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eimsori [14]
3 years ago
8

Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,... a(n)=

Mathematics
1 answer:
masha68 [24]3 years ago
3 0

a is the beggining number and n is the amount of times needed to do this. if is   17 you would need to subtract 7 from the originol number 12 (a)  that many times.

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Using the pythagorean theorem, calculate the length of the missing sides (c1, c2, c3)​
katrin [286]

Answer:

the Pythagorean theorem states:  a^2 + b^2 = c^2  

1) in this case a=18 and b1=25

18^2 + 25^2 = c1^2  

324 + 625 = c1^2

949 = c1^2

√949 = c1

cca. 30.8 = c1

2) in this case a=18 and b' = b2 - b1 = 40 - 25 = 15

in the picture im attaching i highlighted the triangles we are working with, and there you can clearly see that b' (the horizontal line at the bottom of the red tr.) is the difference between the lines b2 and b1

now you can use the same technique as in the first case, and the final answer will be cca. 23.4 = c2

3) in this case a=18 and b'' = b4 - b3 = 75 - 55 = 20

same thing as number 2, final answer cca. 26.9 = c3

4 0
3 years ago
A set of data has 50 observations. How many classes would you recommend?​
nignag [31]

Answer:

  • 6 classes

Step-by-step explanation:

If k is the number of classes and n is the number of observations, then for number of classes we should select the smallest k such that 2^k > n.

<u>We have n = 50 and:</u>

  • 2^5 = 32 < 50
  • 2^6 = 64 > 50

As per above described 2 to k rule, we are taking k = 6.

So 6 classes should be used.

6 0
3 years ago
Solve the inequality<br> Z-2&gt;2<br> Z &gt; 2?
Troyanec [42]

Answer:

Z> 4

So Z> 2 is true

Step-by-step explanation:

Given that:

Z-2>2

Adding 2 on both sides

Z-2 + 2 >2 + 2

Z > 4

hence the equation Z > 2 is true

i hope it will help you!

5 0
3 years ago
An isosceles triangle △ABC with the base BC is inscribed in a circle. Find the measures of angles of the triangle, if measure of
____ [38]

Answer:

  • angle at A: 51°
  • base angles: 64.5°

Step-by-step explanation:

The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.

The base angles  at B and C are the complement of half this value, or ...

  90° -(51°/2) = 64.5°

The angle measures in the triangle are ...

  ∠A = 51°

  ∠B = ∠C = 64.5°

6 0
3 years ago
Please help me with the correct answer
STatiana [176]

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
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