2. Given that tan 25º = a, express each of the following in terms of a.

tan 205

sin 25°

cos 65

cos 245


Answers

Answer 1

9514 1404 393

Answer:

tan(205°) = asin(25°) = (a√(a²+1))/(a²+1)cos(65°) = (a√(a²+1))/(a²+1)cos(245°) = -(a√(a²+1))/(a²+1)

Step-by-step explanation:

The tangent function is periodic with a period of 180°. So ...

  tan(205°) = tan(25°) = a

__

The identity relating sine and tangent is ...

  sin(x) = tan(x)/√(tan²(x)+1)

Rationalizing the denominator gives ...

  sin(x) = tan(x)√(tan²(x)+1)/(tan²(x)+1)

  sin(25°) = a√(a²+1)/(a²+1)

__

  cos(65°) = sin(25°) = a√(a²+1)/(a²+1)

__

  cos(245°) = -sin(25°) = -a√(a²+1)/(a²+1)


Related Questions

who wrote the book california cities

Answers

Answer:

Marilyn Iturri

Step-by-step explanation:

solve 2y+7>15.2 pls help

Answers

Answer:

[tex]y>4.1[/tex]

Step-by-step explanation:

[Shown in image]

The Solution of the Inequality is y> 2.1.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have,

Inequality: 2y + 7 > 15.2

Now, simplifying the inequality

2y > 15.2-7

2y > 8.2

y> 8.2 /2

y> 2.1

So, the solution is y>2.1

Learn more about Inequality here:

https://brainly.com/question/30228778

#SPJ3

Given K=IP, how does K change if I is
halved and P remains constant?

Answers

Answer:

Halfed

Step-by-step explanation:

For example

2 = 2 x 1

Now let's say I half the I

1 = 1 x1

What is the sum of 1/9, 2/3, and 5/18?
A. 121
B.4/15
C. 19/18
D. 8/30

Answers

Answer is C...Use calculator

What the answer plz help

Answers

Answer:

Step-by-step explanation:

Bonjour,

5+5+5 = 15

3+3+3 = 9

6+6+6 = 18

6+6 + (5+6+3) *3  = 12 +14*3= 12+ 42 =  54

Answer:

54

Step-by-step explanation:

The man represents 5, because three of him are fifteen (15 ÷ 3 = 5). The mask represents 3, because three of it are 9 (9 ÷ 3 = 3). The dümbbell represents 6, because three of it are eighteen (18 ÷ 3 = 6).

So, 2 dümbbells + (1 man + 1 mask + 1 dümbbell) × 1 mask

= 2(6) + (5 + 3 + 6) × 3

= 12 + 14 × 3

= 12 + 42

= 54

Find the area of the triangle

Answers

9514 1404 393

Answer:

  D.  72sin(α)cos(α)

Step-by-step explanation:

Given two sides and the angle between, the area of a triangle can be found from the formula ...

  Area = (1/2)ab·sin(C)

Here, that translates to ...

  Area = (1/2)(12)(y)sin(α)

Using the trig relation ...

  Cos = Adjacent/Hypotenuse

we can find y:

  cos(α) = y/12

  y = 12·cos(α)

__

Substituting this into the area calculation above, we have ...

  Area = (1/2)(12)(12·cos(α))sin(α)

  Area = 72sin(α)cos(α)

14 more than the product of 59 and q
Write an algebraic expression

Answers

Answer:

14+(59*q)

Step-by-step explanation:

Answer:

14>59q

Step-by-step explanation:

because 14 has more value than 59q. it also means q is a fraction

.
1 Briefly explain the difference between an employee and an employon​

Answers

Answer:

Employers such as a company or organization that provide service or product to the employee and any person hire service from the employer, for which the employee has to pay. An employee is an individual or organization that work full time or part-time according to requirements and receive compensation for the services.

Step-by-step explanation:

Let a = -2, b = 5, c = -7, and x = -3.
Evaluate ax² + bx + c.
1) - 34
2) 14
3) - 40
4) - 4

Answers

Answer:-

[tex]\red{\bigstar}[/tex] The final evaluation of the given expression is [tex]\large\leadsto\boxed{\rm\purple{- 40}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Given:-

Expression = ax² + bx + c

a = -2

b = 5

c = -7

x = -3

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Solution:-

Substitute the given values of each variable in the expression.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\bold{ax^2 + bx + c}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf (-2) \times (-3)^2 + (5) \times (-3) + (-7)[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf (-2) \times (9) + (-15) + (-7)[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf - 18 - 15 - 7[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\bold\red{\large{- 40}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\pink{\bigstar}[/tex] Therefore, the the final evaluation of the given expression is -40.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\pink{\bigstar}[/tex] Hence, the Option. C

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{ax^2 + bx + c}}[/tex]

[tex]\huge\boxed{\mathsf{= -2(-3)^2 + 5(-3) + (-7)}}[/tex]

[tex]\huge\boxed{\mathsf{= (-2)(9) - 15 - 7}}[/tex]

[tex]\huge\boxed{\mathsf{= -18 - 15 - 7}}[/tex]

[tex]\huge\boxed{\mathsf{= -33 - 7}}}[/tex]

[tex]\huge\boxed{\mathsf{= -40}}[/tex]

[tex]\huge\boxed{\rm{Therefore, your \ answer\ is: \boxed{\mathsf{Option\ C. -40}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

a farmer knows that 5 sheep produce about 25 pound of wool. which is the best estimate how much wool the farmer can expect to get from her flock of 68 sheep

Answers

Answer:

340 pounds of wool

Step-by-step explanation:

If we take the estimate of 25 pounds for 5 sheep, you can guess that there is 5 pounds from each sheep. So, 5×68=340

is -77.49 a integer?

Answers

Answer:

No

Step-by-step explanation:

Integers are numbers that can be written without any fractional parts. So any number with a decimal would not be considered an integer.

hope this helps!

Which phrase does not describe a rational number? a) integer number b) repeating decimal c) terminating decimal d) non-repeating, non terminating decimal​

Answers

Step-by-step explanation:

d)

that is the pure definition of an irrational number

Please help ASAP!
find the coordinates of each figure after the given transformation

Answers

Answer:

A'(-3, -2)

B'(-2, -1)

C'(-2, -2)

Step-by-step explanation:

The translation is (x - 7, y + 1).

That means subtract 7 from the x-coordinate and add 1 to the y-coordinate of each point.

Point A is (4, -3).

Subtract 7 from the x-coordinate 4 to get -3.

Add 1 to the y-coordinate -3 to get -2.

For point A, you get A'(-3, -2) after the translation.

Do the same with points B and C.

B(5, -2) ---> B'(5 - 7, -2 + 1) = B'(-2, -1)

C(5, -3) ---> C'(5 - 7, -3 + 1) = C'(-2, -2)

Use the quadratic formula to solve x2 – 5x + 3 = 0.
ОА.
51/37
X =
2
B.
*.51473
O c. x.-311
2
D. X-
25+ 117
2
RE

Answers

Answer:

x is 4.30 and 0.697

Step-by-step explanation:

Quadratic formular:

[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ [/tex]

a » 1

b » -5

c » 3

[tex]x = \frac{ - ( - 5)± \sqrt{ {( - 5)}^{2} - (4 \times 1 \times 3)} }{(2 \times 1)} \\ \\ x = \frac{5± \sqrt{13} }{2} [/tex]

Therefore, values of x :

[tex]x = \frac{5 + \sqrt{13} }{2} \: \: and \: \: \frac{5 - \sqrt{13} }{2} \\ \\ x = 4.30 \: \: and \: \: 0.697[/tex]

a bus traveled on a road for 3 hours at an average speed 20 miles per hour faster than it traveled on a winding road the time spent on the winding road was 5 hours. find the average speed on the level road if the entire trip was 316 miles

Answers

Answer:

39.5

Step-by-step explanation:

A footbal team won.8 games and lost 2 and tie 1 what percent of games they won

Answers

first i would add 8+2+1= 11 so 11 games total. then i think you would divide 8 by 11 which would be 0.7272. you would round up to 73% and i think that would be the percent of games won.

Job A: $496.15 per week​​Job B: $25,750 per year
​a. Which job pays more?
​b. How much more?

Answers

Answer: A. Job A pays more

B. $49.80

Step-by-step explanation:

The answer is A. Job A pays more

I really need help in this 7th grade math

Answers

Answer:

the awnser is 28

Step-by-step explanation:

the little 2 mean you times the 3 by it so it's 1+6. which is 7 and 18+2 is 20 and 20+7 is 28

Determine which of the following Equations illustrates the Commutative Property of
Multiplication. *
(1 Point)
(6) (2) (3) = (3) (2) (6)
2 +8 = 2 (1+4)
7+ (8 + 5) = (7 + 8) + 5
(5) (3 x 4) = (5 x 3) (4)

Answers

Answer:

3" (and any subsequent words) was ignored because we limit queries to 32 words.

Please Help! I will give you a lot of points and the brainiest!
-You have to use Hindu-Arabic number system

Answers

Answer:

10726 ₉

Step-by-step explanation:

The number greater than 8 is 10 in the base 9.

  2010 ₉

+ 7716 ₉

------------

10726 ₉

Step-by-step explanation:

2010_(9)

+ 7716_(9)

_______

10726_(9)

3.568409 rounded to the nearest hundredth

Answers

Answer: 3.57!!!!!!!!!

Convert 720C to Kelvin

Answers

Answer:

720°c+273 =993k is the answers for the question

Step-by-step explanation:

please give me brainlest

a store is selling a sweater for $68. if the state adds in a 8.5% sales tax, find the total price of the sweater

Answers

Answer:

$73.78

Step-by-step explanation:

$68 + (68*8.5%)

$68 + (68*0.085)

$68 + $5.78

$73.78

The total price of the sweater will be $73.78.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The percentage is just like the amount of that value but in between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

Given that,

Price of sweater = $68

Percentage tax on the price of sweater = 8.5%

Now,

8.5% of 68 will be

⇒ 8.5 × 68/100 = $5.78

So, the total price will be

⇒ 68 + 5.78 = $73.78

Hence "The total price of the sweater will be $73.78".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

*order of operation
296-(65•2-32/4

Answers

Answer:

174

Step-by-step explanation:

start with the numbers inside the parenthesis! next, multiply (65 x 2) = 130, then divide (32/4) = 8. then, subtract 130-8 to get 127. now move outside the parenthesis and subtract 296-127 = 174!

How many city bangladesh

Answers

Answer:

42

Step-by-step explanation:

Altogether, there are 42 such cities in Bangladesh. 11 of these cities can be considered major cities as these are governed by "City Corporations". All of the "City Corporation"-governed cities currently have a population of more than 200,000 (which is not a criterion for the status).

Answer:

42

Step-by-step explanation:

According to the Bangladesh Bureau of Statistics and the Ministry of Local Government, Rural Development and Co-operatives of Bangladesh, there are 532 urban centres in Bangladesh. The bureau defines an urban centre with a population of 100,000 or more as a "city". Altogether, there are 42 such cities in Bangladesh.

_______________________

I Hope It Is Helpful For You.

What’s the answer to 1 and 2???
Whoever gives me the right answer gets brainlest
Due in 30 minutes
Answer ASAP

Answers

the answer to 1 and 2 is 1 and 2. now give me brain

-56-(-95) plss help plsssssssssssssssssssssssssssssssssssssssssss

Answers

-56 - (-95) = -56 + 95 =

= 95 + (-56) = 95 - 56 =

= 39

if I have £6507278 and I gave my parents half of my money how much would I have left. guys pls answer this​

Answers

divide by 2? bro come on now you got this

Answer

divide by 2? bro come on now you got this

Step-by-step explanation:

...

f(x) = x - 2
g(x) = x2 + 1
Find (f - g)(2)
-93
-5
9
5

Answers

Answer:

(f - g)(2) = -3

Step-by-step explanation:

x - 2 - x2 + 1

2 - 2 - 2^2 + 1

2 - 2 - 4 + 1

0 - 4 + 1

-4 + 1

-3

Please anyone help me _ Logarithm Questions

Answers

Answer:

please mark me as brianlist

Step-by-step explanation:

a. log_a 64 = log_a 4³ = 3 log_a 4

= 3 (1.585) = 4.755

b. log_a 1/16 = log_a 4`² = -2 log_a 4

= -2(1.585) = -3.17

c. log_a 36 = log_a 4×9 = log_a 4 + log_a 9

= 1.585 + log_a 9

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