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ozzi
2 years ago
12

Write the equation for the inverse of the function. y = sin x​

Mathematics
2 answers:
MakcuM [25]2 years ago
7 0

Answer:

<em>  The answer is \sin^{-1}x = y</em>

Step-by-step explanation:

    We need to find the inverse of the function

     y = sinx

    Taking \sin^{-1} on both sides

    \sin^{-1}y =  \sin^{-1}sinx

     \sin^{-1}y = x

     Substituting x to y and y to x

<em>      \sin^{-1}x = y</em>

     This is the required inverse of the function

     The graph of the function and its inverse is symmetric about y = x

<em>     The answer is \sin^{-1}x = y</em>

NemiM [27]2 years ago
6 0

Answer:

y = Arcsin x

Step-by-step explanation:

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How much sand would you need to fill this box ?
grin007 [14]

Step-by-step explanation:

We have,

l =5ft

b=2ft

h=3ft

volume(v) = l \times b \times h

v = (l*b*h)

v = (5*2*3)ft

v = (30)ft

.•. v = 30ft

3 0
3 years ago
Compute the loss of head and pressure drop in 200 ft of horizontal 6-in diameter asphalted cast iron pipe carrying water with a
laiz [17]

Answer:

The answer is below

Step-by-step explanation:

12 inches = 1 ft.

6 inches = 6 inches * (1 ft./12 inches) = 0.5 ft.

Therefore the diameter of the cast iron (D) = 6 inches = 0.5 ft.

The area of cast iron (A) = πD²/4 = π(0.5)²/4 = 0.196 ft²

The velocity (V) = 6 ft./s, the acceleration due to gravity (g) = 32.2 ft./s²

ε/D = 0.0004 ft./ 0.5 ft. = 0.0008

Using the moody chart, find the line ε/D = 0.0008 and determine the point of intersection with the vertical line R = 2.7 * 10⁵. Hence we get f = 0.02.

The head loss (h) is:

h_f=f*\frac{L}{d}* \frac{V^2}{2g}=0.02*\frac{200\ ft}{0.5\ ft} *\frac{(6\ ft/s)^2}{2*32.2\ ft/s^2}=4.5\ ft

The pressure drop (Δp) is:

Δp = ρgh_f = (62.4\ lbf/ft^3)(4.5\ ft)= 280\ lbf/ft^2

5 0
3 years ago
there are 28 books on the shelf.one-fourth of the books are about animals. two are adventure. the rest are mystery.How many book
yanalaym [24]

Answer:

19

Step-by-step explanation:

1/4 are animal. 28/4 = 7

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19 are mystery.

4 0
3 years ago
A rectangular soccer field is 120 ft long by 64 ft wide. What dimensions would a scale drawing of the soccer field be if the fie
timofeeve [1]

Answer:

Hence dimension on drawing= 12 in by 6.4 in

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Actual dimension of the soccer field is 120 ft by 64 ft

Scale during drawing = 1in to 10 ft

Hence dimension on drawing = 120/10 by 64/10 = 12 in by 6.4 in

4 0
3 years ago
5c−4c+c equavilent like terms
meriva

Answer:

yes they are like terms

Step-by-step explanation:

they are like terms as the variables are same 5<u>c</u>-4c+

5 0
2 years ago
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