Not sure how to solve 2sinxcosx+cosx=0 Could you help?

Answers

Answer 1

Answer: $2sinxcosx+cosx=0\n\ncosx(2sinx+1)=0\iff cosx=0\ \vee\ 2sinx+1=0\n\ncosx=0\ \vee\ 2sinx=-1\ /:2\n\ncosx=0\ \vee\ sinx=-(1)/(2)\n\nx=(\pi)/(2)+k\pi\ \vee\ x=-(\pi)/(6)+2k\pi\ \vee\ x=(7\pi)/(6)+2k\pi\ to\ k\in\mathbb{Z}$

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Which inequality matches the graph shown?
Can someone please help me with Geometry?
Coach Kelly bought 32 L of water to the football game, and she divied the water equally between 8 coolers how many milliliters of water did coach Kelly put in each cooler
Divide 6/13 by 6/12 .A. 1/12B. 9/16C. 12/13D. 13/12
Which of the following ordered pairs represents the solution to the system given below? x − 4y = 7 5x + 9y = 6

What is the answer
-8 + 3 + -8 – -3

Answers

-8+3+-8--3
minusing a negativ means adding a positive
adding a negaative means minusing a positive
-8+3-8+3
-5-8+3
-13+3
-10

The Answer would be -10

Question 24 Multiple Choice Worth 1 points)(8.01 MC)
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis

Answers

Given:

The system of equations is:

Line A: $y=x-4$

Line B: $y=3x+4$

To find:

The solution of given system of equations.

Solution:

We have,

$y=x-4$ ...(i)

$y=3x+4$ ...(ii)

Equating (i) and (ii), we get

$x-4=3x+4$

$-4-4=3x-x$

$-8=2x$

Divide both sides by 2.

$-4=x$

Substituting $x=-4$ in (i), we get

$y=-4-4$

$y=-8$

The solution of system of equations is (-4,-8).

Now verify the solution by substituting $x=-4, y=-8$ in the given equations.

$-8=-4-4$

$-8=-8$

This statement is true.

Similarly,

$-8=3(-4)+4$

$-8=-12+4$

$-8=-8$

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.

Whats the square root of 1.69?

Answers

The answer would be 1.3

Help!!! Geometric series.

Answers

Not just any geometric series, but an infinite one. The rare taming of infinity.

Since the ratio r=2/5 is strictly between -1 and 1 the infinite geometric series converges. The first term is also a=2/5 so the sum is

$S = (a)/(1-r) = (2/5)/(1 - 2/5) = \frac 2 3$

Answer: 2/3

That formula isn't too hard to derive. We have

$S = a + ar + ar^2 + ar^3 + ...$

$rS = ar + ar^2 + ar^3 + ...$

$S-rS = a$

$S = (a)/(1-r)$

The bottom of a box has a surface area of 31.4 cm2. The mass of the box is 47.1 kilograms. Acceleration due to gravity at sea level is 9.80 m/s2. What pressure is exerted by the box where it rests?14.7 N
1.5 N
0.153 N
6.53 N

Answers

The correct answer to the physics problem in pressure given above would be 1.5 N.

First, I converted the cm^2 to m^ 2 (31.4 cm^2 = .00314 m^2).

Then I computed for the force (F= mg = (47.1kg)(9.8m/s^2) = 461.58 N)

Consequently, I used the equation of pressure (P = Force/Area).
P = 461.58 N / .00314 m^2
P = 1.47 or 1.5 N

Answer:

Pressure = 147,000 N.

Step-by-step explanation:

Given : The bottom of a box has a surface area of 31.4 cm². The mass of the box is 47.1 kilograms. Acceleration due to gravity at sea level is 9.80 m/s².

To find : What pressure is exerted by the box where it rests.

Solution : We have given that area of box = 31.4 cm²

First we convert it in meter².

1 meter = 100 cm

31.4 cm² = 0.00314 meter².

Mass of box = 47.1 kg

Acceleration due to gravity = 9.80 m/s².

According to Newton second law of motion , F = mass * Acceleration due to gravity.

F = 47.1 * 9.8

F = 461.58 Newton.

Pressure = $(Force)/(Area)$ .