3) Consider the sequence -11 ; 2sin3x ; 15; ...

3.1.1) Determine the values of x in the interval [0 ; 90] for whichthe sequence will be arithmetic.​

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Explanation:

For any cyclic quadrilateral (aka inscribed quadrilateral), the opposite angles are always supplementary.

One pair of such angles is A and C

A+C = 180

x+y = 180 is one equation to form

The other pair of supplementary angles is B and D

B+D = 180

y-45+2x+15 = 180

2x+y-30 = 180

2x+y = 180+30

2x+y = 210 is the other equation to form

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

So the system of equations we have is

[tex]\begin{cases}x+y = 180\\2x+y = 210\end{cases}[/tex]

Both equations involve 'y', with the same coefficient, so we can subtract straight down to eliminate this variable.

We end up with -x = -30 which solves to x = 30

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Once we know x, we can determine y by plugging it into any equation involving x,y and solving for y

Let's say we picked on the first equation

x+y = 180

30+y = 180

y = 180-30

y = 150

Or we could pick on the second equation

2x+y = 210

2(30) + y = 210

60+y = 210

y = 210-60

y = 150

Only one equation is needed. However, doing both like this shows that we get the same y value, and it helps confirm the answers.

Answer:

81

Step-by-step explanation:

180-41-58=81

angles in a triangle add up to 180 :)

-291x+10

:)))))) Have fun

Answer:

SEE BELOW

Step-by-step explanation:

1. sample size - 1,251

2 .statistic - 53.6%

3. parameter - 86%

hope this helps :)

Answer:

5/12

Step-by-step explanation:

5/12 , 2/3, 5/6,3/4

Get a common denominator of 12

5/12, 2/3 *4/4, 5/6*2/2, 3/4 *3/3

5/12, 8/12, 10/12, 9/12

The numerator closest to 0 is the fraction closest to 0

5/12

Answer:

I say Its letter d

Step-by-step explanation:

I hope this help

Answer:

1/512

Step-by-step explanation:

Let staring fraction = x

Half-life = 20 years ; this is the time taken for an element to decrease to half of its original size

Hence,

After 20 years - - - > x/2

After 40 years - - - - > x/2 ÷ 2 = x/2 * 1/2 = x /4

After 60 years - - - - > x/4 ÷ 2 = x/4 * 1/2 = x/8

After 80 years - - - - -> x/8 ÷ 2 = x/8 * 1/2 = x / 16

After 100 years - - - > x/16 * 1/2 = x/32

After 120 years - - - - > x/32 * 1/2 = x/64

After 140 years - - - - -> x / 64 * 1/2 = x / 128

After 160 years - - - - - > x / 128 * 1/2 = x/256

After 180 years - - - - > x/256 * 1/2 = x / 512

Hence, the fraction after 180 years = 1/512

Step-by-step explanation:

[tex](4x^2-x+6)-(3x^2+5x-8)=4x^2-x+6-3x^2-5x+8[/tex]

By simplifying the right side of the equation, we come up with

[tex]x^2+6x-14[/tex], or D

Answer:

first: there is a problem in the question in de mentioned quantity u mentioned 10k instead of (10kg).

Step-by-step explanation:

add all your 1uantity afteru divide by 8

Answer:

one fertilizer bag from weight of two kilograms

Step-by-step explanation:

Grams of fertilizer needed = Length in meters * Width in meters * 25

                                            = 8 * 8 * 25

                                            = 1600 grams

Kilograms of fertilizer needed = 1600 / 1000

                                                 = 1.6 kilograms

Therefore, gardener can order 1 fertilizer bag with weight of 2kilpgrams.

Answer:

8.75

Step-by-step explanation:

211/8 = 26.375

141/8 = 17.625

now,

211/8-141/8

26.375-17.625

8.75

Answer:

The answer is C

.91

ED2021

Answer:

C. rotation 180º about the origin

Step-by-step explanation:

Given

Quadrilaterals GWVY and G'W'V'Y'

Required

Describe the transformation rule

Pick points Y and Y'

[tex]Y = (5,-4)[/tex]

[tex]Y' = (-5,4)[/tex]

The above obeys the following rule:

[tex](x,y) \to (-x,-y)[/tex]

When a point is rotated by 180 degrees, the rule is:

[tex](x,y) \to (-x,-y)[/tex]

Hence, (c) is correct

Answer:

CAD = 25°

Step-by-step explanation:

The angles are shown to be equal in the figure so BAC = CAD.

5/3 is farthest according to me

Answered by Gauthmath must click thanks and mark brainliest

Answer:

0.27, 1.1, - 1/4, 5/3

Change all to decimal:-

0.27, 1.1, -.2.5, 1.67

So, 1.67 is farthest from zero

D) 5/3  is your answer

~OAmalOHopeO

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

No question?

Why not add one!

Answer: t = 1.8g

Step-by-step explanation:

Since we are given the information that the tip varies directly with the number of guests, then the formula to use will be:

t = kg

where,

t = wait staff tip

g = number of guests

Therefore, when the number of guests is 10 and the tip is $18, the constant of proportionality will be:

t = kg

18 = 10k

k = 18/10

k = 1.8

Therefore, t = 1.8g

Answer:

A.

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Given

[tex]A = (-1,1)[/tex]

[tex]B = (3,3)[/tex]

[tex]C =(4,-2)[/tex]

Solving (a): [tex]P(0,0) \to Q(1,3)[/tex]

This means that:

[tex](x,y) \to (x+1,y+2)[/tex]

So, we have:

[tex]A = (-1,1)[/tex]

[tex]A' = (-1 + 1,1+2)[/tex]

[tex]A' = (0,3)[/tex]

[tex]B = (3,3)[/tex]

[tex]B'= (3 + 1,3+2)[/tex]

[tex]B'= (4,5)[/tex]

[tex]C =(4,-2)[/tex]

[tex]C' = (4+1,-2+1)[/tex]

[tex]C' = (5,-1)[/tex]

Solving (b): [tex]P(0,-1) \to Q(4,-2)[/tex]

This means that:

[tex](x,y) \to (x+4,y-1)[/tex]

So, we have:

[tex]A = (-1,1)[/tex]

[tex]A' = (-1+4,1-1)[/tex]

[tex]A' = (3,0)[/tex]

[tex]B = (3,3)[/tex]

[tex]B'= (3+4,3-1)[/tex]

[tex]B'= (7,2)[/tex]

[tex]C =(4,-2)[/tex]

[tex]C' = (4+4,-2-1)[/tex]

[tex]C' = (8,-3)[/tex]

Solving (c): [tex]P(-1,-2) \to Q(-2,-2)[/tex]

This means that:

[tex](x,y) \to (x-1,y)[/tex]

So, we have:

[tex]A = (-1,1)[/tex]

[tex]A' = (-1-1,1)[/tex]

[tex]A' = (-2,1)[/tex]

[tex]B = (3,3)[/tex]

[tex]B'= (3-1,3)[/tex]

[tex]B'= (2,3)[/tex]

[tex]C =(4,-2)[/tex]

[tex]C'= (4-1,-2)[/tex]

[tex]C'= (3,-2)[/tex]

Answer: 3 stickers

Step-by-step explanation:

From the question, we know that Pippa's 8 friends have an equal amount of stickers, meaning that the number of stickers that Pippa gave out is a multiple of 8.

Also, we are able to know that Pippa gave as much as she can, meaning that she gave out the stickers until the number is the maximum multiple of 8.

First Five Multiple of 8 = 8, 16, 24, 32, 40

As we can see from the list, 8, 16, and 24 are all multiples of 8, but they are not the maximum number that could fit under 35 stickers. Similarly, 40 exceeds the number of stickers Pippa has. Thus, we are left with 32.

This means, Pippa gave out 32 stickers in total, and each friend got 4 stickers.

Also, this means Pippa would keep 3 stickers for herself.

Hope this helps!! :)

Please let me know if you have any questions

The Square root of 33324324323​ is 182549.511977.

Given:

The function is:

[tex]g(x)=f(x+2)-3[/tex]

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The transformation is defined as

[tex]g(x)=f(x+a)+b[/tex]                .... (i)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]g(x)=f(x+2)-3[/tex]               ...(ii)

On comparing (i) and (ii), we get

[tex]a=2[/tex]

[tex]b=-3[/tex]

Therefore, the graph of g(x) is shifted 2 units left and 3 units down.

Hence, the correct option is C.

Answer:

D. [tex]3x\sqrt{2x}[/tex]

Step-by-step explanation:

The problem gives on the following equation:

[tex]\sqrt{32x^3}+-\sqrt{16x^3}+4\sqrt{x^3}-2\sqrt{x^3}[/tex]

Alongside the information that ([tex]x\geq0[/tex]).

One must bear in mind that the operation ([tex]\sqrt[/tex]) indicates that one has to find the number that when multiplied by itself will yield the number underneath the radical. The easiest way to find such a number is to factor the term underneath the radical. Rewrite the terms under the radical as the product of prime numbers,

[tex]\sqrt{2*2*2*2*2*x*x*x}-\sqrt{2*2*2*2*x*x*x}+4\sqrt{x*x*x}-\sqrt{2*x*x*x}[/tex]

Now remove the duplicate factors from underneath the radical,

[tex]2*2*x\sqrt{2x}-2*2*x\sqrt{x}+4x\sqrt{x}-2x\sqrt{x}[/tex]

Simplify,

[tex]4x\sqrt{2x}-4x\sqrt{x}+4x\sqrt{x}-x\sqrt{2x}[/tex]

[tex]3x\sqrt{2x}[/tex]

Answer:

c = 3.00 + .50b

Step-by-step explanation:

The cost is the flat fee plus the cost per book times the number of books

c = 3.00 + .50b

9514 1404 393

Answer:

  150 m

Step-by-step explanation:

The relationship between arc length (s), radius (r), and central angle (θ) is ...

  s = rθ

Dividing by θ gives the formula for r:

  r = s/θ = (15π m)/(18°(π/180°))

  r = 150 m . . . . the radius of the circle

Answer: A)  4√2 units

Step-by-step explanation:

Use the distance formula to find the distance(d) between Point D and Point C:

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]d=\sqrt{(8-4)^{2}+(2-(-2))^{2}}=\sqrt{(4)^{2}+(4)^{2}}=\sqrt{16+16} =\sqrt{32} =4\sqrt{2}[/tex]

Answer:

15.924 feets

Step-by-step explanation:

The height I'd the flagpole can be obtained using trigonometry ;

Solution triangle has been attached below,

The height, h of flagpole

Tan θ = opposite / Adjacent = h / 12

Tan 53 = h / 12

h = 12 * tan 53

h = 15.924

Answer:

x=5 is in the domain

Step-by-step explanation:

sqrt(x-5) ≥ 0

Square each side

(sqrt(x-5))^2 ≥ 0^2

x-5≥0

x≥5

This is the domain of x

Answer:

Please what is the first value there?

x is the same as 1x or 1

√5 = 2.2360679775

(2)1/2 is the same as 5/2 or 2.5

√7 = 2.64575131106

√11 = 3.31662479036

3.5

least to greatest:

x < √5 < (2)1/2 < √7 < √11 < 3.5