = 6(x - 2) </span>
<span>The last thing you do is rearrange the equation to get y = 6x - 6.5
Hope this is what you were looking for </span>
8 0
3 years ago
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Triangle ABC has a side measuring 7 inches, a side measuring 10 inches, and an angle measuring 38°. To construct another triangl
ki77a [65]
The complete question gives the following options:
A) The 7-inch side and the 10-inch side must make a 52° angle.
B) The 7-inch side and the 10-inch side must make the 38° angle.
C) It does not matter whether or not the 7-inch side and the 10-inch side make a 52° angle.
<span> D) It does not matter whether or not the 7-inch side and the 10-inch side make the 38° angle. 

According to the SAS rule for triangle congruency, two triangles are congruent if they have congruent two sides and the angle included.

Therefore, the only way to build a triangle congruent to ABC is to say that the given angle is the one included between the two sides.
Therefore, the correct answer is: </span><span>B) The 7-inch side and the 10-inch side must make the 38° angle.  </span>
5 0
3 years ago
You own 6 hats and are taking 2 on vacation. In how many different ways can you choose 2 hats from 6
Alex_Xolod [135]
Hats 1,2,3,4,5,6
1,2
1,3
1,4
1,5
1,6
2.3
2,4
2,5
2,6
3,4
3,5
3,6
4,5
4,6
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15 different combinations 
3 0
3 years ago
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What is the probability of flipping a coin 85 times and getting tails 40 times or fewer? Round your answer to the nearest tenth
Ilya [14]

Answer:

C. 33.2%

Step-by-step explanation:

Number of trials n = 85

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P(x ≤ 40) = 0.332

5 0
3 years ago
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