I NEED HELP ASAP!!! 100 POINTS
If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?
f=3
f=4
f=5
f=6

Answers

Answer 1

Answer:

A

Step-by-step explanation:

We are given:

[tex]\cos(22f-1)=\sin(7f+4)[/tex]

Recall the co-function identity:

[tex]\sin(\theta)=\cos(90-\theta)[/tex]

Let θ = 7f + 4. So:

[tex]\sin(7f+4)=\cos(90-(7f+4))[/tex]

Substitute:

[tex]\cos(22f-1)=\cos(90-(7f+4))[/tex]

Remove the cosine:

[tex]\displaystyle 22f-1=90-(7f+4)[/tex]

Distribute:

[tex]22f-1=90-7f-4[/tex]

Subtract:

[tex]22f-1=-7f+86[/tex]

Add 7f and 1 to both sides:

[tex]29f=87[/tex]

Therefore:

[tex]f=3[/tex]


Related Questions

Can someone solve this and show work?

Answers

Answer:

No habla engles

Step-by-step explanation:

Answer:

x = - 6, x = 4

Step-by-step explanation:

Given

x² + 2x - 24 = 0

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 2)

The factors are + 6 and - 4 , since

6 × - 4 = - 24 and 6 - 4 = + 2 , then

x² + 2x - 24 = (x + 6)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 4 = 0 ⇒ x = 4

Which of these is a correct identity?
x + 4x = 5x
6x = 18
2x + 1 = 7
7x + 9 = x

Answers

Answer:

x + 4x = 5x

Step-by-step explanation:

An identity is a mathematical equation that is always true (here - for all possible x's).

a). x + 4x = 5x; this is true, because for any possible x

x+4x = (1 + 4)x = 5x; there's not much to add.

b). 6x=18; evaluates to

x = 3; so it only works for one x, not all possible xs.

c). 2x + 1 = 7

2x = 6

x = 3; so it only forks for one x

d). 7x + 9 = x

6x + 9 = 0; we could compute the exact x it works for from here, but suffice to say this doesn't work for x = 0.

In between these given equations, x + 4x = 5x is the correct identity here.

What is an identity?

"An identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B produce the same value for all values of the variables within a certain range of validity."

Given equations are:

1. x + 4x = 5x

⇒ 5x = 5x

This equation is true for all values of 'x'.

Hence, this is a correct identity.

2. 6x = 18

⇒ x = 3

This equation is true when x = 3.

3. 2x + 1 = 7

⇒ 2x = 6

⇒ x = 3

This equation is true when x = 3.

4. 7x + 9 = x

⇒ 6x = - 9

⇒ x = - 9/6

⇒ x = - 3/2

This equation is true when x = - 3/2.

Learn more about an identity here: https://brainly.com/question/12984949

#SPJ3

Which of the following is an arithmetic sequence?

12, 4, 4/3, 16/3 ...
1/2, -1/2, -3/2, -5/2 ...
1/2, -1/2, 1/2, -1/2 ...
2, 4, 8, 16, ...

Answers

Answer:

1/2,-1/2,1/2,-1/2

Step-by-step explanation:

hope helpa

Efectúa las siguientes divisiones de monomios
Me ayudan por favor ​

Answers

Answer  

c. 20 : 10

F . 30:15

i. 28 : 14

Step-by-step explanation:

WILL GIVE BRAINLIEST PLEASE ANSWER FAST Solve for each indicated angle measure or
variable in the figure.

Answers

180 - (25 + 20) = 135 angle Q
x = 45

Answer:

All angles in a triangle sum up to 180 degrees. The value of x is 45 degrees.

Step-by-step explanation:

Jaxson and his friends went into a movie theater and they want to buy some bags of popcorn and pretzels. Each bag of popcorn costs $5.50 and each pretzel costs $4.00. How much would it cost to buy 4 bags of popcorn and 2 pretzels? How much would it cost to buy bb bags of popcorn and pp pretzels?

Answers

Answer:

$22 for popcorn and $8 for pretzels together it would be $30

Step-by-step explanation:

here are 3 number 1 2 4 what it the 4 and 5 terms of the sentance

Answers

‘1 2 4 8 16’
my thinking is the numbers are squared.
You should answer in the n th term like that she can ask even for the 100th number and u will have it . The way it works is where u see the ‘n’ in the pic u replace with the number she asks 4 and 5. Btw the formula below only works for this.


Resuelve

Ritmo de cambio. Cada uno de los siguientes datos es la pendiente de una recta que representa los ingresos diarios y en términos del tiempo X en días. Utilizar la pendiente para interpretar
la variación en los ingresos correspondiente a un incremento de
un día
a). m =800
b). m =250
c). m = 0​

Answers

Answer:

800m

Step-by-step explanation:

porque incremento de un día

I need help ASAP , I don’t understand this

Answers

Answer:

can't see, the pic is too blurry

PLEAASSEE PLLEEAAASSSEEE SOMEONE ANSWER THIS IS URGGEENNNTTTT!!!!!!!!!!!!!!!!!!!!! I'LL EVEN GIVE YOU BRAINLIST!!!!!!!!!!!!!!!!!

Candice has a bag with 4 green, 7 orange, and 9 blue Skittles in it. She randomly selects one Skittle to eat and then another. Is this dependent or independent probability?

A. independent
B. dependent

Answers

Answer:

Step-by-step explanation:

1. Which situation could be represented by y = 4x + 7?
a student started with $4 and saved $7 per week.
A package costs $7 plus $4 per pound to ship.
A skateboard weighs 4 pounds plus 7 ounces.
A recipe calls for 7 cups of flour and 4 cups of sugar.

2. What is the equation of the line through (5,8) and (2,2)?
y = 2x + 2
y = 2x - 2
y = 5x - 8
y =8x - 5
3. The slope of a line is -1/3 and the y-intercept is 3. What is the equation of this line?

y = 1/3 + 3
y = -1/3 + 3
y = 3x - 3
y = 3x - 1/3

4. What is the equation of the line that has a slope of 2 and goes through (3,7)?

y = 2x + 3
y = 1/2x + 7
y = 2x + 1
y = -2x + 1

5. Sammy is saving up to buy a PS5 plus. He has $40 and will save $60 per week. Which equation represents this situation?
1 point
y = 40x + 60
y + 60x + 40
y = 60x - 40
y = 40x - 60

6. Sammy is saving up to buy a PS5 plus. He has $40 and will save $40 per week. How long will it take Sammy to save the money if the PS5 plus costs $600?
11 weeks
12 weeks
13 weeks
14 weeks

7. Steph made $360 working 30 hours last week. Sam made $195 working 15 hours last week. Who made more per hour?
Steph
Sam

Answers

Answer:

B, A package costs $7 plus $4 per pound to ship. B, y = 2x - 2 B, y = -1/3x + 3 C, y = 2x + 1 B, y = 60x + 40 D, 14 weeks (600 = 40 + 40x)Sam, ($13hr)

i hope this helps, good luck :)

Question 3 (5 points)
Use the graph to solve the system of linear equations.
Оа
(-4,-4)
Ob
(-1.5,-1)
ос
(2,0)
Od
(-2,-2)

Answers

Answer:

D

Step-by-step explanation:

(-2,-2) is where both the lines intersect

82- 2to the third power.5 please help!

Answers

Answer:

240

Step-by-step explanation:

82-2= 80 to the third power so just multiply 80 x 3 and you have your answer.

Answer:

512000 (square root of it is 712.5)

Step-by-step explanation:

82 -2 = 80

80^3

= 80*80*80

= 80^3

= 512000 (square root of it is 712.5)

Let me know if this was helpful!!

Pls help! Brainliest!!!A horse has a speed of 10 miles per hour. The horse has traveled 15 miles. How many miles will it travel in total if it rides for another 4 hours?

___ miles

Answers

Answer:

10×4 = 40

Given,

already travelled 15 miles

so,

40+15

55 miles

Therefore, The It travels 55 miles

HELP MEE! WILL MARK BRAINLIEST, NEED ALL 4 ANSWERS

Answers

Answer:

1. 7 , 2. 4, 3. 29, 4. 71

Step-by-step explanation:

answer 1 is 7
answer 2 is 4
answer 3 is 29
answer 4 is 71

(i may be wrong...)

Graph a line with a y-intercept of 3 and containing the point (2, 5).

To graph a line, plot two points on the line.

Answers

Answer:

click on the thanks

what is 2 times 5 minus 1

Answers

what is 2 times 5 minus 1?

9

Multiple Choice The Astrodome-in Houston, Texas, is circular and has a diameter of 710 feet. What is the approximate circumference of the Astrodom​

Answers

Answer:

Step-by-step explanation:

[tex]C=\pi d\\ \\ C=710\pi ft\\ \\ C\approx 2230.5 ft[/tex]

Answer:

2230.53

Step-by-step explanation:

i need help please!!

Answers

20(5)+12(40)
100+480= 580
Answer is 580 because I did this problem a couple times as a warm up

A caterpillar eats 1400\%1400%1400, percent of its birth mass in one day. The caterpillar's birth mass is mmm grams.
Which of the following expressions could represent the amount, in grams, the caterpillar eats in one day?
Choose 2 answers:
sorry, I just copied and pasted and it gave me extra numbers.
by the way, this is for khan academy

Answers

Answer:

I d k

Step-by-step explanation:

Answer:

The correct answer is B and E.

Step-by-step explanation:

I did it in Khan Academy.

A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The height of the airplane above ground after t seconds is given by the equation h=-16t^2+56t+1 where h is the height of the airplane in feet and t is the time in seconds after it is launched. Approximately how long does it take the airplane to reach its maximum height?
A)0.3 seconds
B)1.8 seconds
C)3.5 seconds
D)6.9 seconds

Answers

Answer: I think is none

Step-by-step explanation:

Tbh

Isabella deposited $500 into a savings account at a local bank that earned 5% interest per year. How much interest does she earn in her first year?

Answers

Answer:

$25

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

putting time into years for simplicity,

12 months ÷ 12 months/year = 1 years,

then, solving our equation

I = 500 × 0.05 × 1 = 25

I = $ 25.00

The simple interest accumulated

on a principal of $ 500.00

at a rate of 5% per year

for 1 years (12 months) is $ 25.00.

15 1/3 - 5 7/9 = 10 1/3 - 7/9​

Answers

Answer:

true

Step-by-step explanation:

Can anyone help me pls???

Answers

Answer:

It's

Step-by-step explanation:

9a-3b

because 3×3a is 9a and 3×-b is -3b hope this helps

Answer:

8) A   9) B

Step-by-step explanation:

For question 8 just combine like terms, combine the numbers that have the same variables. Number 9, distribute the 3 to the rest of the equation.

Hope this helped :)

what% of $700,000 = $525,000

Answers

Answer:

$525,000/$700,000×100%=75% is required %.

Which expression is equivalent to 16^2 − 36? (Explain)

A. 4(2 − 3)(2 − 3)
B. 4(2 + 3)(2 − 3)
C. (4 − 6)(4 − 6)
D. (4 + 6)(4 + 6)

Answers

Answer:

4(2x-3)(2x + 3)

Step-by-step explanation:

Here, we want to simplify the given expression

we can have;

16x^2-36

= 4(4x^2 -9)

we can use the difference of two squares

where;

a^2 - b^2 = (a-b)(a + b)

= 4(2x-3)(2x+ 3)

2g(4g+3)+g(g-7) expand linear brackets​

Answers

Answer:

7g^2 - 13g

Step-by-step explanation:

2g(4g+3)= 8g^2 + 6g

g(g-7)+ g^2 - 7g

8g^2 + 6g = g^2 - 7g

7g^2 = -13g

WHAT IS THE VALUE OF X PLEASE HURRY!!!!

Answers

Answer:

I think 48, since it's an equilateral triangle.

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

cuz its a equilateral triangle

Simplify:
3 (2x — 2) — 2 (x — 2)

Answers

Answer:

4x-2

Step-by-step explanation:

Answer:

4x-2

Step-by-step explanation:

3(2x-2)-2(x-2)

Use the distributive property

6x-6-2x+4

Combine like terms

4x-2

When looking at a rate table for supplemental term life insurance, what are the rates based on?
a. where the insured was born
b. the marital status of the insured
c. where the insured lives
d. the age of the insured

Answers

All of the above but the most important is d: the age of the insured

Answer:

d. the age of the insured

Step-by-step explanation:

The primary unit for figuring out a life insurance rate is the rate per thousand

Other Questions
Raheem's entire workout consisted of 15 minutes of warm-up exercises, 30 minutes of lifting weights,and 45 minutes on the treadmill.What is the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout? a. 1:1. b. 1:3. c.1:9. d.3:10 Graph a line with a y-intercept of 3 and containing the point (2, 5).To graph a line, plot two points on the line. Question 3 (5 points)Use the graph to solve the system of linear equations.(-4,-4)Ob(-1.5,-1)(2,0)Od(-2,-2) For the most part, passengers in first or second-class accommodations disembarked in New York and entered the United States.Those in third class or "steerage" had a very different experience throughout the journey. First, they were crammed below deck in filthy conditions with everything they owned.From the port in New York, they were ferried to Ellis Island, where they might be held for hours, days, weeks, and in some cases months. The point of the inspections was to identify undesirables, such as those with a criminal record, the mentally ill, or those who could not support themselves financially. It was a frightening experience for the travelers.Which best describes the authors purpose in this excerpt?to demonstrate the difficult conditions many immigrants facedto describe the different sections of ocean liners in the 1800sto show why many people were reluctant to come to Americato explain how immigration has changed since the 1800s Simplify:4y + (2y 4) What was one result of the rise of Napoleon? A. The French Revolution began. B. Germany was united. C. Nationalism spread in lands conquered by Napoleon. D. For a short time, all of Europe was united under a single ruler. 6. Which of the following best describe the graph of linear inequalities in twovariables?A. Straight lineC. Half-planeB. ParabolaD. Half of a parabola7. Which of the following inequalities is represented by the givengraph?A. 2x + 2y > 2C. 3x + 2y > 2B. 3x + 2y = 2D. 3x - 2y < 218. An inequality using a < or > has a line.A. horizontalC. solidB. brokenD. vertical(h).9. Which is the correct inequality for the shaded region?A. y = - x - 1C. y > -x - 1B. y x - 110.What type of line and what way would you shade with the sign " Can anyone help me pls??? Which Athenian opened a school called the academy A. EuripidesB. AristotleC. SocratesD. Plato If y varies inversely as x, and y =14 when x=8 , find y when x=7 Find the volume of a pyramid with a square base, where the perimeter of the base is 8.7ft and the height of the pyramid is 9.2Round your answer to the nearest tenth of a cubic foot. Write about a person or activity that makes you feel inspired . help mee Compare and contrast the composition of DNA and RNA DNA and RNA both have________ DNA has _______________,but RNA has _______________insteasd Can someone please help i will mark brainliest i need help asap. You are standing at 41 degrees North Latitude. Your classmate is at 12 degrees South Latitude. Which one is closer to the Equator? I would grateful please help with this question What does 75% mean?What does 2 out of 5 mean?What does 1 out of 2 mean?If you get a 60% on a test, what was yourScore? If you got 1 wrong on a test that had 5 questions, how did you do? Can someone help me? Can somebody give me some help with this Spanish work? If you could that'd be much appreciated! Thank you as always!!! what is meaning of tarnat