In a right triangle, sin (3x+5)^\circ(3x+5) = cos (8x+9)^\circ(8x+9) Solve for x. Round your answer to the nearest hundredth if necessary.

Answers

Answer 1

Right triangles are triangles with a measure of 90 degrees

The value of x is 76/11

How to calculate x in the triangle

The equation is given as:

sin (3x+5) = cos (8x+9)

To solve for x, we make use of the following theorem

If sin(A) = cos(B), then

A + b = 90

So, we have:

3x + 5 + 8x + 9 = 90

Collect like terms

3x + 8x = 90 - 5 - 9

Evaluate the like terms

11x = 76

Divide both sides by 11

x = 76/11

Hence, the value of x is 76/11

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Related Questions

The area of this polygon is 228 square meters
What is the length of the side labeled with a question mark
Enter your answer in the box

Answers

Answer: 7

Step-by-step explanation:

Let the unknown length be x

Cut the polygon into 2 pieces

6 * 24 + x * (18 - 6) = 228

144 + 12x = 228

12x = 84

x = 7

The length of the side labeled with a question mark in the given polygon is 7 meters.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, the area of this polygon is 228 square meters.

We know that, the area of a rectangle is Length×Breadth

Area of a large rectangle = 24×6

= 144 square meters

Let the length of unknown side be x.

Area of a small rectangle = 12×x

Total area = Area of a large rectangle+Area of a small rectangle

228=144+12x

12x=228-144

12x=84

x=84/12

x=7 meters

Therefore, the length of the side labeled with a question mark is 7 meters.

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Line m passes through points (10, 4) and (1, 6). Line n passes through points (1, 11) and (10, 9). Are line m and line n parallel or perpendicular

Answers

Answer:

Parallel

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

Please help I will mark brainliest

Answers

Answer:

Hey dude! Im not sure how to figure out the angle on my own so try using math-way algebra it works most of the time!

sorry i cant help any more!

X= 106.6 degrees

Formula: a^2=b^2+c^2-2bcCosx
a=5.3
b=5.3
c=8.5

Select the equivalent expression.

Answers

Answer:

c

Step-by-step explanation:

the exponent 5 is multiplied by 4 then the other exponent 2 is also  multiplied by 4

Answer:

C

Step-by-step explanation:

using the rule of exponents

[tex](a^{m})^n[/tex] = [tex]a^{mn}[/tex]

[tex](\frac{2^{5} }{x^2})^4[/tex]

= [tex]\frac{2^{5(4)} }{x^{2(4)} }[/tex]

= [tex]\frac{2^{20} }{x^{8} }[/tex] → C

A carpenter has wood that is 5x+2 feet long. How long is the wood after 2x-5 feet have been cut off. (type in your solution so i can learn from it thanks)

Answers

5x+2 - (2x - 5)

= 5x + 2 - 2x + 5

= 3x + 7

I am pretty sure that it is 3x+7

Solve for x and y.


You will have to show your work to get brainliest!

Answers

Answer:

For ∆1 , x = 20 , y = 10√2

For ∆2 , x = y = 11

Step-by-step explanation:

Here in the first right angled triangle one of the angles is 45°. And one of the known side is 20 . We need to find out the value of x and y.

Since two angles are 90° and 45° , therefore the third angle will be 45° . And as we know that the sides opposite to equal angles are equal. Therefore ,

[tex]\rm\longrightarrow \underline{\underline{ x =20}}[/tex]

Again , we use ratio of sine to find y , as ,

[tex]\rm\longrightarrow sin45^o =\dfrac{p}{b}\\ [/tex]

[tex]\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{20}{y}\\ [/tex]

[tex]\rm\longrightarrow y =\dfrac{20}{\sqrt2}=\dfrac{2\times 10}{\sqrt2}\\ [/tex]

[tex]\rm\longrightarrow \underline{\underline{ y = 10\sqrt2}} [/tex]

[tex]\qquad\rule{200}2[/tex]

Again , in the second Triangle , we may use ratio of sine to find the value of y , as ;

[tex]\rm\longrightarrow sin45^o =\dfrac{p}{b}\\ [/tex]

[tex]\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{y}{11\sqrt2}\\ [/tex]

[tex]\rm\longrightarrow y =\dfrac{11\sqrt2}{\sqrt2}\\ [/tex]

[tex]\rm\longrightarrow \underline{\underline{ y = 11}} [/tex]

Again , we know that the sides opposite to equal angles are equal . Therefore here ,

[tex]\rm\longrightarrow \underline{\underline{ x =11}}[/tex]

2) Look at the sequence below. List the next three terms of the sequence. 4, 8, 16, 32,...​

Answers

Answer:

64, 128, 256

Step-by-step explanation:

Answer: 4, 8, 16, 32, 64, 128, 256

The other 3 terms of the sequence are 64, 128, 256, which means that the full sequence is 4, 8, 16, 32, 64, 128, 256. Each number was multiplied by 2. 4 * 2 = 8. 8 * 2 = 16. 16 * 2 = 32, etc...

Step-by-step explanation:

Hope this helps.

solve this on a piece of paper so it can be great to understand thankyou.

8x+4y=8 and 2x+y=4


Answers

Answer:

1. x = -1/2y + 1

y = 2x + 2

2. x = -1/2y + 2

y = 2x + 4

Um cant figure out the second question

Answers

Answer:

  £15

Step-by-step explanation:

There are 3 ways to get 7 out of the 12 possible outcomes, so the probability a player will win 30p is 1/4. That is a player will have expected winnings of (1/4)(30p) = 7.5p each time the game is played.

The school gains 20p from each player, but has an expected payout to the player of 7.5p, so the net gain per game to the school is ...

  20p -7.5p = 12.5p

The gain to the school when 120 people play is ...

  (120)(12.5p) = 1500p = £15 . . . . expected to be raised

pleas help it is in the screenshot

Answers

Answer:

10) 8.4

11) 25.6

Step-by-step explanation:

10)

[tex]\cfrac{7}{10}=\cfrac{x}{12}[/tex]

[tex]x=12\times \cfrac{7}{10}[/tex]

[tex]=8.4[/tex]

11)[tex]\cfrac{8}{5} =\cfrac{x}{16}[/tex]

[tex]5\times x=8\times 16[/tex]

[tex]\cfrac{5x}{5} =\cfrac{128}{5}[/tex]

[tex]x=25.6[/tex]

Hope it helps! :)

Jenny works at Publix where she makes $10 an hour. she works 5 hour ships 6 days a week . Create an expression that shows how much money jenny makes in 3 weeks

Answers

Answer:

(10)(5)(18)

Step-by-step explanation:

10= $/hr

5 = shifts

18 = number of days

Answer:

Step-by-step explanation:

$10/hr x 5 hrs x 6 days x 3 wks

10 x 5 = 50

50 x 6 = 300

300 x 3 = 900

She earns $900 in 3 wks.

)) A cylinder has a height of 9 meters and a diameter of 34 meters. What is its volume?
Use a = 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

Volume of a sphere is (pi)*(r^2)*(h), where r is raduis, h is height, and pi is 3.14.

Diameter is 24/2 = 12

We just need to plug everything in.

(3.14)*(12^2)*(14) = 6330.24

I hope this helped. :)))

=^._.^=

Solve for y
2(y + 2) = 62(y+2)=6

Answers

Answer:

y=-8

Step-by-step explanation:

2y+4=62y+124=6

2y-62y=124-4=6

-60y=120=6

divide both side by -60

y=120/-60=6

y=-2=6

y=-2-6

y=-8

PLSSS ANSWER ITS FOR A TIMES TEST.......Lee's bank balances at the end of months 1, 2, and 3 are $1600, $1640, and $1681.
What will Lee's balance be at the end of month 5?

Answers

The answer would be $1766. From month 1-2 he gained 40 dollars. From month 2-3 he gained 41 dollars. So assuming his balance goes up another dollar each month you would add $42 and then ad $43. Which would add up to $1766.

Segment EF is tangent to Circle H at Point F and Segment EG is tangent to Circle H at Point G. Determine the value of the variable and the length of Segment EF.​

Answers

Bro they didn’t even teach me this in middle school I I can help you maybe try asking someone for help

Use the graph of speed versus time to answer the questions about acceleration.



Which of the cars is speeding up? ______



Which of the cars is slowing down? ______



Which of the cars is maintaining a constant speed? ______

Answers

The car that is speeding up is car A.

The car that is slowing down is car C.

The car that is maintaining a constant speed is car B.

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

From the graph, we see that,

Car A speed is increasing with time.

Car B is maintaining a constant speed with time.

Car C is decreasing its speed with time.

Thus,

Car A is speeding up.

Car C is slowing down

Car B is maintaining a constant speed.

Learn more about speed here:

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Answer:

Step-by-step explanation:

Beth has 380 pages left to read in her literature book. She has decided to read 40 pages every three days. What is the slope of the
line that represents this function?

Answers

Answer:

slope = 1/-13

Step-by-step explanation:

2x² + 3 = 39 extracring square roots

Answers

Answer:

x=9

Step-by-step explanation:

first, subtract 3 from both sides so 2x^2=36, then, divide both sides by 2 so x^2=18 and divide 18 by 2 and 9^2=18

Answer:

x = ± 3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

2x² + 3 = 39 ( subtract 3 from both sides )

2x² = 36 ( divide both sides by 2 )

x² = 18 ( take square root of both sides )

x = ± [tex]\sqrt{18}[/tex] = ± [tex]\sqrt{9(2)}[/tex] = ± ( [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] ) = ± 3[tex]\sqrt{2}[/tex]

.
What is the name of the perimeter of a circle?
Length
Circumference
Perimeter
Width

Answers

Answer: circumference

Step-by-step explanation: you’re welcome

Answer:

circumference because it

6x - ? = x
whats the answer

Answers

Answer:

5x

Step-by-step explanation:

6x - ? = x

? = 6x - x

? = 5x

Hope it helps ⚜

[tex]6x - ? = x\\-?=x - 6x\\-?=-5x\\\Longrightarrow \: \: ?=5x[/tex]

[tex]\heartsuit \: \sf\: Jenkai \: \bigstar[/tex]

Diane flipped a coin 600 times and it landed heads up 240 times. What is the relative frequency of the coin landing heads up based on the results of this experiment?

4%
6%
40%
60%

Answers

Answer:

40%

Step-by-step explanation:

Flips 600 times, that's the total flips. ###/600

Heads flipped 240 times, and that's what you're looking for. 240/600

240/600 simplified is 2/5 (0.4)

You're looking for a frequency/percentage so you're looking at the decimal

Decimal number = Percentage

So it'll be 40%

1. The table shows the prices of 3 boxes of laundry detergent of different sizes. Which size box costs the least per ounce? Explain your answer. Size Price 150 OZ 100 oz $18.97 $11.97 $8.97 56 OZ​

Answers

The table is an illustration of unit rates

Box 2 has the least price per ounce

How to determine the least per ounce

The given parameters are:

Box 1 = $18.97 per 150 Oz

Box 2 = $11.97 per 100 Oz

Box 3 = $8.97 per 56 Oz

Divide the price by the sizes, to get the rates

[tex]Box 1 = \frac{18.97}{150} =0.126}[/tex]

[tex]Box 2 = \frac{11.97}{100} =0.1197}[/tex]

[tex]Box 3 = \frac{8.97}{56} =0.160[/tex]

By comparison, 0.1197 is the least

Hence, box 2 has the least price per ounce

Read more about unit rates at:

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Plz help! Due tonight!
Recycled​ CDs, Incorporated, offers a choice of 5 used CDs for ​$20​, with each additional CD costing ​$6. Write a cost function for purchasing 5 or more CDs. What will the cost of buying 9 CDs​ be? Let x represent the number of CDs over 5.

Answers

the answer will be

48$ dollars

Answer:

20 + 6x

$44

Step-by-step explanation:

So 5 CD's for 20 dollars is $4 ea. then each one added will be +6 with the variable (x).

so you can't have the first 5 becuase x is used for every one OVER 5.

So

$ or price = 20 + 6x

plug 4 in because 9-5 = 4

20 + 6(4)

20 + 24

$44

Please need the answer

Answers

Answer:

A. True

B. True

C. False

Step-by-step explanation:

Hope that helps!

in the calendar analogy, what month did Eukaryotes appear? A. may B. february C. July D. December

Answers

Answer:

B. February

Step-by-step explanation:

I just took a test on this, and the answer was February. Hope this helped and wasn't too late.

What does it mean to say a polynomial is in factored form.

Answers

b

Step-by-step explanation:

Which data set does the box-and-whisker plot represent?

Answers

Answer:

2nd choice

Step-by-step explanation:

Help please!!! I really don’t know how to do this!

Answers

Answer:

I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.

Step-by-step explanation:

We are given the points (-2, -4) and (-1, -1)

We need to find the slope.

The equation to do so is y2 - y1 / x2 - x1

lest say:

-2 is x1

-4 is y1

-1 is x2

-1 is y2

-1 - (-4) / -1 - (-2)

3/1 = 3

slope (m) = 3

We already know the y-intercept is 2

The equation of a line is y = mx + b

For this problem we just have to substitute what we already know.

y = (slope)x + y-intercept

y = 3x + 2

*TIP*

If the y-intercept is negative, let's say: b = -5  (using slope 8)

the equation will be y = 8x - 5

Hope this helps. I wish you all the best. :)


Please help me with the math

Answers

40, 12
20, 8
0.5, 4.1
hope this helps!!

Enter answer as a decimal ex: 42.53

Answers

21 rounded to the nearest hundredth is 21.00!

Answer:

The probability of pulling a green marble is 0.58 (58%).

Step-by-step explanation:

Total marbles: 36

Purple marbles: 15Green marbles: 21

[tex]\frac{21}{36} = 0.58[/tex]

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