All categories

2 years ago

Find the value of 2cosx+1=0;0 less than x less than 360°

Mathematics

1 answer:

ohaa [14]2 years ago

7 0

Answer:

120°; 240°

Step-by-step explanation:

Let's first solve for $cosx$ : $2cosx=-1 \rightarrow cosx=-\frac12$ At this point it's just a matter of drawing a circle, and mark where the angle is(please excuse my paint skills, but free hand drawing would be even worse). Red line, is $-\frac12$ on the cosines, and both the green and blue lines are valid solutions. The green line is a quarter of a circle, plus 30°, or 120°. The blue one is 3/4 of a circle, minus 30 degrees, or 240°.

You might be interested in

A tile is chosen at random from a bag containing the following tiles: 7 blue, 3 green, 6 yellow, and 5 purple. Let P be the prob

weeeeeb [17]

Answer:

P(blue) = 0.33

P(green) = 0.14

P(purple) = 0.24

P(yellow) = 0.29

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

7+3+6+5 = 21 tils.

7 of them are blue. So

P(blue) = 7/21 = 0.33

3 of them are green. So

P(green) = 3/21 = 0.14

6 of them are yellow. So

P(yellow) = 6/21 = 0.29

5 of them are purple. So

P(purple) = 5/21 = 0.24

3 0

3 years ago

Read 2 more answers

$90 is what percent of $100?<br><br> I need help.

serg [7]

90%

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

3 0

3 years ago

A triangle has a 60° angle, and the two adjacent sides are 12 and "12 times the square root of 3". Find the radius of a circle w

shusha [124]

The radius of a circle with the same vertex as a center is 12 units

<h3>Application of Pythagoras theorem;</h3>

To get the radius of the circle, we need to determine the diameter of the circle first:

According to SOH CAH TOA:

$sin\theta = \frac{opp}{hyp} \\sin60 = \frac{12\sqrt{3}}{hyp} \\hyp =\frac{12\sqrt{3}}{sin60} \\hyp =\frac{2\times12\sqrt{3}}{\sqrt3}} \\hyp = 24 = diameter$

Determine the radius of the circle

Radius = dismeter/2

Radius = 24/2

Radius = 12

Hence the radius of a circle with the same vertex as a center is 12 units

Learn more on radius of a circle here: brainly.com/question/24375372

5 0

2 years ago

Solve the equation and check your solution. (If there is no solution, enter NO SOLUTION.) (4x − 6) divided by (4x+3) = 2/3

iren [92.7K]

$\frac{4x-6}{4x+3} = \frac{2}{3} \\ \\ 3(4x-6) = 2(4x+3) \\ \\ 12x - 18 = 8x +6 \\ \\ 4x = 24 \\ \\ x = 6$

8 0

2 years ago

I need help<br> please someone

mina [271]

Answer:

second option

Step-by-step explanation:

x - y= 28

x+y = 56

4 0

2 years ago