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3 years ago

Simplify: f(x,y)= arcsin(sin(x+y))

1 answer:

3 0

Just use the definition of arcsin that is given by:

$\left \{ {{sen \alpha =x} \atop {arcsinx= \alpha }} \right. \\ \\ arcsin(sen \alpha )= \alpha$

Therefore:

$f(x,y)=arcsin(sen(x+y)) \\ \boxed {f(x,y)=x+y}$

If you notice any mistake in my english, please let me know, because i am not native.

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Simplify the expression.<br> 2(5+9)-6

bagirrra123 [75]

Answer:

43/45

Step-by-step explanation:

4 0

3 years ago

The following figure is made of six semicircles with the same diameter, and of four congruent equilateral triangles represented

Oxana [17]

6 semicircles = 3 circles

The formula of the area of a equilateral triangle:

$A_\triangle=\dfrac{a^2\sqrt3}{4}$

We have a = |AE| = 3cm. Substitute:

$A_\triangle=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}\ cm^2$

The formula of the area of a circle:

$A_O=\pi r^2$

We have 2r = |AE| =3cm → r = 1.5cm. Substitute:

$A_O=\pi\cdot1.5^2=2.25\pi\ cm^2$

The area of the figure:

$A=4A_\triangle+3A_O\\\\A=4\cdot\dfrac{9\sqrt3}{4}+3\cdot2.25\pi=9\sqrt3+6.75\pi=6\dfrac{3}{4}\pi+9\sqrt3\\\\=\dfrac{27}{4}\pi+\dfrac{36\sqrt3}{4}=\dfrac{9}{4}\cdot3\pi+\dfrac{9}{4}\cdot4\sqrt3=\dfrac{9}{4}(3\pi+4\sqrt3)\ cm^2$

7 0

3 years ago

How do you convert 3/11 to a decimal equivalent using long division

Sidana [21]

In order to Convert 3/11 into a decimal you have to divide 3/11 out. If you were to put the three on top and the 11 on the bottom (here's a little tip to make it easier " top dog stays out and snoopy stays in. Top dog would be 3 because it is on the top of the fraction. Snoopy would be the 11 which is on the bottom of the fraction.) so with that being said..... So if you do 3 divided by 11 The answer would be 0.27272727.....hope it helped...:)

8 0

3 years ago

Find the range of the product. <br> 34 x 47

stepladder [879]

34 x 47 = 1598 so that’s the range

7 0

4 years ago

Chitchat wireless charges $0. 30 per minute plus a monthly base fee. In september, maggie used 120 minutes and her bill was $51.

julsineya [31]

The equation is 51 = x + 120 × 0.30 that can find the monthly base fee charged by Chitchat wireless.

The equation representing the scenario will be formed through following components.

Total bill = monthly base fee + number of minutes × cost per minute

In the above mentioned equation, let us assume the monthly base fee to be x. Now, keep the values in formula to find the value of x.

51 = x + 120 × 0.30

Performing multiplication on Right Hand Side of the equation

51 = x + 36

Rewriting the equation according to x

x = 51 - 36

Performing subtraction on Right Hand Side of the equation

x = 15

Thus, the monthly base fee is $15.

Learn more about equation -

brainly.com/question/21405634

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6 0

1 year ago