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tresset_1 [31]
3 years ago
6

Round 5,403.264 to the nearest hundred?

Mathematics
1 answer:
Alex73 [517]3 years ago
8 0
5400 is the nearest hundred to 5403.264
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Sin5A/SinA-cos5A/cosA=4cos2A​
irina1246 [14]

Answer:

See Explanation

Step-by-step explanation:

\frac{ \sin5A}{\sin A}  -  \frac{ \cos5A}{\cos A}  = 4\cos2A \\  \\ LHS = \frac{ \sin5A}{\sin A}  -  \frac{ \cos5A}{\cos A}   \\  \\  =  \frac{ \sin5A \:\cos A -  \cos5A \:  \sin A}{\sin A \:\cos A }  \\  \\  =  \frac{ \sin(5A -A )}{\sin A \:\cos A}  \\  \\ =  \frac{ \sin 4A}{\sin A \:\cos A}  \\  \\ =  \frac{ 2\sin 2A \: \cos 2A}{\sin A \:\cos A}  \\  \\ =  \frac{ 2 \times 2\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A}  \\  \\ =  \frac{ 4\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A}  \\  \\ =4\cos 2A \\  \\  = RHS \\  \\ thus \\  \\  \frac{ \sin5A}{\sin A}  -  \frac{ \cos5A}{\cos A}  = 4\cos2A \\  \\ hence \: proved

5 0
3 years ago
1/3(a+b+c)=z <br>solve a <br>​
Oksanka [162]

<em>Greetings from Brasil...</em>

isolating a:

(a + b + c)/3 = z

(a + b + c) = 3z

<h2>a = 3z - b - c</h2>

4 0
4 years ago
3 (x - 3) + x (r + 4)
docker41 [41]

Answer:

Step-by-step explanation:

3(x-3)+x(r+4)

3x-9+xr+4x

7x+9+xr

7 0
3 years ago
For an A.P. ,The first two term are -3, 4. The 21st term is
Dahasolnce [82]

Answer:

The 21st term is 137.

Step-by-step explanation:

Arithmetic progression:

In an arithmetic progression the difference between consecutive terms is always the same, and its called common difference.

The nth term is given by:

a_n = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

The first two terms are -3, 4.

This means that a_1 = -3, d = 4 - (-3) = 7

So

a_n = a_1 + (n-1)d

a_n = -3 + 7(n-1)

The 21st term is

a_{21} = -3 + 7(21-1) = -3 + 140 = 137

The 21st term is 137.

4 0
3 years ago
Which graph shows the solution to the system of linear inequalities? x – 4y &lt; 4 y &lt; x + 1 Image for option 1 Image for opt
slava [35]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x-4y ----> inequality A

solve for y

-4y

4y>x-4

y> (x/4)-1

The solution of the inequality A is the shaded area above the dashed line

The slope of the dashed line is positive

The y-intercept is the point (0,-1)

The x-intercept is the point (4,0)

y< x+1 ----> inequality B

The solution of the inequality B is the shaded area below the dashed line

The slope of the dashed line is positive

The y-intercept is the point (0,1)

The x-intercept is the point (-1,0)

Using a graphing tool

The solution of the system of inequalities in the attached figure

7 0
3 years ago
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