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Rufina [12.5K]
3 years ago
10

I'll give more points here is what I need.

Mathematics
1 answer:
Serga [27]3 years ago
5 0

Answer:

The answer to your question is x = 3; y = 3

Step-by-step explanation:

Data

angle = 45°

Opposite side = x

Adjacent side = y

hypotenuse = 3√2

To solve this problem, use trigonometric functions.

1) To find x, use the trigonometric function sine.

              sin Ф = Opposite side / hypotenuse

-Solve for Opposite side (x)

              Opposite side = hypotenuse x sin Ф

-Substitution

              Opposite side = 3√2 sin 45

-Simplification

               Opposite side = 3√2 (1 / √2)

               Opposite side = 3(1)

-Result  

               x = 3

2) To find y use the trigonometric function cosine

               cos Ф = Adjacent side / hypotenuse

-Solve for Adjacent side

                Adjacent side = hypotenuse x cos Ф

-Substitution

                Adjacent side = 3√2 x cos 45

-Simplification

                Adjacent side = 3√2 x (1/√2)

                Adjacent side = 3(1)

-Result

                y = 3

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F(x) = a(x - h)power of 3 + k   please describe what a, h and k do within our function. 
Zarrin [17]

F(x) = a(x - h)³ + k

The parent graph is F(x) = x³

k - shifts the parent graph up k-units (or down if it is negative).  This is also called a vertical shift.

h - shifts the parent graph to the right h-units (or left if it is negative).  This is also called a horizontal shift.

a - stretches the parent graph vertically by a factor of "a"

Additonally, the coordinate (h, k) is the center/vertex of the graph.


6 0
3 years ago
What is the solution of 3+(x-2/x-3)<=4
Minchanka [31]

Answer: x < 3

Step-by-step explanation:

Solve the rational inequality by combining expressions and isolating the variable x.

7 0
3 years ago
The perimeter of a rectangle is 200 yards. what are the dimensions of the rectangle if the length is 80 yards more than the? wid
liq [111]
P = 2(L + W)
P = 200
L = W + 80

200 = 2(W + 80 + W)
200 = 2(2W + 80)
200 = 4W + 160
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4 0
3 years ago
Please help me with these two i have to send it after class!!!!!
scoundrel [369]

the first one is the answer to #1

and the second one is the answer to #2

5 0
3 years ago
Which point is in the solution set of the given system of inequalities 3x+y&gt;-3,x+2y&lt;4
Dima020 [189]
Step 1. Solve both inequalities for y:
3x+y\ \textgreater \ -3
y\ \textgreater \ -3x-3

x+2y\ \textless \ 4
2y\ \textless \ -x+4
y\ \textless \ - \frac{1}{2} x+2

Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines -3x-3 and - \frac{1}{2} x+2:

y=-3x-3 (1)
y=- \frac{1}{2} x+2 (2)

Replace (1) in (2):
-3x-3=- \frac{1}{2} x+2
Solve for x:
\frac{5}{2} x=-5
x=-2 (3)

Replace (3) in (1):
y=-3x-3
y=-3(-2)-3
y=6-3
y=3

We can conclude that the point (-2,3) is in the solution of the system if <span>inequalities</span>; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.

4 0
3 years ago
Read 2 more answers
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