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NeX [460]
3 years ago
6

What is the length of the hypotenuse of right DEF shown

Mathematics
2 answers:
vitfil [10]3 years ago
7 0
<h2>Answer:</h2>

<u>The length of x is</u><u> 50.44</u>

<h2>Step-by-step explanation:</h2>

According to Pythagorean theorem

<h3>Hyp² = Base² + Perp²</h3>

Putting the values

Hyp² = 39² + 32²

Hyp² = 1521 + 1024

Hyp² = 2545

Taking square root on both sides we get

Hyp = 50.44

Ivahew [28]3 years ago
3 0

Answer:

50.45

Step-by-step explanation:

Pythagoras theorem

32^2 + 39^2 =x^2

1024+ 1521 =x^2

2545=x^2

\sqrt{2545} =x

x= 50.45

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klio [65]
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3 years ago
A rectangular soccer field is twice as long as it is wide. If the perimeter of a soccer field is 300 yards, what are the fields'
Masteriza [31]
<span>A rectangular soccer field is twice as long as it is wide. If the perimeter of the soccer field is 300 yards , what are its dimensions?
I know the basic formula is 2W+2L=300 but i am not sure where to go from there...
-----
Equations:
2W + 2L = 300
L = 2W
----
Substitute for "L" and solve for "W": 
</span><span>2W + 2(2W) = 300
6W = 300
W = 50 yds (width)
----
Solve for "L":
L = 2W
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========================
Cheers.
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3 years ago
A circle is centered at the point (5, -4) and passes through the point (-3, 2).
zepelin [54]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

As we know the given points

Center = (5, -4)

and

Point on circle = (-3,2)

The distance between point on circle and center will give us the radius of circle

So,

The formula for distance is:

\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10

The standard form of equation of circle is:

(x-h)^{2}+(y-k)^{2}=r^{2}

where h and k are the coordinates of the center. So putting in the value:

(x-5)^{2}+(y-(-4))^{2}=(10)^{2}\\(x-5)^{2}+(y+4)^{2}=100

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3 years ago
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Aleks04 [339]
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3 years ago
Would the sum of -13 and 20 be positive or negative? Explain your reasoning. Use complete sentences.
Debora [2.8K]

Answer:

Positive

Step-by-step explanation:

-13 plus positive 20 equals positive 7

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