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AURORKA [14]
2 years ago
13

Which of the following is equal to 5⁄7? A. 45⁄63 B. 54⁄63 C. 35⁄63 D. 42⁄63

Mathematics
2 answers:
Iteru [2.4K]2 years ago
7 0

\bf \cfrac{45}{63}\implies \cfrac{9\cdot 5}{9\cdot 7}\implies \cfrac{9}{9}\cdot \cfrac{5}{7}\implies 1\cdot \cfrac{5}{7}\implies \cfrac{5}{7}

Kazeer [188]2 years ago
7 0

Answer: OPTION A.

Step-by-step explanation:

You have the folllowing fraction given in the problem:

\frac{5}{7}

To find an equal fraction, you must multiply the numerator and the denominator by the same number.

OPTION A. The product is obtained by multiplyin 5 by 9 and the produc 63 is obtained by multiplyin 7 by 9. Then, you obtain:

\frac{5*9}{7*9}= \frac{45}{63}

The fraction of OPTION B is not obtained by multiplying the numerator and the denominator of originl fraction by the same number.

The fraction of OPTION C is not obtained by multiplying the numerator and the denominator of originl fraction by the same number.

The fraction of OPTION D is not not obtained by multiplying the numerator and the denominator of originl fraction by the same number.

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Think of it like a triangle.

The flagpole is vertical and is at 90° to the ground. This makes a right-angle to the ground, which is flat.

Since we have two sides of the triangle already, and they are in a ratio of ?? : 16 : 20 = ?? : 4 : 5, that means that because the triangle is a right-angled triangle, the third and last side must be 3 to complete the ratio! (This is called 'Pythagoras')

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Answer:

Step-by-step explanation:

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2 years ago
Ben and Josh went to the roof of their 40-foot tall high school to throw their math books off the edge.
krok68 [10]

Answer:

  • Josh's book lands first
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Step-by-step explanation:

Using the given equation for v=60 and s=40, the height of Ben's book is ...

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We want to find t when h(t) = 0, so we're looking for the solution to ....

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__

Similarly, the height of Josh's book is ...

  0 = -16t² +48t +40

  t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794

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The time before Josh's book lands is shorter by ...

  4.3277 -3.6794 ≈ 0.6482 . . . . . seconds

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The area of the smallest triangle is  \frac{1}{2} × (12 - 10) × 9 = 9 square units.

The area of the figure( required triangle) is 54 - 9 = 45 square units.

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