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Naddik [55]
3 years ago
13

Please help 20 points

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

ANSWER IS 8.

HOPE IT HELPS.

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Show work
nika2105 [10]
Let's call the distance from the beach to the playground x.
Let's call the distance from the stand to the parking lot z.
Let's call the base of the biggest triangle in the picture (from the parking lot to the left) y.

Recall the pythagorean theorem: the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

There are three right triangles we can work with.

Triangle with sides 48, x and z. Here z is the hypotenuse so we get the equation x^{2} + 48^{2} = z^{2}

Triangle with sides 27, x and y. Here y is the hypotenuse so we get 27^{2} + x^{2} = y^{2}

Triangle with sides z, y and (48+27). Here (48+27) is the hypotenuse so we get y^{2} + z^{2} = (27+48)^{2}. That is, y^{2} + z^{2} = 5625

We have 3 equations and 3 unknowns (x, y and z). So let's take the last equation: y^{2} + z^{2} = 5625 and replace z^{2} and y^{2} using expressions that contain an expression in terms of x from the first two equations we came up with.

That gives us: 48^{2} + x^{2} + x^{2} + 27^{2} =5625 which we solve for x as follows:

2 x^{2} + 3033 =5625
2x^{2}  =2592
 x^{2} =1296
x=36

Now that we know x we can substitute 36 for x into the equation 48^{2} + x^{2} = z^{2} and solve for z as follows:
48^{2} + 36^{2} = z^{2} 
2304+1296=z^{2} 
3600=z^{2} 
z=60

This means that the distance from the beach to the parking lot is 36 m and the distance from the stand to the parking lot is 60 m.
4 0
3 years ago
Read 2 more answers
Y=x-3 and y=-3x+25 in substitution form
Vlad1618 [11]
(x-3)=-3x+25

Because we know that y=x-3 so we put that in place of y in the equation
8 0
3 years ago
What is the probability of tossing two coins in Irvington bus land on heads?
d1i1m1o1n [39]
  • Sample space = {TT, HH, TH, HT} where T is tail and H is head.
  • Number of outcomes = 4
  • The probability of getting two heads on tossing two coins
  • =  (\frac{1}{4}  \times 100)\% \\  = 25\%

<u>Answer</u><u>:</u>

<u>D)</u><u> </u><u>2</u><u>5</u><u>%</u>

Hope you could understand.

If you have any query, feel free to ask.

6 0
2 years ago
Circle the letter of the
laiz [17]

Step-by-step explanation:

the length of the third side could be 6

As in order to form a triangle The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

so Here

8 + 3 > 6

11 > 6 ( True) ✔

8+ 6 > 3

14 > 3 ( True) ✔

6 + 3 > 8

9 > 8 ( True) ✔

Hope it will help you :)

5 0
3 years ago
Show that 6^3-1 is divisible by 5 using our identities
Doss [256]

Answer:

Step-by-step explanation:

a³-b³=(a-b)(a²+ab+b²)

6³-1=6³-1³=(6-1)(6²+6*1+1²)=5×43

so 6³-1 is divisible by 5.

8 0
3 years ago
Read 2 more answers
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