What is the value of x? sin(x+37)°=cos(2x+8)° Enter your answer in the box. x =

Answers

Answer 1

The answer is x = 15.

Answer 2

15 or 20.33 are the possible values of the x.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

We know that sin(x+37)°=cos(90°-(x+37)°) and cos(2x+8)°=sin(90°-(2x+8)°)

So we have sin(x+37)°=cos(2x+8)° becomes sin(x+37)°=sin(82°-2x)

For the above equation to be true, either of the following must hold:

x+37 = 82 - 2x (since the sin function is periodic)

x+37 = 180 - (82-2x)

Solving the first equation for x gives:

3x = 45

x = 15

Solving the second equation for x gives:

3x = 61

x = 20.33 (rounded to two decimal places)

Therefore, the possible values of x are 15 or 20.33 (rounded to two decimal places).

Learn more about algebraic Expression here:

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Related Questions

Find the area of the triangle shown above

Answers

Answer:

the area is 32 square inches

Step-by-step explanation:

you multiply both sides that have 9 because they are equal and then you add the 14 on

Answer:

63 Inches

Step-by-step explanation:

The formula for finding the area of a triangle is:

(b*h)/2

First, let's plug in the values.

(14*9)/2

Simplify...

126/2

Divide the two which gives us:

63

Therefore, the answer is:

63 Inches.

Hope this helps!

Which axis is the shape being reflected across? (Which axis is th
mirror?)
1c
8
1
45
A
yaxe

Answers

Answer:

report the question with the link

Step-by-step explanation:

it takes you to a human trafficing website report it ill do it too

Find the area of the largest square contained by a circle of radius r = 1cm. Explain your answer and justify that it is correct. Hint: Use the pythagorean theorem.

Answers

Answer:

2 square cm

Step-by-step explanation:

Given :

A square is inscribed in a circle whose radius is r = 1 cm

Therefore, the diameter of the circle is 2 r = 2 x 1

                                                                      = 2 cm.

So the diagonal of the square is 2r.

Using the Pythagoras theorem, we find each of the side of the triangle is [tex]$r \sqrt 2$[/tex].

Therefore, the area of the square is given by [tex]$\text{(side)}^2$[/tex]

                                                                         = [tex]$(r\sqrt 2)^2$[/tex]

                                                                         [tex]$= 2 r^2$[/tex]

                                                                         [tex]$= 2 (1)^2$[/tex]

                                                                         [tex]$=2 \ cm^2$[/tex]

Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.

You need at least $48,000 in two years. If you earn 4.8% compounded annually, how much principle do you need to invest?

Answers

Answer:

488305

Step-by-step explanation:

100 plus 4.8 percent then add 4.8 percent gets you 109.83

then apply 9.83 percent to random numbers in a calculator

what is the range of life expectancy chart below

the numbers are 74 76 78 80 82 in that exact order

Answers

Answer:

74 76 78 80 82

Step-by-step explanation:

THE IMAGE IT BLURRY!

What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters
and a base diameter of 16 centimeters? Round to the nearest tenths place

Answers

Answer:

1608.5

Step-by-step explanation:

I just did a question that was like this

Beth purchased her car for $18,400. Three years later the car was worth $15,200. Find the percent change in the value of her car.​

Answers

Answer:

17.39%.

Step-by-step explanation:

As a percentage (rounded to two decimal places):

A decrease of 17.39%.

HURRY PLEASE I DONT WANT TO FAIL

Answers

Answer: 62

Step-by-step explanation: In the red empty spot, the #5 would go there and in the blue spot the #6 would go there. 8x2=16 and 16+16= 32: t=This is for the to rectangle shapes on both sides. Now for the square in the middle, since the red spot is 5 and the blue is 6, 5x6= 30. So, 30+32=62.

62 your answer ^ your welcome

Find the value of x.​

Answers

Answer:

1

Step-by-step explanation:

the correct answer would be 1

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

1st one is a function, 2nd is a funtion, 3rd is a function, 4th is not a function, 5th is not a function, 6 is a function

Step-by-step explanation:

Hope it helps :) You can see if a graph is a function by performing the vertical line test.

iykutjrhgyjukftrjrhter

Answers

Answer:

c

Step-by-step explanation:

Im not the best at that hope it helped tho

What does x equal to?

Answers

Answer:

x = 25°

Step-by-step explanation:

the angle adjacent to the 130 angle is 50 degrees

x = 180-(105+50)

x = 180-155

x = 25

A cylinder has a diameter of 12 centimeters and a height of 7 centimeters. Which formula below could be used to determine the lateral surface area of the cylinder?

S = (12),(7)
S = 2π ,, times,,,6,, times,,,7

S = 2π ,, times,,,12,, times,,,7

S = (2π ,, times,,,6,, times,,,7) + (2π ,, times,,,6

Answers

Answer:

S = 2π,, times,,,6,, times,,,7

s s s s s s s s s s s s s s s s s s s ss s s s s s s s s s ss s s s s s s s s s s s s ss s s please help‼️‼️

Answers

Answer: Point W is the answer.

Step-by-step explanation:

Answer:

the answer is w

Step-by-step explanation:

x is 2

y is -5.5

4х² – 2(x² — 3х+2)
combine like terms to write a polynomial in standard form.​

Answers

Step-by-step explanation:

[tex]4 {x}^{2} - 2( {x}^{2} - 3x + 2) \\ = 4 {x}^{2} - 2 {x}^{2} + 6x - 4 \\ = 2 {x}^{2} + 6x - 4 = \\ {x}^{2} + 3x - 2[/tex]

To the nearest cm, what is the circumference? EZ POINTS

Answers

Answer:

95.2

Step-by-step explanation:

C=pi*d

C=3.14*30

C=95.2

Answer:

95.2 :)

Step-by-step explanation:

PLEASE HELP ASAP HELPPPPP PLEASEEE!!!! find the value of x. round to the nearest tenth
x
12
4
x =?

Answers

Answer:

70.5

Step-by-step explanation:

cos x = [tex]\frac{4}{12}[/tex]

x = [tex]cos^{-1}\frac{1}{3}[/tex]

x = 70.53

75250 tickets were available for an international cricket match. 62% of the tickets were sold
within a day. How many tickets are left?​

Answers

Answer:

46655

Step-by-step explanation:

[tex]75250 \cdot \frac{62}{100} = 46655[/tex]

Need help with 2 and 4!

Answers

Answer:

Step-by-step explanation:

A dilation is when you have an original shape and them it shrinks/grows. One, three, and four are all dilations. They all have an original and then from what i see they grow. Two is not a dilation.

Please help with number 6 and 7. Real answers please!! Help me soon as posible.

Answers

Answer:

b

Step-by-step explanation:

jehdgdhdeoejejrbdnsnskd

pls dont put links or I'll report ty​

Answers

x < 9

_

Step-by-step explanation:

I am not sure if this is correct. but i think the answer is x with closed circle so that will mean underlined.

What is the length of bc in the right triangle below 9 12

Answers

Answer:

15

Step-by-step explanation:

hope it helps you.that was what I could think about.if am wrong please tell me.good day.

khan academy - 6th grade advanced

Answers

Answer:

its b

Step-by-step explanation:

The drama department was considering two options for the winter production. They used the following equations to represent the profit, y, they
would make from the sale of tickets, x, minus the costs.
Option A: y= 5x - 1500
Option B: y = 3x - 500
Which graph correctly shows the point after which Option A becomes more profitable than Option B?

Answers

Answer:

Graph D is correct

Step-by-step explanation:

This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.

Un distribuidor debe repartir 879 botellas de cerveza entre 3 bares. Si el pedido del bar A es la mitad que el del bar B y la cuarta parte del bar C. ¿Cuántas botellas le tocan a cada bar?

Answers

Answer:

Total number of bottles Bar A get = 126

Total number of bottles Bar B get = 251

Total number of bottles Bar C get = 502

Step-by-step explanation:

Given - A distributor must distribute 879 bottles of beer among 3 bars. If the order of bar A is half that of bar B and a quarter of bar C.

To find - How many bottles do each bar get?

Proof -

Let us assume that

Total number of bottles Bar A get = x

Total number of bottles Bar B get = y

Total number of bottles Bar C get = z

Now,

Given that

Total bottles distributed = 879

⇒x + y + z = 879                  ..............(1)

Now,

Given that, the order of bar A is half that of bar B and a quarter of bar C

⇒x = [tex]\frac{1}{2}y[/tex] , x = [tex]\frac{1}{4} z[/tex]

⇒y = 2x                          .............(2)

  z = 4x                          ..............(3)

Now,

Put the values of y and z in equation (1), we get

x + 2x + 4x = 879

⇒7x = 879

⇒x = [tex]\frac{879}{7}[/tex] = 125.57

⇒y = 2(125.57) = 251.14

⇒z = 4(125.57) = 502.28

∴ we get

Total number of bottles Bar A get = x = 125.57 ≈ 126

Total number of bottles Bar B get = y = 251.14 ≈ 251

Total number of bottles Bar C get = z = 502.28  ≈ 502

Danielle has to walk 2 miles to reach a hidden temple. She has walked 1 1/4 miles, how many more miles does Danielle need to walk to reach the hidden temple.

Answers

Answer:

[tex]\dfrac{3}{4}\ miles[/tex]

Step-by-step explanation:

Total distance to a temple = 2 miles

She has walked 1 1/4 miles or 5/4 miles

More miles to reach the hidden temple = total distance - walked distance

[tex]=2-\dfrac{5}{4}\\\\=\dfrac{8-5}{4}\\\\=\dfrac{3}{4}[/tex]

So, she has to travel [tex]\dfrac{3}{4}[/tex] miles to reach the hidden temple.

What is the slope of the line?

Answers

Answer:

2

Step-by-step explanation:

To find slope just compare two points on a graph then put them into a fraction like so y₁ - y₂/x₁ - x₂

The drone in the Example hovers at 16 meters for a few minutes before being
lowered at a constant rate. It reaches the ground after 6 seconds.
a. Why can the drone's descent be modeled by a linear function?

Answers

The drone's descent can be modeled by a linear function as the rate of descent is constant.

How to define the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.

For this problem, we have that the drone descended 16 meters in 6 seconds, hence the slope m is given as follows:

m = -16/6 = 2.67 m/s.

As the slope is constant, a linear function can model the situation.

More can be learned about linear functions at https://brainly.com/question/24808124

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In the equation, y = mx + b, what does the "b" represent? *

Answers

where m is the slope of the line and b is the y-intercept. Hope that helps
The B in y=mx+b represents the Y-intercept

NO FILES I WILL MARK YOU IF RIGHT I ASKED THIS FIVE TIMES ALL I GET IS SCAM FILES!!!!!!!!!!!!! PLZZZZZZ HELP
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $6500 to rent trucks plus an additional fee of 175.25 for each ton of sugar. The second company charges $5696 to rent trucks plus an additional fee of 225.50 for each ton of sugar.
For what amount of sugar do the two companies charge the same?
What is the cost when the two companies charge the same?

Answers

Answer:

14 tons

$3,860.50

Step-by-step explanation:

Let x = the amount of sugar transported.

First company:

The cost is $3157 truck rental plus $50.25 per ton of sugar.

Total cost = 3157 + 50.25x dollars

Second company:

There is no charge for truck rental, but it costs $275.75 per ton of sugar.

The total cost is

275.75x

When the two costs are the same, then

275.75x = 3157 +50.25x

225.5x = 3157

x = 14 tons

The total cost is 275.75*14 = $3,860.50

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