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lyudmila [28]
3 years ago
12

The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessa

ry.
leg: 32 m; hypotenuse: 38 m

26.8 m

20.5 m

49.7 m

26.6 m
Mathematics
2 answers:
Yuki888 [10]3 years ago
8 0
Use the Pythagorean theorem.

32^{2}  +  x^{2}  = 38^{2}  \\ 1024 +  x^{2} = 1444 \\  x^{2} = 420 \\  \sqrt{ x^{2} } 
=  \sqrt{420}  \\ x = 20.493...

The answer would be B.
coldgirl [10]3 years ago
6 0
32^2 + x^2 = 38^2
1024 + x^2 = 1444
-1024 -1024
x^2= 420
x=20.493901532
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It takes arman 48 minutes to mow 4 lawns. Assuming the lawns are the same size and Arman works at the same speed, about how long
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Arman need 48 minutes to mow 4 lawns with the lawns are the same size. so every 1 lawns he need time 48/4=12 minute. If he to mow 7 lawns he will take 12x7=84 minutes.
5 0
4 years ago
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1/2x - 6 = -6 + 1/2x - No Solution One Solution Infinite Solutions​
Bond [772]

Answer:

Infinite Solutions​

Step-by-step explanation:

Since −6 = −6, the equation will always be true for any value of x.

<em>good luck, i hope this helps :)</em>

4 0
3 years ago
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Variables A and B have a covariance of 45, and variables C and D have a covariance of 627. How does the A and B relationship com
alexdok [17]

Answer:

variable A and Variable B are more negatively related than variable C and variable D.

Step-by-step explanation:

Variables A and B have a covariance = 45

Variables C and D have a covariance = 627

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5 0
4 years ago
Sam is baking cakes at her parents' bakery. She gets paid $20 a week in addition to $3 for every cake she bakes. She made $80 th
lozanna [386]

Answer:

3x + 20 = 80

Step-by-step explanation:

If Sam gets paid $20 a week whether she makes any cakes or not, that is a fixed amount.  The amount that she makes will only go up IF she makes cakes.  She makes $3 per cake she bakes, and if the number of cakes is our unknown, the expression for that is 3x.  Adding that to the fixed amount she makes is 3x + 20.  Now we set that equal to 80, which is what she made in a week and solve it for x, which gives us the number of cakes she had to bake to make that $80.

3x + 20 = 80

3 0
3 years ago
If 3x^2 -2x+7=0, then(x-1/3)^2=
Harman [31]
3x² - 2x + 7 = 0.

Using method of completing the square.

3x² - 2x = 0 - 7

3x² - 2x = -7          Divide through by 3.

x² - 2/3x = -7/3   ...........(d)

Coefficient of x = -2/3,  half of it = 1/2*-2/3 = -1/3    square of it = (-1/3)² = 1/9

We add (1/9) to both sides of equation (d)

<span>x² - 2/3x = -7/3 
</span>
<span>x² - 2/3x + 1/9 = -7/3 + 1/9

We factorize it by making using of half of the coefficient,  -1/3
</span>
(x - 1/3)² = -7/3 + 1/9

<span>(x - 1/3)² = -20/9
</span>
That's the answer as asked by the question.   -20/9
5 0
3 years ago
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