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Tcecarenko [31]
3 years ago
12

45+ 46+47+ 48+ ... 113 + 114Gauss approach

Mathematics
1 answer:
Doss [256]3 years ago
3 0

Answer:

5565

Step-by-step explanation:

1+2+3+4...+113+114=\frac{114*115}{2} =6555

1+2+3+4 ... +43+44=\frac{44*45}{2} =990

Thus, 45+46+47+48...+113+114= 6555-990=5565

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Need help please anyone
Dafna11 [192]

Answer:

70°

Step-by-step explanation:

The minor angle of AB forms a straight line with angle x. When summed up it equals 180°.

minor angle of AB + x° = 180°

110° + x° = 180°

x° = 180° - 110°

= 70°

Enjoy!!!

5 0
3 years ago
A fair coin is tossed three times in succession. The set of equally likely outcomes is StartSet HHH comma HHT comma HTH comma TH
liq [111]

The probability of getting exactly zero tails is 1/8.

Step-by-step explanation:

When a fair coin is tossed three time, the set of equally likely outcomes is:

S= {HHH,HHT, HTH, THH, HTT, THT, TTH, TTT}

n(S)=8

Let A be the event that there are exactly zero tails which means there are all heads

Then

A= {HHH}

n(A)=1

P(A)=\frac{n(A)}{n(S)}\\=\frac{1}{8}

The probability of getting exactly zero tails is 1/8.

Keywords: Probability, Equally likely events

Learn more about probability at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

5 0
2 years ago
Sarah answered 24 questions on her test correctly and earned an 80%. How many questions were on the test?
MaRussiya [10]

Answer:

43 questions in total

Step-by-step explanation:

the original equation with the unknown (total number of questions on the test) will look like this

\frac{total \: number \: of \: questions \: on \: exam}{24 \: answered \: questions}  = 80\%

we know this because to work out a percentage in the 1st place you need the total ÷ number (in this case it's ÷ how many questions out of the total she did answer)

now you rearrange.

you need to move the 24 to get the total on it's own here's how you do it

\frac{tot \: num \: of \: qs}{24}  \times 24 = 80\% \times 24

what you do to one side of equation you have to do to the other. the 24 and 24 on the left will cancel because 24÷24=1 and we don't write

got mum of Q's x 1= 80 x 24

now you convert % to decimal

80\% \times 100 = 0.80

replace

tot \: num \: qs \:  = 24 \times 0.80 = 19

now you take the original and + the 19

24 + 19 = 43

therefore there are a total of 43 questions on the exam

5 0
3 years ago
Factoring expressions 9+36w
alexdok [17]

Answer:

9( 1 + 4w)

Step-by-step explanation:

So if you're simplifying then you need to find the greatest common factor. The GCF is 9.

8 0
3 years ago
HELP PLEASE!!!!
Anestetic [448]
<span>To find her take home pay, you subtract her deductions from her gross pay and then divide her take-home pay by her gross pay and then multiply by 100%.
So,
</span><span>Take-home pay = 2644-548.30=2095.70 Percent = (2095.70/2644)*100%=79.262%
So your answer is </span><span>B)79%
</span><span>Hope this helps :)
If you need anymore help with questions then feel free to ask me :D</span>
4 0
3 years ago
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