please help me

find
[tex] \sin(2x + \frac{5\pi}{4} ) [/tex]
if
[tex] \tan(x) = \frac{2}{3} [/tex]


Answers

Answer 1

Answer:

-17√2 /26 or -0.9247 to the nearest ten thousandth.

Step-by-step explanation:

The hypotenuse of the right triangle in which tan x = 2/3 is √(2^2 + 3^2)

= √13 so sin x = 2/√13 and cos x = 3/√13

sin2x = 2sinxcos

= 2* 2/√13 * 3/√13

= 12/13.

cos2x = cos^2x - sin^2x

= 9/13 - 4/13

= 5/13.

sin(2x + 5π/4)

= sin2x cos5π/4 + cos2x sin5π/4

= 12/13 * -1/√2 + 5/13 * -1/√2

= -12 / 13√2  - 5 / 13√2

= -17/13√2

= -17√2 /26.


Related Questions

Hi can anyone do these for me please

i have to turn in the assignment please can anyone do it fast please

Answers

Answer:

awsten knight

Step-by-step explanation:

What is the solution?

Answers

Answer:

(1,-1)

Step-by-step explanation:

the solution is where the two lines meet up at and they meet up at (1,-1)

Help me with these questions, explaining it would be awesome!!

Answers

Answer:

i hope my answer help you:))

Step-by-step explanation:

{1st question}

b=3b-18=12

=3b=12+18

=3b=30 ( divided by 3)

then b=10

{2nd question}

d = -42-7d=49

=-7d=49+42

=-7d=91 ( divided by -7)

then d= -13

5-2*3^2


Also buzz cut for frisk

This one was rushed because I’m finishing with a quiz

Answers

Answer:

-13

Step-by-step explanation:

PEMDAS

5-2*3^2

5-2*9

5-18

answer: -13

The Bobcat baseball team has a total of 53 games this season. There are 9 games in the first month. After the first month, the team plays 11 games per month. Which equation can be used to find the number of months the season will last after the first month?

Answers

Answer:

The season will last 4 months after the first month (5 months in total)

Step-by-step explanation:

53 games

9 games first month

11 games per month (since the second one)

x - number of months

9 + 11x = 53

11x = 53-9

11x = 44

x = 4

Write a proportion to find how many points a student needs to score on
the test to get the given score.
1. test worth 50 points; test score of 84%

2. test worth 75 points; test score of 96%

Answers

Answer:  2

Step-by-step explanation:

I did it on a test!

CAN SOMEONE HELP QUICK PLEASE, JUST WITH THE FIRST

Answers

Answer:

1) 04.4750

Step-by-step explanation:

The most obvious reason would be that if you put in 3.58 x 1.25 into a calculator the answer u get is 4.4750.

If you want a more technical explanation though, you can say that the combined number of decimal places in the multiplicand and the multiplier is 4, so the product will also have 4 decimal places.

3.58 = two decimal places

1.24 = 2 decimal places

in total, they have 4 decimal places. for the product to have 4 decimal places too you'd count from right to left 4 places, and that's where you'd put the decimal. Hope this helps!

Which associations best describe the scatter plot?

Select each correct answer.


Positive association

Linear association

Negative association

Nonlinear association

Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Time, in years. The vertical axis is labeled Number infected. Points are plotted at (one, one hundred), (two, ninety), (three, seventy-five), (four, sixty), (five, forty-five), (six, twenty-five), (seven, fifteen), (eight, five), (nine, zero).

Answers

Answer: Here you go hope this helps

If a line is drawn through (twenty, seventy) and (twenty-five, sixty), then you can use the points in getting the equation.

Slope is = (60-70)/(25-20) = -2

Using the two-point slope form, y – y1 = m(x – x1)

               y – 70 = -2(x – 20)

               y – 70 = -2x + 40

               y = -2x + 110

Step-by-step explanation:

The associate that best describes the scatter plot is the Negative association.

What is an associate?

An associate in a scatter plot tells us the relation between the two variables. There are 4 types of associates:

Positive associate: If the value of one variable is increasing the value of another increase as well, but the relation is not linear.

Negative associate: If the value of one variable is decreasing with the value of another increasing as well, but the relation is not linear.

Linear Associate: If the value of one is dependent on the other such that they follow a function of line, and all the data points are on that function line or near to it.

Non-linear Associate: If the data points of the plot are scattered and random, such that there is no relationship between the points.

If we plot the graph of the data points we will see that the trend of the data is negative, therefore, the value of one variable is decreasing with an increase in the value of another.

Hence, the associate that best describes the scatter plot is the Negative association.

Learn more about Association:

https://brainly.com/question/2659237

Simplify
146/192
Helppppppp plssssssss thxxxxxx

Answers

Answer:

the ans is 73/96 how i got this ans is in the picture

(hope it helps can i plz have brinlist it will make my day :D hehe)

Step-by-step explanation:

Which ratio is not equivalent to the other three?
A. 6/15 B 18/45 C 12/25 D 2/5

Answers

Step-by-step explanation:

C that is 12/25.

others are × by 3

Answer:

12/25 (answer C)

Step-by-step explanation:

as each of the other choices equal to 2/5 after simplification

6/15 (divide 3) = 2/5

18/45 (divide 3) = 6/15 (divide 3) = 2/5

sian thinks of a number.
it's value is increased by 25%.

express the original number as a percentage of the increased number

will give brainliest

Answers

Answer:

80%

Step-by-step explanation:

original: 1

Increase 25%: 1.25  if this number becomes 1

1 : 1.25 = x : 1

x = 1 / 1.25 = 0.8   (80%)

check: 0.8 x 1.25 = 1

Don has an album that holds 700 photos . Each page of the album holds 7. If 33% of the album is empty, how many pages are filled with photos?

Answers

67 pages in the album book are covered with photos

La somme du double de x et de 14
donne 30.
x égale combient​

Answers

Answer:

x=36° (180/5x because 2x+3x)

Step-by-step explanation:

Please Help Me With This I'll Give Brainliest.
Suppose the equation of the axis of symmetry for a quadratic function is x = -1

and one of the x-intercepts is 7.

What is the other x-intercept?

Answers

Answer: -9

Step-by-step explanation:

7 is 8 units away or to the left of -1

count 8 units to the left of -1 which is -9

work out size of angle marked Y

Answers

Answer:

56 degrees

Step-by-step explanation:

a straight line is 180 degrees and the angle given is 124 degrees. you just want to subtract 124 from 180

180-124=56

Answer:

y = 56°

Step-by-step explanation:

y and 124 are adjacent angles and supplementary, sum to 180° , then

y + 124° = 180° ( subtract 124° from both sides )

y = 56°

What's the error? Explain.
Jamal said that the answer to the
following problem was x = 0
5(3x - 2) = 10x - 2 + 5x

Answers

Answer:

No solution.

Step-by-step explanation:

5(3x-2)=10x-2+5x

15x-10=10x+5x-2

15x-10=15x-2

15x-15x-10=-2

0-10=-2

-10=-2

no solution

Francisco forgot to pay the $50 water bill. The company charges you a 14% fine. How much does Francis have to pay including the fine?

Answers

$57

.14 x 50 = 7 , + the 50

hello my name jeff. i like pizza

Answers

Answer:

i love u jeff

Step-by-step explanation:

An arborist examined trees in an orchard to see if they were infected with a virus. Out kf 75 trees , 80% had the virus. How many trees were infected with the virus?

Answers

the answer should be is 60

Juanita has a 20% of the money that she needs to buy a new bicycle if she has a $52 how much money does the bicycle cost?

Answers

Answer:

Step-by-step explanation:

if Juanita has 52 dollars and this sum represents 20%

the bicycle costs 52*5=260 dollars

HAIRCUT Josiah went to the local
barber to get his hair cut. It cost
$18 for the haircut. Josiah tipped
the barber 15%. What was the total
cost of the haircut including the
tip?

Answers

The correct amount would be $20.70

A triangle has sides represented by 7, x, and x−1. If the perimeter is 28, find the length of the longest side.

Answers

Answer:

x (11 unit) is the longest side

Step-by-step explanation:

Given:

Sides;

7, x, and x−1

Perimeter = 28

Find:

Longest side

Computation:

Perimeter = sum of all sides

So,

7 + x + (x -1) = 28

2x + 6 = 28

x = 11

So,

x -1 = 11 - 1 = 10 unit

x (11 unit) is the longest side

find x=, if x-8=19 now!!!

Answers

Answer:

11

Step-by-step explanation:

ABCD is a parallelogram. solve for x
a) 21
b)20
c)10
d)5

Answers

Answer:

D)5

Step-by-step explanation:

We know that opposite sides of a parallelogram are both congruent and parallel. So, we use the equation 3x+5=6x-10

Simplifying this we get x=5

Answer:

X = 5

Step-by-step explanation:

[tex]6x - 10 = 3x + 5 \\ 3x = 15 \\ x = 5[/tex]

Use your calculator to find sin−1(0.62) to the nearest degree.

Answers

Answer:38

Steps: put calculator into degree mode and put sun-1 which is usually 2nd sin plug in and get answer

find the unknown side length x right here answer in simplest radical form
A.2√41
B.4√29
C.48
D.58​

Answers

Answer:

D .58

Step-by-step explanation:

i got it right on edg

Answer:

58!

Step-by-step explanation:

Can someone help me with this?

Answers

Answer:

ST=8.8

SR=15.5

Step-by-step explanation:

ST is the difference between S and T.

that would be 16.3-7.5=8.8

similarly RT is the difference between S and R

That would be 7.5-(-8)=15.5.

Answer:

ST = 8.8

SR = 15.5

Step-by-step explanation:

As the question demonstrates, they're looking for the measure of ST - which means the distance from S to T.

Now to get ST you'll have to subtract the values given on the number line.

T = 16.3

S = 7.5

16.3 - 7.5 = 8.8

ST = 8.8

Moving on with SR, we have the following. We use the same method of differentiation.

S = 7.5

R = -8

7.5 - (-8) = 15.5

SR = 15.5

Isaiah is working yo buy a new bicycle. He is wanting a HARO bike because he has dreams of being on the x-games. The bike he has his eye on is $719.99. He has saved his money up and already has $125 to go towards his bike. He is going to mow grass to make his money. He has decided he is going to charge $25 per yard. a.) Write an equation that mimics the given situation b.) How many yards will Isaiah have to mow in order to buy the bike? ​

Answers

Stage One: Autolysis

The first stage of human decomposition is called autolysis, or self-digestion, and begins immediately after death. As soon as blood circulation and respiration stop, the body has no way of getting oxygen or removing wastes. Excess carbon dioxide causes an acidic environment, causing membranes in cells to rupture. The membranes release enzymes that begin eating the cells from the inside out.

Rigor mortis causes muscle stiffening. Small blisters filled with nutrient-rich fluid begin appearing on internal organs and the skin’s surface. The body will appear to have a sheen due to ruptured blisters, and the skin’s top layer will begin to loosen.

Stage Two: Bloat

Leaked enzymes from the first stage begin producing many gases. The sulfur-containing compounds that the bacteria release also cause skin discoloration. Due to the gases, the human body can double in size. In addition, insect activity can be present.

The microorganisms and bacteria produce extremely unpleasant odors called putrefaction. These odors often alert others that a person has died, and can linger long after a body has been removed.

Stage Three: Active Decay

Fluids released through orifices indicate the beginning of active decay. Organs, muscles, and skin become liquefied. When all of the body’s soft tissue decomposes, hair, bones, cartilage, and other byproducts of decay remain. The cadaver loses the most mass during this stage.

Stage Four: Skeletonization

Because the skeleton has a decomposition rate based on the loss of organic (collagen) and inorganic components, there is no set timeframe when skeletonization occurs.

A bicycle has a listed price of $551.99 before tax. If the sales tax rate is 9.25% , find the total cost of the bicycle with sales tax included.

Answers

Answer:

$603.05

Step-by-step explanation:

551.99x9.25%=51.06

551.99+51.06=603.05

Solve each triangle round to answers to the nearest tenth

Answers

answer: i added them and i think it’s 60 but i’m not sure
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