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Tanya [424]
3 years ago
7

60 points

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

Answer:

The 2nd to last one, the last one, and the 2nd one. Hope these are correct.

Step-by-step explanation:

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Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Tom [10]

Given:

The values are a=0.\overline{6},b=0.75.

To find:

The values of ab and \dfrac{a}{b}.

Solution:

We have,

a=0.\overline{6}

a=0.666...                     ...(i)

Multiply both sides by 10.

10a=6.666...                 ...(ii)

Subtracting (i) from (ii), we get

10a-a=6.666...-0.666...

9a=6

a=\dfrac{6}{9}

a=\dfrac{2}{3}

And,

b=0.75

b=\dfrac{75}{100}

b=\dfrac{3}{4}

Now, the product of a and b is:

ab=\dfrac{2}{3}\times \dfrac{3}{4}

ab=\dfrac{1}{2}

The quotient of a and b is:

\dfrac{a}{b}=\dfrac{\dfrac{2}{3}}{\dfrac{3}{4}}

\dfrac{a}{b}=\dfrac{2}{3}\times \dfrac{4}{3}

\dfrac{a}{b}=\dfrac{8}{9}

Therefore, the required values are ab=\dfrac{1}{2} and \dfrac{a}{b}=\dfrac{8}{9}.

6 0
3 years ago
Problem Solve 88 – (–35)
Rasek [7]
Subtract negative = add
88 + 35 = 123
The solution is 123
7 0
3 years ago
Read 2 more answers
I really need help with this ... I hope someone can help!
viva [34]

9514 1404 393

Answer:

  ∠B = 53°

  ∠C = 127°

  ∠D = 127°

Step-by-step explanation:

The trapezoid is isosceles, as indicated by the hash marks on sides AD and BC. This means it is symmetrical about the vertical center-line. Angles on the right will have the same measures as the symmetrical angles on the left.

So, you know immediately that ∠B = ∠A = 53°.

Because AB ║ DC, ∠A and ∠D are supplementary. That is, ...

  ∠D = ∠C = 180° -53°

  ∠D = ∠C = 127°

4 0
2 years ago
Which equation could be used to find the length of the hypotenuse?
laiz [17]
The fourth one I think hope it helps
5 0
3 years ago
What is the measure of angle B?
Natalka [10]

Answer:

55 ° is correct answer option (c)

4 0
3 years ago
Read 2 more answers
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