Which angles are represented by the same point on the unit circle as pi/4 ?

Which Angles Are Represented By The Same Point On The Unit Circle As Pi/4 ?

Answers

Answer 1

Answer:

d) [tex]\frac{9\pi }{4}[/tex]

Step-by-step explanation:

[tex]\frac{9\pi }{4} = 2\pi + \frac{\pi }{4}[/tex]

Answer 2

The correct options are a and d because -7pi/4 and 9pi/4 are the required angles.

Important infromation:

The given angle is [tex]\dfrac{\pi}{4}[/tex].Angles:

The angles [tex]\theta\pm 2n\pi [/tex] represent the same point on the unit circle as [tex]\theta[/tex].

It means,  [tex]\dfrac{\pi}{4}\pm 2n\pi [/tex] represents the same point on the unit circle as [tex]\dfrac{\pi}{4}[/tex].

The required angles are:

[tex]\left\{...,\dfrac{\pi}{4}-4\pi,\dfrac{\pi}{4}-2\pi, \dfrac{\pi}{4},\dfrac{\pi}{4}+2\pi,\dfrac{\pi}{4}+4\pi,...\right\}[/tex]

[tex]\left\{...,-\dfrac{15\pi}{4},-\dfrac{7\pi}{4}, \dfrac{\pi}{4},\dfrac{9\pi}{4},\dfrac{17\pi}{4},...\right\}[/tex]

Therefore, the correct options are a and d.

Find out more about 'Angles' here:

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Related Questions

connie sells lemonade for $0.25 per small cup and $0.75 per large cup. if she sells 20 small cups how many large ones must she sell?

Answers

Answer:

Not accomplishable.

Step-by-step explanation:

Could you please stucture this question more simply. This partly doesn't make sense, unless I am wrong.

Drag the movable points to the correct position on the number line.

Answers

Drag 0.8 where it says 0.8. Drag the 0.62 in the middle of 0.6 and 0.7. Drag 0.27 in the middle of 0.2 and 0.3, but closer to 0.3. Drag 0.52 a little higher than 0.5. Drag 0.052 in the middle of 0 and 0.1.

-16(c-4)-12c+80 ( simplify each expression

Answers

Answer:

-28c+144

Step-by-step explanation:

if you simplify -16(c-4)-12c+80

it equals -28c+144

Explanations:

Distribute

-16(c-4)-12c + 80 ---> -16c + 64 - 12c +80

Add the numbers

-16c+64-12c+80 ---> -16c+144-12c

Combine like terms

-16c+144-12c

-28c+144

-28c +144 is the correct answer

HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!

Answers

Answer:

6/10 or 3/5

Step-by-step explanation:

At a larger pizza party, there are 18 people. Each person wants 3 slices, and each pizza has 8 slices. How many pizzas should they order?

Answers

Answer:

7 pizzas

Step-by-step explanation:

18 people × 3 slices each = 54 slices

54 ÷ 8 = 6.75

7 pizzas

Answer:

They should order 7 pizzas.

Step-by-step explanation:

18 people x 3 slices per person = 54 slices you will need for everyone

54 slices divided by 8 = 6.75 pizzas.

Round 6.75 to 7 pizzas.

They should order 7 pizzas because you cannot ask the pizza place for 6.75 pizzas.

HELP PLEASE!! BRAINLIST IF CORRECT


adriana thinks the measure of angle CBE is 70 degrees.

Lila thinks the measure is 68 degrees.

Who is correct?

Adriana

Lila

Explain your thinking

BRAINLIST if correct

Answers

Answer:

Adriana is correct

Step-by-step explanation:

if you get rid of E, it is a 90 degree angle. so:

90-20=70

which is Adriana's answer

Using the digits 1-9 once only fill in the blanks so that you can multiply each column and row to get the answer given on the side.

Answers

Answer:

7 4 9

5 6 1

3 2 8

Step-by-step explanation:

..........................

Answer:

7 4 9

5 6 1

3 2 8

Hope this helps!

Write an inequality for the following.
Jackie spent no more than $40 on a video

Answers

Answer:

x ≥ $40

Step-by-step explanation:

Jackie didn't spend more than $40 on a video.

x ≥ $40

Find the length of the third side. If necessary, write in simplest radical form.
2V10
3


20 POINTS

Answers

sorry i do not understand the question

Answer:

2V10 = 6.324 I have to write this

Abigail read 42 1/2 pages in 1 2/3 hours. At what rate, in pages per hour, did she read?

Answers

Answer:

Pages                Time(hours)

 [tex]\frac{85}{2}[/tex]                       [tex]\frac{5}{3}[/tex]

 [tex]x[/tex]                        [tex]1[/tex]

[tex]x*\frac{5}{3} = \frac{85}{2} *1\\\\x = \frac{85*3}{5} = 17*3 = 51 \ pages[/tex]

Giving brainliest for correct answer!

Answers

Answer:

10    7

20   14

30   21

Step-by-step explanation:

This week is just one of the 40 weeks that you
spend in the classroom this school year. Convert
the fraction 1/40 to decimal form.

Answers

1 divided by 40= 0.025 if you need to round then just move the decimal 2 places to the right
Answer: 0.025
1/40 as a decimal is 0.025.

Kim is competing in a 40-mile bicycle race. She has completed 65% of the race. How many miles does Kim have left to cycle? A. 12 miles B. 14 miles C. 26 miles D. 28 miles​

Answers

She completed 65% so she has 35% more to go. ( 100% - 65% = 35%)

Multiply the length of the race by the percentage left:

40 x 0.35 = 14

She has 14 miles left.

The answer is B. 14 miles

please answer if you are able to see my picture. thanks:•)​

Answers

Answer:

in 5 weeks i think

Step-by-step explanation

I added 300+20 5 times. Same with the 250

Answer:

5

Step-by-step explanation:

to vick = W1 = 300 + 20 x    (  1 )

to anya = W2 = 250 + 30 x    ( 2)           Both 1 and 2 ( simulataneous )

When W1 =  W2

300 + 20 x = 250 + 30 x

          10 x   = 5

  so they need 5 months

Which of the following statements is false?

Answers

Answer:

i think the second answer??

Step-by-step explanation:

whats the length of d

Answers

the length of d is 85
85 is the correct answer

Using the list below, what is the ratio of goats to the total number of animals at the zoo? Animals at a Petting Zoo Chickens 2 Deer 4 Donkeys 3 Goats 6

Answers

Answer:

Ratio of goat to total number of animals at the zoo = 2 : 5

Step-by-step explanation:

Chickens = 2

Deer = 4

Donkeys = 3

Goats = 6

Total animals at the zoo = 15

what is the ratio of goats to the total number of animals at the zoo?

Ratio of goat to total number of animals at the zoo = 6 : 15

= 6/15

= 2/5

Ratio of goat to total number of animals at the zoo = 2 : 5

PLEASE HELP. ILL GIVE BRAINIEST (if i see links i get ur account banned)

Answers

Answer:

0, -2

Step-by-step explanation:

Can I have brainliest? I hope this helped and have a nice day!

Answer:

(-1, -5)

Step-by-step explanation:

FIND THE SIDES BRAINLIEST AND POINTS

Answers

Answer:

Look at the image.

Step-by-step explanation:

C = 2πr

2 · π · 5

≈ 31.42

31.42 ÷ 4 = 7.855

123456762123456787654321`4567898 x 1
whats the answer

Answers

Answer:

123456762123456787654321`4567898

Answer:

123456762123456787654321`4567898

Step-by-step explanation:

[tex]\frac{x+1}{x-4} -\frac{x+1}{x^{2} ^}-7x+12[/tex]

Answers

(x+1)/(x-3) hope this helps!

Naneth deposited php1. 200in a savings account that pays 4%interest in 1 year. How much interest will her money earn in a year?

Answers

Answer: 8

Step-by-step explanation:

Given

Money deposited [tex]P=200[/tex]

Interest rate [tex]R=4\%[/tex]

Time period [tex]T=1\ yr[/tex]

For a year simple and compound interest is the same

[tex]\therefore \text{Interest}=\dfrac{P\times R\times T}{100}\\\\\Rightarrow \text{Interest}=\dfrac{200\times 4\times 1}{100}\\\\\Rightarrow 8[/tex]

Thus, interest earned is 8 units

HELP ILL GIVE BRAINLIEST

Answers

Answer:

0.29

Step-by-step explanation:

14/25 * 4 = 56/100

                    |

                   \ /

                   56

56 + 15 = 71

100 - 71 = 29

29% = 0.29

Someone please help will mark as brainliest

Answers

Answer:

c:88

Step-by-step explanation:

The angle that measures 92 degrees and the angle with the question mark are supplementary angles which mean their sums make up 180 degrees because they are on a line. So 180 degrees - 92 degrees = 88 degrees.

which turn best describes a mathematical statement

Answers

Answer:

The correct answer is: D Conditional Statement. Explanation: A conditional statement is a statement in "if, then" form. This statement is "If A, then B." This makes it a conditional statement

Step-by-step explanation:

A mattress store is having a sale all mattresses are 30% of. Nate wants to know the sale price of a mattress that is regularly $1,000

Answers

Answer: $700

Step-by-step explanation:

The store is selling at 30% off.

If a mattress is $1,000, first find out what 30% of $1,000 is:

= 1,000 * 30%

= $300

The store is selling 30% off, this means that they are reducing the price by 30%:

= 1,000 - 300

= $700

Estimate the circumference of the circular base of the object. Round to the nearest hundredth if necessary.

D battery with radius 0.65 in.

circumference: ___ in.

Answers

Answer:

4.09

Step-by-step explanation:

Circumference=

[tex]2\pi \times r[/tex]

The circumference of the circular base of the object is 4.082 in

What is circumference?

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its center.

Given that, we need to find the circumference of the circular base of the object, whose radius is 0.5 in

The circular object is referred as circle, the circle's circumference is its boundary length measured in unit whose power is always 1, like m, cm, km etc.

Here, if we calculate the circumference of the object, we will get,

The circumference of any circular object given by :-

C = 2π×radius

C = 2×3.14×0.65 = 4.082 in

Hence, the circumference of the circular base of the object is 4.082 in

Learn more about circumference, click;

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#SPJ6

Please help!! Thank you !!

Answers

Answer:

55 degrees

Step-by-step explanation:

Angle ACE and BDE are congruent so segments AC and BD are parallel.  That makes angles CAE and DBE congruent.

6x - 15 = 5x - 1

x - 15 = -1

x = 14

So, the measure of angle BDE = 4x = 56 degrees.  The measure of angle DBE = 5x - 1 = 69 degrees.

The total of all angles in triangle BDE is 180 degrees, so the measure of angle E = 180 - 56 - 69 = 55

who was correct and who was wrong?

Answers

Mary

Because according to PEMDAS, Parenthesis always start first

pleas help due tonight​

Answers

Answer:

105.6 ft

Step-by-step explanation:

The perimeter of a shape is just the lengths of its sides added up. Since a square has 4 equal sides, and a side is 26.4, the answer is 26.4 * 4 = 105.6 ft

The perimeter is 105.6 ft. The perimeter is the distance around the shape, which is the sum of all the sides. Since this is a square, all sides are equal, therefore since one side is 26.4, all is the sides are 26.4.

Add up all of the sides to get the perimeter.

26.4 + 26.4 + 26.4 + 26.4 = 105.6
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