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Dima020 [189]
3 years ago
6

Can someone please help me with these couple of questions!

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0

Step-by-step explanation:

#44 y = 180-122 = 58

x = (180-58)/2 = 61

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Express a decimal number ( ie 0.768) - process description please - as a rational number (96/125)?
Stels [109]

The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as

1\cdot10^2+2\cdot10^1+3\cdot10^0+4\cdot10^{-1}+5\cdot10^{-2}+6\cdot10^{-3}

10^{-n}=\dfrac1{10^n} for any n, so the above is the same as

100+20+3+\dfrac4{10}+\dfrac5{100}+\dfrac6{1000}=\dfrac{100000+20000+3000+400+50+6}{1000}=\dfrac{123456}{1000}

Similarly, we can write

0.768=\dfrac{768}{1000}

Now it's a question of reducing the fraction as much as possible. We have \mathrm{gcd}(768,1000)=8 so

\dfrac{768}{1000}=\dfrac{96\cdot8}{125\cdot8}=\dfrac{96}{125}

5 0
3 years ago
Write a sentence that<br> represents the equation,<br> 5x + 3=28.
cupoosta [38]

Answer:

five times a number of pencils plus three pencils =twenty-eight pencils.

Step-by-step explanation:

x = 5, Have a great day!  

3 0
3 years ago
PLEASE HELP ASAP! The interior angles of a triangle have measures 100°,(4y+25)degrees and (3y+20) degrees. What is the value of
erastova [34]

100°+(4y+25)+(3y+20)=180°

100+4y+25+3y+20=180

7y+145=180

7y=35

y=5

100°; 45°; 35°

7 0
3 years ago
Evaluate a-b for a=5 and b=(-8)
Rudik [331]

Answer:

13

Step-by-step explanation:

a = 5

b = -8

5 - -8 = 13

3 0
3 years ago
Read 2 more answers
Pls help fast, appreciated
LenaWriter [7]

Answer:

x = 6.9

Step-by-step explanation:

\frac{sin(90)}{12} = \frac{sin(35)}{x} \\\\x = 6.9solve for x

7 0
3 years ago
Read 2 more answers
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