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Answer:

It's d

Step-by-step explanation:

(1+cos(x))(sin(x))

The trigonometric expression (1+cos(x))2(tan(x/2)) is equivalent to  (1+cos(x))(sin(x))​ option (d) is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

The trigonometric expression is:

= (1+cos(x))²(tan(x/2))

As we know,

1 + cos(x) = 2cos²(x/2)

Use the above trigonometric identity:

= (2cos²(x/2))²(tan(x/2))

= 2 cos⁴(x/2) sin(x/2)/cos(x/2)

= 2 sin(x/2) cos³(x/2)

2sin A cos B = sin2A

Use the above trigonometric identity and after simplification we get:

= (1+cos(x))(sin(x))​

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Thus, the trigonometric expression (1+cos(x))2(tan(x/2)) is equivalent to  (1+cos(x))(sin(x))​ option (d) is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

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Answer:

f(-6) = 32

f(0) = 2

f(9) = -43

Step-by-step explanation:

Since in this question we are given a function all we have to do is to plug in the values that were indicated in the question and find out what value are we going to get as an output of this function. So we just do the following.....

a)

f(-6) = 2 - 5(-6)

f(-6) = 2 - (-30)

f(-6) = 2 + 30

f(-6) = 32

b)

f(0) = 2 - 5(0)

f(0) = 2 - 0

f(0) = 2

c)

f(9) = 2 - 5(9)

f(9) = 2 - 45

f(9) = -43

Answer:

The answer would be 80 black marbles.

Step-by-step explanation:

The student chose 10 marbles. 8 of those were black. There are 100 marbles total. Going at this rate, picking 10 at a time, 10x10 is 100. So we would do this 10 times. 8x10 is 80. 2x10 is 20. There are 80 black marbles.

Answer:

B. ΔRMS ≅ ΔRQS by AAS

I just took the test :)

Answer:B

Step-by-step explanation:just took the test

Answer:

B 4.8 inches

Step-by-step explanation:

The scale factors are used to convert a figure into another one with similar characteristics but different lengths, in this example is a triangle, and in order to calculate the measure of the height you just have to multiply the original height by the scale factor:

Answer:

21

Step-by-step explanation: You have to first put all the numbers in order and divided it by the amount of numbers that are in ur set and boom ur done.

Answer: SSS and CMW=FPY

Step-by-step explanation:

The lines on each side of the triangle show which sides match. So it is just a case of matching sides with sides.

Answer:

a = 21.82 if and only if b=10 and c=24

if you meant b=24 c=10

there can't be such a triangle because the hypotenuse is the longest side

Step-by-step explanation:

[tex]a^2+b^2=c^2\\\\a=?\\\\b=24\\\\c=10\\\\\\a^2+(24)^2=(10)^2\\\\a^2=(10)^2-(24)^2\\\\a^2=(10-24)(10+24)\\\\a^2=-14(34)[/tex]

which doesn't work because something squared can't be a negative

if you meant

c=24 and b=10

[tex]a^2+(10)^2=(24)^2\\\\a^2=(24)^2-(10)^2\\\\a^2=(24-10)(24+10)\\\\a^2=(14)(34)\\\\a\approx 21.82[/tex]

9514 1404 393

Answer:

  a = 26  or  21.82

Step-by-step explanation:

If 'a' is the hypotenuse, then ...

  a² = b² +c²

  a² = 24² +10² = 576 +100 = 676

  a = √676 = 26 . . . if 'a' is the hypotenuse

__

If 'a' is the long side, then ...

  b² = c² + a²

  b² -c² = a² = 24² -10² = 576 -100 = 476

  a = √476 ≈ 21.82 . . . if 'a' is the long leg

__

Comment on the question

The problem statement doesn't tell us what side of the triangle is labeled 'a'. There are two possibilities. An answer has been provided for each. Use the one that applies to the figure you are given.

Answer:

There isn't an image attached .

Step-by-step explanation:

Answer:

The answer is 5.-3

Step-by-step explanation:

Answer:

3yx+3yx^2-3y^2

Step-by-step explanation:

Answer:

7 thousandths as a decimal is 0.007

Step-by-step explanation:

The part where "ths" means a decimal. So we put 3 zeros, because a thousand also has 3 zeroes. 7 thousandths as a decimal is 0.007

Hope this helps

Mark me brainliest please :D

Answer:

A=18

B=78

Step-by-step explanation:

Answer:

A: $18.00

B: $78.00

Step-by-step explanation:

I did the assignment and got it right

edge 2021

Answer:

Step-by-step explanation:

OK so i think triangle c

Answer:

F And C

Step-by-step explanation:

congruent means identical in form

Answer:

x = 13

Step-by-step explanation:

Find the diagram attached

From the diagram, the sum of angle of the straight line BCD is 180°. Hence;

<BCE+<ECF<90 = 180

<BCE+64+90=180

<BCE+154 = 180

<BCE = 180-154

<BCE = 26°

Next is to get x.

The sum of interior angles <BCE and <BEC is equal to exterior angle <ABE

<BCE + <BEC = <ABE

26+x = 3x

Collect like terms

26 =3x-x

26=2x

x = 26/2

x = 13

Hence the value of x is 13

Answer:

Where's the prism? ＞︿＜

Step-by-step explanation:

Answer:

for 4x = 20 you have to use the division property of equality divide 20 by 4

for x - 11 = 9 you have to use the addition property of equality add 9 to 11

for 5x + 6x = 22 you have to combine like terms add 5x and 6x to make 11x

for 5(x – 2) = 30 you have to use the distributive property multiply 5 and x; 5 and -2

4x = 20; x = 5

x - 11 = 9; x = 20

5x + 6x = 22; 11x = 22; x = 2

5(x – 2) = 30; 5x - 10 = 30; x = 8

Step-by-step explanation:

hope this helps

Answer:

A yes

Step-by-step explanation:

Answer:

YES, because the points fall in a straight line when plotted on a graph.

Step-by-step explanation:

To graph these numbers we can take two of the points and put them into two point form and then convert that to slope intercept form.

(2,6) and (4,12)

(y-y1) = [(y2-y1)/(x2-x1)]*(x-x1)

y-6 = [(12-6)/(4-2)]*(x-2)

y = 3x+4

Answer:

x = 0

Step-by-step explanation:

In order to solve for x, first combine both fractions on the left

To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4

It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:

8x+24/32

Multiply 4x-2/8 by 4, you will get:

16x-8/32

Now you can add 16x-8/32 + 8x+24/32, you would get:

24x+16/32

Now you can start to solve for x

Your new equation is 24x+16/32 = 1/2

To solve for x, first multiply diagonally, then solve like a regular equation.

Multiply 24x+16 by 2 to get 48x+32

Then multiply 32 by 1 to get 32

Your new equation is 48x+32=32

Now subtract 32 by 32 to get 48x=0

Now divide 48 by 0 to get x=0

Answer:

< CDA = 140 degrees

Step-by-step explanation:

For a rhombus, the sum of the interior angles is 360 degrees and also the opposite angles are equal i.e <ABC = <CDA and <BAD = <BCD

Given

<CAD = 20 degrees

<BCE = 20 degrees (based on geometry)

<BAD = <CAD + <BCE

<BAD = 20 + 20

<BAD = 40 degrees

Since  <BAD =  <BCD, then  <BCD = 40 degrees

Get <CDA

<CDA + <ABC + <BAD +   <BCD  = 360

<CDA + <CDA + <BAD +   <BCD  = 360

2 < CDA + 40 + 40 = 360

2< CDA + 80 = 360

2< CDA = 360-80

2< CDA = 280

< CDA = 280/2

< CDA = 140 degrees

Answer: -7 (30h - 11) / 4h

Step-by-step explanation:

Answer:

Step-by-step explanation:

All you can do is remove the brackets.

7/2 h * -15h = -52.5 h^2

7/2 h * 1 1/2= 7/2h * 3/2 = 21/4 h =5.25 h

7/2h(-15h + 21/4) = - 52.5 h^2 + 5.25 h = -52 1/2 h^2 + 5 1/4 h

Answer:

D

Step-by-step explanation:

if you divide the money by the ounce, D is the cheapest with 0.24 per ounce

Answer:

Step-by-step explanation:

My guess is that it is not A.  And A is not the answer.

You have to try each one to see.

3.20 / 8 = .40 cents/ounce.

6.25/25 = .25 dollars per ounce

3.84/16 =  .24

The last one is the better buy.

Answer:

x = - 2

Step-by-step explanation:

Given

6 - x = 4(5 + x) - 4 ← distribute and simplify right side

6 - x = 20 + 4x - 4

6 - x = 16 + 4x ( subtract 4x from both sides )

6 - 5x = 16 ( subtract 6 from both sides )

- 5x = 10 ( divide both sides by - 5 )

x = - 2

Answer:

you can buy 9 poundssss