if sin=3/5 then what does tan equal

Answers

Answer 1

Answer: [tex]tan(x)=\±\frac{3}{4}[/tex]

Step-by-step explanation:

You know that [tex]sin(x)=\frac{3}{5}[/tex] and you can identify that. Then:

[tex]sin^2(x)=(\frac{3}{5})^2[/tex]

[tex]sin^2(x)=\frac{9}{25}[/tex]

Remember that:

[tex]cos^2(x)=1-sin^2(x)[/tex]

Then [tex]cos^2(x)[/tex] is:

[tex]cos^2(x)=1-\frac{9}{25}\\\\cos^2(x)=\frac{16}{25}[/tex]

Apply square root to both sides to find cos(x):

[tex]\sqrt{cos^2(x)}=\±\sqrt{\frac{16}{25}}\\cos(x)=\±\frac{4}{5}[/tex]

Remember that:

[tex]tan(x)=\frac{sin(x)}{cos(x)}[/tex]

Then, this is:

[tex]tan(x)=\frac{\frac{3}{5}}{\±\frac{4}{5}}[/tex]

[tex]tan(x)=\±\frac{3}{4}[/tex]


Related Questions

A line has gradient -2 and y-intercept 5. Find its x-intercept. Please help ASAP!!

Answers

Answer:

x =  2.5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

here m = - 2 and c = 5, so

y = - 2x + 5 ← equation of line

To find the x- intercept let y = 0, that is

- 2x + 5 = 0 ( subtract 5 from both sides )

- 2x = - 5 ( divide both sides by - 2 )

x =  2.5 ← x- intercept ⇒ (2.5, 0 )

The pentagon shown could be reflected over which line to be carried onto itself?

Answers

Answer:

paraell

Step-by-step explanation:

What is 2x2x2 equal to?

Answers

Answer:

The answer is 8.

Step-by-step explanation:

Go from left to right.

2x2x2

Take the first two numbers: 2 x 2; this equals 4.

Take that number and multiply by the next number (2): 4 x 2 = 8

Hope this helps! :)

The value of 2 x 2 x 2 using the multiplication operation gives the result 8.

The expression 2 x 2 x 2 represents the multiplication of three 2's together.

To simplify the expression, perform the multiplication operation:

= 2 x 2 x 2

= 4 x 2

= 8

Therefore, 2 x 2 x 2 is equal to 8.

In other words, multiplying three 2's together results in the value of 8.

This can be visualized as multiplying 2 by 2 to get 4 and then multiplying that result by 2 again to obtain 8.

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* George scored on average of 80% of three tests.
What scored must he get on the burth tests to
bring his average to 85%​

Answers

Answer:   100%

Step-by-step explanation:

100 + 80 + 80+ 80 = 340  (total scores of 4 tests)

340 divided by the number of tests 4 = 85

George would need to score 100% on his next test to bring his test average from 80 to 85.









At most, Sybil types 56 words per minute.
Which inequality represents this situation?

A.
w 56


B.
w 56


C.
w 56


D.
w 56

Answers

they are all the same???

Answer:

a

Step-by-step explanation:

deon is 4 years older than andy. Is the relationship between deon's age and andy's age a proportional relationship​

Answers

Answer:

Yes it is.

Step-by-step explanation:

It is increasing by 4 each year so it would be a linear graph if you know what I mean.

Consider the graph which function contains the points shown on the graph

Answers

Answer:

B, f(x) = 2x + 6 since y = mx + c

Answer:

Option: B is the correct answer.

The function is:

       B.        [tex]f(x)=2x+6[/tex]

Step-by-step explanation:

By looking at the graph we observe that the three points follow a linear path.

This means that there will exist a line that passes through these three points .

The line will pass through (1,8) , (2,10) , (3,12)

Hence, the equation of line using two points (1,8) and (2,10) is:

[tex]y-8=\dfrac{10-8}{2-1}\times (x-1)\\\\i.e.\\\\y-8=\dfrac{2}{1}\times (x-1)\\\\i.e.\\\\y-8=2(x-1)\\\\i.e.\\\\y-8=2x-2\\\\i.e.\\\\y=2x-2+8\\\\i.e.\\\\y=2x+6[/tex]

Identify all the sets to which the number belongs choose from rational number whole number or integer 1.256 I think irrational correct me if I’m wrong‍♀️

Answers

Answer:

Rational

Step-by-step explanation:

1.256 is not a whole #, and it's also not an integer. An integer is basically whole #s and their opposites. The # is not irrational. 1.256 is a terminating decimal, and can be turned into a fraction. 1.256 = 1 32/125.

The number 1.256 is a rational number because it can be expressed as a ratio of two integers (1256/1000). It is not a whole number or an integer due to its decimal component.

The question is whether the number 1.256 belongs to the sets of rational numbers, whole numbers, or integers. Contrary to the student's initial thought, 1.256 is not an irrational number. Instead, it is a rational number because it can be expressed as a ratio of two integers.

Specifically, 1.256 can be written as 1256/1000, where both the numerator and denominator are integers. Therefore, this number belongs to the set of rational numbers. It is not a whole number or an integer, as both of these sets require numbers without fractional or decimal components.

Part 6
want to line the front of the school with cylinder shaped beams filled with moon sand. Each beam is 37 feet tall with a diameter of 8 feet.

What is the total volume of each beam?

You are given a container with a 50,000 sq ft of sand for your beams.

1. How many beams can you fill with this sand?

2. Will you have any sand left over? If so how much?

What did you do to get your answers to question 1 and 2? Describe your work in detail.​

Answers

Answer:

Part 1) The volume of each beam is [tex]1,858.88\ ft^{3}[/tex]

Part 2) You can fill [tex]26\ beams[/tex]

Part 3) Yes, the amount of sand left over is [tex]1,669.12\ ft^{3}[/tex]

Step-by-step explanation:

Part 1) What is the total volume of each beam?

The volume of a cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]h=37\ ft[/tex]

[tex]r=8/2=4\ ft[/tex] ----> the radius is half the diameter

assume

[tex]\pi=3.14[/tex]

substitute the values

[tex]V=(3.14)(4)^{2} (37)[/tex]

[tex]V=1,858.88\ ft^{3}[/tex]

Part 2) How many beams can you fill with this sand?

we know that

You are given a container with a 50,000 sq ft of sand for your beams

Note Is a 50,000 cubic foot  of sand instead of 50,000 sq ft of sand

Divide the total volume of sand by the volume of each beam to obtain the number of beams

[tex]50,000/1,858.88=26.9\ beams[/tex]

Round down

[tex]26.9=26\ beams[/tex]

Part 3) Will you have any sand left over? If so how much?

yes

[tex]50,000-26(1,858.88)=1,669.12\ ft^{3}[/tex]

How to write 24.58 form?

I got something different is this right or wrong.

Answers

Answer:

That is correct.

Step-by-step explanation:

2 times 10=20

4 times 1=4

5 times 0.1=0.5

8 times 0.01=0.08

20+4+0.5+0.08=24.58

That is correct.

Oh now I see. Yes that is correct

So this is what I got before, in the other question you asked, and the expanded form on the paper is the same thing as this. The way I wrote it is just another version, both are correct:

20.00 + 4.00 + 00.50 + 00.08

(2 x 10) + (4 x 1) + (5 x 0.1) + (8 x 0.01)

Multiply all the numbers together in each parentheses set and you'll get the same thing as the other problem I answered!

In the first set of parentheses (2 x 10) when solved is equal to 20

20.00 + 4.00 + 00.50 + 00.08

In the second set of parentheses (4 x 1) when solved is equal to 4

20.00 + 4.00 + 00.50 + 00.08

In the third set of parentheses (5 x 0.1) when solved is equal to .5

20.00 + 4.00 + 00.50 + 00.08

In the fourth set of parentheses (8 x 0.01) when solved is equal to 00.08

20.00 + 4.00 + 00.50 + 00.08

 

Hope this was way more helpful!

23 cm
8 cm
8 cm
8 cm
The area of one of the bases of the figure shown above is about 15.6 cm?
What is the surface area, in cm2, of the figure? Round your answer to the
nearest tenth

Answers

Answer:

445.2 square cm

Step-by-step explanation:

The surface area consists of  area of two bases and area of three leteral faces. Each lateral face is a rectangle with length of 23 cm and width of 6 cm.

The area of rectangle is

[tex]A_{rectangle}=\text{length}\times\text{width}[/tex]

So,

[tex]A_{rectangle}=23\times 6=138\ cm^2[/tex]

The area of base is given as [tex]15.6\ cm^2[/tex]

Thus, the surface area is

[tex]SA=2A_{base}+3A_{lateral\ face}\\ \\SA=2\cdot 15.6+3\cdot 138=445.2\ cm^2[/tex]

What is the area of this figure? Enter your answer in the box

Answers

The answer should be 51

Check the picture below.

so the figure is really two triangles and one trapezoid.

the yellow triangle has a base of 3, height of 2.

the pink triangle has a base of 6, height of 1.

the trapezoid has a height of 6, and bases of 7 and 9.

[tex]\bf \stackrel{\textit{area of yellow triangle}}{\cfrac{1}{2}(3)(2)}+\stackrel{\textit{area of pink triangle}}{\cfrac{1}{2}(6)(1)}+\stackrel{\textit{area of trapezoid}}{\cfrac{6(7+9)}{2}} \\\\\\ 3+3+48\implies 54[/tex]

maria rented a minivan for $54 per day for 8 days and drove 1452 miles .She was allowed 150 free miles ,and was charged 25 cents for each additional miles . what was the total rental cost​

Answers

Answer:

54×8=432 1452-150=1302×.25=325.50+432.00=757.50

Step-by-step explanation:

54•8=$432.00
She drove for 8 days and she had to pay $54.00 a day so you multiply.

1452-150=1302 miles
She drove 1452 miles and she got 150 free miles so you subtract to find the amount of miles you need to pay.

1302•.25=$325.5
She had to pay for 1302 miles and each mile is .25 cents so to get the money she had to pay you multiply.

432.00+325.50=$757.5
Add up the total to get your answer

$747.50 was the total rental cost.

What is the length of AD

Answers

What is AD? There is no picture...

Final answer:

The length of AD is calculated using the given formula, which is a proportion involving the length of AC and the variables a, c, and d. One must plug in the values for these variables and solve the equation to find the length of AD.

Explanation:

To find the length of AD, we use the given formula which indicates a proportional relationship between the lengths on a line segment. The formula involves variables that define the lengths of specific segments of the line, as well as the ratios between them. In this case, the formula is (Length AD) = (Length AC) × (a-d)/(a-c). Here's a step-by-step explanation:

Identify the length of AC. This is the distance between points A and C.Determine the values of a, c, and d. These values are typically provided or can be calculated based on additional information about the geometric configuration.Substitute the values into the formula and calculate the length of AD.

This formula can be used to calculate the length of a line segment extending beyond the segment AC or that lies between points A and C, depending on the values of the variables involved.

What allergens do the graham crackers contain

Answers

Answer:

Eggs and Nuts

Step-by-step explanation:

Some graham crackers contain eggs and nuts

10.5, 14, 17.5, 21, 24.5, ...
What is an explicit rule for this sequence in simplified form?

Answers

Final answer:

The explicit rule for the given sequence is to add 3.5 to each previous term.

Explanation:

The given sequence is:

10.5, 14, 17.5, 21, 24.5, ...

The explicit rule for this sequence is that each term is obtained by adding 3.5 to the previous term. So, the nth term of the sequence can be represented by the formula:

Tn = Tn-1 + 3.5

where Tn is the nth term of the sequence and Tn-1 is the previous term.

Final answer:

The explicit rule for the sequence 10.5, 14, 17.5, 21, 24.5, ... is a_n = 7 + 3.5n.

Explanation:

The sequence given is 10.5, 14, 17.5, 21, 24.5, ... and we need to find an explicit rule for this sequence in simplified form. Observing the sequence, we see that each term is increasing by 3.5. Therefore, the common difference in this arithmetic sequence is 3.5. We can express the nth term of the sequence using the formula:

an = a1 + (n - 1)d, where a1 is the first term and d is the common difference.

Since the first term a1 is 10.5 and d is 3.5, the rule for the nth term is:

an = 10.5 + (n - 1)(3.5)

which simplifies to an = 7 + 3.5n.

Rose bought three feet of ribbon how many inches of ribbon did Rose buy​

Answers

Answer:

36 I used a calculator

Step-by-step explanation:

Please give me brainliest you get point by answering questions and then once you answer 1 you can give me brainliest by clicking the crown

Answer:

36 inches of ribbon

Step-by-step explanation:

There are 12 inches in each foot of ribbon, 12 times 3 is 36. She bought 36 inches of ribbon.

What is the solution to this system of liner inequality 3x-2y=14,5×+y=32​

Answers

My work is shown up above in first picture.

Second picture is checking my answer.

For this case we have a system of two equations with two unknowns:

[tex]3x-2y = 14\\5x + y = 32[/tex]

We multiply the second equation by 2:

[tex]3x-2y = 14\\10x + 2y = 64[/tex]

We add the equations:

[tex]13x = 78\\x = \frac {78} {13}\\x = 6[/tex]

We substitute the value of "x" in the following equation, and we clear the value of "y":

[tex]5 (6) + y = 32\\30 + y = 32\\y = 32-30\\y = 2[/tex]

So, the solution is: (6,2)

ANswer:

(6,2)


A class had 11 boys and 9 girls in it. What percent of the class are boys?
A. 11%
B. 45%
C. 55%
D. 82%

Answers

Hello There, the answer is C. 55%!

To solve, get the total (11 boys + 9 girls = 20 total students). Put the number of boys over the total, representing it as a fraction, 11/20. Now convert this t  a precent by dividing 11 by 20 and multiplying the result by 100.

11 divided by 20 = 0.55

0.55 times 100 = 55%

So, 55% is your final answer. I hope this helps and have a great day!

The percent of the class that are boys is Option(C) 55% .

What percent of class are boys ?

It is given that a class had 11 boys and 9 girls in it.

Thus the total number of students in the class is = (11 + 9) = 20

The percent of boys is given by -

(Number of boys / Total number of students) * 100 %

Percent of boys = 11/20 * 100 %

∴  Percent of boys = 55%

Therefore, the percent of the class that are boys is Option(C) 55% .

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In a class of 100 students, 24 take Chorus, 33 take Band, and 10 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band? (3 - 4 points) SHOW WORK!

Answers

ANSWER

The number who are not enrolled in either Chorus or Band is 53

EXPLANATION

The given information can be represented on a Venn diagram as shown above.

Let x represent the number of students who are not enrolled in either chorus or band.

Then

[tex]x + 14 + 10 + 23 = 100[/tex]

[tex]x + 43 = 100[/tex]

This implies that

[tex]x = 100 - 43[/tex]

[tex]x = 57[/tex]

The number who are not enrolled in either Chorus or Band is 53

What is the value of x in the proportion below 5/60 =8/x

Answers

[tex] \frac{5}{60} = \frac{8}{x} \\ 5x = 60 \times 8 \\ x = \frac{60 \times 8}{5} \\ x = 12 \times 8 \\ x = 96[/tex]

So x=96.

Hope it helps...

Regards;

Leukonov/Olegion.

[tex]

\frac{5}{60}=\frac{8}{x} \\

5x=8\cdot60 \\

5x=480 \\

\boxed{x=96}

[/tex]

Hope this helps.

r3t40

Please help with these 2 questions! Thank you

Answers

Answer:

15. h⁻¹ (x) = 5x-6/2

16. (g.f)x = 4x^2 -2x -1

Step-by-step explanation:

15. Find Inverse of h(x) =  2x+6 /5

Let y = 2x+6/5 we need to find value of x

Multiplying both sides with 5

5y = 2x+6

Adding -6 on both sides

5y -6 = 2x

Dividing both sides by 2

5y-6/2 = x

Now replace y with x our answer will be:

h⁻¹ (x) = 5x-6/2

16. f(x) =2x-1 and g(x) = x^2 -2 find (g.f)x

(g.f)x can be written as: g(f(x))

We know f(x) = 2x-1 so, put value of f(x) into x of g(x).

Putting values we get:

(g.f)x = g(f(x))= (2x-1)^2 -2

                   = 4x^2 -2x +1 -2

                   = 4x^2 -2x -1

               

so, (g.f)x = 4x^2 -2x -1

one side of a regular hexagon is x+2 its perimeter is?

Answers

Answer:

6 x + 12

Step-by-step explanation:

Hexagon = 6 sides

1 side = x + 2

( Multiply by 6 to get 6 sides )

6 sides = 6 x + 12

Final answer:

The perimeter of a regular hexagon with a side length of x + 2 would be 6x + 12. This is achieved by multiplying the length of one side (x + 2) by 6 (total sides in a hexagon).

Explanation:

The perimeter of any regular shape is given by the sum of its sides. In a regular hexagon, all sides are equal. Therefore, if one side is x + 2, then the perimeter would be six times that side length. This is because a hexagon has six sides. So, if we multiply the length of one side (x + 2) by 6 the result will be the total perimeter. Hence, the perimeter of the regular hexagon would be 6(x + 2), which simplifies to 6x + 12.

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assume that the moon is a sphere. what is the volume of the moon if its diameter is 3,476 km? Express your answer in scientific notation to two significant digits.

Answers

Answer:

Volume=2.2*10^10  km^3

Step-by-step explanation:

Given

Diameter of moon=d=3476 km

The formula for the volume of sphere is:

V=4/3 πr^3

As it can be clearly seen that the formula uses radius, and we are given diameter. So we have to find the radius first

So,

radius=r=d/2

=3476/2

=1738 km

Now putting the value of r and pi in the formula:

V=4/3*3.14*(1738)^3

=12.56/3* 5249879272

= 21979494552.106

Rounded off to two significant digits:

Volume=2.2*10^10  km^3

Answer:

[tex]V=2.2\ x\ 10^{10} km^3[/tex]

Step-by-step explanation:

The formula to calculate the volume of a sphere is:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Where r is the radius of the sphere.

In this case we do not know the radius of the sphere, but we know the diameter.

By definition the diameter of a sphere is equal to twice the radius. This is:

[tex]d = 2r[/tex]

[tex]r = \frac{d}{2}[/tex]

In this case d= 3,476 km

So

[tex]r = \frac{3,476}{2}[/tex]

[tex]r = 1738\ km[/tex]

Finally

[tex]V=\frac{4}{3}\pi (1738)^3[/tex]

[tex]V=2.20\ x\ 10^{10} km^3[/tex]

what is the GCF of 6 and 15 ​

Answers

Answer:

3

Step-by-step explanation:

obtain the GCF by listing factors of both numbers

factors of 6 are : 1, 2, 3, 6

factors of 15 are : 1, 3, 5, 15

The common factors are : 1, 3

the GCF is 3

mention the term
blank abuse is the most common form of discrimination.

Answers

Final answer:

Discrimination, particularly in the labor market as demonstrated by disparities in job callbacks and opportunities based on race, gender, and disability, represents a systemic issue that persists despite legal protections against such practices.

Explanation:

Discrimination is the unfair treatment of individuals or groups based on characteristics such as race, gender, or religion. One of the most common forms of discrimination occurs in the labor market, where individuals may face disparities in job opportunities and wages. An example of this is how studies have shown that individuals with white sounding names receive more callbacks for interviews than African-American names, indicating racial discrimination. Furthermore, women and those disclosing a disability also face significant hurdles in the job market, highlighting gender discrimination and disability discrimination. Despite the existence of laws against discrimination in the United States and global conventions from the United Nations aimed at eliminating all forms of discrimination, these practices unfortunately persist. Institutional discrimination extends beyond individual acts of prejudice to include systemic issues such as white privilege, which confers benefits upon the dominant group often without their conscious acknowledgment.

alvin's age is two time elga's age. the sum of their age is 54. what is elga's age​

Answers

27 is the best answer I can think of cause 54/2 =27 which is Elgas age

What is the minimum of the sinusoidal function?
Enter your answer in the box.

Answers

•A sinusoidal function is a function in sine or in cosine •The amplitude of a graph is the distance on the y axis between the normal line and the maximum/minimum. It is given by parameter #a# in function #y = asinb(x - c) + d or y = acosb(x - c) + d# •The period of a graph is the distance on the x axis before the function repeats itself. Hope this helps you! :)

which of the following graphs represents a function that has a positive leading coefficient

Answers

Answer:

Options B, C, and D.

Step-by-step explanation:

The first graph is a parabola. Since it opens downwards, it means the leading coefficient is negative.

The third graph is also a parabola. Since it opens upwards, it means it has a positive leading coefficient.

The second and fourth graphs represents a polynomial with an odd degree. Since both polynomial goes rises on the left and keeps rising on the right, their leading coefficients are positive.

The correct options are:

B, C , and D

Answer: graph b and graph c and graph D

Step-by-step explanation: Just took the quiz

need help please !!!!

Answers

Answer:

11

Step-by-step explanation:

3/7 x 14/1 = 42/7 = 6

5/8 x 8/1 = 40/ 8 =5

6+5= 11

Hope this helps

Sorry if it's wrong

If it's right please mark brainliest :D

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It is cloudy at position A and clear at position B. C. It is cooler at position A than at position B. D. It is warmer at position A than at position B. Twocoinsareflippedtodecidewhohastodothechores.Iftwoheadsareflipped,Matthastodothechores.Iftwotailsareflipped,Markhastodothechores.Ifneitheroftheseresultsismet,theyflipbothcoinsagain.a. Howmanydifferentoutcomesarethereafterflippingbothcoins?b. WhatistheprobabilitythatMatthastodochores?c. WhatistheprobabilitythatMarkhastodochores?d. Isthemethodofdecisionfair?e. Whatisthelikelihoodthattheymust flip again? 1.A photo of a painting has a scale of 3 inches = 2 feet. If the photo is 7.5 inches long, how many feet long is the painting?4511.2551.25 Use the following words and phrases to answer the questions below with the best possible answer. Some phrases will be used MORE than once.SuccessionPrimary Succession Secondary Succession Soil Climax CommunityPioneer Species1. A forest of pine trees is burned over a 10 mile area when lightning strikes a tree. In the spring, a few seedlings begin to sprout. This is an example of:2. A glacier has scraped all soil from a rocky area. As it slowly retreats, some of the rock is broken down by weathering. Some moss begins to grow. This is an example of: 3. An old-growth forest has remained the same combination of hickories and oaks for 100 years. This is an example of a:4. Small organisms, such as lichens, help break up bare rock into soil. A lichen is an example of a:5. A pond slowly fills in as algae and other plants die and fall to the bottom. This is an example of:6. A volcano erupts creating a new island. This is an example of:7. The process of primary succession begins with the formation of _________. Over time the once empty rock surfaces will become populated with organic material.8.______________ occurs when ecosystems change over time through the progressive replacement of species. PLEASE HELP ASAP i will give brainliest!!Write an inequality to represent the real-world problem. Then complete the statements. Jasmines computer cost more than $300. The variable in the inequality represents _______ The inequality symbol needed is ________ The constant is _______ The inequality that correctly represents the problem is ______ If he randomly chooses two students, one at a time, what is the probability that they are both girls? What transformation has changed the parent function f(x) = 3(2)x to its new appearance shown in the graph below?exponential graph passing through point 0, 1. f(x) + 2 f(x) 2 f(x + 2) f(x 2) Drag each expression to show whether it can be used to find the area, perimeter, or neither. Steam Workshop Downloader