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
Naya [18.7K]
3 years ago
8

Which of the following is a solution to 2cos^2x– 2 = 0 ?

Mathematics
2 answers:
Sphinxa [80]3 years ago
8 0

Answer:

A and C

Step-by-step explanation:

Given

2cos²x - 2 = 0 ( add 2 to both sides )

2cos²x = 2 ( divide both sides by 2 )

cos²x = 1 ( take the square root of both sides )

cos x = ± \sqrt{1} = ± 1

cos x = 1 ⇒ x = cos^{-1}(1) = 0°

cos x  = - 1 ⇒ x = cos^{-1}(- 1) = 180°

gogolik [260]3 years ago
5 0

Answer:

2 possible results

0° and 180°

Step-by-step explanation:

2cos² x– 2 = 0  (add 2 to both sides)

2cos² x = 2  (divide both sides by 2)

cos² x = 2/2

cos² x = 1

cos x = ±√1

cos x = ±1

because the range of x is not stated, there are 2 possible results for x  that will cause cos x to be either 1 or -1

0° and 180°

You might be interested in
. In a class of all boys, 18 boys like to play chess, 23 like to play soccer, 21 like biking and 17 like hiking. The number of t
Bingel [31]

Answer:

  40

Step-by-step explanation:

It can help to make a diagram of some sort. Here is a sort of Karnaugh map. A Venn diagram can also work, or something like the one in the second attachment.

In the attachment of the first diagram, the rows and columns are labeled with 00, 01, 11, 10 — all the possible combinations of the two "likes" on that side of the diagram. A 0 indicates no like; 1 indicates a 'like to play'. Thus the "01" ro on the chess/soccer side of the board indicates "don't like to play chess and do like to play soccer." The numbers on this row will contribute to the number who like to play soccer, but not to the number who like to play chess.

Similarly, the "10" column on the hiking/biking side of the diagram indicates "like hiking but don't like biking." Numbers in this column will contribute to the counts of boys that like hiking, but will not contribute to the numbers who like biking.

For a problem of this nature, it often works well to start with the number who like all four activities. That "3" goes into the square on the "11" row and the "11" column, indicating all four activities are liked.

The total for "like chess, soccer, and hiking" is also 3, so the number in the 11 row and 10 column must be 0. That is, "like chess, soccer, and hiking" includes both those who do and those who don't like biking. If all three like biking, then there will be 0 who like chess, soccer, and hiking, but don't like biking.

The numbers at the right side or bottom of the main array are totals for rows, columns, or pairs of them.

The numbers in black are given in the problem statement. The numbers in red are derived by addition or subtraction to make the totals come out.

The colored squares have the totals indicated at lower right. In each case, the corresponding color in the main array is at the lower left of a 4-square block.

__

Once all the numbers are figured out, they can be totaled to find the number of boys in the class. That total is 40 boys.

4 0
3 years ago
Read 2 more answers
Segment VY is a midsegment of trapezoid FEDC. Find x.
Morgarella [4.7K]

Answer:

x = 12

Step-by-step explanation:

The midsegment VY is half the sum of the parallel bases , that is

VY = \frac{EF+CD}{2} , then

3x + 18 = \frac{1}{2} (x + 96) ← multiply both sides by 2 to clear the fraction

6x + 36 = x + 96 ( subtract x from both sides )

5x + 36 = 96 ( subtract 36 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

8 0
2 years ago
A model of a car is 4 inches long. If the actual car is 8 feet long, find the scale of the model. a. 4 in = 2 ft c. 8 in = 4 ft
Romashka-Z-Leto [24]

Answer:

1 inch = 2ft

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
TU = 3, RS = 15, TW = 4, TR = 9; Assume that the sides of triangle TUW are proportional to the sides of triangle TRS. What is th
VMariaS [17]

Answer:

  WS=8\ units

Step-by-step explanation:

we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal and the corresponding angles are also equal

In this problem

\frac{TU}{TR}=\frac{UW}{RS}=\frac{TW}{TS}

we have

TU=3\ units, RS=15\ units, TW=4\ units,TR=9\ units

Find the value of TS

\frac{TU}{TR}=\frac{TW}{TS}

substitute

\frac{3}{9}=\frac{4}{TS}

TS=36/3=12\ units

WS=TS-TW

WS=12-4=8\ units

see the attached figure to better understand the problem

3 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP
SOVA2 [1]

Answer:

x - 2 ≥ 0

Step-by-step explanation:

The expression under the square root cannot be negative, thus

x - 2 ≥ 0 , that is

x ≥ 2

4 0
3 years ago
Other questions:
  • Sanjay has $65 to spend at the mall. He bought a t-shirt for $18. If he want to but a pair of jeans how much can he spend​
    7·2 answers
  • The company has large and small ink cartridges in stock. How many ink cartridges can you buy with one hundred forty dollars if o
    7·1 answer
  • How do i complete the square for this equation ? x^2+ 8x+y^2-2y=64
    14·1 answer
  • Help, I tried it, but I keep getting the wrong answers
    7·1 answer
  • 5x<br><img src="https://tex.z-dn.net/?f=5x%20%7B%20%7B%20%3D%2045%7D%5E%7B%3F%7D%20%7D%5E%7B2%7D%20" id="TexFormula1" title="5x
    11·1 answer
  • Checking my kids math homework- I HATE common corpse! What is 12 divided by 2.436
    13·1 answer
  • Vhat is the solution to the following system?<br> 3x+10y- 12z = 40<br> X-5y = 0<br> X-4z = 0
    13·1 answer
  • 200 kg of brass is melted down and cast into ornamental frogs, each weight 3/20kg. How many frogs are made?
    15·1 answer
  • What are the roots of the equation 16x2 – 64x + 65 = 0 in simplest a + bi form?
    15·1 answer
  • What is the value of this expression -15-(-4)+17
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!