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lesya692 [45]
2 years ago
15

Need help ASAP!!!!!!!!!

Mathematics
1 answer:
Tom [10]2 years ago
4 0

Answer:

B,true,C,1352

Step-by-step explanation:

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The answer to this questions is letter B
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For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.
Flauer [41]

 

\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\

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\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276

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\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}    

 

 

8 0
2 years ago
Heba ate 1/12 of a box of cereal. Now the box is 3/4 full
vaieri [72.5K]

Answer:

5/6

Step-by-step explanation:

1/12 + 3/4 = 9/12

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simplify 10/12

= 5/6

7 0
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Find m2C in the quadrilateral.
saul85 [17]

Answer:

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Step-by-step explanation:

there are 4 sides so we first need to find the total interior angle:

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m∠C = 360° - 90° - 90° - 73°

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8 0
2 years ago
The answer I don’t know how to do this promem
cupoosta [38]

Answer: if you show us the whole picture, maybe we will be able to solve it?


Step-by-step explanation:

just retake the picture so i can see the whole thing

8 0
3 years ago
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