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4vir4ik [10]
2 years ago
6

Suppose cos(a)=4/5. use the trig identity sin^2(a)+cos^2(a)=1 to find sin(a) in quadrant IV.

Mathematics
1 answer:
natima [27]2 years ago
7 0

Answer:

sin a = -3/5

Step-by-step explanation:

sin^2(a)+cos^2(a)=1

sin^2(a)+ (4/5)^2 = 1

sin^2(a) = 1 - 16/25 = 9/25

sin a = 3/5 ( in Quadrant 1)

In quadrat IV the sine is negative

so sin a = -3/5

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Which of the following statements are true?
dmitriy555 [2]
I would say C but number 2 isn’t making sense but 1 and 3 are true
7 0
4 years ago
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Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two g
Firlakuza [10]

Answers:

Ava’s graph is a vertical translation of f(x) = x^2.

Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.

Ava’s graph has a y-intercept of 4.

Given:

Ava graphs the function h(x) = x^2 + 4.

Victor graphs the function g(x) = (x + 4)^2

To find y intercept we plug in 0 for x

h(x) = x^2 + 4

h(x) = 0 + 4= 4

So ,Ava’s graph has a y-intercept of 4.

Ava graphs the function h(x) = x^2 + 4

If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.

Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.

Victor graphs the function g(x) = (x + 4)^2

If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.


7 0
4 years ago
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Solve for x and show work 10x + 80 < y = 20x​
julsineya [31]

Answer:

x=8

Step-by-step explanation:

10x + 80 < y = 20x

subtract 80 from both sides

10x = 20x - 80

subtract 20 from both sides

-10x = -80

divide both sides by -10

8

6 0
3 years ago
Help please!!!! I will really appreciate it please help
Scorpion4ik [409]

Answer:

Correct answer is x = 28°

Step-by-step explanation:

Okay we know Angle A is 2x + 2

Angle B is 90

Angle C is 180 - 148 = 32 ( straight line angle is 180)

Sum of all angles should be 180 in a triangle

which means

A + B + C = 180

2x + 2 + 32 +90 = 180

2x + 124 = 180

2x = 180-124

2x = 56

x = 56/2

x = 28

4 0
3 years ago
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F(x) = 9-3x<br> g(x) = 5x-7<br> Find f(x)+g(x).
Bezzdna [24]

Answer:

In the problem, the sum of the two functions is 2x + 2

Step-by-step explanation:

For this problem, we have to add together f(x) and g(x).

<em>f(x) = 9 - 3x</em>

<em>g(x) = 5x - 7</em>

(f + g)(x) = (9 - 3x) + (5x - 7)

Combine like terms.

(f + g)(x) = 2x + 2

So, when you combine the two functions together, you will get 2x + 2.

8 0
4 years ago
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