Mathematics High School


Use the given information to find the exact value of each of the following.
a. sin 2theta =
b. cos 2theta =
c. tan 2theta =
cot theta = 11, theta lies in quadrant III
a. sin 2theta =

Use The Given Information To Find The Exact Value Of Each Of The Following.a. Sin 2theta =b. Cos 2theta

Answers

Answer 1

Answer:

Step-by-step explanation:

cot θ=11

tan θ=1/11

[tex]\sin ~2\theta=\frac{2 \tan ~\theta}{1+\tan^2 \theta} =\frac{2*\frac{1}{11} }{1+(\frac{1}{11} )^2}=\frac{22 }{122} \\\\cos~2 \theta=\frac{1-tan^2 \theta}{1+tan^2\theta} =\frac{1-(\frac{1}{11})^2 }{1+(\frac{1}{11} )^2} =\frac{120}{122} =\frac{60}{61} \\tan 2 \theta=\frac{2 tan\theta}{1-tan^2 \theta} =\frac{2*(\frac{1}{11 } )}{1-(\frac{1}{11} )^2} =\frac{2*11}{120} =\frac{11}{60}[/tex]

Related Questions

f(x) = -3x^2
Find f(-2)

Answers

9514 1404 393

Answer:

  f(-2) = -12

Step-by-step explanation:

Put -2 where x is and do the arithmetic.

  [tex]f(x)=-3x^2\\\\f(-2)=-3(-2)^2=-3\cdot4=\boxed{-12}[/tex]

Please help. Will go be brainliest

Answers

Answer:

a

Step-by-step explanation:

7/9 * 10/9 * 0.62 =

(7 * 10 * 62) / (9 * 9 * 100)

Multiply

4340 / 8100

Simplify by dividing by 20.

217/405 (about 0.535)

This is less than 2/3 (about 0.66), so it has to be "a" because all the other options are greater than 2/3

I need help asapp pls

Answers

B b b b b b b b b b b

You have $20. This week, you choose to put 10% in your piggy bank. Next week, you decide to put 10% of your money in your bank again. How much money do you have left to spend?

Answers

Answer:

the amount left is 16.2

Step-by-step explanation:

The computation of the amount of money spend is shown below;

Given that

Total money available $20

This week 10% would be put in piggy bank

and, in next week 10% of the money would be put again in piggy bank

So the money left is

= $20 - $20 × 10% - ($18 × 10%)

= $20 - $2 - $1.8

= $16.2

Hence, the amount left is 16.2

how many subsset can be obtained from the set A={ m, a ,t ,h}​

Answers

Answer:

Step-by-step explanation:

{m}, {a} , {t} ,{h} ,{m,a}, {m,t} ,{m,h} ,{a,t} ,{a,h} ,{t,h} ,{m,a,t} ,{m,a,h} ,{m,t,h} ,{a,t,h} ,{ m,a,t,h} , {} are the subsets of the given question.

If you found my answer useful then please mark me brainliest.

Larry was paid a total of $30 for raking leaves for 8 hours. This rate is constant. What will be the total amount that Larry will be paid for raking leaves for 20 hours of work

Answers

Answer:

Step-by-step explanation:

one hour makes 3.75

20*3.75 = 75

i think it’s 75 not sure

HELP PLZZZ WILL GIVE BRAINLEAST

Answers

Answer:

b,c,d,f

Step-by-step explanation:

[tex]perimeter=2(3\sqrt{8} +4\sqrt{20} +2\sqrt{24} ) \\=2(3\sqrt{8} )+2(4\sqrt{20} +2\sqrt{24} ) \\=6\sqrt{8} +8\sqrt{20} +4\sqrt{24} \\=6.8^{\frac{1}{2} } +8.20^{\frac{1}{2} } +4.24^{\frac{1}{2} } \\or~ =12\sqrt{2} +16\sqrt{5} +8\sqrt{6} \\[/tex]

What is the image point of (-6,-9)(−6,−9) after a translation left 1 unit and down 5 units?

Answers

Answer:

(-7,-4)

Step-by-step explanation:

-6-1=-7

-9-(-5)=-4

Which of the following expresses the possible number of positive Icai
solutions for the polynomial equation shown below?
5x° + x2 - 7x+ 28 = 0
O A. Zero
B. One
C. Two or zero
D. Three or one

Answers

9514 1404 393

Answer:

  C.  Two or zero

Step-by-step explanation:

The signs of the polynomial terms are: + + - +.

There are two sign changes, one from + to -, and the other from - to +. The two sign changes means the number of positive real roots will be a maximum of 2. Any even number of roots may be complex, so will not be real. That is, the number of positive real roots may be 2 or 0.

Find 80% of 14,236.
Enter the correct answer in the box.

Answers

11388.8 ( that’s what i got when i looked it up so sorry if it’s not right :/ )
80%+14236=14236.8
80%x14236=11388.8
I think the second one is the correct answer

Let m=7 and r = 8

Evaluate the expression. (r)(m)

Answers

(8)(7) = 56
Hope this helps

*URGENT* I NEED HELP WITH THIS QUICK

Answers

The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x * 0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was 89.

Hope this helps!
Have a nice day :)

help Solving Exponential Functions

Answers

Step-by-step explanation:

4) p(x)=256

p(x)=2 ^ x+2

256=2 ^ x+2

2⁸= 2 ^ x+2

8=x+2

x=8-2=6

5)243=3 ^ x+3

3×3×3×3×3 = 3 ^ x+3

3⁵= 3^ x+3

5 = x+3

x=5-3=2

Answer:

[tex]p(x) = 256 \\ p(x) = {2}^{(x + 2)} \\ {2}^{(x + 2)} = 256 \\ {2}^{(x + 2)} = {2}^{8} \\( x + 2) = 8 \\ x =( 8 - 2) \\ \boxed{x = 6}[/tex]

x=6 is the right answer.

[tex]243 = {3}^{(x + 3)} \\ {3}^{(x + 3)} = {3}^{5} \\ (x + 3) = 5 \\ x = (5 - 3) \\ \boxed{ x = 2}[/tex]

x=2 is the right answer.

please help with thisss​

Answers

Answer:

11, 17

Step-by-step explanation:

The difference between -7 and -1 is +6, and -1 and 5 is +6 as well. So 5+6 = 11

and 11 + 6 = 17

its 11, 7 :)) i checked

Dkdjhsshahuaiakaksssksjs

Answers

Answer:

-1

Step-by-step explanation:

Not gonna explain or show work, because u didnt say

The answer is 1/9 in standard form, hope this helps:)

Pls help pls I’ll mark u brain

Answers

Answer:

In the third month, Becca walks 7 dogs.

I think the answer is 7 dogs

You want to limit the amount of television you watch to an average of at most 2 hours a week during and eight week period. How many hours x can you watch in the eight weeks to meet your goal.

Answers

Answer:

x = 16hours

Step-by-step explanation:

Given

Total number of hours to watch the television a week is 2 hours, that is;

2hours =1 week

We are to find the number of hours to watch in eight weeks to meet the goal

x hours = 8 weeks

Divide both expressions;

2/x = 1/8

Cross multiply

1 * x = 2*8

x = 16

Hence he will use 16hours to watch the television in 8 weeks

PLEASE HELP ME!!! I need the answer quick please if you can!

Answers

Answer:

angle 1 is 145°

Step-by-step explanation:

this is because à horizontal line is always 180° so you jus have to subtract 35 from 180

find the geometric mean of the numbers:
2 and 8

10 and 12

Answers

Answer:

2 and 8: negative and positive 4

10 and 12, sqrt 120, which simplifies to 2 sqrt 30

Step-by-step explanation:

apparently geometric mean... is taking the product... and square rooting it? okay

-10(-1/2y+(-7/2)+7y=-25

Answers

Answer:

y = -5

Step-by-step explanation:

-10(-1/2y + (-7/2)) + 7y = -25

Let's first of all expand the bracket to get;

5y + 35 + 7y = -25

12y + 35 = -25

12y = -25 - 35

12y = -60

y = -60/12

y = -5

Please helpppp........,

Answers

roc is 12. and x is 3
I don’t know ask someone else

PLEASE HELP ASAP. WILL MARD BRAINLYEST

On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its
dimensions are shown below. What is the area of the sign?

O 35 square feet
O 40 square feet
O 50 square feet
O 55 square feet

Answers

Answer:

Answer:

35 square feet

Step-by-step explanation:

can someone please help me ​

Answers

Try and use Desmos if you still need help comments

if angle 4 =2x+7 and. angle 8 =3x-13 find x for both equations ​

Answers

Answer:

2x +3x =7-13=4+8

Step-by-step explanation:

5x= -6= 12

Help me ASAP pls! Convert the measurement. Round the nearest hundredth.

Answers

Answer: 252

Step-by-step explanation:

i believe the answer is 6.4

She said I drove her away with my emotions

Answers

Then be emotionless or just don’t change for someone who doesn’t even want you. Know your self worth

I REALLYYYYY NEED HELP PLSSSS NO DUM ANSWERS I SERIOUSLY NEED HELP

Answers

Answer:

First blank: 869x

Second blank: 17,575

D

Step-by-step explanation:

Men (f): 389x + 7500

Women (g): 480x + 10075

Equation: (f + g)

Equation: 389x + 7500 + 480x + 10075

Combine like terms

869x + 17575

Equation: 869x + 17,575

Pls help taking im taking
The table shows the proportional relationship between the gallons (g) of fuel and the price (p) at Phil's Gas Station
PHIL'S GAS STATION
Gallons (g) Price (p)
5 $13.75
10 $27.50
15 $41.25
20 $55.00
The price of gas at Bob's Gas Station is $0.25 less per gallon than Phil's Gas Station. Which equation shows the price of gas at Bob's Gas Station?
A p = 2.59
OB. p = 2.79
oc. p= 2.759
OD p = 39

Answers

Answer: A

Step-by-step explanation:

The equation p = 2.5g shows the price of gas at Bob's Gas Station.

What is equation?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Types of Equations:

   Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.

   Quadratic Equation:This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.

  Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.

   Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.

the equation of price of gas at Phil's station is:

for p = 2.7g +0.25g

p(5) = 2.7*5+0.25*5

= 14.75 (which is not true)

hence,

p = 2.5g + 0.25*g

p(5) = 2.5*5 + 0.25*5

p(5) = 13.75

hence equation of price of gas at Bob's station is:

p = 2.5g

To know more about equation please visit:

brainly.com/question/10413253

#SPJ2

A store has a 40% off sale on headphones. With this discount, the price of one pair of headphones is $36.
What is the original price of the pair of headphones?

Answers

Answer:

21.6

Step-by-step explanation:

i did the math

21.6 is the answer have a nice grade:)

divide the sum of 3.19 and 2.39 by 3.6​

Answers

Answer:

1.55

Step-by-step explanation:

3.19 + 2.39 = 5.58

5.58 / 3.6 = 1.55

My answer is 1.55 because I added them up and got 5.58 and divided it by 3.6 and got that hope I helped ;)
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