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Sonbull [250]
3 years ago
15

15.

Mathematics
1 answer:
frutty [35]3 years ago
5 0

Answer:

13

Step-by-step explanation:

Let PS = x and RP = x-5

Using Pythagorean theorem on the two smaller rt triangles formed,

6^2 + x^2 = (ST)^2

6^2 + (x-5)^2 = (RT)^2

Now use Pythag on big triangle and sub in above values:

(2x-5)^2 = 6^2 + x^2 + 6^2 + (x-5)^2

Multiply out and simplify to

x^2 - 5x -36 = 0

Factor the quadratic: ((x-9)(x+4)=0  Therefore x=9 or x=-4.  We may disregard the negative answer so x = 9.  So PS is 9 and RP is 4.

Therefore entire hypotenuse is 4 + 9 or 13.

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Cell phone company A charges $20 per month plus $0.05 per text message. Cell phone company B charges $10 per month plus $0.07 pe
romanna [79]
So for this you need to set the two equations equal to each other. 20+.05x=10+.07x then solve. Subtract .05 from both sides and get 20=10+.02x. Then subtract 10 from the other side and get 10=.02x Isolate x by dividing 10 by .02. This leaves you with the answer of 500 texts. 
6 0
3 years ago
Vidriana rolled a number cube 96 times. Her results are shown in the table, what is the experimental probability of rolling an e
hichkok12 [17]

Answer:

50/96

Step-by-step explanation:

I assume the table is:

\left[\begin{array}{cc}Result&Total\\1&15\\2&13\\3&16\\4&17\\5&15\\6&20\end{array}\right]

Even numbers are 2, 4, and 6.  The total number of times she rolled an even number is 13 + 17 + 20 = 50.

So the probability is 50/96.

7 0
3 years ago
Sqr of 10(-3sqr 2-2sqr 5)
stiv31 [10]
\sqrt{10(-3sqr^{2} - 2sqr^{5}} \\\sqrt{10(-3sqr^{2}) - 10(2sqr^{5})} \\\sqrt{-30sqr^{2} - 20sqr^{5}} \\\sqrt{(r^{2} * (-1) * 30sq) - (4r^{4} * 5sqr)} \\r^{2}i - 2r^{2}\sqrt{30sq - 5sqr
8 0
3 years ago
Two people took turns tossing a fair die until one of them tossed a 6. PersonA tossed first, B second, A third, and so on. Given
Gennadij [26K]

Answer: 0.0965

Step-by-step explanation:

This would happen if:

First toss: Here we must have any number that is not 6.

the options are 1, 2, 3, 4, 5 so the probablity is p1 = 5/6

The same happens for the second toss, p2 = 5/6

and for the third one: p3 = 5/6

for the fourth toss, person B must roll a 6, so the probability here is p4 = 1/6

Now, the joint probability is equal to the product of the probabilities for each toss, this is:

P = p1*p2*p3*p4 = (5/6)^3*(1/6) = 0.0965

4 0
4 years ago
-10 = y/11 - 13<br><br> solve for y
Flauer [41]

Answer:

10=y/11-13

We move all terms to the left:

-10-(y/11-13)=0

-y/11+13-10=0

We multiply all the terms by the denominator

-y+13*11-10*11=0

We add all the numbers together, and all the variables

-1y+33=0

We move all terms containing y to the left, all other terms to the right

-y=-33

y=-33/-1

y=+33

6 0
3 years ago
Read 2 more answers
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