Find the exact values of cos 2x and tan 2x if sin x =4/5 and x is a quadrant II angle.

Answers

Answer 1

Answer:

Step-by-step explanation: 3-4-5 triangle

If sinx = 4/5, then cosx = -3/5 and tanx = 4/-3   x is approximately 126.87°

cos2x = cos²x - sin²x = (-3/5)² - (4/5)² = 9/25 - 16/25 = - 7/25

tan2x = 2tanx / (1 - tan²x) = 2(4/-3) / (1 - (4/-3)²) = (8/-3) / (1 - 16/9) = (-8/3) / (-7/9)

tan2x =  (-8/3) • (-9/7) = 72/21 = 24/7


Related Questions

Which number line best shows how to solve −8 − (−6)?
PLEASE ANSWER!!!
(look a picture for more details)

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]-8-(-6)[/tex]

[tex]=-8-(-6)[/tex]

[tex]=-8+6[/tex]

[tex]=-2[/tex]

The answer is B.

Here's a graph photo!

Hopefully, this helps you!!

[tex]Sokka[/tex]

A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.073t,
where
m(t)
is measured in grams. After how many days is there only 5 g remaining?

Answers

15 days

Step-by-step explanation:

The half-life equation is given as

[tex]m(t) = m(0)e^{-0.073t}[/tex] (1)

where m(0) is the initial mass of radioactive iodine at t = 0. To solve for the time t, let's put the exponential part on the left-hand side:

[tex]e^{-0.073t} = \dfrac{m(t)}{m(0)}[/tex]

Taking the natural logarithm of both sides to get

[tex]\ln{e^{-0.073t}} = \ln\left[\dfrac{m(t)}{m(0)}\right][/tex] (2)

Recall the following properties of logarithms:

[tex]\ln{A}^b = b\ln{A}[/tex]

[tex]\ln{e} = 1[/tex]

We can rewrite Eqn(2) as

[tex]-0.073t = \ln\left[\dfrac{m(t)}{m(0)}\right][/tex]

Solving for t, we get

[tex]t = -\dfrac{1}{0.073}\ln\left[\dfrac{m(t)}{m(0)}\right][/tex]

Since m(0) = 15 gm and m(t) = 5 gm, then the amount of time that elapses to reduce the mass down to 5 gm is

[tex]t = -\dfrac{1}{0.073}\ln\left(\dfrac{5\:\text{g}}{15\:\text{g}}\right)[/tex]

[tex]\:\:\:\:\:= 15\:\text{days}[/tex]

Evaluate these expressions if x = 8. Substitute the number for the variable and solve. Follow the order of operations. 7 + x, 12 - x, x + 3, 32/x​

Answers

Answer:

15, 4, 11, 4

Step-by-step explanation:

x=8

so 7+x, 7+8= 15

12-8 = 4

x+3 , 8+3=11

32/8 = 4

In the ratio of 3:2:2, three brothers invested a total of 49000 pesos to a store. Find each brother's share in the investment.

Answers

Answer:

21000,14000,and14000

Step-by-step explanation:

3x+2x+2x=49000

7x=49000

x=7000

3×7000=21000

2×7000=14000

2×7000=14000

Please help asap! Solve for x and y

Answers

Answer:

Step-by-step explanation:

You are working with a square. All 4 sides are equal

2x+ 1 = 4x - 7         Subtract 2x from both sides

1 = 4x - 2x - 7         Combine

1 = 2x - 7                Add 7 to both sides

1 + 7 = 2x               Combine

2x = 8                    Divide by 2

2x/2 =8/2

x = 4

The diagonals of a square bisect the 90 degree angle.

7y + 3 = 45           Subtract 3 from both sides

7y = 45 - 3            Combine

7y = 42                 Divide by 7

y = 42/7

y = 6


Which equation repersentes a
linear function?

Answers

Answer:

The formula y = mx + b is said to be a linear function

Step-by-step explanation:

Answer:

D. is a linear function

Step-by-step explanation:

A. rational function

B. quadratic function

C. cube root function

Sarah had 1 3/4 bags of trail mix. She age 1/2 of a bag. She gave 1/3 of a bag to her friend. She dropped 1/6 of a bag and she was sad. How much trail mix did she had left?

Answers

Answer:

3/4 bags of trail mix

Step-by-step explanation:

She ate 1/2 of a bag, she gave 1/3 of a bag, and she dropped 1/6 of a bag. In total she "lost" 1/2+1/3+1/6=1 bag of trail mix. So she has 1 3/4-1=3/4 bags left

8.5x-y= 16
O -y= 5x + 16
O x=5y-16
O y= 5x +16
O y= 5x- 16

Answers

Answer:

y = 5x - 16

Step-by-step explanation:

1. To solve this question, we must convert 5x - y = 16 into slope-intercept form (y = mx + b).

2. (Solving for y)

Step 1: Subtract 5x from both sides.

[tex]5x - y - 5x = 16 - 5x[/tex] [tex]-y = -5x +16[/tex]  

Step 2: Divide both sides by -1.

[tex]\frac{-y}{-1} =\frac{-5x+16}{-1}[/tex] [tex]y = 5x - 16[/tex]

Therefore, the answer is y = 5x - 16.

Please Help Me With this question.

Answers

Answer:

Y=76x

Step-by-step explanation:

if you divide 3 and 228 it is 76. if you divide 5 and 380 it is 76.if you divide 532 and 7 it is 76. and if you divide 11 and 836 it is 76.

Answer:

Step-by-step explanation:

The trick is to get rid of b in y = mx + b. The way to do that is to take 2 values and subtract them

(380 - 228) / (5 - 3) = 152/2 = 76

Not all problems work out this nicely.

The answer is

y = 76x

In this case you can be a little more direct. m = 380 ÷ 5 = 76, but not all equations are this well behaved and doing it the long way is the best way.

In BCD, BC = DB and mB = 139º. Find mD.

Answers

will be 139 = md=87 d\g

Which expression represents Sushmila's total cost for the supplies 3p-5+2s
3p+2(s-5)
3(p-5+2s)
3(p-5)+2s

Answers

Answer: its a

Step-by-step explanation: its the same answer

Answer: the answer is 3(p - 5) + 2s

Step-by-step explanation:

its the only answer there that makes since and hope this helps im kinda bad at algebra but this was easy

13. For a weekly car rental, a car-rental company charges customers a flat fee of $100 plus
10 cents for every mile traveled.
15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
m miles.
16
Create a table of m and A values using the equation from part a for 150, 200, and
250 miles.

Answers

Answer:

a) y = 0.10(16) + 100

y = $ 101.60

b) y = 0.10(150) + 100

y = $115

c) y = 0.10(200) + 100

y = $120

d) y = 0.10(250) + 100

y = $125

Step-by-step explanation:

GIVING BRAINLIST TO FIRST RIGHT ANSWER NO BOTS

Answers

Answer is D line graph I’m sure of it

is 2k(2k-4) odd or even?

Answers

Answer: Even

Step-by-step explanation:

Because it shows that the is 2k

the even numbers 2k+2,2k+4,...,4k,4k+2

The formula for the area of a trapezoid is A= 1/2h(b1+b2), Where h is the height and b1 and b2 are the two bases. Rewrite the formula to solve for b1 in terms of A, h, and b2.

Answers

Answer:

Correct choice: B

Step-by-step explanation:

Equation Solving

The area of a trapezoid with height h and bases b1 and b2 is given by:

We must solve this formula for h.

First, multiply by 2 to eliminate denominators:

Now, divide by b1+b2:

Swapping sides:

Correct choice: B

can someone plz help with this FAST
I WILL MARK BRAINIEST

Answers

Answer:

A. 1.56

Step-by-step explanation:

[0(3) + 1(9) + 2(10) + 3(2) + 4(1)] / [3 + 9 + 10 + 2 + 1]

Simplify the expression (ab^2)*(-b^4a^3)^2​

Answers

if any doubt leave a comment below

If ur question has two “carries” in one as I see here the answer is: ab^8a+2

whats the answer can someone answer please​

Answers

Answer:

both are c

Step-by-step explanation:

Guys can u help me on this one pls it's math​

Answers

Answer:

B.O.D.M.A.S

Step-by-step explanation:

B: Bracket

O: Operation

D: Division

M: Multiplication

A: Addition

S: Subtraction

Follow these steps.

Hope you understand ^^

Answer:

✏️ Answer

On the pic. ↑

Step-by-step explanation:

Hope it's help

#CarryOnLearning#BrainlyPh

xXxNoyaxXx

Andre ran a 100 meter race in 12 seconds. What was his average speed as he ran?

Answers

his average speed as he ran: V = S/t = 100/12 = 25/3 (m/s)

ok done. Thank to me :>

Speed is the time rate at which an object is moving along a path. 25/3 is the average speed as he ran

What is Speed?

Speed is the time rate at which an object is moving along a path.

Speed =Distance/Time

His average speed as he ran:

V = S/t

Hundred by twelve.

= 100/12

Divide numerator and denominator by four.

Twenty five by three.

Average speed= 25/3 (m/s)

Hence if Andre ran a 100 meter race in 12 seconds. 25/3 is the average speed as he ran

To learn more on Speed click:

https://brainly.com/question/28224010

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Samantha is training to be a paramedic.
She works in the emergency room
of a hospital as part of the training
requirements. So far, she has completed
619 hours. If Samantha worked a total of
58 days so far, about how many hours
did she work each day?

Answers

About 10hours a day is the answer
10 hours per day , did you need to show any work or just an answer?

PLZ HURRY IT'S URGENT!!!!
Find the area of the circle to the nearest hundredth. (Use 3.14 for π)



options:

452.16 cm2


37.68 cm2


113.04 cm2


18.84 cm2

Answers

Answer:

113.04 cm^2

Step-by-step explanation:

To find the area, you do radius squared, multiplied by [tex]\pi[/tex]

Radius is half of the diameter. 12/2 is 6

6^2×3.14=113.1

The angle measure of a triangle is shown in the diagram.
what is the value of x?
A. 13
B. 20
C. 5
D. 12

Answers

To find X it is a degree value.
All of the angles in this triangle add to give 180 degrees.

So set the sum of every angle = 180
180 = 95 + 3x+4 + 4X-3

To solve this you want x by itself so bring 95 to the other side by subtracting it. Add the 3x and 4X. Add 4 and -3.
85 = 7x + 1

Subtract the 1 to isolate x
84 = 7x

Divide by 7
X = 84/7

To see if it is A, B, C, D plug in the value and see if it adds up to 180

Find the value of x. Show all work.
(9x+9)°
45
5x

Answers

Angles on a straight line add to 180 degrees. This means that the missing angle in the triangle is 180 - 9x + 9.

Next, angles in a triangle add up to 180 degrees. This means that:
45 + 5x + 180 - 9x + 9 = 180

We can simplify this down:
234 - 4x = 180

Now subtract 234 from both sides:
-4x = -54

Finally divide both sides by -4:
x = 13.5 degrees

Hope this helps!

In Diagram 6, JCK is a tangent to the circle ABC
Find the value of x.
A 1149 B 76° C 52° D 26°​

Answers

Answer:

C

Step-by-step explanation:

if you don't know it choose C

Why do you have a premium? That's :(

Answers

Answer:

i dont have a premium

Step-by-step explanation:

Answer:

Step-by-step explanation:

The second of three numbers is 5 times the first. The third number is 3 more than the second. If the second is decreased by twice the third, the result is -21. Find the Three numbers

Answers

Answer:

tag archives and records and counting the days

Answer:

1st number is 6

2nd number is 30

3rd number is 33

Step-by-step explanation:

Let x be the first number.

The second of three numbers is 5 times the first = 5x

The third number is 3 more than the second = 5x + 3

If the second is decreased by twice the third, the result is -21.

Multiply the third number by 2.

2(5x + 3)

= 10x + 6

Subtract the second number to it.

(5x)-(10x + 6) = -21

-5x - 6 = -21

Use APE or Addition Property of Equality

-5x = -21 + 6

-5x = -15

Use DPE or Division Property of Equality to get the value of x

[tex]\frac{-5x}{-5} = \frac{-15}{-5}[/tex]

x = 3

Now put the value of x in the equation

first number(x) = 6

second number(5x) = 5(6) = 30

third number(5x + 3)

5(6) + 3

30 + 3 = 33

Write a recursive formula for An, the nth term of the sequence 80, -20,5, ....

Answers

Answer:

  a[1] = 80; a[n] = -a[n-1]/4

Step-by-step explanation:

The given sequence has a first term of 80 and a common ratio of -20/80 = -1/4. That is, each term is -1/4 times the previous one. The recursive formula is ...

  [tex]A_1=80\\A_{n}=-\dfrac{1}{4}\times A_{n-1}[/tex]

What is 18/100 written as a decimal?

Answers

[tex]0.18[/tex]

is the decimal point

Fill in the blank to make each equality true. _ divided by (1/2x^3)=16x^6y^4.
PLS HELP!

Answers

Answer:

(8x^9 x y^4) : (1/2x^3)=16x^6y^4

Step-by-step explanation:

8 : 1/2 = 16

x^9 : x^3 = x^6

Equation - [tex]8x^3y^4[/tex] divided by (1/2x^3)=16x^6y^4.

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign. A mathematical equation is a formula that uses the equals sign to express the equality of two expressions. The meanings of the word equation as well as its cognates in other languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.

Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that satisfy the equality are known as the equation's solutions.

Let the required term be z.

[tex]z/ (1/2x^3)=16x^6y^4[/tex]

[tex]z=(16x^6y^4) }{(1/2x^3)}[/tex]

[tex]z = 8x^3y^4[/tex]

Hence, [tex]8x^3y^4[/tex]

Learn more about equation from the link

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