Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
72
The measure of angle is 4. The measure of its reference angle is
and tan eis

Type The Correct Answer In Each Box. Use Numerals Instead Of Words. If Necessary, Use / For The Fraction

Answers

Answer 1

Step-by-step explanation:

the reference angle is the smallest angle difference between the defining terminal arm of the angle and the x-axis. it is always positive.

if an angle is smaller than 90°, then it is is own reference angle.

7pi/4 is 1pi/4 (or simply pi/4) short of a full circle (2pi or 8pi/4).

therefore, if is easy to see that this pi/4 is the reference angle (45°).

tan(7pi/4) = -1, while tan(pi/4) = 1.

for every 45° angel in every quadrant the absolute values of sine and cosine are equal.

but in quadrant 1 both, sine and cosine, are positive, while in quadrant 4 sine is negative and cosine is positive.

and since tan = sine/cosine, this gives us the results above.


Related Questions

What is the median of the following data values?
10, 11, 12, 15, 19, 24, 27, 29, 33, 38

Answers

Answer:

21.5

Step-by-step explanation:

Make sure they are in order.

A median is basically (or literally) the number in the middle of the data set.

In this case, it is 19 and 24. To get the middle number, you have to:

Add the two numbers and divide them by 2.

19 + 24 = 43

43/2 = 21.5

please help me on this

Answers

Answer:

$44.68

Step-by-step explanation:

plus you have would have to find out what the money would be 10% off and then you add on the sales tax

answer should be $44.67
step by step explanation in photo:

What are the factors of the trinomial 3x^2 + 16x + 5? Show your work analytically

Answers

Answer:

3x+1 and x+5 are the factors

Step-by-step explanation:

Here's the slide-and-divide method to find the factors:

[tex]3x^2+16x+5[/tex]

[tex]\frac{3x^2}{3}+16x+5(3)[/tex]

[tex]x^2+16x+15[/tex]

[tex](x+1)(x+15)[/tex]

[tex](3*x+1)(x+\frac{15}{3})[/tex]

[tex](3x+1)(x+5)[/tex]

Complete the given ordered pairs for the equation.
y = 2x + 1
(5, )
(0, )
(-2, )

Answers

Answer:

(5,11)

(0,1)

(-2,-3)

Step-by-step explanation:

y=2(5)+1

y=10+1

y=11

so... (5,11)

y=2(0)+1

y=0+1

y=1

so... (0,1)

y=2(-2)+1

y=-4+1

y=-3

so... (-2,-3)

Find the product of (4z2 7z â€"" 8) and (â€""z 3). The product of (4z2 7z â€"" 8) and (â€""z 3) is â€""4z3 z2 z â€"" 24.

Answers

The product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]

We are to find the product of (4z^2+7x-8) and (-z+3)

Product  =  (4z^2+7z-8)(-z+3)

Using the distributive law:

[tex]P =4z^2(-z) + 4z^2(3) + 7z(-z) +7z(3)-8(-z) -8(3)\\P = -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24\\P = -4z^3 + 5z^2 + 29z - 24[/tex]

Hence the product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]

Learn more on product of functions here: https://brainly.com/question/25638609

WILL GIVE BRAINLIEST!!
Which is one solution, no solution, and infinite solutions?

3(4x-2) = 12x - 6
3(4x-2)= -12x - 6
-3(4x-2) = -12x - 2

Answers

Step-by-step explanation:

3(4x - 2) = 12x - 6

12x - 6 = 12x - 6

that is always true, no matter what value we pick for x.

so, this has infinite many solutions.

3(4x - 2) = -12x - 6

12x - 6 = -12x - 6

24x = 0

x = 0

this has one solution.

-3(4x - 2) = -12x - 2

-12x - 6 = -12x - 2

-6 = -2

this is never true, no matter what value we pick for x.

so, this has no solution at all.

Answer:

see below

Step-by-step explanation:

Hi!!

Here's how I found it:

First, I simplified all my equations.

1.12x-6=12x-6

2.12x-6=-12x-6

3.-12x+6=-12x-2

#1 has infinite solutions, given that the equations are identical to eachother. Any value of x will sufice.

#2 can be simplifed with algebra.

Cancel out the -6, since it is on both sides.

we are left with 12x=-12x, which can be solved with the value of 0. This has one solution.

#3 can also be simplifed using algebra.

Cancel out the -12x, since both sides have that.

you are left with:

6=-2

this will never have a solution, therefor, it is no solution.

Help me on 5 and 6 plssssss

Answers

For number 5, you just plug -2 into x. We now have g(-2)=3(-2)+1. This gives us g(-2)=-5.

This is the same for 6. h(-6)=-3(-6)-2. This gives us h(-6)=16.

The answer is g(-2)=-5. The other answer is h(-6)=16.

Evaluate (35 = x)
2 when x = 7
O A. 3
O B. 7
O c. 5
O D. 26
I will give brainiest points

Answers

Answer:

the answer : a

equation : 35 = x

35 = 7

35/7 = 5

5-2 = 3

Hey there!

(35 ÷ x) - 2

= (35 ÷ 7) - 2

= (5) - 2

= 5 - 2

= 3

Therefore, your answer is: Option A. 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3/10+21/100 as a fraction

Answers

Answer:

51/100

Step-by-step explanation:

3/10 + 21/100=> 30/100 + 21/100=> 51/100

Conclusion:

Therefore, 3/10 + 21/100 equals 51/100 as a fraction.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

0.51000 which as smaller is 0.51

Step-by-step explanation:

simplify 21/ 100 then add 3/10 + 21/100 then simplify 3/10 then you would do 3×10+21/100 which equals 51/100

Y'all i need some help with this.

Answers

Answer:

Divide everything by 100.

Step-by-step explanation:

If you divide every number you want by 100, you get a decimal out of 100.

Find the surface area of a box of length 6 cm, width 5 cm, and height 4 cm.

Answers

Answer:

It would i feel like its 132

Step-by-step explanation:

!!!!!!!!!!!!!!determine which of these are perpendicular parallel or none

Answers

Line A and B are perpendicular and Line A and C are parallel

Answer:

Parallel: a and c

Perpendicular: a and b, c and b

Step-by-step explanation:

Basically you would want to isolate for y.

Line a:

4y - 12x = 20

4y = 12x  + 20

y = 12x/4 + 20/4

y = 3x + 5

Line b:

3y = -x+2

y = -x/3 + 2/3

Line c:

y=3x - 1

Now look at each line and compare their slopes.

-Lines a and c have same slope., thus they are parallel.

-lines a and b are perpendicular because the slopes are negative reciprocals each other

-lines b and c are also perpendicular

paul, colin and brian are waiters.One night the restaurant earns tips totalling £78.40.
They share the tips in the ratio 2:1:5.
How much more does Brian get over Colin?

Answers

Answer:

£39.20

Step-by-step explanation:

2+1+5=8

£78.40/8 = 9.8

9.8*5= 49

49-9.8= 39.2

In Circle P, m EA=58, m BC=42, m CD=90, find:
1. m∠EDA
2. m∠BDC
3. m∠BEC
4. m arc AB
5. m∠AEB
6. m∠ECA
7. m∠BAC
8. m arc ED
9. m∠ECD
10. m∠ACB
11. m∠EBD
12. m∠ADB
13. m∠CAD
14. m∠EAB
15. m∠EBC
PLEASE HELP AHHHHH

Answers

Applying the inscribed angle theorem, the missing measures are:

1. m∠EDA = 29°

2. m∠BDC = 21°

3. m∠BDC = 21°

4. measure of arc AB = 80°

5. m∠AEB = 40°

6. m∠AEB = 29°

7. m∠BAC = 21°

8. measure of arc ED = 90°

9. m∠ECD = 45°

10. m∠ACB = 40°

11. m∠EBD = 45°

12. m∠ADB = 40°

13. m∠CAD = 45°

14. m∠EAB = 111°

15. m∠EBC = 90°

What is the Inscribed Angle Theorem?

The inscribed angle theorem states that, if ∠a is an inscribed angle, that intercepts arc AB, therefore: m∠a = ½(measure of arc AB).

The diagram showing circle P is attached below. We are given the following:

measure of arc EA = 58°

measure of arc BC = 42°

measure of arc CD = 90°

Thus:

1. m∠EDA = ½(measure of arc EA)

m∠EDA = ½(58)

m∠EDA = 29°

2. m∠BDC = ½(measure of arc EA)

m∠BDC = ½(42)

m∠BDC = 21°

3. m∠BEC = ½(measure of arc BC)

m∠BDC = ½(42)

m∠BDC = 21°

4. measure of arc AB = 180 - 58 - 42

measure of arc AB = 80°

5. m∠AEB = ½(measure of arc AB)

m∠AEB = ½(80)

m∠AEB = 40°

6. m∠ECA = ½(measure of arc EA)

m∠AEB = ½(58)

m∠AEB = 29°

7. m∠BAC = ½(measure of arc BC)

m∠BAC = ½(42)

m∠BAC = 21°

8. measure of arc ED = 180 - 90

measure of arc ED = 90°

9. m∠ECD = ½(measure of arc ED)

m∠ECD = ½(90)

m∠ECD = 45°

10. m∠ACB = ½(measure of arc AB)

m∠ACB = ½(80)

m∠ACB = 40°

11. m∠EBD = ½(measure of arc ED)

m∠EBD = ½(90)

m∠EBD = 45°

12. m∠ADB = ½(measure of arc AB)

m∠ADB = ½(80)

m∠ADB = 40°

13. m∠CAD = ½(measure of arc CD)

m∠CAD = ½(90)

m∠CAD = 45°

14. m∠EAB =  ½(180 + 42)

m∠EAB = ½(222)

m∠EAB = 111°

15. m∠EBC = ½(measure of arc EDC)

m∠EBC = ½(180)

m∠EBC = 90°

Learn more about the inscribed angle theorem on:

https://brainly.com/question/14267250

what is the equation of a line that contains points (5,3) and (0, -1)

Answers

Answer:

y = [tex]\frac{4}{5}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )

m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line

Please help, its Geometry

Answers

Hope it helps just read it and type it in XD

show work! my teacher told me this was wrong, what's the correct answer?​

Answers

Answer:

I do not know man but good luck

please help me asap..

ty :)

Answers

Answer:

x-intercept = 3, 0

y-intercept = 0, -4

Step-by-step explanation:

2x + 16 = 22x

Variables on both sides

Answers

answer: Subtract sixteen from both sides of the equation

2 +16 -16=22x -16

x = 4/5

need help in a math question

Answers

Answer:

- [tex]\frac{7}{6}[/tex]

Step-by-step explanation:

I hope this helps

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL


A 20 cm cube is built from small cubes, each 5 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
25:1
2:1
3:1
4:1

Answers

Answer:

4:1

Step-by-step explanation:

Answer:

edge of cube = 20 cm

volume of cube = 20x20x20

volume of each small cube = 5x5x5

number of cubes

= (20x20x20)/(5x5x5)

=64

Step-by-step explanation:

I believe that is the answer im sorry in advanced if its not.

A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.

How much was deducted from the original price?

$0.40

$4.20

$5.20

$7.80

Answers

First of all we have to find 40% of $13.00
13x40/100=5.2
Then 13-5.2=7.8
Answer is $7.80

what is 850000+21195=

Answers

Answer: 871195

Step-by-step explanation:

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 6% vinegar, and the second brand contains 11% vinegar. The chef wants to make 380 milliliters of a dressing that is 7% vinegar. How much of each brand should she use?

Answers

Answer: To make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.

Step-by-step explanation:We want the total mixture to be 310mL so: F + S = 310

 

Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)

 

Now, we can solve the system of equations using substitution.

 

F + S = 310

.06F + .11S = .08(310)

 

F = 310 - S      [solve 1st equation for F]

.06(310 - S) + .11S = .08(310)     [substitute into 2nd equation]

18.6 -.06S +.11S = 24.8

.05S = 6.2

S = 124

 

F + 124 = 310     [substitute answer for S back into original equation]

F = 186

 

a rectangular parking lot has a perimiter of 500 feet and a width of 100 feet. find the lenght of the parking lot be sure to show all four steps

Answers

Answer:

50,0

Step-by-step explanation:

So we know 500×100=50,000

So it's 50,000

the interquartile range of the data set is 4. 2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12 which explains whether or not 12 is an outlier?

Answers

Answer:

12 is not an outlier as it is not greater than 13.

Step-by-step explanation:

2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12

Median = 5

Q₁ = 3 (3rd term in sequence)

Q₃ = 7 (9th term in sequence)

IQR = 4

Outliers are either values significantly larger or smaller than the rest of values;

The upper limit is the value above which it can be considered an outlier, it is found by: Q₃ + ³/₂(IQR)

The lower limit is found by: Q₁ - ³/₂(IQR)

Outliers < 3 - ³/₂(4)

Outliers < -3

Outliers > 7 + ³/₂(4)

Outliers > 13

The lower limit is -3 and the upper limit is 13

the selling price for a pair of jeans is 39.98. There is a 4.5% sales tax on all purchases. How much would it cost to buy the jeans?

Answers

Answer:

$41.78

Step-by-step explanation:

tax is 4.5% on top of original price of 39.98

so multiplying 39.98 by 1.045 gives us 41.78

you multiply by 1.045 because 4.5% is the same as 0.045 and the 39.98 represents 100% of the price so it is 1 and you are paying 104.5% of that price for it when tax is included

$41.78
you add the price and the sales tax to get the total amount

help me please!!!!!!!!!!

Answers

Answer:

-35

Step-by-step explanation:

is associative prperty holds good under subtraction over integer​

Answers

Answer:

nope

Step-by-step explanation:

A-(b-c)=(A-b)-c

let a be 2, b be 3 and c be 4

2-(3-4)=(2-3)-4

2-(-1)=(-1)-4

2+1=-1-4

3=-5

therefore, association is not goot under subtraction

I hope that helps you and please mark my answer as the brainliast answer.....it would be an honor......

Answer:

No, the associative property does not hold good for the subtraction of integers.

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

28/5= 5 3/5
41/6= 6 5/6
42/9=4 2/3
31/3=10 1/3
70/6=11 2/3
sorry if i’m late I don’t know how to write explanations
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