Find sin and tan (Picture provided)

Answer:

chese is th awnser

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

1.  (1 / 2)[cos(a – b) – cos(a + b)]

= 1/2 ( cosa cosb + sina sinb - (cosa cosb - sina sinb)

= 1/2 ( cosa cosb - cosa cos b + sina sinb + sina sinb)

= 1/2 ( 2 sina sinb)

= sina sinb.

(I  used the 2 identities   cos(a - b) = cosa cosb + sina sinb) and

cos (a + b) = cosa cosb - sina sinb.)

2.  sin (π/2 - x)  = sin (π/2) cos x - cos(π/2) sin x

     =    1 * cos x - 0 * sinx  

     =   cosx - 0

     = cos x.

  (I used the identity sin(a - b) = sina cosb - cosa sinb

 and the fact that  sin(π/2) = 1 and cos (π/2) = 0. )

Answer:

1. sin a sin b = (1 / 2)[cos(a – b) – cos(a + b)]

Calculation:

Taking L.H.S. of above equation

                    (1 / 2)[cos(a – b) – cos(a + b)]

                 = (1 / 2) [ (cos a cos b + sin a sin b) - (cos a cos b - sin a sin b)]

                           {∵ cos(a – b) = cos a cos b + sin a sin b     &    cos(a + b) = cos a cos b - sin a sin b}

                 = (1 / 2) [ cos a cos b + sin a sin b - cos a cos b + sin a sin b]

                 = (1 / 2) [2 sin a sin b]

                 = sin a sin b

2. sin((π / 2) – x) = cos x

Calculation:

sin((π / 2) – x) = sin (π / 2) cos x - cos (π / 2) sin x

                                                      {∵sin(a - b) = sin a cos b - cos b sin a                                                    

                                                       &  sin (π / 2)  =  1   &  cos (π / 2) = 0}

                       = 1 × cos x - 0 × sin x

                       = cos x

Answer:

20

Step-by-step explanation:

z=(180-124-16)/2

Here is your answer

[tex]<b>z= 20 degrees</b>[/tex]

REASON:

[tex]<font color="blue" size=5>Concept used</font>[/tex]: The sum of adjacent angles of a parallelogram is 180 degrees.

So, in above given figure

[tex] 2z+16+124=180 [/tex] (measures of adjacent angles)

[tex]2z+140=180 [/tex]

[tex] 2z=180-140 [/tex]

[tex]2z=40 [/tex]

[tex]z= 40/2 [/tex]

[tex]z= 20 [/tex]

HOPE IT IS USEFUL

Answer:

D.m=15t

Step-by-step explanation:

If the number of tickets is t and the total amount of money collected is m then a product of the price per ticket with the cost of the ticket gives the amount of money collected from the sale of the tickets.

therefore m= t×15

              m=15t

Answer:

D. m = 15t

Step-by-step explanation:

We have to assume that m is supposed to stand for the money (in dollars) that results from the sale of t tickets. Then the sale of t=1 ticket will result in m=15 dollars. Only one of the offered formulas will give this result:

m = 15t

_____

Comment on the problem

Variables need to be defined. We'd prefer to see some discussion of how concert expenses are covered, so we can be assured that ticket sales directly relate to money raised.

ANSWER

a. 2 real roots, 2 imaginary roots

EXPLANATION

The given equation is

[tex] {x}^{4} - 64 = 0[/tex]

We rewrite as difference of two squares,

[tex]( {x}^{2} )^{2} - {8}^{2} = 0[/tex]

We factor using difference of two squares to get;

[tex]( {x}^{2} - 8)( {x}^{2} + 8) = 0[/tex]

We now use the zero product property to get:

[tex]{x}^{2} = 8 \: or \: {x}^{2} = - 8[/tex]

Take the square root of both sides to get;

[tex]{x} = \pm \sqrt{8} \: or \: {x}^{2} = \pm \sqrt{ - 8} [/tex]

[tex]{x} = \pm 2\sqrt{2} \: or \: {x} = \pm 2\sqrt{ 2} i[/tex]

[tex]{x} = - 2\sqrt{2} \: or \: {x} = 2\sqrt{ 2}[/tex]

are two real roots.

[tex]{x} = - 2\sqrt{2}i \: or \: {x} = 2\sqrt{ 2} i[/tex]

are two imaginary roots.

The correct answer is A.

The correct answer is a. 2 real roots, 2 imaginary roots.

To determine the number and type of roots for the equation [tex]\(x^4 - 64 = 0\)[/tex]

1. Start with the equation:

[tex]\[ x^4 - 64 = 0 \][/tex]

2. Rewrite the equation as a difference of squares:

[tex]\[ x^4 - 64 = (x^2)^2 - 8^2 = (x^2 - 8)(x^2 + 8) = 0 \][/tex]

3. Set each factor equal to zero:

[tex]\[ x^2 - 8 = 0 \]\[ x^2 + 8 = 0 \][/tex]

4. Solve each equation separately:

For [tex]\(x^2 - 8 = 0\)[/tex]:

[tex]\[ x^2 = 8 \]\[ x = \pm \sqrt{8} = \pm 2\sqrt{2} \][/tex]

These are two real roots.

For [tex]\(x^2 + 8 = 0\)[/tex]:

[tex]\[ x^2 = -8 \]\[ x = \pm \sqrt{-8} = \pm \sqrt{8i^2} = \pm 2\sqrt{2}i \][/tex]

These are two imaginary roots.

Therefore, the equation [tex]\(x^4 - 64 = 0\)[/tex] has:

- 2 real roots: [tex]\(2\sqrt{2}\) and \(-2\sqrt{2}\)[/tex]

- 2 imaginary roots: [tex]\(2\sqrt{2}i\) and \(-2\sqrt{2}i\)[/tex]

The correct answer is:

a. 2 real roots, 2 imaginary roots

The complete question is- Which describes the number and type of roots of the equation [tex]x^4 - 64 = 0[/tex]

a. 2 real roots, 2 imaginary roots

b. 4 real roots

c. 3 real roots, 1 imaginary root

d. 4 imaginary roots

Answer:

Equation I: C=2*3.14*r

Step-by-step explanation:

A linear equation is an equation whose highest exponent on the variable is 1.

C=2*3.14*r.................Exponent of 1

A = 3.14*r^2...............Exponent of 2

A = 3.14*r^2...............Exponent of 3

Answer:

a)SSS b)AAS c)SAS d)SSS e)AAS dont worry i passed this lesson with a 100% if i am wrong then come and kill me :) i am sure it is right

Step-by-step explanation:

Final answer:

The rules for triangle congruence based on the given statements are SSS, ASA, SAS, SSS, and AAS, which are applied when certain combinations of angles and sides are congruent in two triangles.

Explanation:

To name the rule for each statement given for triangle congruence, we can apply the following:

a) SSS (Side-Side-Side) Congruence Postulate: Each pair of corresponding sides is congruent.

b) ASA (Angle-Side-Angle) Congruence Postulate: Two pairs of corresponding angles and one pair of corresponding sides are congruent.

c) SAS (Side-Angle-Side) Congruence Theorem: Two pairs of corresponding sides and the angles included between them are congruent.

d) SSS (Side-Side-Side) Congruence Postulate: Three sides of one triangle are congruent to three sides of a second triangle.

e) AAS (Angle-Angle-Side) Congruence Theorem: Two angles and a non-included side of each triangle are congruent.

These rules are foundational in establishing triangle congruence and are applied based on different combinations of sides and angles of triangles.

Answer:

Resolved.

Step-by-step explanation:

Answer:

The Answer is B. I had this a few months ago. Good luck with Apex!

Answer:

Option C

no, because the remainder is 126

Step-by-step explanation:

Given the polynomial equation in the question

-3x^{3}+6x^{2}+6x+9

factor =  x + 3 (divisor)

          -3x² + 15x - 39             Quotient

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

x + 3|  -3x³ + 6x² + 6x + 9     Dividend

        |  -3x³ - 9x²

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

                      15x² + 6x + 9

                      15x² + 45x

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

                               -39x + 9

                               -39x - 117

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

                                           126   Reminder

Since reminder is not zero so (x + 3) is not factor of -3x³ + 6x² + 6x + 9.

(x-3) is the factor of  -3x³ + 6x² + 6x + 9.

m∠H = 50°

∠H is a inscribed angle, and so that the intercepted arc would be twice the amount of the angle.

Arc KI = 100°

Because ∠KGI & ∠HKI share the same arc, the measurement for ∠KGI will be the same as ∠HKI, or 50°

m∠KGI = 50°

Next, find m∠KJI. arcKJI = 2(∠H) = 2(50) = 100

m∠KJI = 100°

~

Answer:

its C

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Here is your answer

[tex]\bold{-2}[/tex]

REASON :

Given equation -

[tex] \frac{-3}{4}{x}^{2}+2=0 [/tex]

when, written in general form equation is

[tex] \frac{3}{4}{x}^{2}-2=0 [/tex] (on multiplying both sides by -1)

Now this is quadratic equation in general form, where

[tex] a= \frac{3}{4} [/tex] [coefficient of x^2]

b= 0 [coefficient of x]

c= -2 [constant term]

Hence, c= -2

HOPE IT IS USEFUL

Answer:

-2

Step-by-step explanation:

a = 3/4

[coefficient of x^2]

b= 0 [coefficient of x]

c= -2 [constant term]

Answer: option a.

Step-by-step explanation:

By definition, we know that:

[tex]cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

Substitute [tex]sin(\theta)=\frac{6}{11}[/tex] into the first equation, solve for the cosine and simplify. Then, you obtain:

[tex]cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}[/tex]

As [tex]sec\theta<0[/tex] then [tex]cos\theta<0[/tex]:

[tex]cos(\theta)=-\frac{\sqrt{85}}{11}[/tex]

Now we can find [tex]tan\theta[/tex]:

[tex]tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}[/tex]

Answer:

a

Step-by-step explanation:

Answer:

3 hours and 45 minutes

Step-by-step explanation:

The time to travel 180 miles at an average speed of 48 miles per hour is approximately 3.75 hours. This was calculated using the formula Time = Distance / Speed.

The question is based on time, speed, and distance, all correlating with each other, and to solve, we will use the following frequently used formula:

Time = Distance / Speed

We can substitute the given values into our formula. We know our distance is 180 miles and our speed is 48 miles per hour. So, our equation becomes:

Time = 180 miles / 48 miles per hour

After calculating this equation, we get approximately 3.75 hours.

So, it would take approximately 3.75 hours to travel 180 miles at an average speed of 48 miles per hour.

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Answer:

$34.5

Step-by-step explanation:

1. 268 - 130 = 138

2. 138 x .25 = 34.5

The answer you are looking for is the first 1, or a. hope this helps. Please mark me as brainliest.

Answer:

The first line is the correct answer.  because of the ≤ sign it means that circle will be closed and the line will be to the left. A trick is if you picture the sign as an arrow then that will be which way the line will go. ;) Hope this helps!

Answer: $85

Step-by-step explanation: The formula for interest is I = PRT, where I equals interest, P equals principal, R equals rate and T equals time.

I = 1,700 x .05 x 1 = $85

You can expect to earn $85 interest for one year on the security deposit.

This statement is false.

Step-by-step explanation:

Credit cards can only lead to debt that is difficult to eliminate and should be avoided at all costs. This is false.

This is not a standard statement that credit cards always lead to debt. A person should use his credit card with responsibility. He should pay the bills timely to avoid accumulation of debt and other fines. Only when a person uses his card irresponsibly and does not pay dues timely, can lead to debts.

So, this is a false statements.

Answer:

False

Step-by-step explanation:

Answer:

b- 4.6

Step-by-step explanation:

5y = 2.3√x

Let x = 100

5y = 2.3 sqrt(100)

5y = 2.3 (10)

5y = 23

Divide by 5

5y/5 = 23/5

y =4.6

The interest rate required to increase an investment of $2700 to $6400 in 3 years, using the formula r=(a/p)^(1/t) - 1, is approximately 38.5% per year when compounded annually.

The subject at hand deals with the concept of finding the interest rate on an investment. The provided equation, which represents the interest rate formula, is: r=(a/p)^(1/t) - 1. Here, the variables represent the following: r is the interest rate, a is the amount of money accumulated after t years (the future value of the investment), p is the principle/original amount (the initial value of the investment), and t is the time in years. By inserting the given values (p = 2700, a = 6400, t = 3) into the formula, we get: r = (6400 / 2700)^(1 / 3) - 1.

The next step is to calculate the arithmetic for the values inside the parenthesis first, then raise it to the power of 1/3 (which is the cube root), and finally subtract 1 from the result. Doing these calculations you obtain approximately 0.385, or 38.5% when expressed as a percentage. So, the interest rate that is required to increase your investment of $2700 to $6400 in 3 years is approximately 38.5% per year when compounded annually.

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Answer:

[tex]f^{-1}(x)=\frac{ln(x)}{ln(3)}[/tex]

Step-by-step explanation:

Given: [tex]f(x)=3^x[/tex]

To find the inverse, let's first replace the [tex]f(x)[/tex] with [tex]y[/tex].

[tex]y=3^x[/tex]

Switch the [tex]x[/tex] and [tex]y[/tex].

[tex]x=3^y[/tex]

Solve for [tex]y[/tex].

[tex]y=\frac{ln(x)}{ln(3)}[/tex]

Write it in inverse notation.

[tex]f^{-1}(x)=\frac{ln(x)}{ln(3)}[/tex]

Answer: A) f^-1(x) = log₃x

1. would have to be team E because add up all the numbers 1058/8 (which is how many numbers that is there) 132.25.

2. (More of an explanation if you still don't understand)

52+52+53+54+55+55=321/6=53.5

52+53+54+55+57+57=328/6=54.66 repeated rounded to 54.7 so your answer is 1.2

62 inchezzzzzzz so 60-4 = 56 --- 56 +6 = 62

Answer:

4.50 yr

Step-by-step explanation:

I assume that this is compound interest.

The compound interest equation is

[tex]A = P(1+ \frac{r }{ n})^{nt}[/tex]

You don't give the frequency of compounding, so I assume that it is once per year.

Data:

A = ₹117 000

P = ₹90 000

r = 6 % = 0.06

n = 1

Calculations:

[tex]117 000 = 90 000(1+ \frac{0.06 }{ 1})^{1 \times t}[/tex]

[tex]117 000 = 90 000(1+ 0.06)^{t}[/tex]

Divide each side by 90 0000

[tex]1.3 = 1.06^{t}[/tex]

Take the logarithm of each side

log1.3 = tlog1.06

0.1139 = 0.025 31t

Divide each side by 0.025 31

t = 4.50 yr

You can buy your magic carpet in 4.50 yr.

Answer: is 5

all you have to do is                          \(^o^)/

(1,17,000−90,000)=27,000

1 year =6%of 90,000

1%of 90,000=900

6% of 90,000=(6*900)

1 year =5400

27,000 u divide that by 5400=5 soooooooooo......

Answer:

3 liters.

Step-by-step explanation:

If you go to the store and you buy a 2 liter of soda making a pitcher of lemonade with one more liter won't hurt.

A milliliter is not a lot. It won't even quench your own thirst. So 3 liters is the best option.

Answer:

D) 4/5

Step-by-step explanation:

He drew and replaced cards 10 times.

8 out of the 10 times, he drew a red card.

8/10 = 4/5

Answer: D) 4/5

You are correct.

Final answer:

The experimental probability of drawing a red card, based on the information given, is 4/5, since Marco drew 8 red cards out of 10 total draws.

Explanation:

The student is asking for the experimental probability of drawing a red card based on Marco's actual draws from a standard deck of 52 cards. Experimental probability is calculated by dividing the number of times the event of interest (drawing a red card) occurred by the total number of trials. In this case, Marco drew a red card 8 times out of 10 total draws.

Therefore, the experimental probability is:

Experimental Probability = Number of red cards drawn / Total number of draws = 8/10

When simplified, 8/10 equals 4/5. Therefore, the correct answer is:

Experimental Probability of Drawing a Red Card = 4/5

Answer:

The perimeter would then be squared

Step-by-step explanation:

Since each length is being multiplied by 2 the you have 2 of the same perimeters. So you just add them together or square it.

let's say number is x , then

30 × (x)^2 = 8x

subtracting 8x from both side

30x^2 - 8x = 0

taking 2x common

2x( 15x - 4)= 0

one solution is

2x = 0

x= 0

but number is non zero so ignoring it.

next solution is

15x - 4 = 0

adding 4 both side

15x = 4

dividing by 15 both side

x = 4/15

Final answer:

To determine if there is a significant difference between two polishing solutions, a two-proportion z-test can be used, comparing the proportions of polishing-induced defects. If the p-value is less than the significance level (0.01), the null hypothesis is rejected.

Explanation:

To determine if there is a significant difference between the two polishing solutions used in tumble-polishing intraocular lenses, we can perform a hypothesis test. The null hypothesis (H0) is that there is no difference between the proportions of polishing-induced defects for the two solutions, while the alternative hypothesis (Ha) is that there is a difference.

We can use a two-proportion z-test to compare the proportions of defects. The z-test statistic is calculated as:

z = (p1 - p2) / [tex]\sqrt{(p1q1/n1)[/tex] + (p2q2/n2))

where p1 and p2 are the proportions of defects, q1 and q2 are 1-p1 and 1-p2 respectively, and n1 and n2 are the number of lenses polished with each solution. The p-value for this test can be calculated using a standard normal distribution table or a statistical software.

If the p-value is less than the significance level α (0.01 in this case), we reject the null hypothesis and conclude that there is a significant difference between the two polishing solutions.

The p-value for this test cannot be determined without the actual values of p1, p2, q1, q2, n1, and n2.

Answer:   A) 3x + 5x - 4 = 1

Step-by-step explanation:

The second equation is y + 4 = 5x.  Solve this equation for y by subtracting 4 from both sides. --> y = 5x - 4

Now replace "y" in the first equation with "5x - 4".

     3x +      y     = 1

-->  3x + (5x - 4) = 1