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iren [92.7K]
3 years ago
15

How to find the area of a right angle triangle with one side length given?

Mathematics
1 answer:
lbvjy [14]3 years ago
5 0
Step 1 Decide which two sides we are using - one we are trying to find and one we already know – out of Opposite, Adjacent and Hypotenuse.Step 2 Use SOHCAHTOA to decide which one of Sine, Cosine or Tangent to use in this question.Step 3 For Sine write down Opposite/Hypotenuse, for Cosine write down Adjacent/Hypotenuse or for Tangent write down Opposite/Adjacent. One of the values is the unknown length.Step 4 Solve using your calculator and your skills with Algebra
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Determine the intervals on which the function is increasing, decreasing and constant
viva [34]

Answer:

  • increasing: (-∞, 0)
  • decreasing: (0, ∞)

Step-by-step explanation:

The function goes up to the right until it gets to the vertex at x=0. Then it goes down to the right. That is, it is ...

  increasing from -∞ to 0 (not including 0)

  decreasing from 0 to +∞ (not including 0)

_____

At x=0, the function is neither increasing nor decreasing, so x=0 is not part of either interval.

6 0
3 years ago
Ms. Wall will roll two number cubes. What is
bonufazy [111]
Probability of rolling a sum of 9 or a sum that is even from two number cubes is
11/18
Explanation:
When a dice is rolled there are different ways in which
9. can be obtained, which are (3,6) or (4,5) or (5,4) or (6,3). 4 options. As in all there are
6⋅6=36 options, probability is 4/36 or 1/9.

For getting an even number as sum, we can have (1,1) or (1.3) or (1,5) or (2,2) or (2,4) or (2,6) or (3,1) or (3,3) or (3,5) or (4,2) or (4,4) or (4,6) or (5,1) or (5,3) or (5,5) or (6,2) or (6,4) or (6,6) 18 options, probability is 18/36 or 1/2.

Note that the two events (getting 9 or even sum) are mutually exclusive, the probabilities can be just added i.e. combined probability is
1/9+1/2=2+9/18i.e. 11/18
8 0
2 years ago
In a rock-paper-scissors game, a winner gets 5 points and a loser gets 2 points. After a man played this game 20 times, his tota
aleksandr82 [10.1K]

Answer:

The man wins 9 times and looses 11 times in the rock - paper-scissor game.

Step-by-step explanation:

Let us assume that in the game:

Number of times  man wins the games = x times

Number of times  man loses the games = y times

Total number of attempts = 20

Points after winning = 5

Points after loosing = 2

Now, according to the question:

       x  + y =20

and 5 x + 2 y = 67

Now, from (1) y = 20-x,     put in (2)

5x + 2y = 67       ⇒           5x + 2(20 -x)  = 67

or, 5x -2x = 67 - 40

or, 3x = 27

⇒ x = 27/3 = 9

then y = 20 - x = 20 - 9 = 11

⇒ x = 9 and y = 11 is the solution of the given system.

Hence, the man wins 9 times and looses 11 times in the rock - paper-scissor game.

3 0
3 years ago
McDonald's has sold more than a billion hamburgers. If it were possible to eat a hamburger every minute of everyday (day and nig
Stolb23 [73]
500mil is the answer of course
4 0
3 years ago
Find all possible answers and check your solutions.Solve equation.
Bond [772]
A.
lxl=7     
x=7                   x=-7      (Take two cases, one as the others side negative and the other as positive)
B. 
l2xl=32
2x=32               2x=-32
x=16                 x=-16
C.
lx+7l=10
x+7=10             x+7=-10
x=3                   x=-17
D.
lxl=53.1
x=53.1              x=-53.1
4 0
3 years ago
Read 2 more answers
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