To divide 7/9 by 2 13/18, convert the mixed number to an improper fraction, then multiply the fractions and simplify. The result is 42/141.
To divide 7/9 by 2 13/18, we need to convert the mixed number 2 13/18 into an improper fraction. To do this, we multiply the whole number (2) by the denominator of the fraction (18) and add the numerator (13). This gives us 47. So, 2 13/18 can be written as the improper fraction 47/18.
Now, we can divide 7/9 by 47/18. We multiply the first fraction by the reciprocal of the second fraction (flip the numerator and denominator). So, (7/9) ÷ (47/18) becomes (7/9) × (18/47).
To multiply fractions, we multiply the numerators together and the denominators together. This gives us (7/9) × (18/47) = (7 × 18) / (9 × 47) = 126/423.
Lastly, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor. The GCD of 126 and 423 is 3. Dividing both numerator and denominator by 3 gives us the simplified answer: 42/141.
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The Donaldson swimming pool has a volume of 15 meters * 8 meters * 3 meters, which equals 360 cubic meters. Therefore, it can hold 360 cubic meters of water.
To find out how many cubic meters of water Donaldson's swimming pool will hold, we have to calculate the volume of the pool. The volume of a rectangular prism (which is a good model for this swimming pool) is found by multiplying the length by the width by the height. In this case, the length is 15 meters, the width is 8 meters, and the depth (which is effectively the height for this calculation) is 3 meters.
So, the calculation is: 15 meters * 8 meters * 3 meters = 360 cubic meters.
Therefore, Donaldson's swimming pool will hold 360 cubic meters of water when filled.
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It would have to be the first option.
The second option is not correct because you are not adding more than what her goal is.
The third option is not correct because you are not dividing from her goal.
The fourth option is not correct because it would ultimately result in a negative number.
The first option is correct because it subtracts how many days she has ran times 5 from her goal. The resulting answer would show how many miles she has left to reach her goal of 100 miles during that month.
Hope this helps!
Answer:
Step-by-step explanation:
The area of the shaded portion, we have to calculate.
Now, join C and O to form two right triangles Δ AOC and Δ BOC.
Now, from Δ AOC,
⇒ x = 6√3
So, area of Δ AOC =
Due to symmetry area of Δ BOC will also be 18√3.
Now, area of quadrilateral OACB is 2 × 18√3 = 36√3
Now, area covered by the arc AB about center O will be
Therefore, the area of the shaded portion is (Answer)
Answer:
36\sqrt{3} -12\pi
By applying the knowledge of division of fractions, 12/25 divided by 4 is:
Given:
12/25 4
The first step is to change the division sign to multiplication, then turn 4/1 upside down.
Therefore, by applying the knowledge of division of fractions, 12/25 divided by 4 is:
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