Find all possible values for each expression.
tan-1 1

Answers

Answer 1

Answer:

45 and 225degrees

Step-by-step explanation:

Given the expression

tan⁻¹1

Using the calculator

tan⁻¹1

tan⁻¹1  = 45degrees

Since tan is positive in the third quadrant

theta=  180 + theta

theta = 180 + 45

theta = 225degrees

Hence the values of theta are 45 and 225degrees


Related Questions

There are six bottles and five cans on a table. Three bottles have water in them and one can has water in it. What is the probability of randomly selecting a container with no water?

64%

81%

76%

100%

Answers

Answer:

64%

Step-by-step explanation:

There are 11 containers in total, in which 4 are filled. 11-4=7.

7×100=700÷11=63.6363...

rounded=64

While reading a book, Shara
estimates that she is 75%
finished. If she has read 216
pages, then how long is the
book?

Answers

Answer:

288 pages

Step-by-step explanation:

Step 1: Set up a fraction (Since 75% is 216, 100% is x. We don't need the percent (%).)

[tex]\frac{216}{75} = \frac{x}{100}\\\\[/tex]

Step 2: Solve; Divide the given values (All we are doing is finding what is between those values.)

[tex]\frac{216}{75}\\\\216 \div 75\\\\= 2.88[/tex]

Step 3: Multiply the result to the value (Now we multiply the result to 100 because that would make it equal.)

[tex]100\\\\2.88 \times 100\\\\= 288[/tex]

Therefore, the book is 288 pages long.

please help and show work

Answers

Answer:

1. 23

2. 8

Step-by-step explanation:

1. 180-157 = 23

2. 15²+x²=(9+x)²

225 +x²=81+18x +x²

225-81=18x

144 = 18x

x = 144/18 = 8

Help me this is giving my head a brain poop

Answers

Answer:

I suck at algebra. your on your own for this one buddy

Answer:

40 minutes

Step-by-step explanation:

I don't think the number of players affect the amount it takes to play the piece. The answer is probably still 40 minutes

An angle measures 110.8° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

34.6 and 145.4

Step-by-step explanation:

x+(x+110.8) = 180

2x= 180-110.8

2x= 69.2

x= 34.6

Measure of each angle:

x= 34.6

x+110.8 = 34.6 + 110.8 = 145.4

A different car can travel 30.5 miles for every gallon of gas used.

Use proportional reasoning to find the value of x that completes the table showing this relationship.

Answers

Answer:

91.5

Step-by-step explanation:

If the table is asking for the amount of miles travelled on 3 gallons of gas, you get 3 * 30.5 = 91.5

This is because one gallon gives 30.5 miles and if you have three gallons, you get 30.5 + 30.5 + 30.5 which is the same as 3 * 30.5

Paul ran 12 miles in 1 hour and 36 minutes. What was Paul's average rate, in minutes per mile?

Answers

Answer:

8 miles per minute

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

8 minutes per mile

Find the value of x for the given triangle.
12
19°
Х

Answers

Answer:

180

Step-by-step explanation:

It is one. A strait line so it is 180

Write with fractional exponents.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]y^\frac{2}{3}[/tex]

»»————- ★ ————-««  

Here’s why:  

We are supposed to rewrite a radical expression as an expression with fraction exponents.

⸻⸻⸻⸻

The rule for a fraction exponent is:

[tex]a^{\frac{x}{y}}=\sqrt[y]{a^x}\\\\\\\huge\boxed{\frac{\text{Power}}{\text{Root}}}[/tex]

⸻⸻⸻⸻

We are given the expression of [tex]\sqrt[3]{y^2}[/tex].

⸻⸻⸻⸻

[tex]\boxed{\text{Rewriting the expression:}}\\\\\sqrt[3]{y^2}\\\\\text{The '3' is the root and the '2' is the power.}\\\\\rightarrow \sqrt[3]{y^2} \\\\\rightarrow {y^{\frac{2}{3}}[/tex]

⸻⸻⸻⸻

[tex]\text{The answer should be: } \boxed{y^\frac{2}{3} }[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

y is inversely proportional to x.
When =9, y = 8.
Find y when x= 6.

Answers

Answer:

y=12

Step-by-step explanation:

y is inversely proportional to x

y=k/x

k is a constant of proportionality

k=yx

y1x1=y2x2

8(9)=y2(6)

y2=8(9)/6

y2=12

What is 150 mm in metres (m)?
A.0.015
B.0.15
C.1.5
D.15

Answers

Answer:

.15 meters

Step-by-step explanation:

answer is B

Step-by-step explanation:

150 mm is 0.15 metres

What are the center and radius of the circle defined by the equation
x2 + y2 - 6x+8y +21= 0 ?

Answers

Answer:

the center is (3, -4) and the radius is = 2

Step-by-step explanation:

PLEASE HELP!!!

ABC maps the outline of a new park. What is the area of the park?

the multiple choice answers are in the photo

Answers

Answer:

[tex]Area = 10[/tex]

Step-by-step explanation:

Given

[tex]A = (2,1)[/tex]

[tex]B =(4,7)[/tex]

[tex]C =(6,3)[/tex]

Required

The area of the park

The outline is a triangle and as such, the area is calculated using:

[tex]Area = \frac{1}{2}|(x_1y_2 - x_2y_1) + (x_2y_3 - x_3y_2) + (x_3y_1 - x_1y_3)|[/tex]

This gives:

[tex]Area = \frac{1}{2}|(2*7 - 4*1) + (4*3 - 6*7) + (6*1 - 2*3)|[/tex]

Using a calculator, we have:

[tex]Area = \frac{1}{2}|-20|[/tex]

Remove absolute bracket

[tex]Area = \frac{1}{2}*20[/tex]

[tex]Area = 10[/tex]

Find the slope please!

Answers

Answer:

slope = -3 and equation of line is y = -3x+16

Step-by-step explanation:

two points, (0,16), and (2,10)

rise/run: y2-y1/x2-x1 = 10-16/2-0 = -6/2 = -3

there are 80 people in the audience and 10% have green eyes how many people have green eyes

Answers

Answer:

8

Step-by-step explanation:

take the number of people in the audience and multiply by the percent that have green eyes to determine the number with green eyes

80 * 10 %

Change to decimal form

80 *.10

8

Answer:

so, as given 10% have green eyes,

10% of 80

10/100×80

800/100

=8

so 8 people have green eyes

Will mark the correct answer brainliest

Answers

Answer:

How long the ball was in the air

Step-by-step explanation:

3.5 seconds is the amount of time that the ball's height starts from 0 meters and ends to 0 meters.

Answer:

How much  long was the ball was in the air

Step-by-step explanation:

mark brainliest

How much paper is needed to cover a square-based pyramid with sides that are 3 inches and faces that have a height of 5 inches?

Answers

Answer:You get 21 Square inches i believe

Step-by-step explanation:

Answer:20

Step-by-step explanation:

PLS HELP ASAP
List all of the possible outcomes of head and tails when you toss four coins at the same time.

Answers

Answer:

2 x 2 x 2 x 2 = 16 possible outcomes

You have two sides of a coin, you flip 4 coins.

Now we just multiply 2 by itself 4 times.

Answer:

Tails, Head, Tails, Head

Tails, Tails, Head, Head

Head, Head, Tails, Tails

Head, Tails, Head, Tails

Tails, Tails, Tails, Head

Tails, Tails, Head, Tails

Tails, Head, Tails, Tails

Head, Tails, Tails, Tails

Head, Head, Head, Tails

Head, Head, Tails, Head

Head, Tails, Head, Head

Tails, Head, Head, Head

​Tails, Tails, Tails, Tails

Head, Head, Head, Head

Find the value of x

Answers

because its isosceles so 9+9=x²

and x equal

2√3

Answer:

(3/2)√2

Step-by-step explanation:

Here the ratio of x to 3 is the sine of the 45 degree angle.

Thus:

 x       √2

----- = -------

 3         2

Cross multiplying, we get 2x = 3√2, so that x must be (3/2)√2

What does it mean to square a number? Provide an example to support your answer.

Answers

Answer:

When squaring a number it is essentially taking a number and multiplying it by itself. For example, 5^2 is 5×5 (=25).

i have no idea what this means pls help lol

Answers

I’m not 100% if this is the answer I think it’s. B<-4 or b>-3

Is this a right triangle?

Answers

Answer:

yes

Step-by-step explanation:

it has a 90 degree angle

Tabitha was shooting free throws in gym class. She completed 7 of the shots, which was a third of 4 more than Joan completed. What is the number of free throws, n, that Joan completed?]

Answers

Answer:

17

Step-by-step explanation:

the following equation can be derived from the question

7 = 1/3(4 + n)

multiply both sides of the question by 3

21 = 4 + n

combine like terms

21 - 4 = n

n = 17

A bag contains 4 red, 2 blue, 6 green and 8 white marbles. What is the probability of selecting a green marble, replacing it, then selecting a red marble

Answers

Answer:

14.7%

Step-by-step explanation:

Being that there is 4 red, 2 blue, 6 green, 8 white, that means there is 20 marbles, with 8 success, 8/20. Since the marble is not replaced, that drops it to 7/19 for the second pull. Multiply these together and you get 14.7%.

(8/20)*(7/19)=.147

.147*100=14.7

Solve for x algebraically, x - 15 < 25

Answers

Answer:

x<40

Step-by-step explanation:

x-15<25

Add 15 since addition is opposite of subtraction, thus cancelling the 15 out on both sides.

x-15<25

 +15 +15

x<40

---

hope it helps

A set of twenty cards is labeled 1 through 20. Anna draws one card randomly. What is the probability that Anna will draw an even number greater than 10?

Answers

Answer:

50% chance

Step-by-step explanation:

I GIVE BRAIN LEST Which of the following is true about an

estuary?

It is all fresh water.

It is all salty water.

It has very few organisms.

It is affected by tides.

Answers

Answer:   D) It is affected by tides.

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

Explanation:

An estuary is where a river pours into the ocean. So that means fresh water mixes with salt water here. This allows us to rule out choices A and B.

According to NOAA, their site says "Estuaries are one of the most productive ecosystems in the world, so there is a great diversity of animals and plants that live there". In other words, a lot of plants and animals live here, so we can rule out choice C.

Choice D is the answer because tides do affect estuaries. This is simply because the ocean is pretty much right next to it, or attached to it. So it's expected that a high tide would cause the water level in an estuary to increase.

Answer:

it is affected by tides that's the conclusion I have come to

find x please help me this is due soon and I don’t know what to do

Answers

Answer:

116

Step-by-step explanation:

a line is 180 degrees so subtract 64 and you get 116, that is your angle

Given: these two lines are parrallel cut by a transversal, 4 is 64 degrees

because 4 is given we know 6 is also 64 becasue they are alternative interior angles

all straight lines measure to 180 degrees so 3 and 5 become 116 because 180-64=116 (we also know these lines are parallel becasue 4 and 5 are supplementary, they add up to 180 as well.)

becasue 5 is 116 8 needs to be 64 and becasue 8 is 64 to equal 180 7 needs to be 116 (again, they need to add up to 180 becasue they are a straight line)

pleaseee helpp im giving away good points

Answers

Answer:

x = 1°

Step-by-step explanation:

Bisection means splitting the angle in to 2

So that means 4x-1 = 2x+1

4x-1 = 2x +1

4x = 2x + 2

2x = 2

x = 1°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Juan tiene que salir de su casa a estrenar futbol 20 minutos antes de las 4 PM. Escribe 4 formas diferentes de decir esa hora

Answers

Respuesta:

03:40 pm;

15: 40;

20 minutos antes de las 4 pm;

40 minutos después de las 3 pm

Explicación paso a paso:

20 minutos antes de las 4 de la tarde se pueden expresar de las siguientes formas:

Basado en un tiempo de 12 horas, podría escribirse tiene: 3: 40 pm

Usando el formato de reloj de 24 horas; donde 3 pm es equivalente a 15; por lo tanto, podría escribirse como: 15:40

Además, el tiempo se puede informar en palabras de la siguiente manera:

20 minutos antes de las 4 pm

También ;

40 minutos después de las 3 pm

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