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bezimeni [28]
3 years ago
6

Value of sin^-1(sin 9pi/7)

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0
Hint:   \bf \begin{array}{llll}
sin^{-1}[sin(whatever)]= whatever\\\\
cos^{-1}[cos(whatever)]= whatever\\\\
tan^{-1}[tan(whatever)]= whatever
\end{array}\\\\
------------------\\\\
\begin{array}{llll}
sin[sin^{-1}(whatever)]= whatever\\\\
cos[cos^{-1}(whatever)]= whatever\\\\
tan[tan^{-1}(whatever)]= whatever
\end{array}
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Need help ASAP with this question please
Assoli18 [71]

Answer:

4th option, 5 5/6

Step-by-step explanation:

8 1/2 - 2 2/3

= 17/2 - 8/3

= (51-16)/6

= 35/6

= 5 5/6

Answered by GAUTHMATH

6 0
3 years ago
Find the volume of the rectangular
Kobotan [32]

Answer:

Hope this will help you

Step-by-step explanation:

volume \: of \: rectangular \: prism = l \times b \times h \\  = 0.6 ft\times 0.8 ft\times 3.8ft \\  = 1.824 {ft}^{3}

4 0
2 years ago
Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse
Drupady [299]

Answer:

a'(d) = \frac{d}{5} + \frac{3}{5}

a(a'(d)) = a'(a(d)) = d

Step-by-step explanation:

Given

a(d) = 5d - 3

Solving (a): Write as inverse function

a(d) = 5d - 3

Represent a(d) as y

y = 5d - 3

Swap positions of d and y

d = 5y - 3

Make y the subject

5y = d + 3

y = \frac{d}{5} + \frac{3}{5}

Replace y with a'(d)

a'(d) = \frac{d}{5} + \frac{3}{5}

Prove that a(d) and a'(d) are inverse functions

a'(d) = \frac{d}{5} + \frac{3}{5} and a(d) = 5d - 3

To do this, we prove that:

a(a'(d)) = a'(a(d)) = d

Solving for a(a'(d))

a(a'(d))  = a(\frac{d}{5} + \frac{3}{5})

Substitute \frac{d}{5} + \frac{3}{5} for d in  a(d) = 5d - 3

a(a'(d))  = 5(\frac{d}{5} + \frac{3}{5}) - 3

a(a'(d))  = \frac{5d}{5} + \frac{15}{5} - 3

a(a'(d))  = d + 3 - 3

a(a'(d))  = d

Solving for: a'(a(d))

a'(a(d)) = a'(5d - 3)

Substitute 5d - 3 for d in a'(d) = \frac{d}{5} + \frac{3}{5}

a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}

Add fractions

a'(a(d)) = \frac{5d - 3+3}{5}

a'(a(d)) = \frac{5d}{5}

a'(a(d)) = d

Hence:

a(a'(d)) = a'(a(d)) = d

7 0
2 years ago
Javier's parents set an amount of money aside when he was born. They earned 4.5% simple interest on that money each year. When J
solmaris [256]

Answer:

Javier's parents set aside $1500 when he was born

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question, we have that:

E = 1012.50, t = 15, I = 0.045

We have to find P. So

E = P*I*t

1012.50 = P*15*0.045

P = \frac{1012.50}{15*0.045}

P = 1500

Javier's parents set aside $1500 when he was born

6 0
3 years ago
What is the mean absolute deviation of the data set?<br> {12, 17, 12, 8,6)
ser-zykov [4K]

Answer:The mean absolute deviation of the set of data is

2.24

.

Step-by-step explanation:

8 0
2 years ago
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