Solve the equations below exactly. Give your answers in radians, and find all
possible values for t in the interval 0 (less than or equal to ) t (less than or equal to) 2 pi
If there is more than one
answer, enter your solutions in a comma separated list.

(a) sin (t) = - square root of 3 divide by 2
when t=

(b) cos (t) = 1/2
when t=

Answers

Answer 1

Answer:

See below (along with unit circle attached)

Step-by-step explanation:

[tex]sin(t)=-\frac{\sqrt{3}}{2}[/tex]

[tex]t=\frac{4\pi}{3},\frac{5\pi}{3}[/tex]

[tex]cos(t)=\frac{1}{2}[/tex]

[tex]t=\frac{\pi}{3},\frac{5\pi}{3}[/tex]

It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by [tex](cos(\theta),sin(\theta))[/tex] where [tex]\theta[/tex] is measured in radians.

Solve The Equations Below Exactly. Give Your Answers In Radians, And Find Allpossible Values For T In

Related Questions

3/4+x=2x−x+_
Make equation have infinite solutions in the blank

Answers

Answer:

3/4

Step-by-step explanation:

3/4+x=2x−x+_

2x-x is x

So the equation is now

3/4+x=x+_

So to have infinite solutions, we will have to get both of the sides the same value

Since there is already an x on both sides we don't have to worry about it

Now there isn't a 3/4 on one side so we can just add that to the blank side, thus creating an infinite solution equation

Hope this helps!

Josh has $72 in his bank account, and earns $7 each
week. Aurora has $82 in her bank account, and earns $5
each week.
At how many weeks will they have the same amount of
money in their bank accounts, and how much will that be?

Answers

Answer:

week 5 and 107 dollars

Step-by-step explanation:

r less than one-eighth

Answers

Answer:

what did you mean

Step-by-step explanation:

is not a question

B. Analyze the problem below and answer the questions that follow. a monthly salary of Php 18.500 Complete the table below which shows the deductions on Bianca has her payslip Name Bianca Ramos Assistant For the month of September 2020 Basic Salary 18,500 00 Position Financial Allowances Total Earnings 18.500 00 DEDUCTIONS Description SOCIAL SECURITY SYSTEM MEDICARE (PHILHEALTH) PAGIBIG (FUND) BIR (WITHHOLDING TAX) Amount of Deduction (11) (12) (13) (14). Total Deductions (15) NET PAY (16)​

Answers

The completed table showing Bianca Ramos's tax deduction and NET PAY

is presented as follows;

SOCIAL SECURITY SYSTEM = Php 1,147

MEDICARE (PHILHEALTH) = Php 268.25

PAGIBIG (FUND) = Php 370

BIR (WITHHOLDING TAX) = Php 5,509.19

Total deductions = Php 7,294.44

NET PAY = Php 11,205.56

Reasons:

Based on online search, the tax rate for the items on the table are as follows;

SOCIAL SECURITY SYSTEM = 6.20% of earnings

MEDICARE (PHILHEALTH) = 1.45% of earnings

PAGIBID (FUND) = 2% of salary

BIR (WITHOLDING TAX) = P1,342.47 + 32% over P5,479

Bianca Ramos's basic salary = 18,500.00

Which gives the deduction amount as follows;

SOCIAL SECURITY SYSTEM = 0.062 × 18,500.00 = 1,147

MEDICARE (PHILHEALTH) = 0.0145 × 18,500.00 = 268.25

PAGIBIG (FUND) = 0.02 × 18,500.00 = 370

BIR (WITHHOLDING TAX) = 1,342.47 + 0.32×(18,500 - 5,479) = 5,509.19

Total deductions = 1,147 + 268.25 + 370 + 5,509.19 = 7,294.44

NET PAY = 18,500 - 7,294.44 = 11,205.56

Her net pay = Php 11,205.56

Learn more about tax systems here:

https://brainly.com/question/8434128

Max worked for 2/3 hour. It takes 1/6 hour to make one card. How many cards has Max made? Provide students with fraction bars or guide them in creating a tape diagram as they work in pairs to solve.​

Answers

Answer: Max has 4 cards.

Step-by-step explanation: 2/6 is equal to 1/3 so 4/6 is equal to 2/3

Also an easier way is to divide 4 by 2 to get 2 and 6 by 2 to get 3.

Answer:

4 cards

Step-by-step explanation:

Each card takes  [tex]\frac{1}{6}[/tex] of an hour to be completed, and Max works for [tex]\frac{2}{3}[/tex] of an hour, so Max must've completed x amount of cards in

[tex]\frac{1}{6} x=\frac{2}{3}[/tex]

And we can solve the equation by multiplying the reciprocal of [tex]\frac{1}{6}[/tex] , which is [tex]\frac{6}{1}[/tex],to solve for x:

[tex]\frac{6}{1} * \frac{1}{6} x = \frac{2}{3} * \frac{6}{1} \\ \frac{6 *1}{6*1} x=\frac{2*6}{3*1} \\ \frac{6}{6} x=\frac{12}{3} \\[/tex]

And for any fraction, if the denominator and the numerator are the same number (except for 0), then it will result in 1.

[tex]1x=\frac{12}{3}[/tex]

The 1 isn't necessary when multiplying it with a variable, so we can simply remove it:

[tex]x=\frac{12}{3}[/tex]

And we can simplify the fraction...:

[tex]x=4[/tex]

And we are done!

Couldn't make a fraction bar but hopes this helps :(

help me please please​

Answers

Answer:

its 3 OR C

Step-by-step explanation:

Help help hep hep math

Answers

Answer:

f(3) = 2

Step-by-step explanation:

f(3) = 2(3) - 4

f(3) = 2

Approximately what portion of the box is shaded blue?

A.1/3
B.1/10
C. 1/6

Answers

B because I got it right

pls answer asap!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2rr

Step-by-step explanation:

Answer:

The domain is the x-values from least to greatest, while the range is the y-values from least to greatest. For this problem, domain would be [3, 18] and range would be [-12, 15].

Step-by-step explanation:

Since we know domain is the x-values listed from smallest to largest, we can order our values that way:

(3, -1), (5, 15), (7, -1), (11, -12), (18, -6).

3<5<7<11<18

That means the range is (3, 18). However, since both 3 and eighteen are included in the set, we use brackets. [3,18], putting the smaller number first, followed by a comma, and then the bigger number.

We will do the same for the range.

(11, -12), (18, -6), (3, -1), (7, -1), (5, 15)

-12<-6<-1=-1<15

This means the range is (-12, 15). Since -12 and 15 are included in the set of values, we use brackets. [-12, 15].

How many ways are there to select 3 candidates from 8 equally qualified recent graduates for
openings in an accounting firm?

Answers

Step-by-step explanation:

How many ways are there to select 3 candidates from 8 equally qualified recent graduates for

openings in an accounting firm?

Please help me answer

Answers

Answer: Second Choice

Step-by-step explanation:

Find the least common multiple of 8y^2 and 7m

Answers

Answer:   [tex]56y^2m[/tex]

which is the same as writing 56y^2m

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

Explanation:

Let's focus on the coefficients 8 and 7 for now.

To find the LCM of those values, list out the multiples. Circle the smallest number that can be found in both sets at the same time.

multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, ...multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, ....

We see that 56 is the LCM of 7 and 8.

Or you could use this shortcut

LCM = (x*y)/GCF

where x and y are the two numbers. The mention of "GCF" refers to the GCF of x and y. In this case, the GCF is 1 so,

LCM = (x*y)/GCF = (8*7)/1 = 8*7 = 56.

----------------------

Once we determine that, we look at the variable terms now.

The y^2 and m will be tacked onto the 56 to arrive at the final answer 56y^2m

This is because y and m are the unique variables, and we go for the highest exponent of each. It's similar to the LCM formula used earlier.

Help me out please???

Answers

Answer:

5

Step-by-step explanation:

The interquartile range is Q3-Q1.

in this problem, Q3=7 and Q1=2

To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?​

Answers

1.5 cups per cup. cups/cake
6 cups/ 4 cakes
= 1.5 cups per cake

Answer:

Step-by-step explanation:

So 4 cakes = 6 sugars, right so try taking it slow and think to yourself, 3=? then take it even slower until you go to 1=0.67 repeated

Find the projection of u onto v.
- Is the answer on the bottom correct?

Answers

V x U -5 and -1 and subtract 0

Which quadrilateral is a trapezoid?

Answers

Answer:

Hey mate!

Step-by-step explanation:

A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)

pls mark me as brainliest!!

NEED HELP RN!!! PLS ☹️

Answers

Answer:

show the screen clearer !

Step-by-step explanation:

At a local movie theatre, sodas cost$4.50 and bags of popcorn cost &1.50. Kirk buys three times as many bags of popcorn as sodas and pays a total of $36. Write a system of equations and solve it using any method to determine how many of each item Kirk bought.

Answers

Answer:

this might help

Step-by-step explanation:

this might be kinda similar

Chickens and rabbits

In the yard were chickens and rabbits. Together they had 18 heads and 56 legs. How many chickens and how many rabbits were in the yard?

Correct answer:

chickens:  8

rabbits:  10

Step-by-step explanation:

a+b=18

2a+4b=56

a=8

b=10

a+b = 18

2•a+4•b=56

a+b = 18

2a+4b = 56

a = 8

b = 10

You earn $8.45 an hour. How much would you make for a 40-hour week, before taxes are withheld?
giving crown

Answers

Answer:

278.5

Step-by-step explanation:

whats 5+5? please help quick quick quick

Answers

Answer:

It's 10 lol

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Because it is

Solve for k.
k/4+ 3= 14

Answers

Answer:

k/4+3=14

First you need to isolate the variable.

multiply both sides by 4

Evaluate 4x^2 y^-3 for x=3 and y=-2

Answers

Answer:

36   and -1/8

Step-by-step explanation:

x^2 = 3^2 = 9 * 4 = 36

y^-3 = (-2)^-3 = -1/8

Answer:

-4.5.

Step-by-step explanation:

4x^2 y^-3

= 4x^2 / y^3

When x = 3 and y = -2

it is 4(3)^2 / (-2)^3

= 36 / -8

= -4.5.

Find the expected value of the winnings from a game that has the following payout probability distribution: Payout ($) 1 2 5 8 10 Probability 0.35 0.2 0.1 0.2 0.15 = Expected Value = [?] Round to the nearest hundredth. Enter​

Answers

Multiply each payout by the corresponding probability, and add these up:

1•0.35 + 2•0.2 + 5•0.1 + 8•0.2 + 10•0.15 = 4.35

So one can expect to win $4.35 from playing the game.

I don’t understand, please help

Answers

Answer:

cosA=root8/3 is the answer

The polygons below are similar. Find the value of y

Answers

Answer:

y = 21

Step-by-step explanation:

the perimeter of a square is 44 cm find the area​

Answers

Answer:

The given perimeter is \[44cm\]. Hence, the area of the given square is \[121c{m^2}\].

Step-by-step explanation:

121cm

Perimeter = sum of all sides

A square has 4 equal sides, therefore 44/4 = 11, so the length of each side in the square is 11cm.

Area of square = length x width

Area = 11 x 11

Area = 121cm

Which choice is equivalent to the product below?
14.6
O A. 125
B. 6-28
C. 2-21
D. 28

Answers

Answer:

2√21

Step-by-step explanation:

1) Simplify.

√84

2) Simplify √84 to 2√21.

2√21

what is the equation of the circle graphed. ​

Answers

Answer:

Since the logarithmic function is define for ×>-3,thus,the graph has a vertical asymptote at ×=-3.

Helppp! I dont completly get the conceptttt

Answers

1/7 is a
0.2 is b
3/9 is c

Hope you find this helpful!
Brainliest and a like is much appreciated!

Adelita, Elena, Betina, and Bianca each work as a doctor, lawyer, teacher, or banker. From these clues, decide who is the doctor.

Answers

Answer: betina or adelita

Step-by-step explanation: hope it helps

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