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Nikolay [14]
2 years ago
9

Find the length of the hypotenuse. 45 degree triangle 3 square root of 2

Mathematics
1 answer:
stira [4]2 years ago
8 0

Answer:

Hypotenuse = 6

Step-by-step explanation:

Find attached diagram used in solving the question.

The triangle is a 45°-45°-90° triangle meaning it's two legs are equal. The opposite = adjacent

Since we are told to find hypotenuse, it means the length given = opposite = adjacent = 3√2

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse ² = (3√2)² + (3√2)²

Hypotenuse ² = 9(2)+9(2) = 18+18

Hypotenuse ² = 36

Hypotenuse = √36

Hypotenuse = 6

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A standard deck of cards contains 52 cards. One card is selected from the deck.
Anastaziya [24]

Answer:

1) Probability of randomly selecting a diamond or club = \frac{1}{2}

2)Probability of randomly selecting a diamond or club or heart = \frac{3}{4}

3) P(selecting a five or club) = \frac{4}{13}

Step-by-step explanation:

Total cards in the deck = 52

Noe Let E : favorable Event

So, P(E) =  \frac{\textrm{Number of Favorable outcomes}}{\textrm{Total outcomes}}

1 ) Probability of randomly selecting a diamond or club

Here the favorable event is picking a club or diamond

hence, favorable outcomes  = Number of club and diamond

= 13 + 13 = 26

⇒P(selecting a diamond or club) = \frac{26}{52}  = \frac{1}{2}

2) Probability of randomly selecting a diamond or club or heart

Here the favorable event is picking a diamond and club and heart.

hence, favorable outcomes = Number of   clubs + diamond + heart

= 13 + 13 + 13 = 39

⇒P(selecting a diamond or club or heart) = \frac{39}{52}  = \frac{3}{4}

3 )Probability of randomly selecting a five or club.

Here the favorable event is selecting a five or club.

hence, favorable outcomes = Number of 5 in a deck  + Number of clubs

=  3 +  13  = 16

⇒P(selecting a five or club) = \frac{16}{52}  = \frac{4}{13}

3 0
3 years ago
In each case, use the digits 1 to 9 at most one time each.
krok68 [10]

Answer:

Hello,

x^{11}  = x^{3}  x^{8}  = x^{2}  x^{4}  x^{5}

8 0
3 years ago
Pls help <br><br> Thank you ❤️
nikdorinn [45]

Answer:

the difference is 78

the avg drop is 3 degrees per kilometer

Step-by-step explanation:

Hope this helps

4 0
3 years ago
Find the volume of this rectangular pyramid.
LekaFEV [45]

Answer:

25 ft

Step-by-step explanation:

You need to add 9+7+9.

There are two 9s and just one 7. 9+9 is 18 and 18+7 is 25

5 0
2 years ago
Please help!!!!!!!!!!!!!!!!!!
Semmy [17]
5719 hope that helps
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2 years ago
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