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galben [10]
3 years ago
15

Ruby stands at 5 feet tall her shadow is 6 feet long how far is it form the top of her head to the end of the shadow

Mathematics
1 answer:
alisha [4.7K]3 years ago
7 0

Answer: 7.81 feet

Step-by-step explanation:

This scenario forms a right-angled triangle where Ruby's height of 5 feet is the height of the triangle. Her 6 feet long shadow is the length of the triangle and the distance from the top of her head to the end of the shadow is the hypotenuse.

This can therefore be solved by the Pythagorean formula:

c² = a² + b²

where ;

c = hypotenuse

a = height

b = length

c² = 5² + 6²

c² = 25 + 36

c² = 61

c = √61

c = 7.81 feet

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Lesechka [4]

Answer:

1.)  C. 2 Pages

2.) B. 76 mph

3.) C. 35 cents

4.)?

5.)?

6.)B

7.) B

Step-by-step explanation:

1. 2 1/2 = 5/2              1 1/4 = 5/4         5/4 * 4/5 = 1    so it is a unit with one

5/2  *  4/5 = 4/2   or 2              (You found unit by multiply what you did to the unit, because what you do to one side you do to the other)

2. 3 1/2 = 7/2     7/2 * 2/7     7/2 = 266    multiply for unit price, other wise you don't know what the true mph is, now multiply the 266 by 2/7 because what you do to one side you do to the other

2/7 = 266/1      multiply numerators and denominators

2 * 266 = 532

7 * 1 = 7             now put it back as a fraction

532/ 7          simplify

532/7 = 76

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3. 1.75 = 1 3/4 = 7/4           7/4 = 5       price = bagels       now multiply the 5 by 1/5 (reciprocal) so that you can figure out what the unit is

5 * 1/5 = 1

7/4 * 1/5         multiply numerators together and denominators together

7 * 1 = 7

4 * 5 = 20

7/20 = .35

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4. 5.  I am not sure

6.  Solve each of them

A. 12 6/10 =126/10      126/10 = 7         multiply both for 1/7  for unit price

7 * 1/7 = 1           126/10 * 1/7      multiply   126 * 1 = 126     10 * 7 = 70

126/70 = 1.80

B.  10.98 = 1098/100  1098/100 = 6/1        

1098/100 * 6/1         Multiply so that the unit is right

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C. 18.10 = 18 1/10 = 181/10 181/10 = 10      price = number of juice

181/10 * 1/10 = 181/100               multiply with 1/10 so that 10 is 1 (unit price)

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D.   16 38/100 = 1638/100    1638100 = 9   multiply both sides by 1/9 so unit is 1

9 * 1/9 = 1

1638/ 100 * 1/9    1638/900  =  1.82

$1.82 = 1 juice

1.80 per juice is cheapest so it is B

7.

B. 1 = $5   it is the unit so if you multiply by all the numbers on top it will equal the number in the row, none of the others do that

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