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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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There are 10 playing cards in a bag. 7 of those cards are spades.
Hoochie [10]

Answer:

P(spades) = 7/10

Step-by-step explanation:

there are 10 different cards that can be picked, out of which what we want to pick is spades which are 7. and so there are 7 chances that we will get to pick spades out of all the 10 possibilities. hope it is easy to understand

8 0
3 years ago
A school has 1500 students. Given that 3% of them were late for school on a particular day, find the no of students who were pun
Setler [38]

Answer:

1455

Step-by-step explanation:

0.03% x 1500 = 45

therefore, 45 students were late

1500 - 45 = 1455 punctual

3 0
2 years ago
Factor<br> 16x2 + 34x – 15
Westkost [7]

Answer:

17 ( 2 x + 1 )

Step-by-step explanation:

Factor the polynomial.

3 0
2 years ago
Read 2 more answers
Insert 2 sets of parentheses to make each sentence true: 2 x 14 - 9 - 17 - 14 = 7
Mandarinka [93]
It’s most definitely C
6 0
2 years ago
Is there a dilation that maps shape I onto shape II? If so, what is the scale factor, and is it an enlargement or a reduction?
katrin2010 [14]

Answer:

Enlargement.

Scale Factor: 3

Step-by-step explanation:

Use points to find the enlargement. Typically, you will use all the points.

A(1 , 1) ⇒ A'(3 , 3)

B(2 , 1) ⇒ B'(6 , 3)

C(1 , 2) ⇒ C'(3 , 6)

D(2 , 2) ⇒ D'(6 , 6)

To find the scale factor, simply divide the Point' with the original Point. Use any number.

A'(3 , 3)/(A(1 , 1)) = 3

B'(6 , 3)/(B(2 , 1)) = 3

C'(3 , 6)/(C(1 , 2)) = 3

D'(6 , 6)/(D(2 , 2)) = 3

Your scale factor is 3.

~

6 0
3 years ago
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