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olya-2409 [2.1K]
3 years ago
14

Two sides of a triangle tile measure 3 inches and 4 inches.The third side, in inches ,is a whole number

Mathematics
2 answers:
Komok [63]3 years ago
5 0
12 inches is the measure of the 3 one
Vedmedyk [2.9K]3 years ago
3 0

Answer:

Assuming the two sides are not the hypotenuse, then the third side would equal 5

Step-by-step explanation:

using the formula a^{2} + b^{2} = c^{2}

c is the hypotenuse while a and b are the sides.

3^{2} + 4^{2} = c^{2} \\

so that simplifies to 9 + 16 = c^{2}

25=c^{2} \\

in order to get just c alone, we must square both sides

\sqrt{25} =  \sqrt{c}^{2}

this cancels out on the right side and leaves you with 5 on the left

therefore c=5

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1 5/6 −(x− 7/12 )+2 1/12 =0.9
iren [92.7K]
The answer is x=3.6 or 3 3/5.

First we convert the decimal answer to a fraction; 0.9 is read as "nine tenths," so the corresponding fraction is 9/10:

1 5/6 - (x - 7/12) + 2 1/12 = 9/10

Now we find a common denominator.  The first thing that 6, 12 and 10 will all divide into is 60:

1 50/60 - (x - 35/60) + 2 5/60 = 54/60

Distributing the negative, we have:
1 50/60 - x + 35/60 + 2 5/60 = 54/60

Combining like terms, we have:
-x + 4 30/60 = 54/60

Subtracting 4 30/60 from each side, we have:
-x + 4 30/60 - 4 30/60 = 54/60 - 4 30/60
-x = -3 36/60

Divide both sides by -1:
-x/-1 = (-3 36/60)/-1
x = 3 36/60 = 3 3/5 = 3.6
5 0
3 years ago
4(x+6)≤−56 it says Solve the inequality.
vlabodo [156]

\tt \: 4(x + 6) \leqslant  - 56

Divide both sides of the inequality by 4

\sf \: x + 6 \leqslant  - 14

Move the constant to the right-hand side and change its sign

\bf \: x \leqslant  - 14 - 6

Calculate the difference

\rm \: x \leqslant  - 20

And we are done solving!!~

8 0
3 years ago
Read 2 more answers
Determine whether the representation is proportional.y= -9x
valina [46]

Answer:

Yes it is

Step-by-step explanation:

y=-9x means that for every x value, the y value decreases by 9, so it is proportional because the value of y decreases the same amount each time. For example, if x=1, y=-9. If x=5, y=-45, and so on.

4 0
3 years ago
Read 2 more answers
-2-3x=3+1x what is the answer
Fofino [41]
-2-3x=3+1x
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x=-1.25
4 0
3 years ago
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Simplify the following expression 5 3/10-7.8
True [87]

Answer:

-6.3

Step-by-step explanation:

6 0
3 years ago
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