If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is what?

Answers

Answer 1

we can change cos to sin by saying cosx=sin(90-x)

now we drop sin and make the angles equal (nothing needs to be added or subtracted since its in the first quadrant)

90-x=20+x+k.360.......kEZ (k is an element of set of integers) (we say k.360 if it's cos and sin and k.180 if it's tan)

-x-x=20-90+k.360........kEZ

-2x=-70+k.360.........kEZ

divide all terms by -2

x=35-k.180.......kEZ

Answer 2

Answer:

x=35°

Step-by-step explanation:

If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is 35°.


Related Questions

Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/4m​

Answers

Answer:

4

Step-by-step explanation:

Looking at the fractions, -3/4 and 1/2 and 1/4, you can see the LCD or least common denominator is 4.

Thus you get -3, 2, and 1 respectively by multiplying each fraction by 4.

Pls Find the value of x

Answers

[tex]x + 104 + 28 = 180 \\ (140 + 28 = 132) \\ x = 132[/tex]

[tex]\sf\longmapsto x + 104 + 28 = 180[/tex]

[tex]\sf\longmapsto x = (104 + 28) = 132[/tex]

[tex]\sf\longmapsto x = 132[/tex]

PLEASE ANSWER ILL GIVE 5 STARS AND A HEART!!!

Answers

Answer:

120

Step-by-step explanation:

5x6 = 30

30x4= 120

How many solutions does this system have?
y = 2/3x + 3

2x - 3y = -9


A. one solution (what i think) ****

B. two solutions

C. no solutions

D. infinitely many solutions

Answers

Answer:ONE solution.

Step-by-step explanation:

what is the value of x in x(a+b)=b(c-x)​

Answers

Answer:

x = [tex]\frac{bc}{a+2b}[/tex]

Step-by-step explanation:

x(a + b) = b(c - x) ← distribute parenthesis on both sides

ax + bx = bc - bx ( add bx to both sides )

ax + 2bx = bc ← factor out x from each term on the left side

x(a + 2b) = bc ← divide both sides by (a + 2b)

x = [tex]\frac{bc}{a+2b}[/tex]

$12,500 is invested, part at 9% and the rest at 5%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 5% by $486.00, how much is invested at each rate?

Answers

Answer:

$1,538.00

Step-by-step explanation:

PLS HELP
A line passes through (5, 3) with a slope of 3/5. Plot at least 3 points on this line

Answers

three points would include (0,0), (6,10), (9,15) (-3,-5)

Stacy is driving at a speed of 48 miles per hour. How many feet is she travelling per minute?

Answers

48(miles/hour)*(1 mi/5280 ft)(1 hour/60 min)
-----
= (48*1*1)/(1*5280*60)(ft/min)

In one serving of a fruit smoothie, the ratio of the number of ounces of water to the
number of ounces of fruit is 3 to 4.
Drag the numbers into the table to show how many ounces of water and fruit are
needed for different numbers of servings.

Answers

i don’t believe you attached any pictures to this question so i don’t know exactly what kinds of different servings you want, however some examples would be

water:fruit
3:4
6:8
9:12

and such other multiples

The ratios of ounces of water and fruits for different servings are:

1 serving = 3/4

2 servings = 6/8

3 servings = 9/12

4 servings = 12/16

5 servings = 15/20

What is a ratio?

A ratio is an ordered pair of numbers a and b.

It is written as:

a / b

where b does not equal 0.

A proportion is an equation in which two ratios are set equal to each other.

We have,

In one serving:

= 3/4

The ratio of ounces of water to the ounces of fruit is 3/4.

In every number of servings, the ratios must be in proportion so,

We have the following cases:

2 servings:

= 3x2 / 4x2

= 6/8

3 servings:

= 3x3 / 4x3

= 9/12

4 servings:

= 3x4 / 4x4

= 12/16

5 servings:

= 3x5 / 4x5

= 15 / 20

Thus the ratios of ounces of water and fruits for different servings are:

1 serving = 3/4

2 servings = 6/8

3 servings = 9/12

4 servings = 12/16

5 servings = 15/20

Learn more about ratios and proportions here:

https://brainly.com/question/26974513

#SPJ5

Does anyone know how to do this?

Answers

Answer:

∠ GFC = 67°

Step-by-step explanation:

The sum of the 3 angles in Δ BCF = 180° , then

∠ FCB + 73° + 40° = 180°

∠ FCB + 113° = 180° ( subtract 113° from both sides )

∠ FCB = 67°

∠ GFC and ∠ FCB are alternate angles and are congruent , so

∠ GFC = 67°

Ok done. Thank to me :>



(2x + 3y)^2– (2x – 3y)^2

Answers

Hi,

(2x + 3y)² - (2x - 3y)²

(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²

= [(2x)² + 2x*3y + (3y)²] - [(2x)² - 2x*3y + (3y)²]

= (4x² + 6xy + 9y²) - (4x² - 6xy + 9y²)

= 4x² + 6xy + 9y² - 4x² + 6xy - 9y²

= 12xy

I hope it helped ✅(◠‿◕)

Help with this polynomial problem.​

Answers

Answer:

i cannt see it

Step-by-step explanation:

Can someone help me on this math problem please

Answers

Answer:

  CPCTC

Step-by-step explanation:

In each case the half-angles resulting from bisecting the angles are corresponding parts of congruent triangles, hence congruent themselves. (CPCTC)

When a segment divides an angle into two congruent parts, it is an angle bisector.

If a function is restricted, is there no end behavior?

Answers

Answer:

If a function is restricted, it still has an end behavior!!!

Step-by-step explanation:

Let's say we have f(x)=(x-4)^2, x≥4.

If this function is graphed, we can see that the line starts at (4,0). It only has one side to it.

This means that it is restricted on the left side. In other words, x has to be greater than or equal to 4.

However, just because this function is restricted doesn't mean it doesn't have an end behavior!

As we can see, the graph continues on into eternity. As a result, we can write the end behavior as:

x --> ∞, f(x) --> ∞

There is no end behavior for the left side because that's where the graph is restricted.

Hope this helps!

Air is being pumped into a spherical balloon at the rate of 7 cm3/sec. What
is the rate of change of the radius at the in stant the volume equals 36π cm3
? The volume of
the sphere of radius r is (4 over PI )r power of 3

Answers

Answer:

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi r^3\\\frac{dV}{dt} =\frac{4}{3} ~\pi \times ~3r^2\frac{dr}{dt} \\\frac{dV}{dt} =4\pi r^2\frac{dr}{dt} \\7=4\pi r^2\frac{dr}{dt} \\\frac{dr}{dt} =\frac{7}{4\pi r^2} \\when~V=36 \pi cm^3\\36\pi =\frac{4}{3} \pi r^3\\r^3=\frac{36\pi \times 3}{4\pi } =27=3^3\\r=3~cm\\\frac{dr}{dt} =\frac{7}{4\pi \tmes 3^2} \\\frac{dr}{dt} =\frac{7}{36 \pi } cm/sec[/tex]

What is the slope of the line?

Answers

Answer:

-1/2

Step-by-step explanation:

Pick 2 points on the line, that are real whole numbers. I used (-3,-3) and (-1,-4)

Calculate the slope using rise over run. -4-(-3)=-1

                                                                  -3-(-1)=2

Or, after choosing the dots, you can make a triangle

Anna spent 8 hours reading a book. This is twice as long as Kim spent reading her book. Write an
equation that can be used to find the number of hours, h, Kim spent reading her book.

Answers

Answer:

8x2=h

Step-by-step explanation:

Answer:

8 ÷ 2 = h

Step-by-step explanation:

Since we know that 8 hours is two times the amount of time Kim read her book we know we have to divide 8 by 2 to get the answer for h.

have a good day/night

Determine the quotient of 4/5 divided by 4

Answers

It would be 0.2

Mark as brainliest

Answer:

it will probably be 1/5

hope I am correct and sorry if not.

What is 29−−√?

What 2 numbers does it fall between when placed on a number line?

Question 5 options:

Between 5 - 5.5


Between 4 - 4.5


Between 4.5 - 5


Between 5.5 - 6

Answers

Between 5 - 5.5
Hope this helps.

A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?

Answers

Answer:

12

Step-by-step explanation:

It took Corinne 3 hours to do 12 pages of homework. How many pages of homework did she do per hour?

Answers

Answer: Check explanation.

Step-by-step explanation: If Corinne did 12 pages in 3 hours, then for each hour we have 12 by 3. We get 4, which means that every 1 hour she does 4 pages of homework. Hope this helped!

hello comment anything

Answers

I like anime and sleeping✌

Answer:

i like food, money, and games

Step-by-step explanation:

E

The speed of a train is 90 km per hour so how much will it be in m /s .​

Answers

Answer:

90km/h in m/s will be

90×1000m/3600s ( convert 1km/1h to 1000m/3600sec )

=> 25m/s

we have: 90 km/h =  90 ÷ 3,6 = 25 m/s

Ok done. Thank to me :>

PLEASE HELP!!!!!!!!!!!!! ASAPPP

Answers

Answer:

JO !

Step-by-step explanation:

get he exponet out the way

\

that leaves you with 3+4x1

do 4x 1 that equals 4

3+ 4 = 7

Hey there!

3 + 4 × 1^2

= 3 + 4 × 1

= 3 + 4

= 7

[Jo is correct] whereas Mia is incorrect because she misunderstood the question.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Which of the following function pairs are inverses? ​

Answers

it’s B: f(x) = 5x +3 and g(x) = (x+3)/5

What is the probability that Tom, Ana, and Julio will all win if there are
four candidates chosen for four seats? There are still ten candidates
running.

Answers

Answer:

1/30

Step-by-step explanation:

What is the vertex of f(x) = 3Ix-2I +4?

Answers

Answer: (2,4)

Step-by-step explanation:

Vertex

|0-2| = 0

|-2| = 0

The graph is shifted 4 units up so therefore (2,4) is the vertex

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).


Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points)

Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are related. (4 points)

Answers

The Cartesian coordinate plane, specify locations by a pair of coordinates that indicate the magnitude in perpendicular, x, and y directions

The correct responses are;

Part A: The starting point is in the second quadrant and the finishing point is in the fourth quadrant.Part B: The starting point and the check point are on different quadrant. Both points are on the same horizontal line.

Reasons:

The location of the start point of the race = (-5.3, 1)

Location of the finishing point = (1, -5.3)

Part A: The signs of the x and y-values in the quadrants are;

[tex]\begin{tabular}{|cc|c|}Quad II, x -ve, y +ve&&Quad I, x, and y are +ve\\&&\\Quad III, x -ve, y -ve&&Quad IV, x +ve, y -ve\end{array}\right][/tex]

The coordinates of the starting point is (-5.3, 1), therefore, given that the x-

coordinate is negative and the y-coordinate is positive, the quadrant of the

starting point is quadrant II (the second quadrant).

The quadrant of the starting point is the second quadrant.

The coordinates of the finishing point is (1, -5.3), the x-value is positive and

the y-value is negative, which indicates that the quadrant of the finishing

point is quadrant IV (the fourth quadrant).

The quadrant of the finishing point is the fourth quadrant.

Part B: The location of the checkpoint is; (5.3, 1)

The difference is that the x-value of the checkpoint is positive while the x-value of the starting point is negative, and they are therefore on different quadrants.

The similarity is that, the magnitude of the x, and y values of the coordinates of the check point and the starting point are the same. Therefore, the checkpoint and the starting point are on the same horizontal line.

Learn more about the Cartesian coordinate plane here:

https://brainly.com/question/17877300

https://brainly.com/question/16177011

I need Someone to help me with this problems equation and answer must be correct (100 Points)

Answers

Answer:

1) 3x+18=45       x=9

2)8-5x=-7          x=3

3)3+2x=15         x=6

4) 12million - 2 million  = 10 million

Step-by-step explanation:

What’s is log17 divided by 4

Answers

Answer:

log(17 1/4)

Step-by-step explanation:

Other Questions
Choose the word that does not belong in each group.une cl USBun disque durun fichier ---- this oneChoose the word that does not belong in each group.un portable ---- this oneune sourisun fichierChoose the word that does not belong in each group.un cranune tlcommandeune imprimante --- This oneChoose the word that does not belong in each group.composerdmarrerallumer ---- this oneChoose the word that does not belong in each group.marcherajouter --- this onefonctionnerChoose the word that does not belong in each group.un logiciel --- this oneun enregistreur DVRune chane de tlvisionChoose the word that does not belong in each group.un rseau socialune page d'accueil --- this oneun texto which is one way that sinkholes can form? A. Rivers overflow during a storm and wash away nearby land. B. Groundwater dissolves the limestone and other rocks in the ground. C. Rainwater flows away from a depression in the ground. D. Tornadoes touch down and destroy tress and brush Online, it is easy to think of communication as "computer to" rather thantoa. person, computer, personb. computer, person, computerC person, person, persond computer, person, person.Please select the best answer from the choices providedB What is a related organism from a previous generation? A contract or ________ stipulates in writing all the client's requirements and gives all of the relevant information. Sarah consumes approximately 2000 kcal/day. According to recommendations of the Dietary Guidelines for Americans, she should limit her saturated fat intake to fewer than ________ kcal/day. Multiple Choice 200 250 450 350 what plant organelle does photosynthesis take place in? 6. Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank after 2 trips to the grocery store. can help my little bro What is the measure of the angle in the polygon shown below?A.B.C.D. Joshua's assignment this weekend is to read a book with seventy-four pages. On Saturday he read thirty pages. How many pages does he need to read on Sunday? Boris has 10 pairs of jeans, 15 T-shirts, and 7 sweaters in his closet. Write the ratio of sweaters to pairs of jeans using a colon.Brainliest to a person who gets it right. I NEED ANSWER ASAP PLEASE NOW ITS DUE IN 20 MINS! The formula to find the area of a triangle is A = { bh where b=base and h=height. Rearrange theequation to highlight b, the base of the triangle, in terms of the area and height. Which system of equations is equivalent to the following system? 3x 5y = 29 x 4y = 16 3x 5y = 29 x 4y = 16 3x 5y = 29 3x 12y = 48 3x 5y = 29 x 4y = 16 9x 15y = 87 x 4y = 16. A student catches a can of soda dropped from some unknown height by Mr. Fineman. Ifthe can was dropped from rest, and it is traveling at 8.9 m/s before it arrives in thestudent's hand... can you get food poisoning from people? You have a Rectangle with sides of 5ft and 8ft; solve for its perimeter and area. will mark brainliest (NO LINKS OR ANSWERS WITHOUT EXPLANATION) China under the Han dynasty grew wealthy because theyA) Developed extensive trade networksB) Created classes societiesC) Encouraged democratic idealsD) Established free-market economies