Write the expression as either the sine, cosine, or tangent of a single angle. cos(pi/5) cos(pi/7)+sin(pi/5)sin (pi/7)​

Answers

Answer 1

Answer:

cos(2π/35)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Pre-Calculus

Sum/Difference Formula [cosine]: [tex]\displaystyle cos(x \pm y) = cos(x)cos(y) \mp sin(x)sin(y)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

cos(π/5)cos(π/7) + sin(π/5)sin(π/7)

Step 2: Simplify

Sum/Difference Formula [cosine]:                                                                   cos(π/5)cos(π/7) + sin(π/5)sin(π/7) = cos(π/5 - π/7)Subtract:                                                                                                            cos(π/5 - π/7) = cos(2π/35)

Related Questions

A cyclist travels 8 km from home to the park. She leaves home at 10:15 and arrives at the park at 10:30. What is her average speed in km/h?

Answers

Answer:

speed = 32km/hr

Step-by-step explanation:

Time

10:15 to 10:30 = 1/4 hr

speed = distance/time

speed = 8 / (1/4)

speed = 32km/hr

Each month, Kelsey donates 1/5 of her allowance to her school for supplies. 1/2 of that amount goes to the chorus class. How much of her allowance goes to supplies for the chorus class?
Please show your work.
Thank you :)

Answers

every month 1/10 of her allowance goes to chores class because 1/5x1/2 = 1/10 or 1/2 of 1/5 is 1/10

Viết các lũy thừa sau dưới dạng một lũy thừa hoặc các tích các lũy thừa có số nguyên và số nguyên A.8 mũ 2 B. 654​

Answers

Step-by-step explanation:

câu trả lời là trong hình ảnh trên

simplify

x - ( - 6 x )​

Answers

Answer:

7x

Step-by-step explanation:

Answer:

answer

x - ( - 6x )

x + 6x

= 7x

Using divisibility tests, check whether the number 240720 is divisible by
2, 3, 4, 5, 6, 8, 9, 10 and 11. (Give reason)

Answers

Answer:

Let's see each case.

a) 2

We know that a number is divisible by two if it ends in {0, 2, 4, 6, 8}

In our case, we have 240,720

We can see that it ends with a zero, so it is divisible by 2.

b) 3

A number is divisible by 3 only if the sum of its digits is a multiple of 3.

For our number, the sum of the digits gives:

2 + 4 + 0 + 7 + 2 + 0 = 2 + 4 + 7 + 2 = 6 + 9 = 15

15 is a multiple of 3, then 15 is divisible by 3.

then 240,720 is divisible by 3.

c) 4

A number is divisible by 4 if the last two digits form a number that is divisible by 4.

In this case, the last two digits are 2 and 0, so they form the number 20

and we know that 20 = 4*5 is a multiple of 4.

then 20 is divisible by 40

then 240,720 is divisible by 4

d) 5

A number is divisible by 5 if it ends in 0 or 5.

Our number ends in a 0, so it is divisible by 5.

e) 6

A number is divisible by 6 if it is divisible by 2 and 3.

We already know that our number is divisible by 2 and 3, so we can conclude that it is also divisible by 6.

f) 8

A number is divisible by 8 if, in the case where the hundreds digit is odd, the number obtained from the last two digits plus 4 must be divisible by 8.

in the case where the hundreds digit is even, the number formed by the last two digits must be divisible by 8.

In our case the hundreds digit is 7, so it is odd, so we will use the first criteria.

The last two digits form the number 20

if we add 4, we get:

20 + 4 = 24

And 24 is a multiple if 8:  8*3 = 24

Then 24 is divisible by 8, then 240,720 is divisible by 8.

g) 9

Similar for the case of the 3, a number is divisible by 9 if the sum of its digits is divisible by 3.

We know that the sum of the digits of our number is 15, which is not divisible by 9, then our number is not divisible by 9

h) 10

A number is divisible by 10 if the last digit is a zero.

In this case the last digit is a zero, so  240,720 is divisible by 10.

i) 11

A number is divisible by 11 if:

starting from the left, you need to add and subtract each subsequent digit, if this is divisible from 11, then the original number is divisible by 11.

Then for  240,720 we have:

2 - 4 + 0 - 7 + 2 - 0 = -2 - 5 = -7

-7 is not divisible by 11, so our number is not divisible by 11

Find the area of AABC. Round your answer to the nearest tenth.
mZA = 23º, mZC = 39, b = 14.6
a. 44.5
b. 29.7
C. 49.4
d. 77.1

Answers

Answer:

the answer is 77.1

an angle is 21 degree more than twice its complement find it
QUICK
ASAP now before tomorrow Please

Answers

Answer: 67°

Step-by-step explanation:

Complementary angle refers to the angle that when added together will be equal to 90°.

Let the measurement of the angle's complement be x.

Therefore, the angles are x and 2x + 21. Since it's a complementary angle, therefore,

x + 2x + 21 = 90

3x + 21 = 90

3x = 90 - 21

3x = 69

x = 69°/3

x = 23°

Therefore, the angle will be:

= 2x + 21

= 2(23°) + 21°

= 46° + 21°

= 67°

The angle is 67°.

helpppp please!!!!!!

Answers

Answer:

x-8

Step-by-step explanation:

since we dont know how much gas is in the tank, lets make that X.

and since we subtract 8 gallons from how much is in the tank, we make that X-8

Answer:

Inequality:

x < 8

The Graph Would be the Hallow Dot on the 8,  then it would go the left way.

PLSSS HELPPP no linkss plsss im begging

Answers

Answer:

Step-by-step explanation:

Indicate the method you would use to prove the two A's =. If no method applies, enter "none".
O SSS
O SAS
O ASA
O AAS
ONone

Answers

Answer: I would say SAS

Explanation: The two equal eachother, that would mean that the corresponding angles equal eachother as well as the other side length. Let me know if otherwise.
The answer would be the ASA postulate. The angles where the two triangles intersect in the middle are vertical angles. Vertical angles are congruent. Therefore, the triangles have two pairs of corresponding, congruent angles, and a pair of corresponding, congruent sides. And thus, the ASA postulate proves the two triangles are congruent.

Use the number line to find the measure of SV

Answers

Answer:

8

Step-by-step explanation:

S = -7 to V= 1 you count from -7 to 1

Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?

A. SAS theorem
B. SSS theorem
C. AA postulate
D. Similarity cannot be determined.

Answers

Answer:

C

Step-by-step explanation:

AA postulate because we are given 2 of the 3 angles of each triangle. They are both the same in each triangle. Also, we can find the 3rd angle in each triangle. Since both triangles have the exact same angles, they are similar.

The given triangles ΔABC and ΔLMN are similar by AA postulate.

What is a triangle?

A triangle is a three sided polygon that consist of three edges and three vertices .

Here two given triangles are ΔABC and ΔLMN. In these two triangles ∠A=∠L=53° and ∠B=∠M= 72°.

Therefore, the two corresponding angles of triangles ΔABC and ΔLMN are equal . So the third angle of ΔABC is also equal to the corresponding angle of ΔLMN.

Hence two triangles are similar by AA postulate.

Thus two triangles are similar by AA postulate. So option (C) is correct.

To learn more about triagles click here:

https://brainly.com/question/24147586

#SPJ7

Can somebody help I’ll give brainless plss

Answers

Answer:

$93.22

Step-by-step explanation:

bill = $79

tip = 18%

tip amount = tip % of bill

=18/100 * $79

=$1422/100

=$14.22

total cost = $79 + $14.22

=$93.22

Answer:

93.22

Step-by-step explanation:

Find the amount of the tip

79*18%

79 * .18

14.22

Add this to the amount of the bill

79+14.22

93.22

How do you find the equation of a line of a triangle when given the area and one set of coordinates?

Answers

The straight line through two points will have an equation in the form y = m x + c . We can find the value of , the gradient of the line, by forming a right-angled triangle using the coordinates of the two points.

Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is.

y = -x 2 + 6x + 5



HELP PLEASE!!!!!!

Answers

Answer:

-(x-3)²+14

maximum

(3,14)

Step-by-step explanation:

y= -x²+6x+5

y-5= -x²+6x

y-5= -(x²-6x)

complete the square

y-14= -(x²-6x+9)

x²-6x-9= -(x-3)²

y-14= -(x-3)²

y= -(x-3)²+14

maximum because a is negative

vertex is (3,14)

Does this help? Vertex form: y(x) = 4x + 5

It's a quartile question.

Answers

Answer:

D. 8

Step-by-step explanation:

the upper quartile = 8

How much is 3 lbs of gold worth I’m American money

Answers

Answer:

$1865

The gold calculator is a gold melt value calculator which can be used to determine the value of gold metal inside an item with a known weight and gold purity. These items may include gold jewelry (such as, bangles, bracelets, chains, earrings, necklaces, pendants, and rings), gold bullion and gold coins.

The gold calculator is designed to calculate the gold metal value for one item at a time. If you would like to calculate the gold metal value for multiple items simultaneously consider using the scrap gold calculator for scrap gold, the gold bullion calculator for gold bullion bars and coins, and the gold coin calculator for gold coins.

the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)

Answers

Answer:

$469.80

Step-by-step explanation:

First, let's find out how many fees would be paid exclusively for renting it out for 14 days.

29.00 * 14 = $406

They have to pay 406 dollars just for having the car for 14 days.

Now let's find out how much will need to paid for driving for 320 km.

We can first take away 100 km because the fee only starts afterwards.

320 - 100 = 220

220 * 0.29 = 63.8

63.80 + 406 = 469.80

How would you describe the channel of distribution for Coke using the BreakMate?

Answers

Answer:

Yes

Step-by-step explanation:

1. What

2. Even if that's an actual question, it doesnt make any sense

3. What

4. Even if that's an actual question, it's not math related

5. What

two circles intersect each other in A and C. O the centre of the smaller circle, lies on circumference of the bigger circle D is a point on smaller circle and DC produce intersects the bigger circle in B. BO produce intersects AD inM. AO, OC andAB are drawn 1 IF IT IS FURTHER GIVEN THAT ACO.=D, PROVE THAT AD IS A TANGENT TO CIRCLE ABO​

Answers

Answer:

ss

Step-by-step explanation:

s

Solve 4(x - 3) - 2x - 1) > 0​

Answers

Answer:

x > 5.5

Step-by-step explanation:

4(x - 3) - (2x - 1) > 0

4x - 12 - 2x + 1 > 0

4x - 2x - 11 > 0

2x - 11 > 0

2x - 11 + 11 > 0 + 11

2x > 11

2x ÷ 2 > 11 ÷ 2

x > 5.5

Answer:

x>13/2

Step-by-step explanation:

4x-12-2x-1>0

2x-13>0

2x>13

X>13/2

Find the area of the circle. (Picture attached). Thank you!!

Answers

the area is 254.5 hope it helps

Answer:

254.5cm²

Step-by-step explanation:

I assumed that the units is cm.

hope it helps!!!

Algebra
write down the coefficient of x in 3(x)4x
A 12
B 3
C 0


by Emmanuel okorie​

Answers

Answer:

nah its a.

Step-by-step explanation:

bakit?(#boyinthebrainly)

PLEASE HELP
what is the amount of an investment $10,000 compounded quarterly for 3 years at a rate of 4 percent?

Answers

Answer:

10000 times 3 times 0.04 = 1200

Answer:

11268.25

Step-by-step explanation:

[tex]P(1+\frac{i}{n})^{n*t}=10000(1+\frac{.04}{4})^{4*3}=11268.2503[/tex]

Find The Area please help me ​

Answers

R=7m
r=3.14 r2
R=3.14x49
A=153

Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?

Answers

Answer:

$5,843.9

Step-by-step explanation:

2016

Total health care cost in US = $1.7 trillion

= $1,700,000,000,000

Population in US = 290.9 million.

= 290,900,000

Average amount spent per person on health care = Total health care cost in US / Population in US

= 1,700,000,000,000 / 290,900,000

= $5843.9326228944

Approximately,

$5,843.9

To the nearest whole number

= $5,844

change from improper fraction to mix number 51/7​

Answers

Answer:

7 3/7

Step-by-step explanation:

Yulet rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 24.

Answers

2,4,6,8,10,12,14,16,18,20,22,24!.. so 2 x 12= (24).....

Solve for x.
3:12 = x:16
64
4
2 1/4

Answers

Hi!

i think We can set up a proportion to solve this

\frac{3}{12} \frac{x}{16}

12

3

16

x

Cross multiply

3 x 16 = 48

48/12 = 4

The answer is 4

Hope this helps! :)


Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.

Answers

Answer: (4x + 5)/3

Explanation:

D = x
H = x + 5
R = 2x

Mean = (D + H + R)/3
= (x + x + 5 + 2x)/3
= (4x + 5)/2
Other Questions
A, B, and C are collinear points:B is between A and C.If AB = 3x + 4, BC = 4x - 1, and AC = 6x + 5,find AC. According to four-drive theory, social norms, past experience, and personal values translate emotional signals into goal-directed effort. A. True B. False Which sentence from the excerpt shows the narrator is using logos PLZ HELP BC IF I DONT FINISH THIS IN TIME I WONT PASS MY CLASS Write a paragraph on 'Good Manners' Or 'Importance of Education in one's life' Cuales territorioseran ambicionados por lasPotencias europeas en los Balcanes? 12-22=?Brainliest Which reaction will most likely take place based on the activity series? Li > K Ba CaNa > Mn > Zn > Cr> Fe> Cd Ni > H > Sb > Cu > Ag > Pd > Hg > Pt a. Ag+FeCl 3 b, Zn + CaO C. Ba+Na 2 CO 3 d . Cr+KNO3 PLEASE HELP Given the function [tex]f(x)=\sqrt{3x+3+2}[/tex] Use the formula v = IR for current flowing through a resistor, where V is the voltage in volts, I is current in amps, and R is resistance in ohms. Find the current through a resistor with resistance 15 ohms if the voltage across it is 3 volts. Some plz help meeeeeeeeeeereee I really neeeeeeeeeddddddddd ittttttttttt any tips on how to make learning easier? financial lit Banks offer other types of services such as safe deposit boxes for customers to store valuable documents. List at least two other types of non-account services that the provider makes available to customers, either for a fee or at no cost. Can you guys help me pleaseeeee! Explain two steps you could take when perform an impact study to test the effectiveness of an intervention programme HELP ITS A TESTTT!!!Which symbol shows auto correct is in use? A-a white light bulbB-A green plus signC-A flashing red circleD-A yellow lightning bolt Simplify the following expressions without using calculator 8/(2sqrt(6) + 3) - 4/(2sqrt(6) -3) Scansion is used to determine meter and rhyme scheme.TrueFalse why is it important to choose block for design development? suggest four recommendation of government that may and control laws in Community services