Meaning of tan sin and cos

Answers

Answer 1

Answer:

Those are trigonometric identities. and tan is just a shortened version of tangent, same for cos is means cosine

Answer 2

   The sine/sin of the angle = the length of the opposite side divided by the length of the hypotenuse.

   The cosine/cos of the angle = the length of the adjacent side divided by the length of the hypotenuse.

   The tangent/tan of the angle = the length of the opposite side divided by the length of the adjacent side.


Related Questions

If the determinant of this matrix is -19, what is the value of a?

A.
3
B.
4
C.
5
D.
6

Answers

Answer:

C)5

Step-by-step explanation:

For a 3x3 matrix [tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

determinent is given by = = a(ei − fh) − b(di − fg) + c(dh − eg)

Given Matrix

[tex]\left[\begin{array}{ccc}-6&7&1\\a&-3&4\\-6&4&-3\end{array}\right][/tex]

determinent of matrix= -6((-3)(-3) − (4)(4)) − 7(a(-3) − (4)(-6)) + 1(a(4) − (-3)(-6))

-19= -6(9-16) - 7(-3a+24) +4a-18

125= 25a

125/25= 25a/25

a= 5 !

Answer:

a = 5

Step-by-step explanation:

We are given 3 x 3 matrix  and the determinant of the matrix is -19.

We need find the value of "a" in the given matrix.

[tex]\left[\begin{array}{ccc}-6&7&1\\a&-3&4\\-6&4&-3\end{array}\right][/tex]

determinant (D) = -6[(-3)(-3) − (4)(4)] − 7[a(-3) − (4)(-6)] + 1[a(4) − (-3)(-6)]

-19 = -6[9 - 16] -7[-3a +24] +1[4a - 18]

-19 = -6[-7] +21a - 168 + 4a - 18

-19 = 42 + 21a -168 + 4a - 18

Simplify the like terms, we get

-19 = 25a - 144

25a = -144 + 19

25a = 125

Dividing both sides by 25, we get

a = [tex]\frac{125}{25}[/tex]

a = 5

So the value of a is 5.

Consider the function f(x) = 3x. Which statement MUST be true?
A)
f(3)
f(1)
=
f(6)
f(4)
B) f(3)·f(1) = f(6)·f(4)
C) f(3) − f(1) = f(6) − f(4)
D) f(3) − f(1) = f(−3) − f(−1)

Answers

Final answer:

After substituting values of x into the function f(x) = 3x, statement 'f(3) − f(1) = f(6) − f(4)' is found to be correct.

Explanation:

In order to determine which statement is accurate, we need to substitute the values of x into the function f(x) = 3x and perform the correct operations.
Let's examine the options:

A) This does not include any operation, so this is not a valid statement.

B) f(3)·f(1) = 9*3 = 27; f(6)·f(4) = 18*12 = 216. So this is not true.

C)  f(3) − f(1) = 9 - 3 =6; f(6) − f(4) = 18 - 12 = 6. This statement is true.

D) f(3) − f(1) = 9 - 3 = 6; f(-3) − f(-1) = -9 - (-3) = -6. So this is not true.

Therefore, the statement that must be true is 'f(3) − f(1) = f(6) − f(4)'.

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Considering the function f(x) = 3x the correct Option is C:  f(3) − f(1) = f(6) − f(4) .

Let's analyze each statement for the function f(x) = 3x to determine which one is true:

A) f(3)/f(1) = f(6)/f(4):

This statement suggests a proportional relationship. Computing the values, we get f(3) = 9, f(1) = 3, f(6) = 18, and f(4) = 12. Therefore, f(3)/f(1) = 9/3 = 3 and f(6)/f(4) = 18/12 = 1.5, so the statement is not true.

B) f(3)·f(1) = f(6)·f(4):

This statement suggests a multiplicative relationship. Using the same computed values, f(3)·f(1) = 9·3 = 27 and f(6)·f(4) = 18·12 = 216, so this statement is not true.

C) f(3) − f(1) = f(6) − f(4):

This implies an additive relationship. Using the computed values, f(3) − f(1) = 9 − 3 = 6 and f(6) − f(4) = 18 − 12 = 6. Both sides are equal, so this statement is true.

D) f(3) − f(1) = f(−3) − f(−1):

This implies another additive relationship, but with negative inputs. Computing these values, f(−3) = −9 and f(−1) = −3, then f(3) − f(1) = 9 − 3 = 6 and f(−3) − f(−1) = −9 − (-3) = −6. Therefore, this statement is not true.

Therefore, the correct answer is C.

What is the measure of angle C

Answers

Answer:

C = 77°

Step-by-step explanation:

From the intercepted arc theorem, we can say that Angle ABC (angle B) is HALF of the arc intercepted (which is 110).

Hence, angle ABC = 55.

Now, looking at triangle ABC, we know that sum of 3 angles of a triangle is 180. We already know Angle A to be 48 and Angle B to be 55, thus Angle C is:

A + B + C = 180

48 + 55 + C = 180

103 + C = 180

C = 180 - 103

C = 77


AB has endpoints at (-1, -1) and (-2, -4). Its transformation A'B' has endpoints at (-2, -2) and (-4, -8). What type of transformation occurred? Are lengths of segments affected by this

A) rotation; no; The lengths of the two segments are the same.
B) reflection; yes; The length of segment A'B' is longer than the original segment AB.
C) dilation by a scale factor of 2; yes; The length of segment A'B' is longer than the original segment AB.
D) dilation by a scale factor of 1/2; The length of segment A'B' is shorter than the original segment AB.
type of transformation? Justify.
will mark brainliest if correct and give 50 pts.

Answers

The correct answer is C

Please help!
Find the exact circumference of the circle.

Answers

The answer will be B

letter B is the answer

Belize is a small country in Central America. The
southern portion of the country receives an average
of 200 inches of rain per year. The northern portion
of the country averages 30% of this total. What is
the average yearly rainfall in the northern part of
Belize to the nearest inch?

a. 60
b. 20
c. 140
d. 40​

Answers

Answer:

60 inches

Step-by-step explanation:

30% of 200 inches = 200 inches * 30%

30% = 0.3

Substitute: 200 inches * 0.3

Multiply: 60 inches

In the given right triangle, find the missing length.

27 m

25 m

26 m

28 m

Answers

Answer:

26m

Step-by-step explanation:

a^2+b^2=c^2

24^2+10^2=c^

576+100=c^2

676=c^2

√676=√c^2

26=c

The answer is c mate

what is the perimeter of a hexagon with an apothem of 10

Answers

Assuming that said hexagon is regular then triangles formed (split in half by the apothem) are 30-60-90 triangles. The side that you'd get would be 10√3/3. Multiplied by two, you'd get 20√3/3. The perimeter would be 120√3/3, which would be 40√3 as the answer.

The perimeter of the hexagon is 40√3  if the apothem is 10 after applying tan ratio.

What is hexagon?

A hexagon is a six-sided polygon with six inner angles totalling 720° and six outside angles totalling 360° in geometry. Regular, irregular, concave, convex, and complicated hexagons are two-dimensional shapes.

From the figure, we can calculate the side length of the hexagon:

We know each interior angle of the hexagons = 120 degree

Half of the angle = 120/2 = 60 degree

From the tan ratio:

tan30 = (s/2)/10

1/√3 = s/20

s = 20/√3

Perimeter = 6×(20/√3) = 120/√3 = 40√3

Thus, the perimeter of the hexagon is 40√3  if the apothem is 10 after applying tan ratio.

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g(t)=−9t−4

g ( ? ) = 23

Answers

Answer:

g(- 3) = 23

Step-by-step explanation:

We require to find the value of t so that g(t) = 23

Equate g(t) to 23 and solve for t, that is

- 9t - 4 = 23 ( add 4 to both sides )

- 9t = 27 ( divide both sides by - 9 )

t = - 3

Hence g(- 3) = 23

If the value of the function g(t) = -9t - 4 is 23. Then the value of t will be negative three.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The function g(t) is given below.

g(t) = - 9t - 4

If the value of the function g(t) is 23. Then the value of t will be given as

23 = - 9t - 4

27 = - 9t

  t = - 3

Then the value of t will be negative 3.

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Will mark brainliest if you show ur work
How many solutions does the equation 6z − 3z − 7 = −2 + 3 have?

Two
None
Infinitely many
One

Answers

Answer:

[tex]\boxed{\bold{One \ Solution}}[/tex]

Step-by-step explanation:

Solve equation to find answer(s)

Combine: 6z - 3z = 3z

[tex]\bold{3z-7=-2+3}[/tex]

Add: -2 + 3 = 1

[tex]\bold{3z-7=1}[/tex]

Add 7 to both sides:

[tex]\bold{3z-7+7=1+7}[/tex]

Simplify:

[tex]\bold{3z=8}[/tex]

Divide both sides by 3:

[tex]\bold{\frac{3z}{3}=\frac{8}{3}}[/tex]

Simplify:

[tex]\bold{z=\frac{8}{3}}[/tex]

- M -

Need help anyone please ?

Answers

ok well in this specific example you are multiplying by 1000 so the answer or you are moving the decimal to the right 3 places so the answer is 3240

student tickets for the football game cost $12 each and adult ticket cost $20 $1,720 was collected for the 120 ticket sold at last game which system of equations can be used to solve for the number of each kind of ticket sold​

Answers

Answer:

85 student tickets and 35 adult tickets were sold.

Step-by-step explanation:

Howdy!

We know that student tickets cost $12, adult ticket cost $20 and 120 tickets were sold.

So:

$12×A + $20×B = $1,720. Where A and B are the number of student tickets and adult tickets sold, respectively.

Given that 120 tickets were sold in total, we have that:

A + B = 120

So the system of equations to be solved is the following:

$12×A + $20×B = $1,720                    (1)

A + B = 120                                          (2)

Solving for 'A' in equation (2) we get:

A = 120 - B

Substituting this value into equation (1) we get:

$12×(120 - B) + $20×B = $1,720

Solving for 'B' we have:

$12×(120 - B) + $20×B = $1,720

$1,440 - $12×B + $20×B = $1,720

$1,440 + $8×B = $1,720

$8×B = $1,720 - $1,440

$8×B = $280

B = 35 tickets.

Given that B = 35, then A = 120 - 35 = 85 tickets.

So 85 student tickets and 35 adult tickets were sold.

Answer:

Students=85

Adults=35

Step-by-step explanation:

-12s-20a=-1720

20k+20a=2400

8k=680

k=85

85+a=120

a=35

Please help
A septic tank in the shape of a rectangular prism must hold a volume of 234 cubic feet. If the width of the tank is 4.5 feet and the length is 8 feet, what is the height of the tank?

Answers

Final answer:

The height of the septic tank is 6.5 feet.

Explanation:

To find the height of the septic tank, we need to use the formula for the volume of a rectangular prism, which is length x width x height.

Given that the volume of the tank is 234 cubic feet, the width is 4.5 feet, and the length is 8 feet, we can substitute these values into the formula and solve for the height:

234 = 8 x 4.5 x height

Dividing both sides of the equation by 36, we get:

6.5 = height

Therefore, the height of the tank is 6.5 feet.

-5y = -5

7x + 6y = 7

Is (5,1) a solution of the system?

Choose 1 answer.

A. Yes
B. No

Answers

-5y = -5 = 1

7x + 6y = 7

=-1.167

your answer is B) no

Final answer:

The given coordinate (5,1) is not a solution to the system of equations -5y = -5 and 7x + 6y = 7. Both equations do not hold true when 5 and 1 are substituted for y and x respectively.

Explanation:

In Mathematics, to confirm if the given set of numbers ((5,1)) are a solution to the system, we substitute these values back into both system equations. In this case, 5 for y and 1 for x. As a result, the equation -5y = -5 becomes -5*5= -25, which is not equal to -5. Therefore, 5 is not a solution for y. Similarly, solving 7x + 6y = 7 after substituting the values becomes 7*1 + 6*5= 37, which is not equal to 7. So, 1 is not a solution for x. Therefore, the provided answer (5,1) is not a solution for the given system of equations. Thus, the answer is B. No.

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Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.

Wood fencing is sold in 8 foot sections for $111.50. Chain link fencing costs $9.75 per linear foot (in whole foot lengths). And, vinyl fencing can be purchased for $53.55 per linear yard (in whole yard lengths).

Which neighbor's fencing project will cost the most?
Which neighbor's fencing project will cost the least?

Answers

Answer:

- The neighbor's fencing project that will cost the most is: Neighbor A.

- The neighbor's fencing project that will cost the least is: Neighbor B.

Step-by-step explanation:

To calculate the amount of fence that Neighbor A has to put up, you need to add the following distances:

[tex]Fence_A=5yards+8yards+25yards+8yards\\Fence_A=46yards[/tex]

Convert yards to feet (Remember that [tex]1yard=3feet[/tex]:

[tex]Fence_A=(46yards)(\frac{3feet}{1yard})=138feet[/tex]

You know that wood fencing is sold in 8 foot sections for $111.50, then, the number of sections for this fence will be:

[tex]sections=\frac{138feet}{8feet}=17.25[/tex]≈18

Then,  the cost for this fencing project will be:

[tex]Cost_A=\frac{(18sections)(\$111.50)}{1section}=\$2,007[/tex]

 To calculate the amount of fence that Neighbor B has to put up, you need to use the formula for calculate the circumference of a circle:

[tex]C=2\pi r[/tex]

Where r is the radius.

In this case, the radius is:

[tex]r=\frac{30feet+10feet}{2}=20feet[/tex]

Substituting, you get:

[tex]C=Fence_B=2\pi (20feet)=125.66feet[/tex]≈126 feet

You know that the Chain link fencing costs $9.75 per linear foot, then, the cost for this fencing project will be:

[tex]Cost_B=(126)(\$9.75)=\$1,228.5[/tex]

To calculate the amount of fence that Neighbor C has to put up, you need to add the following distances:

[tex]Fence_C=16feet+58feet+16feet\\Fence_C=90feet[/tex]

Convert from feet to yards (Remember that [tex]1yard=3feet[/tex]:

[tex]Fence_A=(90feet)(\frac{1yard}{3feet})=30yards[/tex]

You know that the vinyl fencing can be purchased for $53.55 per linear yard , then, the cost for this fencing project will be:

[tex]Cost_C=(30)(\$53.55)=\$1,606.5[/tex]

Therefore, the neighbor's fencing project that will cost the most is: Neighbor A.

The neighbor's fencing project that will cost the least is: Neighbor B.

Answer:

Therefore, the neighbor's fencing project that will cost the most is: Neighbor A.

The neighbor's fencing project that will cost the least is: Neighbor B.

Step-by-step explanation:

The manager of an online news service received the report given in the table on the number of subscriptions sold by the service. The manager estimated that the percent increase from 2012 to 2013 would be half the percent increase from 2013 to 2014. How many subscriptions did the manager expect would be sold in 2014?

table:
2012: 5,600
2013: 5,880

Answers

Answer:

= 5880 +

                                      = 5880 + (0.10 × 5880)

                                      = 5880 + 588

                                      = 6,468

In 2014 subscriptions would be sold 6,468.

Step-by-step explanation:

Help please
With y=2x-4

Answers

Answer: 8, 0, -12

1. This is the equation of a line y=mx +b. All you have to do it substitute your x values into the x in the equation.

y=2(6)-4

y=8

y=2(2)-4

y=0

y=2(-4)-4

y=-12

Just plug in the values for what you are given, you plug in the value for x and solve for y.

For this case we have a function of the form [tex]y = f (x)[/tex]

Where [tex]f (x) = 2x-4[/tex]

We must find the values of "and" when:

[tex]x = 6\\y = 2 (6) -4\\y = 12-4\\y = 8[/tex][tex]x = 2\\y = 2 (2) -4\\y = 4-4\\y = 0[/tex][tex]x = -4\\y = 2 (-4) -4\\y = -8-4\\y = -12[/tex]

ANswer:

8,0, -12

Option C

1,003,498 word form
Please my


Answers

one million - three thousand - four hundred - ninety eight

The Bulldogs, a baseball team, has nine starting players. The heights of the starting players are 72 in., 71 in ., 78 in., 70 in., 72 in., 72 in., 73 in., 70 in., and 72 in. Which term BEST describes the data value 78 in.?

A) mean
B) median
C) mode
D) outlier

Answers

By looking at this data, you can see that while most of the data is in between 70 and 73, the only number that isn't in that range is 78. Therefore, the term outlier describes 78in the best.

Answer:

D) Outlier

Step-by-step explanation:

There are four steps for converting the equation x^2+y^2+12x+2y-1=0 into standard form by completing the square. Complete the last step.

Answers

Answer:

(x + 6)² + (y + 1)² = 36 + 1 + 1

Step-by-step explanation:

using the steps given, we are left with:

x² + 12x + 36 + y² + 2x + 1 = 38

we can factor each term in parentheses:

(x² + 12x + 36) + (y² + 2x + 1) = 36 + 1 + 1

lets start with x² + 12x + 36. we factor by finding 2 numbers that add up to 12 and when multiplied together get 36. the answer is 6. so we can factor:

(x + 6)²

next we factor y² + 2x + 1. the same rules apply, and this number would be 1.

(y + 1)²

we have the following:

(x + 6)² + (y + 1)² = 36 + 1 + 1

to simplify the right side, we add the terms, then square it as well to find the radius of the circle, in which the formula is (x - h)² + (y - k)² = r²

(x + 6)² + (y + 1)² = 38²

(x + 6)² + (y + 1)² = 1444

(x + 6)² + (y + 1)² = √1444

(x + 6)² + (y + 1)² = 38

this is the final form

Dan solves 6p=5-3p in the way shown below. Which properties did Dan use for Step 1 and Step 2?

Answers

Answer:

Both the addition property of equality and the additive identity property

Step-by-step explanation:

we know that

The addition property of equality states that if the same amount is added to both sides of an equation, then the equality is still true

The additive identity property says that if you add a real number to zero or add zero to a real number, then you get the same real number back

we have

[tex]6p=5-3p[/tex]

step 1

Applying the addition property of equality adds 3p both sides

[tex]6p+3p=5-3p+3p[/tex]

step 2

Applying the additive identity property

[tex]6p+3p=5+0[/tex]

step 3

[tex]9p=5[/tex]

step 4

[tex]p=5/9[/tex]

Answer:

Both the Addition Property of Equality and the Additive Identity Property

Step-by-step explanation:

This is Because we know the The Addition Property of Equality means or defines If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. So that would show or represent the Step 1

And for Step two it is The Additive Identity Property because we know that defines : an identity element (such as 0 in the group of whole numbers under the operation of addition) that in a given mathematical system leaves unchanged any element to which it is added.

This is why the correct answer is.... "Both the Addition Property of Equality and the Additive Identity Property"

Use the model below to calculate 9 ÷ 1 3 please help.
9/3
3/9
13 1/2
27

Answers

Answer:

Step-by-step explanation:

c i think

Answer:

D

Step-by-step explanation:

Calculate

9 Divided by 1/3 =

27 so your answer should be D.

I did the Test Btw!

Which of these are factors of 121?

Answers

11 Bc 11 times 11 = 121

11, 11 •11 equals 121 which makes it a factor

What is the answer??????

Answers

Answer:

D. G(x) = (x + 3)²

Step-by-step explanation:

f(x) - n - shift the graph n units down

f(x) + n - shift the graph n units up

f(x - n) - shift the graph n units to the right

f(x + n) - shift the graph n units to the left

==========================================

From the graph:

G(x) - the graph F(x) has been shifted 3 units to the left (look at the vertex).

Therefore your answer is G(x) = F(x + 3) = (x + 3)²

The answer is D. D is the answer

What is the quotient of -8x^6/4x^-3?

Answers

Answer: [tex]-2x^{9}[/tex]

Step-by-step explanation:

 To find the quotient, you  need to apply the Quotient of powers property. This is:

[tex]\frac{a^m}{a^n}=a^{(m-n)[/tex]

Then given the expression [tex]\frac{-8x^6}{4x^{-3}}[/tex] you can apply the property mentioned before. Then you get:

[tex]\frac{-8x^{(6-(-3))}}{4}[/tex]

You should remember the multiplication of signs:

[tex](-)(-)=+\\(+)(+)=+\\(-)(+)=-[/tex]

Therefore, simplifying the expression, you get that the quotient of [tex]\frac{-8x^6}{4x^{-3}}[/tex] is:

 [tex]-2x^{9}[/tex]

Answer:

d

Step-by-step explanation:

d

How do you solve to get y?

Answers

Answer:

y = 64

Step-by-step explanation:

Using the rule of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

[tex]log_{y}[/tex] 4 = [tex]\frac{1}3}[/tex], then

4 = [tex]y^{\frac{1}{3} }[/tex]

Cube both sides

4³ = ([tex]y^{\frac{1}{3} }[/tex])³, hence

y = 64

This is a picture of a cube and the net for the cube.
What is the surface area of the cube?


a. 48mm
B. 64mm
c. 112mm
d. 384mm​

Answers

B:64————————bc 8x8 is 64

Answer:it’s D

Step-by-step explanation:

pls help i need to finish all my khan academy work or else i fail my grade, plsssss help

Answers

Answer:

Start by dividing things up so that you know them. Use the dotted line to make a square a 2 triangles. Base and height for the square is 4 so that total is 16. Then the triangles have a base an height of 4 as well so that ((4•4)/2)= 8. Then add them together = 24

Hope this helps.

Answer:

Step-by-step explanation:

There are 5 white balls, 8 red balls, 7 yellow balls and 4 green balls in a container. A ball is chosen at random. What is the probability of picking a red

Answers

Answer:

8/24=1/3

There are 24 balls in total and 8 of them are red. So you get 8/24 but you need to simplify it to its simplest form which is 1/3

Final answer:

The probability of picking a red ball from a container with 5 white, 8 red, 7 yellow, and 4 green balls is 1/3, because you divide the number of red balls (8) by the total number of balls (24).

Explanation:

The subject of this question is probability, a branch of mathematics concerned with the likelihood of an event occurring. To find the probability of picking a red ball, we need to divide the number of red balls by the total number of balls in the container.

In the question, there are 5 white balls, 8 red balls, 7 yellow balls, and 4 green balls, which means there are a total of 24 balls. The probability of picking a red ball is calculated by taking the number of red balls and dividing it by the total number of balls:

Probability of picking a red ball = Number of red balls / Total number of balls = 8 / 24 = 1/3.

Are cubic millimeters bigger than cubic inches

Answers

No. Inches are longer than millimeters

False, it is the other way around. You can think of cubic measurements just like regular ones. Cubic inches are larger than cubic millimeters just like inches are bigger than millimeters.

Other Questions
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