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
Genrish500 [490]
3 years ago
5

PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.

Mathematics
2 answers:
Liula [17]3 years ago
7 0

Answer:

\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}

Step-by-step explanation:

\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)

\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)

astraxan [27]3 years ago
3 0

Answer:

60, 180,300

Step-by-step explanation:

Rate 5 star please answer

You might be interested in
Solve for w.<br><br> w/5 = 3<br> 0<br> 2<br> 3<br> 5<br> 8<br> 15<br> 
Andreas93 [3]

Answer:

W=15

Step-by-step explanation:

:)

6 0
3 years ago
Read 2 more answers
Question 18
Svetlanka [38]

Answer:

Step-by-step explanation:

J and K are equal

8x - 23 = 6x + 11            Add 23 to both sides

8x = 6x + 11 + 23           Combine the right

8x = 6x + 34                  Subtract 6x from both sides

8x - 6x = 34                   Combine the left

2x = 34                           Divide by 2

x = 34/2

x = 17

=================================

M and L are both supplementary to J and K respectively.

J = 8x - 23

J = 8*17 - 23

J = 136-23

J = 113

K = 113

===================================

M + 113 = 180

M = 180 - 113

M = 67

L = 67

5 0
3 years ago
What is 8y=23+3x divided by 8?
arsen [322]
8y = 23 + 3x divided by 8: divide ALL numbers by 8
8y/8 is y
23/8 is 23/8
3x/8 is 3/8x
Therefore, the answer would be;
y = 23/8 + 3/8x, which is the same as y = 3/8x + 23/8
6 0
3 years ago
A sampling of hemlock trees revealed that 7 out of 190 trees are infected with insects. About how many of the 950 hemlock trees
nignag [31]

Answer:

About 35 trees in a state park are infected with insects

Step-by-step explanation:

we know that

7 out of 190 trees are infected with insects

so

using proportion

Find out about how many of the 950 hemlock trees in a state park are infected with insects

\frac{190}{7}=\frac{950}{x} \\\\x=7(950)/190\\\\x= 35

therefore

About 35 trees in a state park are infected with insects

3 0
3 years ago
In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the<br> nearest degree
Westkost [7]

Given:

In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.

To find:

The measure of angle P.

Solution:

According to the Law of Cosines:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Using Law of Cosines in triangle OPQ, we get

\cos P=\dfrac{o^2+q^2-p^2}{2oq}

\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}

\cos P=\dfrac{490000+384400-705600}{868000}

\cos P=\dfrac{168800}{868000}

On further simplification, we get

\cos P=0.19447

P=\cos^{-1}(0.19447)

P=78.786236

P\approx 79

Therefore, the measure of angle P is 79 degrees.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Slope intercept equation for (0,-4) and (4,1)
    12·1 answer
  • ) a rectangular box has length 12 inches, width 20 inches, and a height of 7 inches. find the angle between the diagonal of the
    6·1 answer
  • If y = 18, when x = 12, find y when x = 36.
    12·1 answer
  • F (x) = 3x^2+ 2x<br> Find f (-4)
    9·2 answers
  • Trace needs a new carpet for her house the living are is an open floor plan of a dining room 6 feet c 4 feet sitting area 10 fee
    8·1 answer
  • 100 points on the line
    7·2 answers
  • You want to frame a picture that is 5in by 7in with a 2.5 inch-wide frame.
    7·1 answer
  • Find the x and y intercepts
    14·1 answer
  • Find the zeros simplify all irrational and complex solutions <br><br> f(x)=x^4-11x^2-80
    6·1 answer
  • please help me solve. Blank 1 I have the answer 9 and blank 2 I have the answer 5. Blank 2 is correct but not Blank 1
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!