Help pls number 17 show work if needed!ty!

By utilizing trigonometric identities,we got cos 2θ = -1519/1681.

Given that sin θ = 40/41 and θ is a positive acute angle, we can find cos θ using the Pythagorean identity sin²θ + cos²θ = 1. Rearranging the equation, we have cos²θ = 1 - sin²θ.

Substituting the given value, we get cos²θ = 1 - (40/41)² = 1 - 1600/1681 = 81/1681.

Now, we can find cos 2θ using the double-angle identity cos 2θ = cos²θ - sin²θ.

Substituting the known values, we have

cos 2θ = (81/1681) - (40/41)² = 81/1681 - 1600/1681 = -1519/1681.

Therefore, cos 2θ = -1519/1681.

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If we pick a card, roll a die, and find the sum , the different sums possible is 17.

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

If we pick any card and roll a die

The sum possible is

The highest it can be would be  13(card) + 6(die)  =19

the Lowest it can be would be 1(card) + 1 (die)  = 2

So the different sums possible is 19-2 = 17.

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Answer:

what I'm bored

Step-by-step explanation:

what's u need help with anything I'

Answer:

y=-5x+6

Step-by-step explanation:

To find your slope (or m value), you must identify 2 points that your line crosses through (I used (1,1) and (0,6). You can either count up and over to the point (0,6) from (1,1), or you can use the formula y2-y1/x2-x1 (it would look like 6-1/0-1). This will give you -5 for your slope.

Your x-intercept (or b value) is 6 because you can see from the graph that that is where your line intercepts y.

I hope this helped :)

Step-by-step explanation:

6.3%

that is the correct answer

Answer:

Instead of adding the exponents of 2 to get four you should just leave the exponent as two in the final answer.

Answer:

$40

Step-by-step explanation:

The cost for each pound of trail mix is $1.5 and each pound of jelly beans is $3.5 .

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

According to the question

A store is having a sale on trail mix and jelly beans .

Let trail mix = T

and  jelly beans = J

For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $18.

i.e

5T + 3J = 18 -------------------------- (1)

For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $45.  

i.e

2T + 12J = 45 -------------------------------(2)

Now,

multiplying eq (1) from 4

20T + 12J = 72 -----------------(3)

Solving equation (3) and (2) the equation by elimination method

20T + 12J = 72 -----------------(3)

2T + 12J = 45  -------------------------(2)

subtracting equation (2) from (3)

18T = 27

T = 1.5

substituting the value of T in equation 1

5T + 3J = 18

5*1.5 + 3J = 18

7.5 + 3J = 18

3J = 18 - 7.5

3J = 10.5

J = 3.5

Hence, the cost for each pound of trail mix is $1.5 and each pound of jelly beans is $3.5 .

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Answer:

Step-by-step explanation:

A) r = 29

B) The tangents to a circle have same length:

LM = 3*5 + 3 = 18

C) Use the intersecting secants theorem:

Answer:

The (x,y) point of the vertex is usually labelled as:

Vertex = (h, k)

h = -b / 2a

k = ah^2 + bh + c

f(x) = -3x^2 + 12x -5

a = -3 b=12 c=-5

h = -12 / -6  therefore h = 2

k = -3*2^2 + 12*2 -5

k = -12 + 24 -5  therefore k = 7

Vertex (2, 7)

Source: http://www.1728.org/quadr3.htm

Step-by-step explanation:

Answer:

x = -1

x + 2 = 1

x = 1 - 2

x = -1

Hope that helps!

-Sabrina

Step-by-step explanation:

Answer:

69.5 FT

Step-by-step explanation:

\cos C = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{x}{95}

cosC=

hypotenuse

adjacent

​

=

95

x

​

\cos 43=\frac{x}{95}

cos43=

95

x

​

95\cos 43=x

95cos43=x

Cross multiply.

x=69.4786\approx \mathbf{69.5}\text{ feet}

x=69.4786≈69.5 feet

Answer:

The regular cost of each ticket is $30

Step-by-step explanation:

Hi,

You and three friends means there was a total of 4 people. Your equation is...

4x - 20 = 100

Remember to add the -20 since there was a coupon that saved you $20.

Now solve...

4x - 20 = 100

+ 20 on both sides

4x = 120

Divide by 4 on both sides

x = 30

The regular cost of each ticket is $30

Hope this helps :)

Answer:

e it's  really first question re  want to make this

each ticket would be $25  a regular

Step-by-step explanation:

Answer:

radius:19.73521 Diamiter:39.47042 Area:1223.583

Step-by-step explanation:

Answer:

4x^+2x+1=0

Step-by-step explanation:

Answer:

x=50

H=115

Step-by-step explanation:

Answer:

504ft3

Step-by-step explanation:

V=Bh

V=(18x2) 14

V=36x14

V= 504

Answer:

volume = height × length ×width

volume =18×14×2

volume =504ft³

the ones with straight lines are functions the ones that are curved is not a function

Answer:

Ones that have 2 values of y for a single value of x

(vertical line, sideways v shape are not functions)

Step-by-step explanation:

In a function, each input (x) can have only one output (y)

There cannot be two ys for one x

Answer:

8

Step-by-step explanation:

f(x) = x³ - 2x² - 24x

x³ - 2x² - 24x = 0

x(x² - 2x - 24) = 0

x = 0

x² - 2x - 24 = 0

a = 1, b = -2, c = -24

Delta = (-2)² - 4 * 1 * (-24) = 4 + 96 = 100

x = (-(-2) - 10)/(2 * 1) = -8/2 = -4

x = (-(-2) + 10)/(2 * 1) = 12/2 = 6

Answer: 2)

Answer:

16pi or 50.24

Step-by-step explanation: