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wlad13 [49]
2 years ago
8

The hypotenuse of a 90-45-45 triangle is 20√2. What is the short leg and the long leg>

Mathematics
1 answer:
stepan [7]2 years ago
6 0

Answer:

Both legs would be 20

Step-by-step explanation:
In the image below, it shows the relationship between the legs and the hypotenuse in every 45 45 90 triangle. If we know that the hypotenuse is 20, then the 2 legs are both 20.

I am slightly confused with the problem since they asked for the "short" leg and the "long" leg. Both legs should be the same length because a 45 45 90 triangle is isosceles, with the two legs being the same length.

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Use the theoretical probability formula to solve the problem. Express the probability as a fraction
serg [7]

Answer:

c. 3 / 13

d. 2 / 13

Step-by-step explanation:

c.

A deck of cards has 52 cards. There are cards of 4 suits- Spades, Hearts, Diamonds and Clubs.

So, there are 52/4= 13 cards of each suit.

Among these 13 cards, there are 3 picture cards or face cards as they are called. These are the Jack, Queen and King cards.

So, the number of total picture cards = 4*3 = 12

the number of cards are 52

theoretical probability formula: P =  favorable events/  possible events

P = 12 / 52

P = 3 / 13

d.

there are four aces and four sevens in the deck

so favorable events = 4 + 4 = 8

possible eventas = 52

P = 8 / 52

P = 2 / 13

4 0
3 years ago
State if the given functions are inverses. f(x) = 1/x + 3 g(x) = 4/x + 2
Stolb23 [73]

Answer:

  they are not inverses

Step-by-step explanation:

f(1) = 1/1 +3 = 1 +3 = 4

g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1

If the functions were inverses, we would have g(f(1)) = 1, which we do not.

The given functions  are not inverses.

_____

The same would be true if your functions were

  f(x) = 1/(x+3) and g(x) = 4/(x+2)

  f(1) = 1/(1+3) = 1/4

  g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1

6 0
3 years ago
PLEASEEEE HELP ILL GIVE BRAINLIEST
Vsevolod [243]

Answer:

x = 3

Step-by-step explanation:

Taking this from the graph:

2x + 5 = 11

2x = 6

x = 3

6 0
3 years ago
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Meredith borrows $12,560 and pays 2 percent simple interest each year for 4 years. What is the total amount of interest that she
abruzzese [7]

Meredith borrow 12,560 so if you do some basic calculations, %2 of that is 251.20 dollars of interest per year

The total amount of interest she will pay for 4 years (251.20 x 4) is 1004.80 dollars for 4 years.

<em>your welcome :)</em>

6 0
3 years ago
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Carla discover that she could create the perfect shaped heart by combining two semi circles and a square what is the area of the
maksim [4K]
What’s the area of the semi circles and square?
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