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beks73 [17]
2 years ago
15

Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support your answer ​

Mathematics
1 answer:
kotegsom [21]2 years ago
3 0

Answer

x=2 and y=2√2

Step-by-step explanation:

\sin( \alpha )  =  \frac{2 \sqrt{2} }{x }  \\ x =  \frac{2 \sqrt{2} }{ \sin(45) }  \\ x = 4 \\  {x}^{2}  =  {y}^{2}  + 2 \sqrt{2}  \\  {4}^{2}  =  {y}^{2}  + (2 \sqrt{2 \: )}^{2}  \\ 16 =  {y}^{2}  + 8 \\ 16 - 8 =  {y}^{2}  \\ y =  \sqrt{8}  \\ y = 2 \sqrt{2}

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List the coordinates of FOUR vertices that create the feasible region on the graph. Submit your answer in the form of FOUR order
hoa [83]

Answer:

The coordinates of the vertices are;

(200, 200), (300, 200), (300, 0), (0, 500)

Step-by-step explanation:

The vertices are the corners of a polygon. It is the point where an angle is formed by the intersection of two lines

The feasible region is the solution space of the points of the variables that meet the specification of the problem set by means of a constant or the definition of inequalities or equations

From the graph of the function of inequalities, we have that the four vertices are the four points where the lines bounding the area of the feasible region of the inequalities meet

The coordinates of the vertices are (200, 200), (300, 200), (300, 0), (0, 500).

4 0
3 years ago
You've purchased a lottery ticket and your numbers are 5-3-1. A lottery official randomly selects three balls from a set of eigh
Inessa05 [86]

Answer:

1 out of 336 chance

Step-by-step explanation:

Since you picked three numbers, you are going to put three blanks.

What to do in this situation is to have _ _ _. Since there are numbers 1-8, what you want to do is take the three biggest numbers and multiply them together. in this case, they would be 8-7-6. Multiply that and you get 336.

8 0
3 years ago
A fruit vendor sells 60 pieces of fruit that are either apples or oranges. There are 12 more apples than oranges.
Hunter-Best [27]

Answer:

a. let x be the number of apples and let y be the number of oranges

x + y = 60

x = y + 12

b. Apples: 24 Oranges: 36

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

6 0
3 years ago
Which expression is equivalent to -2(-7h -
disa [49]

Answer:

a. 20h + 8

Step-by-step explanation:

-2(-7h-4) + 6h = 14h + 8 + 6h = 20h + 8

3 0
3 years ago
Multiply and simplify: -3x^2y^2 times x^4
pishuonlain [190]
It's the first answer choice.
Steps:
-3x^2y^2x^4
(Apply the exponent rule)
x^4x^2 = x^2+4 = x^6

= -3x^6y^2

8 0
4 years ago
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