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2 years ago

Please help me with this. (show work.)

Mathematics

1 answer:

BlackZzzverrR [31]2 years ago

5 0

GCF: greatest common factor of any two (or more) numbers

Top left:

GCF of 24 and 60: 12

Top right:

GCF of 12 and 18: 6

Bottom left:

GCF of 18 and 42: 6

Right left:

GCF of 30 and 72: 6

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A lock has a code of 3 numbers between 1 and 25. If no numbers in the code are allowed to repeat, how many different codes could

Sloan [31]

12167 codes can be made

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2 years ago

If the diagonal of a square is approximately 12.73, what is the length of its sides?

Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

$D^{2} = L^{2} + L^{2}$

Solving further, we have

$D^{2} = 2L^{2}$

Divide both sides by 2

$\frac{D^{2}}{2} = \frac{2L^{2}}{2}$

$\frac{D^{2}}{2} = L^2$

Take Square root of both sides

$\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}$

$\sqrt{\frac{D^{2}}{2}} = L$

Reorder

$L = \sqrt{\frac{D^{2}}{2}}$

Now, the value of L can be calculated by substituting 12.73 for D

$L = \sqrt{\frac{12.73^{2}}{2}}$

$L = \sqrt{\frac{162.0529}{2}}$

$L = \sqrt{{81.02645}$

$L = 9.001469325$

$L = 9.0015$ (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

7 0

2 years ago

Find the area of the triangle below.

d1i1m1o1n [39]

Answer:

45.5

Step-by-step explanation:

Use pyth theorem to find the whole bottom side. Then sub 16 by 13. # is the small segmented area. The small segmented tri is 10.5 area. The big tri is 56. Sub 10.5 from 56 to get 45.5.

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1 year ago

Dan bought 4 kilograms of dog food.

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Since a kilogram is 1000 grams, 4*1000=4000 kilograms, which is your answer

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2 years ago

How many cups are in 1 gallon?

Sedbober [7]

1 gallon = 16 cups.

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2 years ago

Read 2 more answers