Which expression has the same value as tan(-45°)?
-tan(45°)
-cot(135°)
-sin(270°)
-cos(180°)

Answers

Answer 1

Answer:

I think it's cot(135°)

Step-by-step explanation:

Cot 135° = Cot (π/2 + 45)

and,

Cot (π/2+45)= -tan (45),

because when a trigonometric ratio is impressed by using π/2 the ratio should be changed its opposite like sin value turns into a cos value, tan value turns into cot and vise versa. Then as 135° is in the second sector that means π/2<135°<π. So it should be -tan(45°)

As tan-45°= -tan 45° i think the answer is second one aka cot(135°)

Answer 2

The equivalent expression of tan(-45) is cot(135)

The given trigonometric expression is: tan(-45).

To do this, we make use of the following trigonometry ratio

[tex]\cot (\frac{\pi}{2}+\theta)= -\tan (\theta)[/tex]

Substitute 45 for [tex]\theta[/tex].

So, we have:

[tex]\cot (\frac{\pi}{2}+45)= -\tan (45)[/tex]

In trigonometry, [tex]\frac{\pi}{2} = 90[/tex].

So, we have:

[tex]\cot (90+45)= -\tan (45)[/tex]

Add 90 and 45

[tex]\cot (135)= -\tan (45)[/tex]

Also, we have:

[tex]\tan (-45)= -\tan (45)[/tex]

So, the equation becomes

[tex]\cot (135)= \tan (-45)[/tex]

Rewrite as:

[tex]\tan (-45) = \cot (135)[/tex]

Hence, the equivalent expression of tan(-45) is cot(135)

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Related Questions

Look at the screen shoot to answer

Answers

Answer:b

Step-by-step explanation:I did it on my quiz

Answer:

Hi there!

Your answer is:

B √12

Step-by-step explanation:

Everything else turns out to be evenly squared. They are whole numbers. With √12 it has a never-ending fraction

how much does each one equal?​

Answers

Answer:

need more information

Please jdkhskslsjje

Answers

Answer:

3/8

Step-by-step explanation:

1- 1/4 +(1/2 x 3/4)

1. subtract 1/4 to get 3/4 (how much time she has left in class).

2. multiply 3/4 by 1/2 to find how much half of 3/4 is.

3. Half of 3/4 is 3/8 so that's how much time she spent on the balance beam.

Answer:

otatoP

Step-by-step explanation:

Simplify by using the distributive property: ​

Answers

Answer:

That is the answer. Let me know if you can't see it.

[tex]\huge\boxed{Hello!}[/tex]

5(3m+7)

Multiply 5 by every term inside the parentheses:

15m+35

8(-p+2)

-8p+16

4(7-2a)

28-8a

[tex]\huge\boxed{\boxed{\boxed{\bold{Hope\:this\:helps\:you!}}}}}[/tex]

[tex]\huge\bold{Good\:luck\:and\:enjoy\:your\:day!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

I serious help. a ton​

Answers

Answer:

Since BD bisects Angle ABC, Angle ABD = Angle DBC

[tex]3x+6=7x-18[/tex]

Subtract 6 from both sides:

[tex]3x+6-6=7x-18-6[/tex]

[tex]3x=7x-24[/tex]

Subtract 7x from both sides:

[tex]3x-7x=7x-24-7x[/tex]

[tex]-4x=-24[/tex]

Divide both sides by -4:

[tex]\frac{-4x}{-4}=\frac{-24}{-4}[/tex]

[tex]x=6[/tex]

Angle [tex]ABD=3x+6=3(6)+6=18+6=24[/tex]

Angle [tex]CBD=7x-18=7(6)-18=42-18=24[/tex]

Angle [tex]ABC=ABD+CBD=24+24=48[/tex]

Answer:

m<ABD= 6

m<CBD= -18

m<ABC= -108

Step-by-step explanation:

What is the value of k for which the following equation has one solution?
|14+ 7x| - 15 = k​

Answers

Answer:

7x-1

Step-by-step explanation:

14 + 7x - 15 = k

7x - 1 = k

Finding x,

14 + 7x - 15 = k

=> 14 + 7x = k + 15

=> 7x = k + 15 - 14

=> x = (k + 1)/7

So, 7 * (k+1)/7 - 1 = k

k + 1 - 1 = k

=> k = k

So the answer is true that 7x - 1

Help Meeeeeeee!!!!!!!!

Answers

Answer: 1st one

Step-by-step explanation:

I need help plz I will give you 500 points

Answers

Answer:

10

Step-by-step explanation:

Mean = Sum of all data [tex]\div[/tex] Number of data

Let x be the other number.

[tex]30 =\frac{12+50+48+x}{4}[/tex]

Multiply both sides by 4:

[tex]\frac{4\left(12+50+48+x\right)}{4}=30* \:4[/tex]

[tex]x+110=120[/tex]

Subtract 110 from both sides:

[tex]x+110-110=120-110[/tex]

[tex]x=10[/tex]

Answer:

B:10

Step-by-step explanation:

Set up the equation

(12+50+48+x)/4=30

Add like terms

(110+x)/4=30

now multiply both sides by 4

(110+x)/4=30

4              4

110+x=120

Now subtract  110 from both sides

x=10

Hope this helps! Plz award Brainliest : )

can you help me put 2x^2+3x^5-5 in standard form ​

Answers

It should be 5x^2^0:
2x+3x
Then take the 2 by itself
Now you take 5-5 which is 0...
hope this helped

Qu
Answer two questions about Equations A and B:
A. 5x – 2 + 1 = 1 - 4
B.
5.2 – 2 = 4

Answers

Answer:

A:4/5 B:11.2

Step-by-step explanation:

The number f of miles a helicopter is from its destination x minutes after takeoff is given by f (x)=40-2x. The number f of miles a commercial jet is from its destination x minutes after takeoff is shown in the graph below.

Answers

Answer:

Step-by-step explanation:

Function 'f' represents the number of miles (y-values) covered by the helicopter in 'x' (x-values) minutes.

f(x) = 40 - 2x

For x = 0,

f(x) = 40 miles

For f(x) = 0,

0 = 40 - 2x

x = 20 minutes

This shows that helicopter traveled 40 miles in 20 minutes.

Similarly, given graph shows distance covered by the jet on y-axis and duration of flight on x-axis.

For x = 0,

f(x) = 500 miles

For f(x) = 0,

x = 100 minutes

Commercial jet traveled 500 miles in 100 minutes.

The total distance and time taken for each flight are illustrations of intercepts.

The helicopter traveled 40 miles in 20 minutesThe commercial jet traveled 500 miles in 100 minutes

We have:

[tex]x \to[/tex] minutes

[tex]f(x) \to[/tex] miles

Helicopter

[tex]f(x) = 40 - 2x[/tex]

Set f(x) to 0, to calculate the x-intercept

[tex]0 = 40 - 2x[/tex]

Collect like terms

[tex]2x = 40[/tex]

Divide by 2

[tex]x =20[/tex]

Set x to 0, to calculate the y intercept

[tex]f(x) = 40 - 2x[/tex]

[tex]f(0) = 40 - 2 \times 0[/tex]

[tex]f(0) = 40[/tex]

This means that, the helicopter traveled 40 miles in 20 minutes

Commercial Jet

From the graph, the intercepts are:

[tex](x_1,y_1) = (100,0)[/tex] --- the x-intercept

[tex](x_2,y_2) = (0,500)[/tex] --- the y-intercept

This means that, the commercial jet traveled 500 miles in 100 minutes

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1. There are 6 more water glasses than coffee mugs in a cabinet. There are 26 water glasses and coffee mugs in the cabinet, in all. How many coffee mugs are there in the cabinet? Write and solve an equation, where m represents the number of coffee mugs, to solve the problem. 2. The product of a number, x, and six is three less than seven times the difference of the same number, x, and four. Write an equation to represent this statement.

Answers

Answer:

10

Step-by-step explanation:

No of coffee mugs = m

No of water glasses = g

g = m + 6

g + m = 26

m + 6 + m = 26

m + m = 26 - 6

2m = 20

2m/2 = 20/2

m = 10

1. Find the value of each side.
5x - 3
4x + 6

Answers

Answer:

5x-3= 2x

4x + 6= 10x

Step-by-step explanation:

The first awnser is right because the x    doesnt have a value therefore you keep the x but you still do the problem.

the second one is right because the same  explanation for the first question but its addition and if the x had a value then you would multiply the 4 and the value of the x first then you would do the addition.

354 by rounding to the nearest hundred.​

Answers

Answer:

400

Step-by-step explanation:

354>=350 and thus is rounded upwards to 400.

Answer:

it is 400

Step-by-step explanation:

IF you round to the nearest hundred, then you are going to up or down by the hundred. Since 54 is closer to 100, the number 354 goes to 400.

What scale is being used if an image of a book on a website is 1.5 inches wide and in real life the book is 9 inches wide?

Answers

Answer:

6

Step-by-step explanation:

Divide 9 by 1.5 to find the scale factor:

9/1.5

= 6

So, the scale factor from the website to real life is 6

5.28 plus -9 step by step

Answers

Answer:

-3.72

Step-by-step explanation:

5.58+-9

-9+5=-4

-4+.28=-3.72

Simplify (x^3/x^2)6^2. Explain your steps. Sorry, this is the one I meant to put up.

Answers

Answer:

[tex]36x[/tex]

Step-by-step explanation:

[tex]\left(\frac{x^3}{x^2}\right)* \:6^2[/tex]

Apply exponent rule: [tex]\frac{x^a}{x^b}\:=\:x^{a-b}[/tex]

[tex]x^{3-2}*6^2[/tex]

[tex]x*6^2[/tex]

[tex]x*36[/tex]

[tex]36x[/tex]

The ticket prices to a museum are $5.00 for adults and $3.00 for students. How much will it cost for a group of 71 students, 3 parents, and 2 teachers to attend the museum?

Answers

I think the answer is $238.

71 x $3 = $213

2 + 3 = 5

5 x $5 = $25

$213 + $25 = $238

I hope this helps.

The total cost of ticket for a group of 71 students, 3 parents, and 2 teachers to attend the museum is $360.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Cost of ticket for adult = $5.00

Cost of ticket for students = $3.00

Now, Total number of students = 71

Number of parents = 3

Number of teachers = 2

So, total adults = 3 + 2 = 5

Thus, Total cost of tickets for students = 71*5 = $355

and, Total cost of tickets for adults = 5*3 = 1$5

Therefore,

Total cost of ticket for a group of 71 students, 3 parents, and 2 teachers to attend the museum = Total cost of tickets for students + Total cost of tickets for adults

Total cost of ticket for a group = $355 + $5

Total cost of ticket for a group = $360

Thus, the total cost of ticket for a group of 71 students, 3 parents, and 2 teachers to attend the museum is $360.

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A pattern for 1 uniform uses 12 yards of material. Boleslaw wants to know how many yards are needed for 8 uniforms. Chantal wants to know how many yards she will need to make 15 uniforms. Drag an expression to answer each question.

Answers

Answer:

12x

Step-by-step explanation:

8 uniforms= 96 yards

15 uniforms= 180 yards

☆☆PLEASE HELP ASAP!!☆☆
Add one term to the polynomial expression 14x^19 – 9x^15 + 11x^4 + 5x^2 + 3 to make it into a 22nd degree polynomial.​

Answers

Answer:

The new expression is [tex]p' = 5\cdot x^{2}+11\cdot x^{4}-9\cdot x^{15}+14\cdot x^{19}+12\cdot x^{22}[/tex].

Step-by-step explanation:

A polynomial is a sum of algebraic monomials such that:

[tex]p = \Sigma_{i=0}^{n} c_{i}\cdot x^{i}[/tex]

Where [tex]n[/tex] is the degree of the polynomial and [tex]c_{i}[/tex] is the i-th coefficient of the polynomial. A 22nd degree polynomial has [tex]n = 22[/tex], so that given polynomial must added by a monomial with grade 22. Thus:

If [tex]p = 5\cdot x^{2} + 11\cdot x^{4}-9\cdot x^{15}+14\cdot x^{19}[/tex] and [tex]q = 12\cdot x^{22}[/tex], then we have:

[tex]p' = p+q[/tex]

[tex]p' = 5\cdot x^{2}+11\cdot x^{4}-9\cdot x^{15}+14\cdot x^{19}+12\cdot x^{22}[/tex]

The new expression is [tex]p' = 5\cdot x^{2}+11\cdot x^{4}-9\cdot x^{15}+14\cdot x^{19}+12\cdot x^{22}[/tex].

find the square root of 32/3 up to three decimal pace

Answers

Answer:

The square root of 32 by 3 is 5.657

Step-by-step explanation:

Find the extraneous solution of the equation |9−4x|=−5x.

Answers

Answer:

X=-9

Step-by-step explanation:

A movie theatre sells 3 different sizes of popcorn: small, medium, and large. An order of popcorn comes with 4 different topping choices: butter, cheese, caramel, or salt. 1a. How many unique ways can yoI order a bag of popcorn?(You can only select one topping.) 1b. What is the probability that a randomly selected popcorn is large with either butter or salt?

Answers

you can only choose 4 unique ways Step-by-step explanation:

Abigail's favorite television show usually
has 8 minutes of commercials for every
30-minute episode. If Abigail watches
3 episodes, predict how many minutes of
commercials she watches.

Answers

She would be watching 24 minutes of commercials.

Explanation: If each episode is 30mins and she watches 3 of them, that would be 90mins of television. Therefore you would multiply the 8mins by 3 which would give you 24.

what is 3.170 × 10⁴​

Answers

Answer:

31,700

Step-by-step explanation:

10 to the 4th is 10,000, and 10,000 times 3.17 is 31,700

Answer:

31700

Since the exponent of the scientific notation is positive, move the decimal point  

4

places to the right.

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula,
and solve the two equations for x and y.)
midpoint (-1,14), endpoint (-4,12)
The other endpoint is 1
(Type an ordered pair.)

Answers

Answer:

(1,15)

Step-by-step explanation:

first, you look at the coordinates

then, you think how far are the 1st number away from the 2nd

finally, you'd get the answer of 15 there you have your answer

nononononononononoononononononn nononononononnno

Answers

Answer:

yesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyes lol

Step-by-step explanation:

Answer:

yes haha is your answer

which geometric concept is most useful when explaining the effect of a rotation on a segment
A. angle
B. parallel lines
C. perpendicular lines
D. scale factor

Answers

B is the answer I think is correct

The required concept that is most useful when explaining the effect of a rotation is the angle. Option A is correct.

Given that,
To determine that which geometric concept is most useful when explaining the effect of a rotation on a segment.

What is geometry?

Geometry is the mathematical study of figures and shapes.

here,
When it is to rotate the main geometric concept that must explain is the angle, for the rotation, it must me known how much angle the rotation is initiated.

Thus, the required concept that is most useful when explaining the effect of a rotation is the angle. Option A is correct.


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The
between two points is called the length of a segment.

Answers

Definition of Distance between Two Points
The distance between any two points is the length of the line segment joining the points. For example, if A and B are two points

Endpoint: (7,1), Midpoint: (-8,-9)

Answers

Answer:

Step-by-step explanation:

(x+7)/2= -8

x + 7 = -16

x = -9

(y + 1)/2 = -9

y + 1 = -18

y = -19

(-9, -19)

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