Review the incomplete steps in the derivation of the tangent sum identity.

A 2-column table with 5 rows. Column 1 has entries Step 1: Original expression, step 2: rewrite using the definition of tangent, step 3: apply the sine sum identity and cosine sum identity, step 4: question mark, step 5: simplify using the definition of tangent. Column 2 has entries tangent (x + y), StartFraction sine (x + y) Over cosine (x + y) EndFraction, StartFraction sine (x) cosine (y) + cosine (x) sine (y) Over cosine (x) cosine (y) minus sine (x) sine (y) EndFraction, blank, StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction.
Which action can be taken to the expression in Step 3 to give an expression for Step 4?
divide both the numerator and denominator by sin(x)sin(y)
divide both the numerator and denominator by sin(x)cos(y)
divide both the numerator and denominator by cos(x)sin(y)
divide both the numerator and denominator by cos(x)cos(y)

Answer:

13,5,12 inches hope this helps

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

We are given that

Casi traveled distance in 3 hours=135 miles

We have to find the time taken by Casi to drive 360 miles at the same speed using proportion .

Let time taken by Casi to drive 360 miles=x

We know that

Speed=[tex]\frac{Distance}{time}[/tex]

Using proportion

[tex]\frac{a}{b}=\frac{c}{d}[/tex]

[tex]\frac{135}{3}=\frac{36}{x}[/tex]

[tex]x=\frac{360\times 3}{135}[/tex]

[tex]x=8[/tex]

Hence, the time taken by Casi to drive 360 miles=8 hours

Answer:

2^27

Step-by-step explanation:

Given the following expression:

[(2^10)^3 x (2^-10)] ÷ 2^-7

This can be easily simplified. Let us simplify the numerator first. To do that, we have

(2^10)^3 making use of the power rule of indices that says:

(A^a)^b = A^ab where a and b are powers, we have:

2^(10x3) = 2^30

Therefore the numerator becomes:

2^30 x 2^-10. Also making use of the multiplication rule that says:

A^a x A^b = A^(a + b), we have

2^30 x 2^-10 = 2^(30 – 10) = 2^20.

Now we have:

(2^20) ÷ (2^-7)

To simplify this, we need the division rule of indices which says:

A^a ÷ A^b = A^(a – b)

Therefore we have:

(2^20) ÷ (2^-7) = 2^[20 – (–7)] = 2^(20+7) = 2^27

Following are the solution to the given expression:

Given:

[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]

To find:

value=?

Solution:

[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]

Using formula:

[tex]\to (A^a)^b = A^{ab}\\\\\to A^a \div A^b = A^{(a - b)}[/tex]

Solve the equation:

[tex]\to \frac{[(2^{30}) \times (2^{-10})]}{2^{-7}} \\\\\to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\ \to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\\to (2^{30 - (-7)}) \times (2^{-10- (-7)}) \\\\\to 2^{37} \times 2^{-3} \\\\\to 2^{37 -3} \\\\\to 2^{34} \\\\[/tex]

Therefore, the final answer is "[tex]\bold{2^{34}}[/tex]".

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Answer:

kinectic + electric = internal

Step-by-step explanation:

Internal energy U of a system or a body with well defined boundaries is the total of the kinetic energy due to the motion of molecules and the potential energy associated with the vibrational motion and electric energy of atoms within molecules. Internal energy also includes the energy in all the chemical bonds.

Answer:

The internal energy of a system is identified with the random, disordered motion of molecules; the total (internal) energy in a system includes potential and kinetic energy. This is contrast to external energy which is a function of the sample with respect to the outside environment (e.g. kinetic energy if the sample is moving or potential energy if the sample is at a height from the ground etc). The symbol for Internal Energy Change is ΔU .

Energy on a smaller scale

Internal energy includes energy on a microscopic scale

It is the sum of all the microscopic energies such as:

translational kinetic energy

vibrational and rotational kinetic energy

potential energy from intermolecular forces

One gram of water at zero °Celsius compared with one gram of copper at zero °Celsius do NOT have the same internal energy because even though their kinetic energies are equal, water has a much higher potential energy causing its internal energy to be much greater than the copper's internal energy.

Answer: 348

Step-by-step explanation:

Given : Total employees work = 725

Proportion of employees are post graduate = 52%

Proportion of employees are not post graduate = 100%-52% = 48%

The number of employees were not post graduate  = 48% of 725

= 0.48 x  725

= 348

Hence, the number of employees were not post graduate  = 348

Answer:

4

Step-by-step explanation:

Answer:

x = 4/7 or 0.571428571

Step-by-step explanation:

Answer:

2.50

Step-by-step explanation:

You just divide 30 by 12... and that will give you the cost of one battery.

Answer:

7

Step-by-step explanation:

Answer:

no answer

Step-by-step explanation:

2(-2)+3=-2

simplify

-4+3=-2

simplify

-1=-2

No answer

If there's something along the lines of no answer and it's multiple choice click that.

Answer:

Step-by-step explanation:

a) set up the variables

Let x represent the first number Then  y will represent the second number.

b) What is the equation that represents the above situation?

c) Solve the equation.

Substitute x in the second equation and solve for y:

Then find x

Answer:

[tex]\tt{34~and ~17 }[/tex]

Step-by-step explanation:

let the first number is =x

second number is =y

The sum of two numbers is 51 =x+y=51•••{1}

the greater number is twice the smaller number= x=2y••••••••{2}

According to the question,

[tex]\bold{ x+y=51 }[/tex]

[tex]\bold{2y+y=51 }[/tex] [tex]\because{ (x=2y ) }[/tex]

[tex]\bold{ 3y=51 }[/tex]

[tex]\bold{ y=\dfrac{51}{3} }[/tex]

[tex]\boxed{\blue{y=17 } }[/tex]

NOW put the value y in equation {2}

we get that,

[tex]\bold{ x=2×17 }[/tex]

[tex]\bold{ x=34 }[/tex]

Answer:

A

Step-by-step explanation:

I hope this helped you out

Answer:

5x-5

Step-by-step explanation:

Just use distribuative property

Answer:

Soln,

32°+a=90°[right angled triangle]

or,a=90°-32°

or,a=58°

•°•a=58°

The measure of the missing angle is, a = 58 degree

Used the concept of complementary angle that states,

The sum of complementary angles is always equal to 90 degrees.

Given that,

There are two angles shown in the image.

From the given image,

Angle a and 32 are complementary angles.

Hence,

a + 32° = 90°

a = 90° -32°

Therefore, the missing angle is,

a = 58 degree

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Answer:

I say it is 16.8

Step-by-step explanation:

40 x 42

100

= 16.8

The total number of chairs in the audience is 105.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Marcus looked out into the audience and saw 40% of the chairs were filled and 42 people are sitting in the chairs.

Let, 'x' be the total number of chairs.

Therefore, 40% of 'x' is 42 which can be numerically expressed as,

(40/100)×x = 42.

0.4x = 42.

x = 42/0.4.

x = 105.

So, The total number of chairs in the audience is 105.

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Answer:

Option A

Step-by-step explanation:

From the last triangle given in the picture,

x° = 45° + 85° [By the definition of exterior angle of a triangle]

x = 130°

Another way to get the value of x,

By triangle sum theorem,

45° + 85° + y° = 180°

y° = 180° - 130°

y = 50°

And (x° + y°) = 180° [linear pair of angles]

x + 50 = 180

x = 130°

Therefore, x = 130° because 180 - (45 + 85) = 50 and 180 - 50 = 130

Option A is the answer.

Answer:

C. y=4/5x + 8 is the answer

Answer:

The answer is D: y= -4/5x + 8

are they being multiplied or added or subtracted?

Answer:

(3, -1)

Step-by-step explanation:

3x +y = 8

-3x   =-3x

Y=-3x +8 Substitute into 1st equation           y=-3x+8

2x-7(8-3x+8)= 13                                                 -3(3) + 8

2x-56+21x= 13                                                       -9 +8

23x-56 =13                                                        y = -1    

     +56= +56

23x   =      69

23             23

   x = 3

solution (3, -1)

Answer:

x² + 4x + 3

Step-by-step explanation:

Dividing by (x - 5) then use h = 5 as divisor

5 | 1    - 1    - 17    - 15

    ↓     5     20     15

   -------------------------------

     1     4      3       0 ← remainder = 0

quotient = x² + 4x + 3

[tex]x^{2} +4x+3[/tex] is the quotient when [tex]x^{3} - x^{2} -17x-15[/tex] is solved using synthetic division.

Synthetic division is a simplified method for dividing a polynomial by another polynomial of the first degree by writing down only the coefficients of the several powers of the variable and changing the sign of the constant term in the divisor so as to replace the usual subtractions by additions.

Synthetic division of the given question-

5    |     1        -1        -17        -15

                     5         20        15

---------------------------------------------

           1         4         3           |0|          

Remainder = 0

Quotient = [tex]x^{2} + 4x+3[/tex]

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Answer:

W’(5, 3)

Step-by-step explanation:

edg its d

Answer:

the correct answer is d

Step-by-step explanation:

Answer:

20 × 10 = 200

Step-by-step explanation:

Multiply 2 × 1 = 2 and then add the two zeros onto the end to get 200.

Answer:

x = 5

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x+4−3x=3x−6−3x

−2x+4=−6

Step 2: Subtract 4 from both sides.

−2x+4−4=−6−4

−2x=−10

Step 3: Divide both sides by -2.

−2x /−2 = −10 /−2

x = 5

Answer:

the slope is 3

Step-by-step explanation:

Answer:

m = -1/3

Step-by-step explanation:

You have the right idea with the rise and run. We have a run of 15 and a rise (or I guess in this case, a decline) of -5. Slope is rise over run:

-5/15 = -1/3

This means we have a slope of -1/3.

Alternatively, we could just the points and put them into the slope formula.

We have the points (0,25) and (15,20). We can substitute those values into the formula:

m = y₁ - y₂ / x₁ - x₂

m = 25 - 20 / 0 - 15

m = 5/-15

m = -1/3

Works all the same.

Answer:

From Calculating, the slope would be 0.

Step-by-step explanation:

           This is because of the fact that the two points create a straight line across the x-axis. The points do not have any distance up or down, the only distance is 8 units across. The slope would be 0 because there isn't a slope, only a distance. Hope this helps.