in the figure above AB= 4×+6 and BC=7×+15. if AC=120 , find the length of segment AB.?
​

If the equation is

- sin²(x) = cos(2x)

rewrite the left side using the Pythagorean identity,

sin²(x) = 1 - cos²(x)

and the right side using the double angle identity for cosine,

cos(2x) = 2 cos²(x) - 1

Then the equation transforms to

- (1 - cos²(x)) = 2 cos²(x) - 1

Solve for cos²(x) :

-1 + cos²(x) = 2 cos²(x) - 1

cos²(x) = 0

Take the square root of both sides to get

cos(x) = 0

Solve for x :

x = cos⁻¹(0) + 2nπ   or   x = cos⁻¹(0) - π + 2nπ

x = π/2 + 2nπ   or   x = -π/2 + 2nπ

where n is any integer. We get solutions in the interval [-π, π] when n = 0, giving the solutions

x = π/2   or   x = -π/2

Answer:

43%

Step-by-step explanation:

First, find the total amount of games:

13 + 15 + 2

= 30

Then, to find the percentage of games won, divide 13 by 30:

13/30

= 0.43

So, the team won approximately 43% of its games

Answer: Approximately 43.3%

Work Shown:

13+15+2 = 30 games total

Divide the number of games won (13) over the number total (30)

13/30 = 0.433 approximately which converts to 43.3% of the games won

To convert from decimal form to percent form, move the decimal point over to the right two spaces. Another example would be 0.83 converts to 83%

Answer:

K = 2/1

Step-by-step explanation:

Constant of proportionality can be found using any two given pair of values.

Constant of proportionality = y/x

Therefore, using (1, 2) , we have

Constant of proportionality = y/x = 2/1 = 2

Or it can be written as: k = ²/1 = 2

Answer:

3/12=0.25

Step-by-step explanation:

3/12=1/4

1/4*25/25 =25/100

25/100 = 0.25

Answer:

1.  To find the decimal form of 2/9 and 3/12, you have to divide the numerator by the denominator.

2. 0.25

3. 0.22222222

Step-by-step explanation:

1. pretty much explained it

2. divided the numerator by the denominator

3. same thing as 2 (divided the numerator by the denominator)

Answer:

1/2c-4

Step-by-step explanation:

First, you distribute the fraction on the outside to the numbers inside of the parenthesis. So, you distribute 1/2 to c, which gives you 1/2 x c = 1/2c. Then, you distribute the 1/2 to -8, which gives you 1/2 x -8 = -4. You combine these expression together and get your final answer as 1/2c-4.

Answer:

day

Step-by-step explanation:

6th grade and the final grade for this semester and the

Answer:

The answer is x<−3

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

4x+6−6<−6−6

4x<−12

Step 2: Divide both sides by 4.

[tex]\frac{4x}{4} =\frac{-12}{4}[/tex]

x<−3

Answer:

Scalene Triangle

Step-by-step explanation:

A scalene triangle is a triangle that’s supposed to have all three sides with unequal lengths.

Answer:

the answer is ;4

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Since, ray BD bisects ∠ABC,

Therefore, m∠ABD = m∠CBD

By substituting the values of the angles,

x° = (4x - 30)°

x - 4x = -30

-3x = -30

x = 10

Therefore, x = 10 will be the answer.

Answer:

3. 1 over 9 is the correct answer

Answer:

option 3 is correct.

hope it helps

Answer:

2 1/6 longer

Step-by-step explanation:

3 1/2-1 1/3

7/2 - 4/3

21/6-8/6

13/6 or 2 1/6

so 2 1/6 longer.

Hope this helps :D

Answer:

2 1/6 hours longer

Step-by-step explanation:

Hope the helps!

Answer:

f(x)= 1 correct me if wrong :)

Step-by-step explanation:

4 times 4 is 18

3 times 3 is 9

18-9=8

2 times 2 is 4

8-4=4

4-5=1

Answer:

Y=3x

Step-by-step explanation:

Proportional relationships always have multiplication or division

Answer:

4.

Step-by-step explanation:

lets just say the unknown is x.

[tex]b+b-1+b+b+10=bx+9\\4b+9=bx+9\\4b=bx\\4=x\\[/tex]

Hope this helps :D

Answer:

3/5 is the correct answer of the question

Answer:

The answer is

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

Let's solve this equation!

[tex] - \frac{2}{5} + a = \frac{1}{5} \\ \frac{ + \frac{2}{5} \: \: \: \: \: \: = + \frac{2}{5} }{a = \frac{3}{5} } [/tex]

Answer:

Your answer is going to be m=-9

Step-by-step explanation:

(-4(m+3))/-4=(24)/-4

m+3=-6

   -3  -3

m=-9

Answer:

Option c is correct

Step-by-step explanation:

Y =mx+c

Where m=2/3

c= 8/3

Answer:

the third option is the right answer

Step-by-step explanation:

y = mx+c

m is the slope

c is the y-intercept

compare the below equations:

[tex]y = mx + c[/tex]

[tex]f(x) = \frac{2}{3} x + \frac{8}{3} [/tex]

[tex]m = \frac{2}{3} \: and \: c = \frac{8}{3} [/tex]

Answer: .8409 or 37/44

Step-by-step explanation:

Answer:

uhhh

Step-by-step explanation:

Answer:

3.82 x 10

Step-by-step explanation:

divide 4 x 10^4 by 1.1 x 10^3

4 divided by 1.1 is 3.81818181... and you subtract exponents to get 1

Answer:

It isn't a function.

Step-by-step explanation:

Since there are two points on the same x value, in this case x=3, this means that these points can not be a function.

Step-by-step explanation:

Angle at center = 2 * Angle at circumference.

Angle MNP = 2 * Angle MQP = 30°.

Hence the angle measure of minor arc MP is 30°.

Answer:

30 degrees

Step-by-step explanation:

arc measure in degrees is twice the measure of the inscribed angle

Answer:

Y=3.68x

Step-by-step explanation:

Answer:

Its should be y=$3.68(X)

Answer:

the are is 14

brainliest??

Step-by-step explanation:

Answer:

48ft

Step-by-step explanation:

Hope this helps. :)

Step-by-step explanation:

D. 10 %

hope it helps!

.......

Answer:

I think it is 224.

Other:

Brainliest? Thanks!

Answer:

35 figurines

Step-by-step explanation:

if the ratio of cards to figurines is 5:7 and there are 25 cards, we multiply the ratio by 5 to make the 5 into a 25 and so can find out how mant figurines there are.

5*5:7*5= 25:35

so there are 35 figurines

Answer:

Interest charged over two years: $20

Total amount: $220

Step-by-step explanation:

The formula for simple interest is A = P ( 1 + rt ).

A = 200 ( 1 + (0.05 * 2))

A is the total amount ( interest + principle )

A = 220

P is the principle ( initial amount deposited )

P = 200

R refers to rate (in percent)

R = 0.05

T = time period (in years)

T = 2

Answer:

40%

Step-by-step explanation:

6/15 * 100 = 0.4 * 100 = 40%

Answer:

40% of the pieces of fruit in the Bowl are apples.    

Step-by-step explanation:

Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.

Total number of pieces of fruit  in a bowl = 15 pieces

Number of pieces of apple in a bowl = 6 pieces.

Therefore, 40% of the pieces of fruit in the Bowl are apples.

Answer: 63 as a decimal is 0.63

Step-by-step explanation:

Answer:

the answer to your question is 0.63