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Serga [27]
3 years ago
15

Part II: Find the sine, cosine, and tangent ratios of <y ​

Mathematics
1 answer:
Lorico [155]3 years ago
6 0

Answer:

sin θ = 22.62°

cos θ = 22.62°

tan θ = 22.62°

Step-by-step explanation:

From the diagram above

Opposite = 5

Adjacent = 12

Hypotenuse = 13

a) sin θ = Opp/Hypotenuse

sin θ = 5/13

sin θ = 0.3846153846

arc sin 0.3846153846

= 22.619864948°

Approximately = 22.62°

b) cos θ = Adjacent/ Hypotenuse

θ = 12/13

= arccos(0.9230769230769231)

22.619864948°

Approximately = 22.62°

c) tan θ = Opposite/Adjacent

θ = 5/12

= arctan(0.4166666666666667)

= 22.619864948°

= 22.62°

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Factor completely 3x3 − 3x2 − 18x.
pashok25 [27]
3x^3 -3x^2 -18x = 3x(x^2 -x -6) = 3x(x-3)(x+2) so the 3rd choice is right sure 

hope helped 
4 0
3 years ago
What is the solution of the linear system shown in the graph below?
Serga [27]
Solution would be where the two lines intersect but they never do. They are parallel and never meet

Answer: no solution
6 0
3 years ago
Help please, and explain(step-by-step) how the answer would be correct.
vekshin1

When a function is reflected, it must be reflected over a line

The new function is: y = |4 -x| -8

The equation is given as:

y = |x + 4| - 8

The rule of reflection over the y-axis is:

(x,y) \to (-x,y)

So, we have:

y = |-x + 4| -8

Rewrite as:

y = |4 -x| -8

Hence, the new function is:

y = |4 -x| -8

Read more about reflections at:

brainly.com/question/938117

8 0
3 years ago
What is the solution to this equation 4x + 2 ( x + 6 ) = 36
Margaret [11]

The answer is A. x=4.


Start off by distributing the parentheses into the equation.

4x+2(x+6)=36

4x+2x+12=26


Combine like terms.

4x+2x=6x

6x+12=36


Now solve the equation as normal. Begin by subtracting 12 from both sides to isolate the variable.

6x+12=36

-12 -12

---------------

6x = 24


Divide 6 on both sides to find x.

6x=24

---- -----

6 6

x=4


The solution to the equation is 4.

4 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST
Nutka1998 [239]

Answer:

a² + b² = 68

a3 + b3 = 520

Step-by-step explanation:

Given :

a + b = 10 (1)

ab = 16 (2)

A. Find a² + b²

(a + b)² = a² + 2ab + b² (3)

Substitutite the values of (1) and (2) into (3)

(10)² = a² + 2(16) + b²

100 = a² + 32 + b²

Subtract 32 from both sides

100 - 32 = a² + b²

a² + b² = 68

B. a^3 + b^3

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

(10)^3 = a^3 + b^3 + 3*16(10)

1000 = a^3 + b^3 + 480

a^3 + b^3 = 1000 - 480

a3 + b3 = 520

5 0
3 years ago
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