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Sati [7]
2 years ago
12

Claire is digging a hole for a fence post. So far, she has dug 2/3 of the hole in 1/2 of an hour. She continues to dig at the sa

me rate. How many minutes will it take her to dig the entire hole?
Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
4 0
Shr dug 2/3 for 30 minutes. So it takes her 15 minutes for 1/3. She needs to dig 15 more minutes. Her entire working time is 45 minutes.
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Is the quotient of 3/5 ÷ 6/7 greater than or less than 3/5? Explain
Vikki [24]

The quotient of two fraction is the multiplication between the first and the inverse of the second:

\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \cdot \dfrac{d}{c}

So, in your case, you have

\dfrac{3}{5} \div \dfrac{6}{7} = \dfrac{3}{5} \cdot \dfrac{7}{6} = \dfrac{7}{10}

So, the question now is: which is larger, 7/10 or 3/5? To answer this question, transform the second fraction so that it will have denominator 10 as well:

\dfrac{3}{5} = \dfrac{3\cdot 2}{5 \cdot 2} = \dfrac{6}{10}

So, now it is clear that

\dfrac{7}{10} > \dfrac{6}{10}

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3 years ago
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Answer:

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Step-by-step explanation:

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The answer is D Does not exist; does not exist
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Answer:

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2 years ago
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Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.
Tems11 [23]

Answer:

The area of the triangle is  \sqrt{3}

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle  ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is  = \frac{1}{2}(base \times height)

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE  = \sqrt{(0-1)^2 + (0-1)^2}

DE =\sqrt{(-1) ^2 + (-1)^2

DE = \sqrt{1+1}

DE = \sqrt{2}

Base = \sqrt{2}

Height is DF

DF =tan(60^{\circ}) \times DE

DF = \sqrt{3} \times DE

DF = \sqrt{3} \times\sqrt{2}

Now, the area of the triangle is

= \frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})

=\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})

=\frac{1}{2}(2\sqrt{3} )

=\sqrt{3}

6 0
2 years ago
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