Use the Unit Circle to find the exact value of the inverse trig function.

Use The Unit Circle To Find The Exact Value Of The Inverse Trig Function.

Answers

Answer 1

Answer:

330

Step-by-step explanation:

When we are at 30 degrees on the unit circle, we are at the point ([tex]\sqrt3[/tex]/2, 1/2) so if we go to -30 degrees (330 degrees), we will be at point  (-[tex]\sqrt3[/tex]/2, -1/2).

Note: (cosine, sine)


Related Questions

Tell weather -5 is a solution of y + 8 > 3.

Answers

Answer:

-5 is your answer.

Step-by-step explanation:

[tex]=y+8>3\\\\=y+8-8>3-8\\\\[/tex] [Subtracting 8 in both sides]

[tex]=y>-5[/tex]

Pls answer this line problem

Answers

Answer:

2 1/4

Step-by-step explanation:

how am i supposed to explain this (wait until someone else answers aswell im not that smart)

5. The science class is raising monarch caterpillars.
One of the caterpillars weighs 2.3 ounces.
About how many grams does the caterpillar
weigh? Round to the nearest tenth.

Answers

Answer:

  65.2 g

Step-by-step explanation:

1 ounce is approximately 28.35 grams. So, 2.3 ounces is ...

  (2.3 oz) × (28.35 g/oz) ≈ 65.2 g

The caterpillar weighs approximately 65.2 grams.

_____

Additional comment

The exact conversion is 1 oz = 28.349523125 g. For a 3-significant figure answer, we only need a conversion factor accurate to 4 significant figures.

if f(x)=3x-9 and g(x)=-x^2, then g(f(2))=

Answers

Answer:

g(f(2)) = -9

Step-by-step explanation:

You work from the inside out...

To find g(f(2)), you must first find f(2).  f(2) = 3(2) - 9 = 6 - 9 = -3.

Now find g(-3).  g(-3) = -(-3)^2 = -9.

Tell whether the ordered pair (−1, 4) is a solution of the system.
-2x-3y=-10
-3x+y=7
True or False

Answers

Answer:

True because when you substitute the x coordinate to find the value of y =4 and the coordinate is 4

Answer:

True

Step-by-step explanation:

[tex]\left \{ {{-2x-3y=-10} \atop {-3x+y=7}} \right.[/tex]

Rearrange like terms to the same side of the equation:

[tex]\left \{ {{-2x-3y=-10} \atop {y=7+3x}} \right.[/tex]

Substitute into one of the equations:

[tex]-2x-3(7+3x)=-10[/tex]

Apply the Distributive Property:

[tex]-2x-21-9x=-10[/tex]

Combine like terms:

[tex]-11x-21=-10[/tex]

Rearrange variables to the left side of the equation:

[tex]-11x=-10+21[/tex]

Calculate the sum or difference:

[tex]-11x=11[/tex]

Divide both sides of the equation by the coefficient of variable:

[tex]x=-\frac{11}{11}[/tex]

Cross out the common factor:

[tex]x=-1[/tex]

Substitute into one of the equations:

[tex]y=7+3[/tex] × [tex](-1)[/tex]

Calculate:

[tex]y=4[/tex]

The solution of the system is:

[tex]\left \{ {{x=-1} \atop {y=4}} \right.[/tex]

Express solutions in ordered pairs:

[tex](-1,4)[/tex]

Determine whether [tex](-1,4)[/tex] and [tex](-1,4)[/tex] are equivalent:

True

BC=B, C, equals
Round your answer to the nearest hundredth.

Answers

Answer:

...

Step-by-step explanation:

WHat THE hAIL I DONT EVEN KNO WHAT UR ASKING MY BOY

Which ratio represents Cos A?

Answers

C because since it is next to A than it would be 33/65

31. You work 35 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you earn the most?
• $32,000/year
© $18.50/hour
• $30,000/year with a 5% bonus
) $17.50/hour and a $1,500 bonus at the end of the year

Answers

Answer:

Option B

Step-by-step explanation:

Calculate and compare:

A) $32000B) $18.5*35*52 = $33670C) $30000 + 5% = $30000 + $1500 = $31500D) $17.5*35*52 + $1500 = $33350

(PLEASE HURRY! WILL AWARD BRAINLIEST)
Find the value of x to the nearest tenth. Show your work.

Answers

8.3/6.7=x/11.6
Cross multiply and you get 6.7x=96.28
Solve and you get 14.3701
Then you round to the nearest 10th so your answer is 14.4 for the missing length



324 ft

Flagpole

shadow

40 ft

The diagram above shows a 40-foot flagpole and its shadow in relation to a nearby building that is

324 feet tall. If the flagpole's shadow is 50% longer than the flagpole itself, how far is the

building from the flagpole?

Answers

The distance between the flagpole and the building is the number of feet between them

The building is 162 feet from the flagpole

How to determine the distance

The given parameters are:

Flagpole = 40 feetBuilding Shadow = 324 feet

The flagpole's shadow is 50% longer than the flagpole.

So, the length (l) of the flagpole's shadow is:

[tex]l = 40 * (1 + 50\%)[/tex]

[tex]l = 60[/tex]

The length of the building's shadow (d) is then calculated as:

[tex]60 : 40 =d : 324[/tex]

Express as fraction

[tex]\frac{60}{40}= \frac{d}{324}[/tex]

[tex]1.50 = \frac{d}{324}[/tex]

Solve for d

[tex]d = 1.50 * 324[/tex]

[tex]d = 486[/tex]

The distance (x) of the building from the flagpole is then calculated as:

[tex]x = 486 - 324[/tex]

[tex]x = 162[/tex]

Hence, the building is 162 feet from the flagpole

Read more about distance and bearing at:

https://brainly.com/question/11744248

please help me with this please

Answers

Answer:

3

……………………………………………………………………

Answer:

The answer is 3

Step-by-step explanation:

Function g is defined as
g(x)=f (x + c). What is the value of c?

Answers

Answer:

c= gx/f -x

Step-by-step explanation:

You're Welcome haha

Solve the equation.


-5/7 ● -21/55

Answers

Step-by-step explanation:

Multiply:

[tex] \frac{ - 5}{7} \times \frac{ - 21}{55} = \frac{105}{385} [/tex]

Divide each side by 35:

[tex] \frac{105 \div 35}{385 \div 35} = \frac{3}{11} [/tex]

Your simplified product is 3/11.

write 7 7/8 as a improper fracton

Answers

Answer:

63/8

Step-by-step explanation:

(7x8) + 7 = 63
keep the same dinominator

Answer: it would be 63/8 as an improper fraction

Step-by-step explanation:

i need help with math

Answers

Answer:

answer is y=-2x

Step-by-step explanation:

-2x because every time  the dot decreases

Use [tex]\sqrt{x}[/tex] Solve for x

Answers

Check the picture below.

and if you check your Unit Circle, you'd notice that those angles have an specific value.

[tex]\cfrac{15}{sin(60^o)}~~ = ~~\cfrac{x}{sin(45^o)}\implies \cfrac{15}{~~ \frac{\sqrt{3}}{2}~~}~~ = ~~\cfrac{x}{~~ \frac{\sqrt{2}}{2}~~}\implies \cfrac{15}{1}\cdot \cfrac{2}{\sqrt{3}}~~ = ~~\cfrac{x}{1}\cdot \cfrac{2}{\sqrt{2}}[/tex]

[tex]\cfrac{30}{\sqrt{3}}=\cfrac{2x}{\sqrt{2}}\implies \cfrac{30\sqrt{2}}{\sqrt{3}}=2x\implies \cfrac{30\sqrt{2}}{2\sqrt{3}}=x\implies \cfrac{15\sqrt{2}}{\sqrt{3}}=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{rationalizing the denominator}}{\cfrac{15\sqrt{2}}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{15\sqrt{6}}{3}}\implies \boxed{5\sqrt{6}=x}[/tex]

Can someone please help me find the answer to this question?

Answers

Answer:

pretty sure its d :)

Step-by-step explanation:

Answer: D

Step-by-step explanation:

To solve for the inverse of an equation, the first step is to rewrite f(x) as y.

This should leave you with the equation  y=[tex]\frac{3x}{5}[/tex]+3

Then switch y and x, which should leave you with x=[tex]\frac{3y}{5}[/tex]+3

Lastly, solve for y.

subtract 3 from both sidesmultiply both side by 5 divide both sides by 3

This should give you the final answer of D or y=[tex]\frac{5(x-3)}{3}[/tex]

The picture below gives a step-by-step picture.

There are 25 students and one teacher in class. After an exam, everyone high-fives
everyone else to celebrate how well they did. How many high-fives were there?

Answers

Answer:

300

Step-by-step explanation:

I think it will be 300 because

People High-Fives

2. 1

3. 3

4. 6

5. 10

6. 15

7. 21

8. 28

9. 36

10. 45.

There fore 10 people's high five will be 45 keep repeating and finding out the high fives I got 300 but I'm not sure if it's correct

The required number of high fives is 300.


Given that,
There are 25 students and one teacher in the class. After an exam, everyone high-fives everyone else to celebrate how well they did. How many high-fives were there is to be determined.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
There are 25 students
n = 25
For each high five, there would be at least 2 students,
r = 2

The number of high five is given by combination,
= 25 C 2
= 25 * 24 / 2
= 600 / 2
= 300

Thus, the required number of high fives is 300.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ2


Given the N values in a series, the geometric mean is
A. The third root of the product of N values.
B. The square root of the product of N values
C. The fourth root of the product of N values
D. The Nth root of the product of N values

Answers

Answer:

1,870

Step-by-step explanation:

Pls help in need
All appreciation​

Answers

The answer is X= 1/2, -5

3^2y-1 = (9)(27)^y-2 calculate the value of y

Thank you

Answers

Answer:

y = 3

Step-by-step explanation:

3^2y - 1 = (9)(27)^y - 2

3^2y-1 = 243^y - 2

log(243)/log(3) = 5

2y - 1 = 5(y - 2)

2y - 1 = 5y - 10

-5y      -5y

-3y - 1 = -10

     + 1    +1

-3y = -9

-3      -3

y = 3

PLEASE HELP FAST!!!!!

Bacchus bought 7 pounds of grapes for $3.43. What was the price for 1 pound of grapes?
Group of answer choices

$0.49

$0.46

$0.50

Answers

3.43 / 7 = 0.49 so the answer is $0.49

A brownie recipe ask for four and two thirds times as much sugar as chocolate chips. If three and one half cups of sugar is used, what quality of chocolate chips would then be needed according to the recipe

Answers

Answer:1 cup of chocolate chips for every 1and 3/4 cup of flour

so divide 4 and 2/3 x 1 and 3/4

turn them both into fractions

4 2/3 = 14/3

1 3/4 = 7/4

14/3 / 7/4 = 14/3 x 4/7 = 56/21 = 2 and 2/3 cups of chocolate chips are needed

Step-by-step explanation:

help PLEASEEE
Given that Segment AD=29, AE=21 and CE=99, find the indicated measures for x, y, and perimeter of kite ABCD.

Answers

Answer:

DE = BE = x

x = 29² - 21²

= √400

= 20

x = 20

y = 20² + 99²

= √10201

= 101

y = 101

perimeter of kite ABCD : 29 + 29 + 101 + 101

= 260

Help please! I don’t have many points!

Answers

Answer:

110°

Step-by-step explanation:

Angles don't change if both are same shape (gradient)

Allison is saving money to buy a new phone that costs $600 by selling her graphic designs. She is using an app to manage her sales, but it keeps a fraction of each sale. Her net pay is modeled by the function P(x) = x2 + 18x – 160, where x represents the number of sales. How many sales does Allison to make to earn $600?

9 sales
20 sales
38 sales
841 sales

Answers

Answer:

20 sales.

Step-by-step explanation:

p(x) = x² + 18x – 160

Here p(x) represents the net pay.

Given that p(x), net pay is $600

x² + 18x – 160 = 600

x² + 18x – 160 - 600 = 0

x² + 18x – 760 = 0

x² +38x - 20x - 760 = 0

x(x+38) - 20(x+38) = 0

(x-20)(x+38) = 0

x = -38, 20

x = 20

Therefore, she makes 20 sales in order to make $600.

Answer: 20 sales.

Proof of validity is shown below.

PLEASE HELP i have been on this question forever

Answers

Answer:

1520.5

Step-by-step explanation:

The area of a circle is pi times r^2. r stands for radius. r, which is 22 squared is 484, Multiply that with pi and you have your answer.

Answer:

The area of circle is 1520.5 in².

Step-by-step explanation:

DIAGRAM :

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large{22\ in}}\end{picture}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Here's the required formula to find the area of circle :

[tex]\longrightarrow{\sf{A_{(Circle)} = \pi{r}^{2}}}[/tex]

A = Area π = 3.14 r = radius

Substituting all the given values in the formula to find the area of circle :

[tex]{:\implies{\tt{A_{(Circle)} = \pi{r}^{2}}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(22)}^{2}}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(22 \times 22)}}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(484)}}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 3.14 \times 484}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 1520.53}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} \approx 1520.5}}}[/tex]

[tex]{\star{\boxed{\tt{A_{(Circle)} \approx 1520.5 \: {in}^{2}}}}}[/tex]

Hence, the area of circle is 1520.5 in².

[tex]\rule{300}{2.5}[/tex]

Multiply: 1 1/6 x 6/11 =

Answers

Solution:

To solve a mixed fraction multiplication problem, you must:

Convert the fractions into improper fractions. (If the fractions are proper, you can skip this step.)Simplify the fractions If possible. (If it is not possible, you can skip this step.)Multiply the fractions (numerator with numerator and denominator with denominator).

After reviewing how to multiply an improper fraction, let's solve the multiplication problem.

1 1/6 x 6/11=> (6 + 1)/6 x 6/11 [According to step 1]=> 7/6 x 6/11 => 7/1 x 1/11 [According to step 2]=> 7 x 1/11 x 1 [According to step 3]

The solution to the multiplication problem is 7/11.

[tex] \bf \nrightarrow \: 1 \frac{1}{6} \times 6 \frac{6}{11} [/tex]

Convert the mixed fraction to improper fraction by Multiplying the denominator with the integer and adding the numerator to the product of denominator and integer

[tex] \sf \underbrace{1 \frac{1}{6} = \frac{7}{6} }[/tex]

Now, Multiply the fractions

[tex] \bf \: \frac{7}{6} \times \frac{6}{11} [/tex]

Multiply the numerators and denominators

[tex] \bf \nrightarrow \: \frac{7 \times \cancel 6}{ \cancel6 \times 11} [/tex]

[tex] \boxed{ \sf \: ans \multimap \: \frac{7}{11} }[/tex]

Grandma Millie is shrinking! Her height decreases by \dfrac{1}{4} \text{ cm}
4
1

cmstart fraction, 1, divided by, 4, end fraction, start text, space, c, m, end text each year.
What is her total change in height over 333 years?

Answers

Answer:

83.25 cm

Step-by-step explanation:

1/4(x) cm

x= time

1/4(333)

or 333/4

her height changes

83.25 cm

Help me out please! CORRECT PLEASE i will mark brainliest

Answers

Answer:

the answer for 2 is given answer for 1 is  trans prop of answer for 3 is knl and answer for 4 is  nkl

Step-by-step explanation:

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