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Vikki [24]
3 years ago
9

Find the exact value of arccos (sin (pi/6). Explain your reasoning.

Mathematics
1 answer:
Tresset [83]3 years ago
4 0
We have to find the exact value of: arc cos ( sin ( π /6 ) ).
We know that:
sin ( π/6 ) = sin 30° = 1/2
Arc cos is the inverse function of cosine.
arc cos ( 1/2 ) = 60° = π/3
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The square root of 15
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Please help math question !! need range and domain for each picture thank you so much !
Lera25 [3.4K]

Answer: The correct option for figure 1 is (a) and correct option for figure 2 is (b).

Explanation:

Domain is the set of input and range is the set of output.

If a function is defined by f(x), then all the possible values of x is called domain and all the values of f(x) is called range.

In the figure (1)  the elements of first set is input(Domain) and the elements of second set is output(Range).

The values of first set are -2,-1,0 and 2, so,

Domain = { -2, -1, 0, 2}

The values of second are -4, -2 and 2, so,

Range = { -4, -2, 2}

In figure (2) the values of x and y are given, the values of x are domain and the values of y are range.

The values of x are -4, -2, 1 and 4, so,

Domain = { -4, -2, 1, 4}

The values of y are -2, 1, 4 and 4,, Since the repetition of elements are not allowed in the set so,

Range = { -2, 1, 4}

Therefore, the option (a) is correct for figure (1) and the option (b) is correct for figure (2).

4 0
3 years ago
You have $30 dollars saved up. Every week you spend $6 at the arcade. Write an equation in slope intercept form that shows how m
Colt1911 [192]

Answer:

y = -6x + 30

Step-by-step explanation:

The inicial value you have is $30, so this will be the value of y after 0 weeks, that is, x = 0

After one week, you spend $6, so you will have y = 30 - 6 = 24 when x = 1.

With these pair of values, we can find the linear equation:

y = ax + b

for x = 0, y = 30:

30 = a*0 + b

b = 30

for x = 1, y = 24:

24 = a*1 + 30

a = 24 - 30 = -6

So, our equation is:

y = -6x + 30

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3 years ago
Jaskson kitten weghed 2 pound
Helen [10]

umm what the rest of the question

4 0
3 years ago
Please Help ASAP!! Will mark brainliest! Please Help, I know its a lot but please help!
slavikrds [6]

Answer:

1st: 0.04, 0.04, 0.25, 0.4

2nd: 0.06, 0.16, 0.6, 60

3rd: 0.07, 0.7, 0.075, 0.75, 7.5

4th: 0.02, 0.18, 0.2, 200

5th: 0.009, 0.09, 0.9, 0.95

6th, 0.1, 0.12, 1, 10

Step-by-step explanation:

6 0
2 years ago
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