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3 years ago

1/3 x=5/12 show your work

Mathematics

1 answer:

AlladinOne [14]3 years ago

6 0

Answer:

$1\frac{1}{4} = x$

Step-by-step explanation:

All you have to do is multiply straight across, and you will have your answer:

$\frac{1}{3}x = \frac{5}{12}$

$\frac{5}{4} = x$

* $1\frac{1}{4} = \frac{5}{4}$

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fgiga [73]

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

Area of square 1: 81 square inches

$s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9$

Perimeter of square 2: 48 inches

$4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches$

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

$(H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15$

Hence,

The length of side of largest square is 15 inches

5 0

2 years ago

In the system -12c+3d=6 and -3c +6d=-9, which expression could you use for substitution

inessss [21]

You can not use either of them because neither of them have a variable= to the eqaution
ex.) y= 3x+25

3 0

2 years ago

Factor each completely. 2x3 - 9x2 + 9x

EleoNora [17]

Answer:

x(2x−3)(x−3)

Step-by-step explanation:

2x^3−9x^2+9x

= x(2x−3)(x−3)

4 0

3 years ago

What is the probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from a

Drupady [299]

Answer:

P=0.00564

Step-by-step explanation:

From Exercise we have 52 cards.

We calculate the number of combinations to draw 5 cards from a deck of 52 cards. We get

{52}_C_{5}=\frac{52!}{5!(52-5)!}=2598960

We now count the number of favorable combinations:

{13}_C_{1} · {48}_C_{2}= 13 · \frac{48!}{2!(48-2)!}=14664

Therefore, the probabilitiy is

14664/2598960=0.00564

P=0.00564

6 0

3 years ago

(c) what is the probability that diameter is within 2 mm of the mean diameter? (round your answer to three decimal places.)

postnew [5]

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7 0

3 years ago