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Maru [420]
3 years ago
7

The answer and how you got the answer

Mathematics
1 answer:
olasank [31]3 years ago
8 0

Answer:

\frac{34}{15}

Step-by-step explanation:

we are asked to evaluate

4\tfrac{1}{4}÷1\tfrac{7}{8}

Above we are given mixed fraction which can be converted in proper fraction using formula given below

a\tfrac{b}{c}=\frac{a \times c +b}{c}

Hence

4\tfrac{1}{4}=\frac{4 \times 4 +1}{4}

4\tfrac{1}{4}=\frac{17}{4}

Also

1\tfrac{7}{8}=\frac{1 \times 8 +7}{8}

1\tfrac{7}{8}=\frac{15}{8}

Hence

4\tfrac{1}{4} ÷ 1\tfrac{7}{8}

can be written as

\frac{17}{4} ÷ \frac{15}{8}

Also we know the rule for dividing fraction is as given below

\frac{a}{b} ÷ \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

Hence

\frac{17}{4} ÷ \frac{15}{8} = \frac{17}{4} \times \frac{8}{15}

=\frac{17 \times 2}{15}

=\frac{34}{15}

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Nimfa-mama [501]

<u>7.1 cm  long is the arc</u><u> intersected by a central angle .</u>

What is length of an arc?

  • The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
  • Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.

Given,

Central angle = π / 2

radius = 4.5 cm

we apply formula of length of arc.

length of the arc = angle ×  radius

                              = (π/2) × (4.5 cm)

Now put value of π = 3.14

length of the arc = (3.14 / 2) × (4.5) cm

                            = 7.065 cm ≈ 7.1 cm

Therefore, 7.1 cm  long is the arc intersected by a central angle .

Learn more about<u> </u> length of an arc

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7 0
1 year ago
A. 28.8<br> B. 22.5<br> C. 27.2<br> D. 26.8
Rashid [163]
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x = (43 * sin 42)/(sin 87)

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3 years ago
Which number is equivalent to 3 exponent 4 over 3 exponent 2
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Answer:

9 or B

Step-by-step explanation:

3^4=81

3^2=9

81/9=9

3 0
3 years ago
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Answer: $6000

Step-by-step explanation:

Multiply the cost of the book by the decimal equivalent of 12% (25 x .12).  this equal 3 dollars per book.  2,000 copies of the book were sold, so you would multiply 2000 by 3.  2000 x 3 = 6000

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