1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
asambeis [7]
3 years ago
6

Solve the equation 2 cos x + 1 = 0 , 0 <= x <= 2pi PLEASE HELP! WILL AWARD!

Mathematics
2 answers:
Keith_Richards [23]3 years ago
6 0
It would be pi over 6, 5 pi over 6, and 3 pi over 6.
OleMash [197]3 years ago
3 0
Im not saying its right but I got <span>0,<span><span>2π</span>3</span>,<span><span>4π</span>3</span>,and2π  </span><span><span>f<span>(x)</span></span>=2<span><span>cos2</span>x</span>−<span>cosx</span>−1=0</span>
Solve this quadratic equation for cos x.
Since a + b + c = 0, use shortcut.
One real root is cos x = 1 and the other is <span><span>cosx</span>=<span>ca</span>=−<span>12</span></span>.
Trig table and unit circle -->
a. cos x = 1 --> arc x = 0, and arc <span>x=2π</span>
b. <span><span>cosx</span>=−<span>12</span></span> --> arc <span>x=±<span><span>2π</span>3</span></span>
The arc <span><span>−2π</span>3</span> is co-terminal to the arc: <span><span>4π</span>3</span>
Answers for <span><span>(0,2π)</span>:</span>
<span>0,<span><span>2π</span>3</span>,<span><span>4π</span>3</span>,and2<span>π</span></span>
You might be interested in
Name the quadrilaterals that have four equal sides.
Papessa [141]
A: rhombus and squares have four equal sides.
5 0
2 years ago
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.1\text{ ft}10.1 ft and the height of the
rjkz [21]

Answer:

28.5 ft^3

58.3 m^3

Step-by-step explanation:

volume of a pyramid = 1/3 x length x width x height

Perimeter of a pyramid = 4 x length

10.1 = 4 x length

length = 10.1 / 4 = 2.525

1/3 x (2.525 x 2.525 x 13.4) = 28.5 ft^3

1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

8 0
2 years ago
A boy has twice as many nickels as he has pennies, and he has 5 less dimes than nickels. If he has $4.46 in all, how many coins
Zarrin [17]
N=2p
n/2=p

n-5=d

10d+5n+1p=446
subsitute n/2 for p
subsitute n-5 for d
10(n-5)+5n+n/2=446
times 2 both sides
20(n-5)+10n+n=892
expand
20n-100+10n+n=892
31n-100=892
add 100 both sides
31n=992
divide both sides by 31
n=32

subsitute back

n/2=p
32/2=16=p


n-5=d
32-5=d=27


27 dimes
16 pennies
32 nickles
7 0
2 years ago
Silas is starting a lawn mowing company. He determines the start up cost to purchase law mowers is $560. He figures each law wil
Lelechka [254]

Answer:

$1 x $560 =$560

Step-by-step explanation:

3 0
3 years ago
Marlene is solving a number puzzle involving three rational numbers a, b, and c. Here are her clues:
rusak2 [61]
A/c = 8.....a = 8c
a * c = 2 ...a = 2/c
a/b = -16 ...a = -16b
a * b = -1....
b/c = -0.5

2/c = 8c
2 = 8c^2
1/4 = c^2
sqrt 1/4 = c
0.5 (or 1/2) = c <===

a * c = 2
0.5a = 2
a = 2/0.5
a = 4 <===

a = -16b
4 = -16b
4/-16 = b
-1/4 (or - 0.25) = b <===
5 0
2 years ago
Other questions:
  • Make m<br> the subject of<br> the formula<br> r=5m²-n
    7·1 answer
  • A falling stone is at a certain instant 250 feet above the ground and 3 seconds later it is only 10 feet above the ground. From
    14·1 answer
  • Cual pedazo es más grande 1/3 o 1/2? Y porqués?
    9·2 answers
  • Adam makes and sells birdhouses at local craft fairs. He has been selling about 36 each weekend if he charges $10.00 each. He ha
    8·1 answer
  • Having trouble on these type of questions. an explaination would be greatly appreciated
    8·1 answer
  • 5x - 7 = -13 solve the x
    7·2 answers
  • I thought of a number my number doubled is 20 greater than 200 what is my number
    13·2 answers
  • A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 24
    12·1 answer
  • Tell whether the ratios form a proportion. 1/3, 7/21
    7·2 answers
  • • A rope 75 meters long was cut into pieces that were each 1.5 meters long.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!