If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?
A. f=3
B. f=4
C. f=5
D. f=6

Answers

Answer 1

Answer:

f = 3

Step-by-step explanation:

Given the equation cos(22f − 1) = sin(7f + 4), the following steps must be followed in order to get the value of f;

From the trigonometry identity, sin(90-theta) = cos theta.

cos(22f-1) = sin (90-(22f-1))

cos(22f-1) = sin (90-22f+1)

cos(22f-1) = sin (91-22f)... 3

substituting eqn 3 into the original equation given, we will have;

sin (91-22f) = sin(7f + 4)

91-22f = 7f+4

7f+22f = 91-4

29f = 87

f = 87/29

f = 3


Related Questions

Solve : -6n + 5 < 11
Which graph shows the solutions? ​

Answers

-6n + 5 < 11

      - 5   - 5        subtract 5 on both sides.

_________

[tex]\frac{-6n}{-6}[/tex] < [tex]\frac{6}{-6}[/tex]     divide -6 on both sides, -6 will cancel out on the left side.

[tex]n[/tex] > [tex]-1[/tex]

I believe the answer would be the first choice.

Answer:

The first choice

Step-by-step explanation:

ez

Select the correct answer from each drop-down menu. A restaurant is analyzing its customer satisfaction level. The manager performs an observational study of customers during the lunch hour on a Monday and draws the conclusion that most of the customers are satisfied with the service they receive. because the sample is v. In this instance, an study was The conclusion drawn from the study is conducted.​

Answers

Answer:

Not valid

Biased

inappropriate

Step-by-step explanation:

No actual study was done, only observation.

Answer:

not valid biased innapropriate

Step-by-step explanation:

plato users

Which sentence is true?

Answers

Answer:

B

Step-by-step explanation:

PLEASE HELP I NEED THE ANSWER NOW WILL GIVE YOU BRAINLEST

Answers

Answer:

your answer is C

Step-by-step explanation:

Answer:

D. x>8

Step-by-step explanation:

F(x)=p(x)/q(x) is called

Answers

Answer:

Rational function

Step-by-step explanation:

Rational functions usually have the form p(x)/q(x).

Where, p and q are said to be polynomials. The polynomial p(x) is referred to as the numerator while the polynomial q(x) is referred to as the denominator.

Can someone please help me?

Answers

Answer:

The answer is (-4,9)

Step-by-step explanation:

The other ones are not near the line (-8,-10) does not even fit on the screenshot. (-4,9) Is the only one that is on the line.

Find the Width of the Rectangular Prism.

Answers

Answer:

w = V/12 IN X= 840in then 840÷12 = 70in

A rectangular prism has 70in width having volume 840in³, length is 2in, and height 6in.

What is a rectangular prism?

A rectangular prism or a  cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

V = (l×w×h).

The total surface area of a cuboid is 2( lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, A rectangular prism has a volume 840 in³, its length is 2 in and its height is 6in.

Assuming width to be w in.

∴ (l×w×h) = volume.

(2×w×6) = 840.

12w = 840.

w = 70 in.

learn more about cuboid here :

https://brainly.com/question/19754639

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Happy valentines dayyyy math suckss help pleaseeeeeee

Answers

Happy Valentine’s Day and the answer is number 3

The function W(d)=0.112d approximates the amount, in centimeters, of water that results from d cm of snow melting. Find the amount of water that results from snow melting from depths of 12cm, 35cm, and 89 cm

Answers

Answer:

1.344 cm ; 3.92 cm ; 9.968 cm

Step-by-step explanation:

Given the function :

W(d) = 0.112d ; Amount of water in cm, that results from dcm of snow Melting.

Find the amount of water that results from snow melting from depths of 12cm, 35cm, and 89 cm

1.)

W(12) = 0.112(12) = 1.344 cm

2.)

W(35) = 0.112(35) = 3.92 cm

3.)

W(89) = 0.112(89) = 9.968 cm

question 1: Multiply and simplify.

x^2⋅x⋅x^5
(I got x^8 but I was unsure.)

question 2: Multiply and simplify.

(3x+7)8x^2

Answers

Answer:

question 1 = x7 and question 2 = 24x^3+56x^2 I'm pretty sure

what is the gcf of 10p²,15pq and 25q²​

Answers

Answer:

5p

Step-by-step explanation:

Question 7
Laura had 23 ounces of plant food. She wants to use the same amount of plant food each day on her garden. She wants to use all the plant food she has before buying more. Which statement is true?
If she uses plant food in her garden for 6 days, she uses
1
6
ounces of plant food each day
B
2
If she uses plant food in her garden for 10 days, she uses 2
23
ounces of plant food each day
Ounces of plant food each day
С
If she uses plant food in her garden for 8 days, she uses 3
8
8
1
D
If she uses plant food in het garden for 11 days, she uses 2 11 ounces of plant food each day

Answers

Answer:

(d) and (e) are true

Step-by-step explanation:

Given

[tex]Food = 23\ oz[/tex]

See attachment for proper presentation of question

Required

Select all true statements

For any option to be true, it must satisfy the following condition.

[tex]Days * Food = 23[/tex]

Option (a):

[tex]Days = 6[/tex]

[tex]Food = 4\frac{1}{6}[/tex] per day

So, we have:

[tex]Days * Food = 6 * 4\frac{1}{6}[/tex]

[tex]Days * Food = 6 * \frac{25}{6}[/tex]

[tex]Days * Food = 25[/tex]

This is not true because: [tex]25 \ne 23[/tex]

Option (b):

[tex]Days = 10[/tex]

[tex]Food = 2\frac{2}{23}[/tex] per day

So, we have:

[tex]Days * Food = 10 * 2\frac{2}{23}[/tex]

[tex]Days * Food = 10 * \frac{48}{23}[/tex]

[tex]Days * Food = \frac{480}{23}[/tex]

[tex]Days * Food = 21[/tex] --- approximated

This is not true because: [tex]21 \ne 23[/tex]

Option (c):

[tex]Days = 8[/tex]

[tex]Food = 3\frac{1}{8}[/tex] per day

So, we have:

[tex]Days * Food = 8 * 3\frac{1}{8}[/tex]

[tex]Days * Food = 8 * \frac{25}{8}[/tex]

[tex]Days * Food = 25[/tex] --- approximated

This is not true because: [tex]25 \ne 23[/tex]

Option (d):

[tex]Days = 11[/tex]

[tex]Food = 2\frac{1}{11}[/tex] per day

So, we have:

[tex]Days * Food = 11 * 2\frac{1}{11}[/tex]

[tex]Days * Food = 11 * \frac{23}{11}[/tex]

[tex]Days * Food = 23[/tex] --- approximated

This is true because: [tex]23 = 23[/tex]

Option (e):

[tex]Days = 7[/tex]

[tex]Food = 3\frac{2}{7}[/tex] per day

So, we have:

[tex]Days * Food = 7 * 3\frac{2}{7}[/tex]

[tex]Days * Food = 7 * \frac{23}{7}[/tex]

[tex]Days * Food = 23[/tex] --- approximated

This is true because: [tex]23 = 23[/tex]

Warmup 2/16/21(create a table to compare the 2)
.
If you were babysitting, would you rather
Charge $5 for the first hour and $8 for each additional
hour?
bry
SY
.
Or
Charge $15 for the first hour and $6 for each additional
hour?
ebo...
Explain your reasoning.
ng

Answers

The 1st one because you get more money out of it

what is 5/9 + 1/3? (please show your work)

Answers

Answer:

8/9

Step-by-step explanation:

First: Turn the 1/3 in 3/9 (You have to find the common denonminator or bottom number in a fraction)

Second: add (3/9 + 5/9= 8/9)

Answer: 8/9

(Brainliest??)

The value of the fractional expression 5/9 - 1/3 will be 17 / 3.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

5/9 and 1/3

Then the difference between the numbers 5/9 and 1/3 will be given by putting a minus sign between them. Then we have

⇒ 5/9 - 1/3

⇒ (5 - 3) / 9

⇒ 2 / 9

The value of the fractional expression 5/9 - 1/3 will be 17 / 3.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Brainly so you better do it right

Answers

Answer:

Step-by-step explanation:

3/32 i did it on my paper then the calculator. please mark me brainliest!!!

Find the value of x.

Answers

Answer:

i think x is 36

Step-by-step explanation:

3x + 2x = 180

List 3 values that would make this inequality true.

Answers

Answer: n < 2, n < 1

Step-by-step explanation:

help i need help ASAP

Answers

Jane : 6

Lane : 3

Neesa : 213

So I think Jane is 6 inches tall or 1-1/5

My answer can be incorrect also so refer to Chrome too.


Twenty-one students took a mathematics test. The 11th highest score on the test was a 76. Which of the
following statements must be true?

A.The mean of the scores was 76

B.The range of the test scores was 11

C.The median of the test scores was 76

D.The mode of the test scores was larger than 76

Answers

Answer:

C. The median of the test scores was 76

Step-by-step explanation:

The median is the middle value. In 21 values, the 11th value is the middle value, so it must be the median.

Answer: C. The median of the test scores was 76

give the person above me Brainliest

they deserve it                                                                :D

I think that they would be greatful lol

I need help on this question below

Answers

I think it’s the Second one

solve for X: x + 2 (1.5x - 6) = 16 (IF YOU CAN PLEASE TELL ME HOW TO SOLVE QUESTIONS LIKE THIS)

Answers

4x - 12 = 16) 4x -12 + 12 = 16 + 12) 4x = 28) 4x/4 =28/4) x = 7

Answer:

x=7

Step-by-step explanation:

You multiply the 2 with what is inside of the parenthesis so 3x-12

x+3x-12=16

then you add x +3x =4x

4x-12=16

then you add 12 to both sides

4x=28

then you divide by 4 on both sides

x=7

Identifying Proportional Relationships

Which graph represents a proportional relationship?

Answers

Answer:

There aren't any graphs that you attached so i can't see which one is a proportional graph, but the one that is going up by a constant proportional rate of change would be the proportional graph.

Proportional relationship graphs always start at the point 0 for x and y. The line always crosses through to origin. 0

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Answer:

THERE are no graphs

Step-by-step explanation:

.
What is cot(A)?
0 37
7
3,2
7
O 37
O 32
7
0 31

Answers

Answer:

may I see a photo?

Step-by-step explanation:

Answer:

its A -3 (squareroot of 7)/7

Step-by-step explanation:

Write an equation in slope intercept form given:
Slope = 1/2
y-intercept= -8

Answers

Answer:

y= 1/2x - 8

Step-by-step explanation:

Ben just walked into Best Buy and saw the TV of his
dreams! It's a 60 inch 4K Smart TV that is on sale for
$550. What a bargain! How much will Ben have to pay in
tax (MA sales tax is 6.25%)?
Be sure to LABEL your answer!
(Note: with sales tax problems, you may need to round
your answer to the nearest penny.)

Answers

Answer:

$6.30

Step-by-step explanation:

box there are 10 blue marbles for every 35 red marbles what is the reduced ratio of red marbles : blue marbles​

Answers

10:35, both are divisible by 5
2:7


I’m confused, any help?

Answers

Answer:

D

Step-by-step explanation:

Trust me its D because to equal f(x)--->Inf., you need to have x equal a negative

D hope this helps your welcome

Write the expression with a factor of -1.

-3y
-x-y
-6+5b
3-8m

Answers

15b + 22ym = 15 is the answer

One side of triangle is 7 more than 2 times the shortest side. the third side is 14 feet more than the shortest side. the perimeter is 65. Find all 3 sides.

Answers

Answer:

2

Step-by-step explanation:

hg

Given the expression 2(3x + 1), what would be the resulting equivalent expression after the distributive property is applied?

Answers

Answer:

6x + 2

Step-by-step explanation:

2(3x + 1)

Multiply 2 with 3x and 1.

6x + 2

Answer:

6x + 2

Step-by-step explanation:

2 x 3= 6

2 x 1= 2

Other Questions
Add nouns to each of these verbs to make complete sentences.Example: Dogs bark._____ chirp. _____ purr. _____ run._____ climb. _____ fly. _____ sleep. _____ neigh. _____ crow. _____ ring. _____ whistle. The eight intelligences are: Word smart. Number/Logic smart Picture smart Body smart Music Smart People smart Self smart Nature smart PLEASE NOTE: we ALL have ALL of these intelligences to some extent. Even if we dont like reading or writing, we know how to talk and use words; if we dont like Math, we know that 2 + 2= 4, and that 60 minutes is longer than 10 minutes; if we are not great artists, we all can doodle. Here are a few more things about each of the intelligences: Word smart: Books are important, word games (Scrabble, Words with friends, Anagrams) are fun, tongue twisters, nonsense rhymes, puns are fun, you have a good vocabulary, you have written some thing (s) that you are proud of. Language Arts and Social Studies are easier than math or science, learning another language is relatively easy. Number/Logic smart: you can compute numbers in your head, you enjoy brain teasers or games that require logical thinking, your mind searches for patterns, regularities, or logical thinking, Math and/or Science are easier than Language Arts or Social Studies. You enjoy new developments in technology and science, you pay close attention to graphs, statistics, and charts. I like when things are measures/analyzed/categorized/ quantified. Picture Smart: You can see clear visual images when you close your eyes; you have strong opinions concerning colors; you like taking photos or video; you enjoy jigsaw puzzles, mazes, or other visual puzzles; you have vivid dreams at night; you like to draw or doodle; you prefer reading material with a lot of pictures or illustrations; you can imagine how something would look from a birds eye view. Body Smart: you engage in at least one sport or physical activity on a regular basis, you enjoy playing sports, you are well coordinated, you find it hard to sit still for long periods of time, you enjoy hands-on activities like sewing, carpentry, model building, LEGOS; you like physical activities, you have a strong sense of touch and feel, you get your best ideas when walking, jogging, or doing something physical. You need to practice a new skill rather than just read about it or watch a video about it. YOu use hand gestures or body language when conversing with others. Music Smart: you enjoy singing, you can tell when a note is off key, you listen to music in your spare time, you play at least one musical instrument, you have tunes running through your mind, you can easily keep time to a piece of music with the drum, you have a good sense of rhythm, you know a lot of songs. People Smart: people come to you for advice, you prefer group sports to solo sports, you have at least three close friends, you go to other people for advice rather than work it out yourself, you enjoy social games like monopoly or cards over individual games, you enjoy teaching others how to do something, you are considered a leader - or think of yourself as one, you are comfortable in the middle of a crowd. Self Smart: you regularly spend time alone meditating, reflecting, or thinking. You are resilient in the face of setbacks, you think about your goals and how to reach them regularly, you have a realistic view of your strengths and weaknesses, you consider yourself strong willed or independent minded, you keep a diary, you are more comfortable by yourself than in the middle of a crowd, you have a special hobby or interest that few people know about. Nature Smart: you like backpacking, hiking, or walking in nature; you love having animals around the house, you are worried about the environment, you enjoy books, magazines, or television shows about nature, you like zoos or aquariums, you enjoy gardening. You are good at telling the difference between types of trees, dogs, birds and / or other plants and animals. 11. "These potato chips were so good, he had to hold himself back fromgrabbing them by the handful." Which figurative language device is beingused with "to hold himself back"?A.SimileB.metaphor C.personificationD.idiom What is your best characteristic/quality? And whats your worst characteristic/quality? The table shows information about all students doing GCSE's at a school. Year 10Year 11TotalGirls: 90 60 150Boys: 60 80 140Total: 150 140 290What fraction of the boys are Year 11?Give your answer in its simplest form solving equation with integers add/sub 7. To what Super group does the ameba belong? 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Il ma remis un paquet sur taient crits quelques mots. 2x 3y =-113x +2y =29 Which step is irrelevant to investigating a foodborne-illness outbreak?A. identifying people affected by the outbreak in the investigationB. finding the source of food and point of contaminationC. generating hypotheses for the outbreakD. firing employees before the investigation The Black Death occurred just after the Hundred Years' War ended.Please select the best answer from the choices providedTFHurry! >:c Perfect and Major Intervals Worksheet help. Will Give Brainleiest!!! What year was Nelson Mandela jailed and when was he released Simplify the expression:8g23g2+g2 6. Explain why mud was so important to Sumerians. What is 2+1 -6 +29 x3 Laurens SUV was detected exceeding the posted speed limit of 60 kilometers perhour, how many kilometers per hour would she have been traveling over the limit if shehad covered the a distance of 10 kilometers in 5 minutes?