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Inessa05 [86]
3 years ago
6

Prove sin^3z*cos^2z=sin^3z-sin^5z

Mathematics
1 answer:
worty [1.4K]3 years ago
3 0
Left hand side
sin^3z × ( 1 - sin^2z ) = RHS
let sin z = y
y^3 × ( 1 - y^2 ) = RHS
y^3 - y^6 = RHS
sin^3z - sin^6z = RHS

the answer at RHS should be to the power of 6 . u better check it next time
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HELP<br> Solve the following systems using the elimination method.<br> 5x+2y = -16<br> 4x-2y = 16
velikii [3]

Answer:

x= 0 , y= -8

Step-by-step explanation:

Add the 2 equations together, you would get:

9x = 0

Divide both sides by 9:

x = 0/9

x=0

Substitute the value of x in one of the equations to get the value of y, I picked the first one (5x+2y = -16)

5(0) +2y = -16

0+2y = -16

2y = -16

Divide both sides by 2:

y = -8

3 0
2 years ago
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Số táo của An, Bình, Chi là như nhau. An cho đi 17 quả , Chi cho đi 19 quả thì lúc này số táo của Chi gấp 5 lần tổng số táo còn
soldier1979 [14.2K]

Answer:

So, the initial number of apples is 7.

Step-by-step explanation:

The number of apples of An, Binh, and Chi are the same. An gave away 17 apples, Chi gave away 19 apples, so now Chi's apples are 5 times higher than the total remaining apples of An and Binh. How many apples did each of you have at first? (Solve the above problem by equation or system of equations)

Let the initial numbers of apples is a.

An gave 17 apples

Chi gave 19 apples

So,

x - 19 = 5 (x - 17 + x)

x - 19 = 5 (2x - 17)

x - 19 = 10 x - 85

9 x = 66

x = 7

6 0
3 years ago
Find the angle between u = (8.- 3) and v = (-3,- 8) Round to the nearest tenth of a degree.
Nimfa-mama [501]

Answer:

<h2>90°</h2>

Step-by-step explanation:

First you must calculate the module or the magnitude of both vectors

The module of u is:

|u|=\sqrt{(8)^2 + (-3)^2} \\\\|u|=\sqrt{64 + 9}\\\\|u|=8.544

The module of v is:

|v|=\sqrt{(-3)^2 + (-8)^2} \\\\|u|=\sqrt{9 + 64}\\\\|u|=8.544

Now we calculate the scalar product between both vectors

u*v = 8*(-3) + (-3)*(-8)\\\\u*v = -24+ 24=0

Finally we know that the scalar product of two vectors is equal to:

u*v = |u||v|*cos(\theta)

Where \theta is the angle between the vectors u and v. Now we solve the equation for \theta

0 = 8.544*8.544*cos(\theta)\\\\0 = cos(\theta)\\\\\theta= arcos(0)\\\\\theta=90\°

the answer is 90°

Whenever the scalar product of two vectors is equals to zero it means that the angle between them is 90 °

5 0
4 years ago
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Steve determined the number of states each of his friends has visited. A number line goes from 0 to 44. The whiskers range from
Mnenie [13.5K]

Answer:

A

Step-by-step explanation:

I got it right on edge

4 0
3 years ago
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Need help with questions 1-4 immediatley !!
Brrunno [24]
1: 10x17=170
2:10x80=180
3:36 hours each day getting cars on and off 25 days so 36x25=900
4:49x34=1,666+52x3=156 the total is 1,822 dollars
5 0
4 years ago
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