The reference angle for an angle whose measure is -440° is _____.



Answers

Answer 1

Answer:

The reference angle is the acute angle formed by the terminal side of an angle in standard position and the x-axis

Step-by-step explanation:

-440° will be in the 1st quadrant

We solve by adding 360° to it till it becomes positive

-440°+360°= -80°

-80°+360°=280°

The equivalent value will become

360°-280°= 80°

Answer 2

Answer:

The reference angle for an angle whose measure is -440° is 80°.

Step-by-step explanation:

The cycles for angles range from the traditional 0° to 360° and subsequent 360° ranges befor and after this traditional intervals, also have the same properties.

So, the ranges that exist and correspond to the traditional 0° to 360° include

0° to 360°

360° to 720°

720° to 1080°

And in the negative direction, we have

-360° to 0°

-720° to -360°

We can see that -440 is in the range of

-720° to -360°

Using the traditional 0° to 360° to compare this range of -720° to -360°, let x represent the reference angle in the traditional range that we require.

-720° ------ 0°

-440° ------ x

-360° ------ 360°

Using interpolation,

[-440° - (-720°)]/[-360° - (-440°)] = (x - 0°)/(360° - x)

(280/80) = x/(360-x)

3.5 = x/(360-x)

3.5(360 - x) = x

1260° - 3.5x = x

4.5x = 1260°

x = (1260°/4.5) = 280°

But, the reference angle is the smallest angle that one can make from the terminal side of an angle (that is, where the angle ends) with the x-axis. It uses the x-axis as its frame of reference.

So, 280° is a fourth quadrant angle, whose equivalent in the first quadrant is 360° - 280° = 80°

Hope this Helps!!!


Related Questions

Which will result in a perfect square trinomial?

Answers

Answer:

is there a picture?

Step-by-step explanation:

Which shows how the distributive property can be used to evaluate 7x8 4/5?

Answers

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)]   (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5  (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

This pyramid is cut by the plane shown. The plane is parallel to the base of the square pyramid. What is the shape of the cross-
section?
A)
rectangle.
B)
rhombus.
square.
D)
triangle

Answers

Answer:

c

Step-by-step explanation:

Answer: THE ANSWER IS c

Step-by-step explanation:

Choose the function whose graph is given below.
Y = csc x
Y= tan x
Y= sec x
Y = cot x

Answers

The given graph shown in the image is of function y = cotx. Option D is correct.

Given that,
To determine the function whose curve is plotted in the graph.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.



Here,
Since the given graph is of cots because only cotx tends to infinity whenever x tends nπ where n is an integer on the number line.

Thus, the given graph shown in the image is y = cotx. Option D is correct.


Learn more about graphs here:

brainly.com/question/16608196

#SPJ2

Jack ran 13.5 miles in 1.5 hours. What was his speed in miles per minute?

Answers

Answer:

9

Step-by-step explanation:

13.5 / 1.5 = 9

Answer:

[tex] \boxed{Speed = 0.15 \: miles \: per \: minute} [/tex]

Given:

Distance travelled = 13.5 miles

Time taken = 1.5 hours = 1.5 × 60 = 90 minutes

Step-by-step explanation:

[tex]Speed = \frac{Distance \: travelled}{Time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{13.5}{90} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.15 \: miles \: per \: minute[/tex]

Is (1, -2) a solution of y> -6x – 3?
Choose 1 answer:
Yes
No

Answers

Answer:

Yes

Step-by-step explanation:

(1, -2)

y > -6x – 3

-2 > -6(1) - 3

-2 > -6 - 3

-2 > -9 Yes

How many outcomes are in the sample space of flipping a coin in spinning a spinner with sections labeled 1-4

Answers

Answer:

8 outcomes

Step-by-step explanation:

A coin has two possible outcomes: heads or tails.

The spinner has four possible outcomes: 1, 2, 3 or 4.

If we combine then, the number of outcomes will be the product of their number of outcomes:

2 * 4 = 8

So we will have a total of 8 outcomes:

heads, 1 / heads, 2 / heads, 3 / heads, 4 /

tails, 1 / tails, 2 / tails, 3 / tails, 4

PLEASEEEEE HELPP !!!!!
A lake near Susan's house is predicted to lose water every
day because of a drought. The table shows the estimated
water depth in feet, y, after x days of drought.

Answers

Answer:

y = -0.5x + 100

Step-by-step explanation:

Im not really sure what i was supposed to answer but i hope it helped.

Answer:

A.       y = −0.5x + 100  

Step-by-step explanation:

When 800 is increased by 5%, find the amount of increase

Answers

5 percent of 800 = 0.05 x 800 = 40

A 5 percent increase would give you 840

Hope this made sense!

plz halp meh!!!!!!!​

Answers

Answer:

M=25-3D

Step-by-step explanation:

Daniel starts with 25 dollars and spends three dollars per day for a d number of days. So the amount of money in his wallet should be equal to the starting number of dollars minus the amount of money he spends. Therefore we get the equation M=25-3D, where M is the amount of money is his wallet, and D us the number of days he buys a drink and chips.

Suppose the equation h =− 16t2 + 35t models the altitude a football will reach t seconds after it is kicked. Is it possible for the football to reach 16 ft in the air? Justify your answer.

Answers

Answer:

The ball will be able to reach the 16 ft.

Step-by-step explanation:

In order to calculate if the ball will be able to reach that height, we must make "h" equal to 16, if there's a real positive solution, then the ball will be able to reach it.

16 = -16t² + 35t

16t² - 35t + 16 = 0

t = [-(-35) +- sqrt((-35)² - 4*16*16)]/(2*16)

t = [35 +- sqrt(1225 - 1024)]/32

t = [35 +- sqrt(201)]/32

t = (35 +- 14.177)/32

t1 = 0.65071875

t2 = 1.5367

The ball will reach that height at 0.65 s and 1.53 s.

Find , to the nearest tenth of a foot , the height of the tree represented in the accompanying diagram.

Answers

Answer:

Height of tree =  28.2 ft (Approx)

Step-by-step explanation:

Given:

Angle from ground to top of the tree = 62°

Distance from a point to base of tree = 15 ft

Height of tree = [tex]X[/tex]

Find:

Height of tree = [tex]X[/tex]

Computation:

Using trigonometric application:

[tex]Tan\ 62 = \frac{Height\ of\ tree}{Distance\ from\ a\ point\ to\ base\ of\ tree} \\\\Using\ calculator\ , Tan62 = 1.88\\\\1.88=\frac{Height\ of\ tree}{15} \\\\Height\ of\ tree=28.2ft[/tex]

Height of tree =  28.2 ft (Approx)

Pythagorean Theorem: Jason only has room for a TV that is less than 30^ prime prime wide.
Find the width of the TV

Answers

Answer:

Step-by-step explanation:

length² + width² = diagonal²

24² + width² = 40²

576 + width² = 1600

width² = 1600 - 576

width² = 1024

width = √1024 = √32*32

width = 32"

Width of the TV is more than 30"

Answer:

32

Step-by-step explanation:

First off, Bruh, 30" is not prime prime. That's 30 inches.

The base of the TV is 32. This is because A^2+B^2=C^2. 24 is A, 40 is C, and the base is B.

So that means that is we take 24^2 and the base^2, we should get 40^2. 40^2 is 1600. 24 squared is 576. So if we take the base and square it and add 576, we should get 1600. Or we could just take 1600 and subtract 576.

1600-576=1024.

So now, the root of 1024 is the base. Which is 32. Hope that helped.

1. Show work and find the value of the circumference of the circle with a 12 cm radius.

Answers

Answer:

75.36

Step-by-step explanation:

3.14(pi) x 24(diameter) = 75.36(circumference)

math question down below

Answers

Answer:

whats the question i dont see the link

Step-by-step explanation:

It would be either 66 or 48 because the shadow of the building is longer than the actual length of the real building and 106 and 96 are greater than 72

math question screen shot down below

Answers

Answer:

The correct answer is A, Point P

Step-by-step explanation:

since the additive inverse of 2 is -2 because -2 + 2 = 0 the correct choice must be choice A, Point P.

The correct answer is A

Use DeMoivre’s Theorem to find (3cis(pi/6))^3.
a.) (27sqrt3)/2 +27/2 i
b.) (9sqrt3)/2 +9/2 i
c.) 27i
d.) 9i

Answers

Answer:

C. 27i

Step-by-step explanation:

Given the complex number in polar coordinate expressed as

z = r(cos∅+isin∅)

zⁿ =  {r(cos∅+isin∅)}ⁿ

According to DeMoivre’s Theorem;

zⁿ =  rⁿ(cosn∅+isinn∅)

Given the complex number;

(3cis(pi/6))^3

= {3(cosπ/6 + isinπ/6)}^3

Using  DeMoivre’s Theorem;

= 3³(cos3π/6 + isin3π/6)

=  3³(cosπ/2 + isinπ/2)

= 3³(0 + i(1))

= 27i

The right answer is 27i

The length of a planet's orbit around a star is approximately 16,540,000 km.

It takes the planet about 710 Earth days to complete a full orbit.

What is the planet's average speed in kmh-1 to 3sf? ANSWER PLS 15 POINT UP FOR GRABS

Answers

Answer:

971 km/h

Step-by-step explanation:

The length of a planet's orbit around a star is approximately 16,540,000 km and it takes the planet about 710 Earth days to complete a full orbit.

Average speed is given as total distance traveled divided by time taken. That is:

S = D / t

Where t is in hours.

We have to convert 710 days to hours:

1 day = 24 hrs

710 days = 710 * 24 = 17040 hours

Therefore, the planet's speed is:

S = 16540000 / 17040 = 971 km/h (to 3 sf)

3) A box of chocolates contains four milk
chocolates and four dark chocolates. You
randomly pick a chocolate and eat it.
Then you randomly pick another piece.
The first piece is milk chocolate and the
second piece is dark chocolate.
Are the events independent or dependent?
What is the probability?

Answers

Answer:

dependent and 2/7

Step-by-step explanation:

dependent because you didn't replace it.

1/2 times 4/7 which is 4/14 which equals to 2/7

Given: PK and PE tangents
m∠KPE = 60°,
2KP = PE + 1
Find: EK

Answers

Answer:

EK = 1.

Step-by-step explanation:

Here we have KP = PE (tangents from outside the circle)

Therefore, 2KP = PE + 1 = KP + 1

Hence, 2KP - KP = 1 or KP = 1 = PE

Since KE is the base of triangle KPE, where  ∡ KPE = 60, and KP = PE, we have an isosceles triangle such that ∡PKE = ∡PEK

Hence, in ΔKPE, ∡KPE + ∡PKE + ∡PEK  = 180

Therefore, 60° + ∡PKE + ∡PEK  = 180

Hence, ∡PKE + ∡PEK  = 180° - 60° = 120°

Because ∡PKE = ∡PEK, (base angles of isosceles triangle), we have;

∡PKE + ∡PEK = 2·∡PEK = 120° which gives

∡PEK = 60° = ∡PKE

Therefore, ∡KPE = ∡PEK = ∡PKE = 60°

Hence, ΔKPE is an equilateral triangle and KP = PE = EK = 1

EK = 1.

SOMEONE, PLEASE HELP FAST!!! FOR BRAINLIEST!!!!

Answers

Answer:

Volume of rectangular prism:

V1 = base x height = 4 x 6 x 12 = 288 ft3

Volume of triangular prism:

V2 = base x height = 4 x (6/2) x 6 =  72 ft3

Volume of composite prism:

V= V1 + V2 = 288 + 72 = 360 ft3

Hope this helps!

:)

A man wants to hike two trails. The length of one trail is 7.709 km. The length of the other trail is 9.0309 km. What is the total length of the two​ trails?

Answers

Answer:

Its addition I think so the answer would we 16.7399km for both trials

Step-by-step explanation:

The volume of the shipping box needs to be 1,144 cubic inches. The equation that models the volume of the shipping box is 8(n + 2)(n + 4) = 1,144.

Answer the following questions about the equation modeling the volume of the shipping box.

Question 1

Solve the equation that models the volume of the shipping box, 8(n + 2)(n + 4) = 1,144. If you get two solutions, are they both reasonable?

Answers

Answer:

see below

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

FOIL

8(n^2 +2n+4n+8) = 1144

Divide each side by 8

8/8(n^2 +2n+4n+8) = 1144/8

(n^2 +2n+4n+8) = 143

Combine like terms

n^2 +6n+8 = 143

Subtract 143 from each side

n^2 +6n+8 -143= 0

Combine like terms

n^2 +6n -135 =0

Factor

What two terms multiply to -135 and add to 6

-9*15 =-135

-9+15 = 6

(n-9) (n+15) =0

Using the zero product property

n-9 =0    n+15=0

n = 9   n=-15

The length cannot be negative so n = -15 cannot be  a solution

n =9

Answer:

n = 9

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

(n + 2)(n + 4) = 143

n² + 2n + 4n + 8 = 143

n² + 6n - 135 = 0

n² + 15n - 9n - 135 = 0

n(n + 15) - 9(n + 15) = 0

(n - 9)(n + 15) = 0

n = 9, -15

since n is a length, it can not be negative

Therefore the only solution is n = 9

Find the volume of the cone

Answers

Answer:

12π

Step-by-step explanation:

Volume of the cone is πr^2 * h / 3

r = 3

h = 4

9π * 4 / 3 = 12π

Answer: 37.6991118

Step-by-step explanation:

Factor this expression.
4x-12
O A. 4(x-4)
OB. 4(x-6)
O C. 4(x-3)
O D. 4(x-8)​

Answers

Answer:

C. 4(x-3)

Step-by-step explanation:

If you bought a stock last year for a price of $73, and it has risen 7.1% since then, how much is the stock worth now, to the nearest cent?

Answers

Answer:

78.18

Step-by-step explanation:

73 times 1.071=78.183

Answer:

$78.11

Step-by-step explanation:

Lee watches tv for 4 hours per day. During that time , the tv consumes 200 watts per hour. electricity costs (15 cents)/( 1 kilowatt-hour). How much does lee’s tv cost to operate for a month of 30 days?

Answers

Answer: $3.6

Step-by-step explanation:

Hi, to answer this question, first we have to calculate watt hours per day:

200 wph x 4 hours = 800 watt hours

Now, we have to convert the watt-hours to kilowatt hours:

800 wh /1000 =0.8 kwh

Since he watches TV 30 days per month:

0.8 kw x 30 days = 24 kwh

Finally we have to multiply that result by the price per kilowatt hour (15 cents)

24 kwh x 15 cents = 360 cents

Converting to dollars:

360/ 100 = $3.6

Lee’s TV cost 3.6 dollars to operate for a month of 30 days

Can i get some help ‍♂️

Answers

Answer:

[tex]AC=13.5[/tex]

Step-by-step explanation:

Use the Law of Sines as follows:

[tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]

Insert the values (use the steps from the last problem):

[tex]\frac{sin25}{14} =\frac{sin24}{b}[/tex]

Isolate b. Multiply both sides by b:

[tex]b*(\frac{sin25}{14} )=b*(\frac{sin24}{b})\\\\b*\frac{sin25}{14}=sin24[/tex]

Multiply both sides by 14:

[tex]14*(b*\frac{sin25}{14})=14*(sin24)\\\\b*sin25=14*sin24[/tex]

Isolate b. Divide both sides by sin 25:

[tex]\frac{b*sin25}{sin25} =\frac{14*sin24}{ysin25} \\\\b=\frac{14*sin24}{sin25}[/tex]

Insert the equation into a calculator and round to the nearest tenth:

[tex]b=13.5[/tex]

The length of AC is 13.5 units.

:Done

Simplify.

2(m + 11)

2m + 11
2m + 22
24m
22m

Answers

Answer:

You distribute the 2 to the m=2m

Then you distribute the 2 to the 11 which gives you 22

ANSWER: 2m+22

When 3 is subtracted from 1/3 of a number n, the result is less than 6. Which inequality and solution represent this situation?

A: 1/3n - 3 < 6; n < 27

B: 3 - 1/3n < 6; n > -9

C: 1/3n - 3 < 6; n < 9

D: 3 - 1/3n < 6; n < -9

Answers

Answer: A

Step-by-step explanation:

1/3n (variable)

-3 (it says subtracted)

(is less than 6)

(n is less that 27)

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