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2 years ago

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

Mathematics

2 answers:

MakcuM [25]2 years ago

7 0

Answer:

The answer is $\sin^{-1}$ x = y

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

$\sin^{-1}$ x = y

This is the required inverse of the function

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

The answer is $\sin^{-1}$ x = y

NemiM [27]2 years ago

6 0

Answer:

y = Arcsin x

Step-by-step explanation:

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Answer: 88

Explanation:

55x1.6=88

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2 years ago

Write the interval (5, 100] as an inequality and using set notation

goldenfox [79]

5<x≤100

x∈(5;100] x has to be greater but not equal to 5 and less and equal to 100

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3 years ago

A company makes two different-sized ice cream cones. The smaller cones are 3.5 inches tall and have a diameter of 3 inches. The

barxatty [35]

Answer:

The Volume of large cone is 19.545 $inches^3$ greater than the smaller cone

Step-by-step explanation:

Given:

Size of the small cone = 3.5 inches

Diameter of the small cone = 3 inches

Size of the large cone = 3.5 inches

Diameter of the small cone = 3 inches

To Find:

How much greater, to the nearest tenth of a cubic inch, is the volume of the larger cone than the volume of the smaller cone = ?

Solution:

Volume of the small cone :

Radius = $\frac{diameter}{2}$

Radius = $\frac{3}{2}$

Radius = 1.5 inches

volume of the cone = $\pi rl$

substituting the values,

=> $\pi (1.5)(3.5)$

=> $\pi(5.25)$

=> 16.485 $inches^3$

Volume of the large cone :

Volume of the large cone :

Radius = $\frac{diameter}{2}$

Radius = $\frac{4.5}{2}$

Radius = 2.25 inches

volume of the cone = $\pi rl$

substituting the values,

=> $\pi (2.25)(5.1)$

=> $\pi(11.475)$

=>36.06 $inches^3$

Now ,

volume of small cone - volume of large cone

=>36.06 - 16.485

=>19.545 $inches^3$

4 0

3 years ago

Read 2 more answers

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jolli1 [7]

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3 years ago

Help me with 22 and 23

cricket20 [7]

22.

pythagorean theorem says legs a and b and hypotenuse c of a right triangle are related via the equation c²=a²+b². in other words, adding the sum of the squares of the legs get you the square of the hypotenuse

if the hypotenuse is 4 meters long, c = 4.

if one leg is 3 meters long, we can choose either a or b to be 3. it does not really matter. let us choose a = 3. now we have to find b.

if we have c²=a²+b², we can solve for b.

subtract a² both sides to get c²-a²=b², and then square root both sides to get

b = √(c²-a²)

plugging in our info we get

b = √(4²-3²) = √(16 -9) = √7

so the answer is √7 meters for 22

two triangles are similar, then the proportion of their sides are the same. the propotion between the smaller triangles' hypotenuse and 2cm leg is 5cm/3cm.

notice how the bigger triangle just have a doubled hypotenuse. therefore, the bigger triangle's x and y are just the corresponding smaller triangle values doubled.

x = 6 and y = 8

3 0

3 years ago

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

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