If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), What is the value of z?

Answers

Answer 1

Answer:

6

Step-by-step explanation:

Given the expression sin(9z − 1) = cos(6z + 1), for 0 < z ≤ 90, we are to find z

Note that sin theta = cos(90-thetsa)

sin(9z − 1) = cos(6z + 1)

cos (90 - (9z-1)) = cos(6z + 1)

cos (90 - 9z+1)) = cos(6z + 1)

cos (91-9z) = cos(6z + 1)

Cos will cancel out to have;

91-9z = 6z+1

-9z - 6z = 1-91

-15z = -90

z = 90/15

z = 6

Hence the value of z is 6


Related Questions

use elimination to solve and please show ur work.
4x + 3y = 6
2x - y = -2

Answers

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(0,2)

Equation Form:x=0, y=2

Answer:

(0,2)

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of  y  opposite.

3*2x-y=3*-2

Simplify

6x-3y=-6

Add the two equations

10x = 0

Divide both by 10 and simplify

x=0

Substitute x into the equations.

4*0+3y=6

3y=6

2

y=2

Find the product of (-94) and 47.

Answers

Answer:

I think it's -4418

Factor completely. x^2−11x+24

Answers

Answer:

(x-3)*(x-8)

Step-by-step explanation:

x^2-11x+24=(x-3)*(x-8)

Which system of equations has no solutions? y - ​

Answers

the second one on the top right

Jenna borrows $8,000 for college at a yearly simple interest rate of 6%. She takes
15 years to pay off the loan and interest. How much interest does she pay? What is
the total amount she pays?

Answers

Answer:

The interest will rack up to $7,200

The total will be $15,200

Step-by-step explanation:

the interest she pays is $7,000

the total amount she pays is $15,200

Jenna borrows $8,000 for college at a simple interest rate of 6%

she has 15 years to pay back the loan and interest

the interest can be calculated as follows

= 6/100 × 8,000

= 0.06 × 8000

= 480

= 480 × 15

= $7200

the total amount she pays can be calculated as follows

= $7200 +$8000

= $15,200

Hence the interest she pays is $7200 and the total amount is $15,200

please see the link below for more information

https://brainly.com/question/19334153?referrer=searchResults

HELP ME PLZ !!! IT'S ALGEBRA

Answers

Answer:

x = - 8/23

y = 40/23

Step-by-step explanation:

-5x- y = 0

and

-8x+3y = 8

The first step to solve this would be to get what one of the two variables equal. The easiest in this case is y from the first equation.

-5x-y = 0

-y = 5x

y = - 5x

Now you can take this y value and plug it into the section equation.

-8x + 3(-5x) = 8

-8x - 15x = 8

-23x = 8

x = - (8/23)

Once you get the x value you can plug it back into equation one to get y's value

-5*-(8/23)  - y = 0

40/23 - y = 0

y = 40/23

12.7
4. Mariana compró 46 pies de listón azul, para hacer adornos navideños, ¿cuántos
centímetros de listón tiene? (1 pie=0.3048 m)
1
3
14​

Answers

Answer:

3500cmnjdkslkrkdjdsllwldkkdkrkfjfrkrk

Check whether the sequence is arithmetic. If​ so, find the common difference d. 2​, 7​, 12​, ​17, 22 ... Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

Answers

Answer:

The answer is A.

Step-by-step explanation:

The common difference is five because 7-2=5, 12-7=5, 17-12=5, 22-17=5, and so on.  

Last week, Naomi set a new personal record for running the mile. She beat her previous record by 14 seconds. The time change from her previous record can be represented by.____
zero
a positive rational number
a negative rational number


brainlyist for the correct answer

.

Answers

Answer:

a negative rational number

Step-by-step explanation:

I'm pretty positive this is the answer, but its worded strange in my opinion

Derrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders. Which inequality can be used to find the possible values for s? s−45>100
s−45<100 s+45≤100 s+45≥100

Answers

Answer:

s+45≥100

Step-by-step explanation:

"A minimum of" means either the same amount or more. So, the total amount he sells (s + 45) needs to be greater than or equal to 100.

9 strings of lights for $52.65 .how much does one string of lights cost ?

Answers

Answer:$5.85

Step-by-step explanation: you divide 52.65 divided by 9 and it will equal $5.85

Answer:

$5.85. Hope this helped! :')

Step-by-step explanation:

1. Use the algorithm method.                              

          5      . 8 5

9 |        5 2 . 6 5

            4 5 .  

                7 . 6

                7 . 2

                      4 5

                      4 5

2. Therefore, 52.62 divided by 9=5.85

5.85

Please help!! I will make you brainlest.

Answers

Answer:

Step-by-step explanation:

These problems are based on triangle ratios. You cannot use the Pythagorean theorem to solve them.

The first triangle is a 45 45 90 degree triangle (I'm talking about the angles), and so, the ratio is 1:1:[tex]\sqrt{2\\}[/tex], so I have to divide the hypotenuse by [tex]\sqrt{2\\}[/tex] to get the legs. The hypotenuse is 15[tex]\sqrt{6}[/tex], so that divided by [tex]\sqrt{2\\}[/tex] is 15[tex]\sqrt{3\\}[/tex]. X is the same length as y because of the triangle ratio, so both x and y for the first triangle are 15[tex]\sqrt{3\\}[/tex].

The second triangle is a 30 60 90 degree triangle, so the ratio is x:x[tex]\sqrt{3}[/tex]:2x. The short leg is 7[tex]\sqrt{3}[/tex], so 7[tex]\sqrt{3}[/tex] * 2 is the hypotenuse, which is 14[tex]\sqrt{3}[/tex]. The long leg is 7[tex]\sqrt{3}[/tex] * [tex]\sqrt{3}[/tex], which is 21. So, x for the second triangle is 14[tex]\sqrt{3}[/tex], and y for the second triangle is 21.

Answer:

Question 9: x = [tex]15\sqrt{3}[/tex], Question 10: y = [tex]15\sqrt{3}[/tex], Question 11: x = [tex]14\sqrt{3}[/tex], Question 12: y = 21

Step-by-step explanation:

Question 9-10: Right triangles with 45°, 45°, 90° have a special rule, the legs of the triangle are equal, so x = y. Now you can form the statement [tex]2x^2 = 1350[/tex], and because x = [tex]15\sqrt{3}[/tex], so does y.

Question 11-12: Right triangles with 30°, 60°, 90° also have a special rule, the side corresponding to 30° is half the length of the hypotenuse and the side corresponding to 60° is [tex]\sqrt{3}[/tex] times as great as the 60°. x is 2 times as big as [tex]7\sqrt{3}[/tex], so its length is [tex]14\sqrt{3}[/tex]. Y is [tex]\sqrt{3}[/tex] as great as [tex]7\sqrt{3}[/tex], so its length is 21.

A number divided by —4 is —13. pls help<3

Answers

52 /(-4)= -13 so the answer is 52

Answer:

[tex]\frac{n}{-4} =-13: n = 52[/tex]

Step-by-step explanation:

[tex]\frac{n}{-4} =-13: n = 52[/tex]

An easy way to find out is by plugging the variable with a constant such as 2

Find the circumference of the circle shown: 10 ft

Answers

Answer:

31.42

Step-by-step explanation:

equation for solving is C= π d

circumference is  π x diameter

so therefore the new equation is π x 10

3.14 (π) x 10 (d) = 31.42

I WILL GIVE BRAINLIEST!!!
Complete the statement.
Greater than, equal to, or less than?

Answers

Answer:

x is smaller than 10in so x<5

Step-by-step explanation:

How please help me and explain bc I have no clue how

Answers

=4 I think that could be the answer

Which choice below lists all of the square roots of the number 100?
A. V10-10
C. 10,-10
B. 10
E. 50,-50
D. -10

Answers

Answer:

c. 10, -10

Step-by-step explanation:

10x10=100

-10x-10=100

Answer:C

Step-by-step explanation: when doing the square root of 100 it’s 10 but -10 times -10 is also 100 because of double negatives

d. Lauren and Gina's mother told her daughters they can
swim in the pool for 20 minutes. First, they swam laps in
the pool for 7 minutes. Then they swam underwater for
one minute. Then they played water polo for 8 minutes.
How much longer can they stay in the pool?

Answers

Answer:

4 minutes left

Step-by-step explanation:

20 - 16 = 4

The longer can they stay in the pool 4 minutes left.

We have given that,

Lauren and Gina's mother told her daughters they can

swim in the pool for 20 minutes.

First, they swam laps,

The pool for 7 minutes.

Then they swam underwater for one minute.

Then they played water polo for 8 minutes.

We have to determine the longer can they stay in the pool.

How many seconds in 1 minute?

1 minute =60 second

4 minutes left

20 - 16 = 4

The longer can they stay in the pool 4 minutes left.

To learn more about the time visit:

https://brainly.com/question/2854969

#SPJ2

Consider the system of linear equations −4x+2y=4 and 4x−y=−6. Which is different?

Answers

Answer:

one is plus + and the other is mines -

Step-by-step explanation:

Which of the following describes the correct first step in solving the equation 2x - 7 = 5?

Answers

Answer:

you need to post a picture of the options, but the answer is add seven to both sides.

Step-by-step explanation:

Answer:

add 7 to 5

Step-by-step explanation:

1. 2x - 7 = 5  

2. 2x = 5 + 7     (reverse the 7)

3. 2x = 12          (simplify)

4. 12/2               (divide number by the unknown value)

5. x= 6           (solve?)

6. 2(6) - 7 = 5    (CHECK)

(x-7)(2x + 1) = 0

Factoring

Answers

Answer:

x=7,x=-1/2

Step-by-step explanation:

so x-7=0 or 2x+1=0

x=7 or 2x=-1

x=7,x=-1/2

if my answer helps please mark as brainliest.

Multiply the radical expression:
6 3.2 4

Answers

Answer:

answer is 24_/3.

......................

6√3 ⋅ 2√4 = 6√3 ⋅ 2⋅2 =24√3

What is 46x15?? Thank you so much!

Answers

Answer:

i think its a uhhh i think its a carrot..

Step-by-step explanation:

can someone please help ​

Answers

Answer:

C

Step-by-step explanation:

We can use the pythagorean theorem (A^2 + B^2 = C^2) To solve this question.

For answer A, we add 6^2 (36) and 8^2(64) to get 10^2 (100). This is a right triangle.

For question B, we add [tex]\sqrt{3}[/tex] ^2 (3) and [tex]\sqrt{8}[/tex]^2 (8) to get [tex]\sqrt{11}[/tex]. This is a right triangle.

For question C, we add 3^2 and 5^2 to get [tex]\sqrt{34}[/tex]. This is not a right triangle.

in the scale drawing what will the length of the West side be? ​

Answers

28 or 8 depending on which part of the drawing you’re referring to

16. Physical Science A ball is dropped from a
height of 500 meters. The table shows the height
of each bounce, and the heights form a geometric
sequence. How high does the ball bounce on the
8th bounce? Round your answer to the nearest
tenth of a meter.

Answers

Ball will bounce 83.9 meters high on the 8th bounce.

Geometric sequence:

nth term of a geometric sequence is given by the expression,

        [tex]T_n=ar^{n-1}[/tex]

        Here, [tex]a=[/tex] First term

         [tex]r=[/tex] Common ratio in each term

         [tex]n=[/tex] Number of term

    From the table attached,

  First term [tex]a=400[/tex] meters   Common ratio [tex]r=\frac{\text{Second term}}{\text{First term}}[/tex]

                                       [tex]=\frac{320}{400}[/tex]

                                       [tex]=0.8[/tex]

           8th term of the sequence will be,

           [tex]T_8=400(0.8)^{8-1}[/tex]

           [tex]T_8=83.886[/tex]

                [tex]\approx 83.9[/tex] meters

Find out more information about geometric sequence here;

https://brainly.com/question/11266123?referrer=searchResults

MULTIPLE CHOICE: Choose the BEST ANSWER. The equation C = 5n represents the cost “C” in dollars for “n” caps that advertise the walkathon. Which of the following ordered pairs could represent a number of caps and the cost for that number of caps, (n, C)?
A. (0 , 5)
B. (3 , 15)
C. (15 , 60)
D. (5 , 1)

Answers

Answer:

c

Step-by-step explanation:

—330 + 450 need help !!!!!!!

Answers

120
hope that helps

Answer:

120

Step-by-step explanation:

use a calculator (if you have one )

Task 4:

A carnival attraction tests your strength by how far in the air

you can drive a weight with a hammer. If the weight

reaches 15 feet you win a prize! The equation

h = -1612 + 317 + 2 gives the height h of the weight t seconds

after you hit it.

A: How long is the weight moving?

B: What was the weight's maximum height?

C: Did you win a prize? How do you know?

Answers

B i think i am sorry if it is not right but i am pretty sure i am right tho

The Hendricksons are in charge of bringing treats for 50 football players. They brought 3 coolers of popsicles and 2 coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat. Which statement best predicts how many players will get a popsicle?

Answers

3/5 of the players (30 players) will get a popsicle.

There are 5 coolers in total. There are 3 coolers of popsicles, which means 3/5 of the coolers are popsicle coolers.

To find out how many football players will get a popsicle, multiply the amount of football players (50) by the chance they will pick a popsicle cooler (3/5).

50 x 3/5 = 30 football players

Answer:

There will be close to 30 football players but probably not exactly 30 football players who get a popsicle.

Step-by-step explanation:

Its correct on Khan Academy

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This graph shows the number of American farms from 1910 to 1990. What most likely explains this change in the number of farms? Corporations took over smaller farms, and the overall number dropped. Corporations took over smaller farms, and the overall number rose. Farms became less productive, and the overall number dropped. Farms became more productive, and the overall number rose. 4. The black triangle was transformed tomake the gray triangle. Which representsthe transformation?A (x, y) + (x + 3, y + 3)B (x, y) (3x, 3y)C (x,y) (x-2, y-2) please help me asap i need it What are the East Asian arts (China, Japan and Korea) inspirations and influences? Andre is planting saplings (baby trees). It takes him 30 minutes to plant 3 saplings. If each sapling takes the same amount of time to plant, how long will it take Andre to plant 14 saplings? If you get stuck, consider using the table. Solve7 + X = 2x-53 Explain what effect an index of 0 has How did Chandra Gupta Maurya unite India against foreign invaders? Which musical device can composers use to lengthen a note by double?A. staccatoB. tenutoC. marcatoD. fermataE. rubato The symbol used on a map to represent and find distance is a A New England Nunby Mary E. Wilkins FreemanIn about half an hour Joe Dagget came. She heard his heavy step on the walk and rose and took off her pink and white apron. Under that was still anotherwhite linen with a little cambric edging on the bottom; that was Louisa's company apron. She never wore it without her calico sewing apron over it unless she had a guest. She had barely folded the pink and white one with methodical haste and laid it in a table drawer when the door opened and Joe Dagget entered. He seemed to fill up the whole room. A little yellow canary that had been asleep in his green cage at the south window woke up and fluttered wildly, beating his little yellow wings against the wires. He always did so when Joe Dagget came into the room."Good-evening," said Louisa. She extended her hand with a kind of solemn cordiality."Good-evening, Louisa," returned the man, in a loud voice.She placed a chair for him, and they sat facing each other, with the table between them. . . .Presently, Dagget began fingering the books on the table. There was a square red autograph album and a Young Lady's Gift-Book, which had belonged to Louisa's mother. He took them up one after the other and opened them; then laid them down again, the album on the Gift-Book.Louisa kept eyeing them with mild uneasiness. Finally she rose and changed the position of the books, putting the album underneath. That was the way they had been arranged in the first place.Dagget gave an awkward little laugh. "Now what difference did it make which book was on top?" he said.Louisa looked at him with a deprecating smile. "I always keep them that way," she murmured."You do beat everything," said Dagget, trying to laugh again. His large face was flushed.Adapted from Mary E. Wilkins Freeman's "A New England Nun," 1899.A.)He is excited to read Louisas books.B.)He is uncomfortable in Louisa's house.C.)He feels awkward about expressing his love for Louisa.D.)Louisa amuses him and makes him laugh. Primus King was not allowed to vote in a 1944 Georgia primary election because heO was a citizen in another state.had not registered to vote.O was African American.O had not paid his poll tax. y= x + 1y= -x + 5 what's the answer pls I need it asap Please help!! I will give brainliest What is a healthy range of blood glucose before a meal?180 to 220 mg/dl70 to 110 mg/dl30 to 70 mg/dl90 to 130 mg/dl plsss help Ill mark brainliest. Im begging you I have a D in this class Im trying to change that:) THE SAMPLE WORDS MEANS THE WORDS UNDER WORD WITH ROOT. Where is the main asteroid belt in the solar system? This question has two parts. First answer part A. Then, answer part B Part A What is a theme of the passage? A. Not everyone will agree with you all the time B. There is more than one way to solve a problem. You can find the answers you seek if you look hard enough. D. People with different opinions can still find a way to get along A bag contains 77 coins consisting of quarters and nickels. The total value of the coins is $12.50. Write a system of equations that can be used to determine the number of quarters, x, and the number of nickels, y, in the bag. a x + y = 77 0.25x + 0.5y = 12.5 b 0.25x +0.5 y = 77 x + y = 12.5 c x + y = 77 0.25x + 0.05y = 12.5 d 0.25x + 0.05y =77 x + y = 12.5 Which of the following are internal cellular conditions? A) temperature, pH, water concentration, salt concentration B) sunlight, dry environment, wind