Mathematics College

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Answers

Answer 1

The given measure of the angle in standard form, -17•π/6, gives;

A. The terminal side of the angle, -17•π/6 is located in the third quadrant

B. The reference angle is 150°

C. The values of the six trigonometric functions are;

cos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = √3

What are trigonometric ratios?

Trigonometric ratios relates an angle to the ratio of the sides of a right triangle containing the angle.

A. The given measure of the angle is -17•π/6

2•π radians = 360°

π radians = 180°

-17•π/6 = -(2+(5/6))•π

Therefore, the terminal side makes one complete revolution clockwise starting from the x–axis, it then makes a further -(5/6)•π, clockwise, which is -(5/6)×180° = -150°

The terminal side therefore moving clockwise, passes the fourth quadrant and stops at the third quadrant at -150°, which is equivalent to 210° clockwise rotation from the x–axis

The terminal side is in the third quadrant

B. The reference angle is the acute angle between the terminal side and the x–axis

Therefore;

The reference angle is 150°

C. The six trigonometric functions are;

cosine, sine, tangent, cotangent, secant, and cosecant

cos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2/(√3) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = 3/(√3) = 3•√3/3 = √3

Learn more about trigonometric ratios here:

https://brainly.com/question/11967894

#SPJ1

Answer 2

Answer: I hope this helpful

Step-by-step explanation:

The given measure of the angle in standard form, -17•π/6, gives;A. The terminal side of the angle, -17•π/6 is located in the third quadrantB. The reference angle is 150°C. The values of the six trigonometric functions are;cos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = √3What are trigonometric ratios?Trigonometric ratios relates an angle to the ratio of the sides of a right triangle containing the angle.A. The given measure of the angle is -17•π/62•π radians = 360°π radians = 180°-17•π/6 = -(2+(5/6))•πTherefore, the terminal side makes one complete revolution clockwise starting from the x–axis, it then makes a further -(5/6)•π, clockwise, which is -(5/6)×180° = -150°The terminal side therefore moving clockwise, passes the fourth quadrant and stops at the third quadrant at -150°, which is equivalent to 210° clockwise rotation from the x–axisThe terminal side is in the third quadrant B. The reference angle is the acute angle between the terminal side and the x–axisTherefore;The reference angle is 150°C. The six trigonometric functions are;cosine, sine, tangent, cotangent, secant, and cosecantcos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2/(√3) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = 3/(√3) = 3•√3/3 = √3Learn more about trigonometric ratios here:brainly.com/question/11967894#SPJ1Explore all similar answersTHANKS 25.0(3 votes)Need a bit more clarification? Get a high-quality answer with step-by-step explanations from a professional in just minutes instead!GET A VERIFIED ANSWERAdvertisementStill have questions?FIND MORE ANSWERSReady to dive into rabbit hole and unlock a badge.ASK YOUR QUESTIONHelp others with Mathematics questions+1 NEW QUESTION6 minutes agoFirst questionA regular hexagon and a regular pentagon have the same perimeter. All measurements are given in centimetres. The hexagon has a side length given by 7m +3. The pentagon has a side length given by 8m + 6. Work out the value of m.ADD ANSWER+5017 minutes ago(y)/(a)-b=(y)/(b)-a if a is not equal to bADD ANSWER+523 minutes agoFirst questionProducts A and B are made according to the bill of materials diagram shown below. Scheduled quantities of the end products are, for A, 95 units in week 4, 150 units in week 6, and 130 units in week 8, and for B, 80 units in week 3, 70 units in week 6. Lead-times: A = 2 weeks, B = 1 week.ADD ANSWER+524 minutes agoFind the compound interest earned by the deposit. Round to the nearest cent. 1) $3000 at 5% compounded semiannually for 6 years 2) $700 at 8% compounded quarterly for 5 yearsADD ANSWER+725 minutes agoFind the simple interest and the final value of the deposit that earns the given rate for the indicated length of time. Round your answers to the nearest cent. $6282 earning 9% for 9 monthsADD ANSWER+5LOAD MOREPreviousNext

Related Questions

Solve each inequality.


x+4 >9 Write the inequality.

x + 4 -4 >9 -4 Subtract 4 from each side.

x,>5 Simplify.

Answers

Answer:

[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \hookrightarrow \: x > 5 }}}}}}}}[/tex]

Step-by-step explanation:

[tex]\tt{x + 4 > 9}\\\\\sf{Bring \: 4 \: to \: the \: right \: side \: of \: the \: equation}.\\\\\tt{x>9-4} \\\\\sf{Subtract \: 4 \: from \: 9 \: to \: get \: 5}\\\\\boxed{\sf{x > 5}} \dashrightarrow \mathfrak{Answer}[/tex]

______________

[tex]\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}[/tex]

Answer:

[tex] \displaystyle{x + 4 > 9}[/tex]

Subtract 4 from each side:

[tex] \displaystyle \: x + 4 - 4 > 9 - 4[/tex]

[tex] \displaystyle \: x > 5[/tex]

What the inverse of this question

Answers

Answer is

f(x) inverse = (1/5x)^1/3 +4

To make a batch of donuts, a baker separates a 6-pound batch of dough in half. Each half makes 12 equally sized donuts. What is the weight, in ounces, of each raw donut? (1 pound = 16 ounces)
A) 4
B) 6
C) 24
D) 48

Answers

C I am sure it is is C

Find the equivalent cash price of a $1500 monthly payment over two years assuming 18% interest compounded monthly.

Answers

Answer:

6480

Step-by-step explanation:

18% of 1500 is 270 x 24 for each month of 2 years and you get 6480

6840 that is the answer

Substitute this simultaneous linear equation
[tex]3x {}^{ - 1} - {4y}^{ - 1} = 5 \\ {2x}^{ - 1} + {3y}^{ - 1} = 7[/tex]
​

Answers

Answer:

[tex] {3x}^{ - 1} - {4y}^{ - 1} = 5 \: ....(1) \\ \\ {2x}^{ - 1} + {3y}^{ - 1} = 7 \: ....(2) [/tex]

__o__o__

[tex] \frac{1}{3x} - \frac{1}{4y} = 5 \: ....(1) \\ \\ \\ \frac{1}{2x} + \frac{1}{3y} = 7 \: ....(2)[/tex]

From equation (1) ;

[tex] \frac{1}{3x} - \frac{1}{4y} = 5 \\ \\ \frac{1}{4y} = \frac{1}{3x} - 5 \\ \\ \frac{1}{4y} = \frac{1 - 15x}{3x} \\ \\ \\ 4y(1 - 15x) = 3x \\ \\ 4y = \frac{3x}{1 - 15x} \\ \\ y = \frac{3x}{4(1 - 15x)} \\ \\ \\ y = \frac{3x}{4 - 60x} [/tex]

[tex] \frac{1}{2x} + \frac{1}{3y} = 7 \\ \\ \\ \frac{1}{2x} + ( \frac{1}{3( \frac{3x}{4 - 60x} )} ) = 7 \\ \\ \\ \frac{1}{2x} + ( \frac{1}{ \frac{9x}{4 - 60x} } ) = 7 \\ \\ \\ \frac{1}{2x} + \frac{4 - 60x}{9x} = 7 \\ \\ \\ \frac{9}{18x} + \frac{2(4 - 60x)}{18x} = 7 \\ \\ \\ \frac{9}{18x} + \frac{8 - 120x}{18x} = 7 \\ \\ \\ \frac{9 + 8 - 120x}{18x} = 7 \\ \\ \frac{17 - 120x}{18x} = 7 \\ \\ 18x \times 7 = 17 - 120x \\ \\ 126x = 17 - 120x \\ \\ 126x + 120x = 17 \\ \\ 246x = 17 \\ \\ x = \frac{17}{246} [/tex]

[tex]y = \frac{3x}{4 - 60x} \\ \\ y = \frac{3( \frac{17}{246}) }{4 - 60( \frac{17}{246} )} \\ \\ y = - \frac{17}{12} [/tex]

Express your answer to the 3rd sf 304.03 - 189.65

Answers

Answer:

114.4

Step-by-step explanation:

the answer is originally 114.38, but rounding it off makes it 114.4

Answer:

114.38 Is Your Answer

6.
(04.01 LC)
Evaluate cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5 . (5 points)

5 to the power of negative 5 over 6
5 to the power of 3 over 2
5 to the power of negative 1 over 6
5 to the power of 5 over 2

Answers

Answer:

A. 5 to the power of negative 5 over 6

Step-by-step explanation:

[tex]\sqrt[3]{5} \sqrt{5} /\sqrt[3]{5^5} =[/tex][tex]5^{1/3+1/2-5/3}=[/tex][tex]5^{1/2-4/3}=[/tex][tex]5^{3/6-8/6}=[/tex][tex]5^{-5/6}[/tex]

Last week Connor and his roommates ate 1 1/6 cartons of yogurt, and this week they ate 3 cartons. How much more yogurt did they eat this week compared to last week?

Answers

Answer:

dude I need like a picture or something to say

Need help pls respond asap!

Answers

Answer:

[tex]n\sqrt{5}[/tex]

Step-by-step explanation:

The length of the legs is n and 2n.

The hypotenuse is:

[tex]PQ = \sqrt{n^2+(2n)^2} =\sqrt{5n^2} =n\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

3

Lines k and l are parallel and the measure of angle ABC is 22 degrees. Find the measures of angle ECF.

Answers

Answer:

22 degrees

Step-by-step explanation:

Angles ABC and ECF are corresponding angles.

Rewrite the improper fraction as a mixed number.

Answers

Answer:

8/3 would be 2 2/3 and 15/5 would be 3

Step-by-step explanation:

I wrote my answer and used a website to double check.

a car park charges 1.50 to each car entering. the car park only accepts £1 coins and 50p coins. here are the coins collected on a particular day. number of £1 coins: 172 number of 50p coins:256 making the assumption that all drivers paid the exact amount due on that day, work out the percentage of drivers that paid with three 50p coins​

Answers

Subtract the amount of £1 coins from 50p coins:


256-172 = 84

84/3 coins = 28 people paid with 3 coins.


172 people paid using £1 coins

172 + 28 = 200 total people


percent who used 3 coins = 28/200 = 0.13 x 100 = 14%

Answer: 14%

[ 3 − 2 + (3 − 2) − (2 − 3) ]− (2 − 3) + (3 – 9)

Answers

Answer:

(1 + 1 - -1 ) - -1 + -6

3 --1 = 4

4+ - 6 = -2

Answer: - 2

Pls help in need
All appreciation​

Answers

wish i can help i just dont got m cal on me

8j + 5 = 61

Steps to solve

Answers

Answer:

j =7

Step-by-step explanation:

8j + 5 = 61

Subtract 5 from each side

8j + 5-5 = 61-5

8j = 56

Divide each side by 8

8j/8 = 56/8

j = 7

Answer:

J = 7

Step-by-step explanation:

8j + 5 = 61

8j = 61 - 5

8j = 56

8j ÷ 8 = 56 ÷ 8

j = 7

Set up and solve a system of equations to solve the problem.

A jar contains n nickels and d dimes. There are 26 coins in the jar, and the total value of the coins is $1.90. How many nickels and how many dimes are in the jar?

Answers

Answer:

14 Dimes and 12 Nickels

Step-by-step explanation:

So you want to make 2 equations like this:

n+d=26

0.05n+0.10d=2

Now, use substitution and get d=26-n

plug that into the next equation and get

0.05n+0.10(26-n)=2

Distribute and combine like terms

0.05n+2.6-0.10n=2

2.6-0.05n=2

subtract 2.6 from both sides and you get

-0.05n=-0.6

Solve for n by dividing and you get

12 nickels.

Now, plug that into the first equation and you get

12+d=26

d=14

if y varies inversely as the square of x and y= 7/48 when x=4 find y when x=3

Answers

the answer is 7/27 if x= 3

When the binomial 27x2 - 300 is factored, the result is 3(3x – b)(3x + b). What is the value of b?

Answers

Answer:

The b-value is the middle number, the number next to the x. The other letters, a and c, are also numbers like b. Each of these can be any number. In combination, they tell you what the quadratic function will look like when graphed.    Step-by-step explanation:

Mike has 25 toys. Lucy has 31 toys.
What number is equal to
Lucy's number of toys?

Answers

Answer:

31 - 25 = 6

Step-by-step explanation:

Have a good day! :)

5c + 9c

Show your solution! tyms​

Answers

Answer: 14c
5c+9c=14c
This problem is as simple as 5+9, but with a variable. Because both 5c and 9c have the same variable, you can simply add them. Which gives you 14c.

Answer:

[tex]\boxed{\sf{14c}}[/tex]

Step-by-step explanation:

Solving this problem is as simple as isolating the term of c from one side of the equation, and then simplifying the equation.

First, add the numbers from left to right.

[tex]\sf{5c+9c=\boxed{\sf{14c}}[/tex]

Therefore, the correct answer is 14c.

I hope this helps! Let me know if you have any questions.

Please Help! I have a math test and can't understand this one!?

Answers

So the answer would be. Stop cheating on my app

Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G (-4,5), H (3,5), J (2, -1), and
K(-5, 1)

Answers

Solution:

Draw the parallelogram on the coordinate plane.

Graph #1 Attached~

We can tell that the intersection point is (-8/5,27/10).

Hoped this helped!

The equation and table shows were two boys pay for gym fees compare the rate of change and initial value for each function
Alfredo month 0 1 2 3 Alex C=25+10m, where
Cost 20 30 40 50 C= cost in dollars and
M= number of months.

Answers

The equation is an illustration of a linear function

The rate of change is 10 and the initial value is 25

How to determine the rate of change and the initial value

The equation is given as:

[tex]C = 25 + 10m[/tex]

A linear equation is represented as:

[tex]y = b + mx[/tex]

Where:

b represents the initial valuem represents the rate

By comparison:

b = 25

m = 10

Hence, the rate of change is 10 and the initial value is 25

Read more about linear functions at:

https://brainly.com/question/15602982

How do I solve this

​

Answers

Answer:

mutiple the ft number by the same number to get area

Step-by-step explanation:

2x2=4

3x3=9

5x5=25

8x8=64

Hope this helps :)

Answer: 2ft = 4 square feet. just multiply the side lenght number by 2 and thats how u get the answer

ILL GIVE BRAINLIEST ​

Answers

The answer is z=20 because 25-6 is 19 and rounded that is 20

5. Which statistical graph is the most useful when comparing multiple datasets?
a. Ogive
b. Box-plot
c. Pie chart
d. Histogram

Answers

C. Pie chart because of your head

Order the numbers 222%, 11/25, and 0.31% from least to greatest.
O 222%, 11/25, 0.31%, and 0.34
O 0,31%, 0.34, 222%, and 11/25
O 0.31%, 0,34, 11/25, and 222%
O 222%, 11/25, 0.34, and 0.31%

Answers

Answer:

C

Step-by-step explanation:

C. 0.31% = 31%, 0.34 = 34%, 11/25 (0.44 = 44%), and 222%

Hope this helps!

Answer:

12

Step-by-step explanation:

How many radians is 30°?

Answers

Answer:

That would be 0.523599 radians.

Step-by-step explanation:

This is the formula I used:

30° × π/180 = 0.5236rad

Radians - π6

Approx. radians - 0.524

What is the correct answer NEED ANSWER ASAP​

Answers

Answer:

12 burgers, 0 sub sandwiches or 7 burgers, 5 sandwiches

Step-by-step explanation

First, we need to form the equation. This will be 2.50x + 3.50y ≤ 30.

2.5x + 3.5y ≤ 30

Now I'll solve for x here, but you don't have to.

First I'll move 3.5y to the other side by subtracting that value from both sides.

2.5x ≤ -3.5y + 30

Next, divide by 2.5 to get just x on the left.

x ≤ -1.4y + 12

Now to substitute.

2.5(-1.4y + 12) + 3.5y ≤ 30

-3.5y + 30 + 3.5y ≤ 30

Wait a second...This creates... (canceling out -3.5y and 3.5y...)

30 ≤ 30

The two sides are the same! That means one solution has y being 0. 30/2.5 (as we already figured out) is 12. So one solution is (12, 0).

Solution 2 can be figured out with this. What is the LCM of 3.5 and 2.5? Here we really need to use 35 and 25.

First, to factorize.

25: 5 * 5

35: 5 * 7

A five in is common. So to get the LCM, we need to multiply 5 * 7 * 5 to get 175. However, since this is in TENTHS, it's actually 17.5 being the LCM between 3.5 and 2.5.

Since 7 * 2.5 = 17.5, as does 3.5 * 5, our other solution is (7, 5).

Ramon, Chio, Karl, Klaus, Henry, and Li sat around a hexagonal table playing memory card games. Where did each person sit?

Answers

Answer:

RamonKarlKlausHenryLiChio

Step-by-step explanation:

It is given that Henry sat at 4. Ramon sat opposite, at 1. Karl sat left of Ramon, at 2. Li sat opposite Karl, at 5. Klaus sat left of Karl, at 3. Chio sat in the remaining seat at 6.

RamonKarlKlausHenryLiChio
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