Solve for x. Round to the nearest tenth of a degree, if necessary.

Solve For X. Round To The Nearest Tenth Of A Degree, If Necessary.

Answers

Answer 1

From one of the trigonometric ratios, tan(x), it is possible to find that x is equal to 52.1°.

Trigonometric Ratios

The main trigonometric ratios for a right triangle are presented below.

                [tex]sin(x)= \frac{opposite\; side}{hypotenuse} \\ \\ cos(x)= \frac{adjacent\; side}{hypotenuse} \\ \\tan(x)= \frac{sin(x)}{cos(x)} =\frac{opposite\; side}{hypotenuse}* \frac{adjacent\; side}{hypotenuse}=\frac{opposite\; side}{adjacent\; side}[/tex]

For solving this question, you need to apply the a trigonometric ratio . You have the dimensions of two sides and you need to find the angle x.

Thus, you can apply the tan(x).

                       [tex]tan(x)= \frac{opposite\; side}{adjacent\; side}=\frac{36}{28} =\frac{9}{7}[/tex]

After that, you should calculate the arctan(x).

                         

                           [tex]arctan\left(\frac{9}{7}\right)=52.1^{\circ \:}[/tex]

Then x= 52.1°

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Related Questions

An angle measures 16.4° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

Step-by-step explanation:

Let one angle = A

Let the other angle = B

A + B = 180

A = B - 16.4                   Substitute for A in the top equation

B - 16.4 + B = 180         Combine the left

2B - 16.4 = 180             Add 16.4 to both sides

2B = 180 + 16.4

2B = 196.4                    Divide by 2

B = 196.4/2

B = 98.2

A = B - 16.4

A = 98.2 - 16.4

A = 81.8

(d) X(-12) = 132
help me with equations ​

Answers

[tex]\large\bold{\underline{\underline{ x=-11}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]x \: ( - 12 )= 132[/tex]

[tex]↬ \: x = \frac{132}{ - 12} [/tex]

[tex]↬x = - 11[/tex]

Therefore, the value of [tex]x[/tex] is [tex]\boxed{ -11 }[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]x \: ( - 12) = 132[/tex]

[tex]➺ \: - 11 \: ( - 12) = 132[/tex]

[tex]➺ \: 132 = 132[/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

Step-by-step explanation:

x(-12) =  132

To find the value of 'x' , divide  both sides of the equation by (-12)

[tex]\frac{x*(-12)}{(-12)}=\frac{132}{-12}\\\\\\x = -11[/tex]

Someone help me asap

Answers

Answer:

A

Step-by-step explanation:

There are 270 minutes in 4.5 hrs.

divide that by 45, you get 6.

50*3^6 is 36,450

A balloon is going vertically upwards at a speed of 10 ms-1 . When it was 30 m above the ground, an object is dropped from it. How long does the object take to reach the ground? (g = 10 ms-1 )​

Answers

Answer:

t ≈ 3.65 s

Step-by-step explanation:

Let the distance the object travels after leaving the balloon be x.

Using Newton's equation of motion, we have;

s = ut + ½gt²

We are given;

s = 30 m

u = -10 m/s (negative because it is an upward motion)

Thus;

30 = -10t + ½(10)t²

30 = -10t + 5t²

5t² - 10t - 30 = 0

Using quadratic formula, we have;

t ≈ 3.65 s

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

x = 2.1

Step-by-step explanation:

We have:

[tex]\frac{x}{sin90}[/tex] = [tex]\frac{1.3}{sin38}[/tex]

=> sin38 × x = sin90 × 1.3

=> x = 1.3 ÷ sin38

=> x = 2.11155001... = 2.1

<3 Have a nice day!!

The value of x for the given triangle will be, x = 2.1.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is used to solve problems involving angles and distances and is applied in a wide range of fields such as engineering, physics, architecture, and navigation, among others.

The value of x will be calculated as,

x / sin(90) = 1.3/ sin(38)

sin38 × x = sin90 × 1.3

x = 1.3 ÷ sin38

x = 2.11155001...

x = 2.1

The value of x will bed x =2.1.

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What are the coordinates of the terminal point for 0 = 4pi/3

Answers

Answer:

I hope this helps. There is a link

b

So what is that distance well we know that to get to negative 4 pi over 3 we took negative pi and travelled pi over 3.. So this is just pi over 3.. So our reference angle would be pi over 3.

Step-by-step explanation:

What set of transformations are applied to parallelogram ABCD to create A'B'C'D'?


Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at negative 2, 1. Second parallelogram transformed formed by ordered pairs A prime at negative 4, negative 1, B prime at negative 3, negative 2, C prime at negative 1, negative 2, D prime at negative 2, negative 1.


Reflected over the x-axis and rotated 180°


Reflected over the y-axis and rotated 180°


Reflected over the x-axis and rotated 90° counterclockwise


Reflected over the y-axis and rotated 9

Answers

Answer:

Reflected over the x-axis and rotated 90° counterclockwise

Step-by-step explanation:

Answer:

Reflected over the x‒axis and reflected over the y-axis

Step-by-step explanation: pls mark me as brainly

solve the following simultaneous linear equations by the substitution method.
3x + 4y = 1
2x + 3y = 1​

Answers

[tex]\displaystyle\bf \left \{ {{3x+4y=1} \atop {2x+3y=1}} \right. => \left \{ {{x=\frac{1-4y}{3} } \atop {2x+3y=1}} \right. => \\\\\\2\cdot\frac{1-4y}{3} +3y=1\: |\times3\\\\2-8y+9y=3\\\\y+2=3\\\\y=1 \;;\:x=(1-4y):3=-1\\\\\\Answer: (-1;1)[/tex]

Which integers could you add to −18 to get a sum that is greater than 5?

Answers

Answer:

23

Step-by-step explanation:

-18+(18+5) = 5,

so adding any integer that is greater than (18+5)=23 will give a sum that is greater than 5.

Answered by GAUTHMATH

If (1/2)^n = 32, then what is n?

Answers

Answer:

2.32*10^-10

Step-by-step explanation:

n will change its position with 32

(1/2)^32=n

n=2.32*10^-10

Log problem below in the picture

Answers

Your answer is 2.98004491789381.

Find the value of f(3) given f(x) = − 5x + 2​

Answers

Answer:

- 13

Step-by-step explanation:

Plug 3 in for x:

-5(3)+2

Simplify :

-15+2

=-13

Answer:

-13

Step-by-step explanation:

f(x) = -5x + 2

f(3) = -5(3) + 2

f(3) = -15 + 2

f(3) = -13

What is the true solution to the logarithmic equation below?

log Subscript 4 Baseline left-bracket log Subscript 4 Baseline (2 x) right-bracket = 1

Answers

Answer:

x = 2

Step-by-step explanation:

Given:

log ₄ (2x) = 1

Solving for x:

2x = 4¹2x = 4x = 2

Answer:

128 on edg

Step-by-step explanation:

i thought it was 2 aswell double checked it on a graphing calculator its 128

A condition statement is logically equivalent to a biconditional statement. true or false​

Answers

Answer:

true

Step-by-step explanation:

Because a logically equivalent is the same as biconditional statement

Step-by-step explanation:

hello the answer is true, you can check but it's obviously true

What're solutions for X^+4x-9=5x+3

Answers

Answer:

GUCCI GANG

Step-by-step explanation:

GUCCI GUCCCIII GAAAANNNGGGG

Answer:

x=-3 and x=4

Step-by-step explanation:

I assume you mean x^2 in the first part,

x^2 + 4x -9 = 5x +3

x^2 -x -12 =0

x          -4

x          +3

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

(x-4)(x+3) = x^2 -x -12 = 0

that gives us

x=4 and x=-3 are solutions

Find the TWO integers whos product is -12 and whose sum is 1

Answers

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3

Let integers be x and x-1

ATQ

x+x-1=1

[tex]\\ \sf\longmapsto 2x-1=1[/tex]

[tex]\\ \sf\longmapsto 2x=1+1[/tex]

[tex]\\ \sf\longmapsto 2x+2[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]

[tex]\\ \sf\longmapsto x=1[/tex]

Now

[tex]\\ \sf\longmapsto x-1=1-1=0[/tex]

The integers are 1 and 0

But

Integers can be x and 1-x as their sum is 1

[tex]\\ \sf\longmapsto x(1-x)=-12[/tex]

[tex]\\ \sf\longmapsto x- x^2=-12[/tex]

[tex]\\ \sf\longmapsto x^2-x-12=0[/tex]

[tex]\\ \sf\longmapsto x^2-4x+3x-12=0[/tex]

[tex]\\ \sf\longmapsto x(x-4)+3(x-4)=0[/tex]

[tex]\\ \sf\longmapsto (x-4)(x+3)=0[/tex]

[tex]\\ \sf\longmapsto x=4,-3[/tex]

Can someone help me with this

Answers

Answer:

a = 17

c = 9

Step-by-step explanation:

2a + 3c = 61

3a + 5c = 96

3a = 96 - 5c   (solve for 'a'. Then you can substitute)  

a = 32 - [tex]\frac{5}{3}[/tex] c

2(32 - [tex]\frac{5}{3}[/tex]c) + 3c = 61     (Substitute)

64 - [tex]\frac{10}{3}[/tex]c + 3c = 61        ([tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]. So subtracting, adding a negative, leaves [tex]\frac{-1}{3}[/tex])

-[tex]\frac{1}{3}[/tex] c= -3  

c = 9

2a + 3(9) = 61

2a + 27 = 61

2a = 34

a = 17

Guys I need help!!!

Is (1, 4) a solution to the equation y = 8x − 4?

Answers

Answer:

Yes

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Functions

Step-by-step explanation:

Step 1: Define

Identify

Point (1, 4)

y = 8x - 4

Step 2: Find

Substitute in point [Equation]:                                                                          4 = 8(1) - 4Multiply:                                                                                                             4 = 8 - 4Subtract:                                                                                                            4 = 4

yes.

you just have to check like this: 1 is x and 4 is y.

4 = 8(1) - 4

4 = 8 - 4

4 = 4

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

A menu at a local diner has 12 appetizers, 8 entrees, and 4 choice of desserts. How many different meal combinations are possible when you select one appetizer, one entrée, and one dessert from the menu?

Answers

Answer:

12* 8 * 4 = 384

Step-by-step explanation:

Does anybody know the answer to this ?

Answers

Answer:

A

Step-by-step explanation:

C is the answer I believe.

Fifty seven thousand nine hundred and eight

Answers

Answer:

Fifty seven thousand nine hundred and eight

57908

The answer is 57908 ….

Covert 1.18 into a fraction

Answers

1 18/100
1 9/50 is the answer

Answer:

13/11

Step-by-step explanation:

| would assume you mean 1.18 recurring, because 1.18 as a fraction is 59/50.

To work out 1.18 recurring, first we ignore the 1.0 and focus on 0.18 recurring.

If x = 0.18 recurring

  100x = 18.18 recurring

  99x = 18

  x = 18/99

     = 2/11

Now, we add on the 1.0 (11/11) to get 13/11

Al sumar y/o restar números decimales, siempre se debe aplicar la norma de los signos. * 1 punto FALSO VERDADERO

Answers

Answer:

La norma de los signos es para el producto de números reales, y la norma es la siguiente.

(+)*(+) = (+)

(+)*(-) = (-)

(-)*(+) = (-)

(-)*(-) = (+)

Es decir, el producto de dos números de mismo signo es siempre positivo

El producto de dos números de distinto signo es siempre negativo.

Particularmente, para la suma esta norma no funciona (pues no está definida para la suma)

Pero en casos como:

5 - (-4)  

(esto sería: "la diferencia entre cinco y menos cuatro")

notar que podemos reescribir esto como:

5 + (-1)*(-4)

Ahora podemos aplicar la norma de los signos:

5 + 4 = 9

Donde aplicamos la norma de los signos,  

Podemos concluir que, si bien es una regla que aplica al producto, siempre la tenemos que tener en cuenta en cualquier operación que hagamos.

Por lo podemos concluir que la respuesta correcta es verdadero.

if tanA=12/16,find sin 2A​

Answers

Solution:

First, we need to draw a right triangle to represent the given trigonometric ratio. (Kindly refer to the attached photo for the figure.)

Second, we need to determine the length of the unknown side.

In this case, the unknown side is the hypotenuse. Since the length of the opposite side is 12 and the length of the adjacent side is 16, then the length of the hypotenuse is

[tex]c = \sqrt{16^{2} + 12^{2}}[/tex]

[tex]c = 20[/tex]

After this, we need to know the trigonometric identity of sin 2A in order to solve for its value.

We know that,

sin 2A = 2 sin A cos A

Then, we need to determine the values of sin A and cos A.

Based on the figure (attached photo), the values of sin A and cos A are

sin A = opposite side / hypotenuse

sin A = 12/20

sin A = 3/5

cos A = adjacent side / hypotenuse

cos A = 16/20

cos A = 4/5

Finally, we can now solve for the value of sin 2A by substituting the values of sin A and cos A to the trigonometric identity of sin 2A.

Therefore, the the value of sin 2A is

sin 2A = 2 sin A cos A

sin 2A = 2(3/5)(4/5)

sin 2A = 24/25

Quais são os zeros(ou raízes) da função quadrática f(x) = x² + 3x - 4? Assinale a alternativa correta. *
a) 2 e 3
b) 1 e - 4
c) 3 e 4
d) 4 e -1

Answers

Given:

The quadratic function is:

[tex]f(x)=x^2+3x-4[/tex]

To find:

The zeros of the given quadratic function.

Solution:

We have,

[tex]f(x)=x^2+3x-4[/tex]

Splitting the middle term, we get

[tex]f(x)=x^2+4x-x-4[/tex]

[tex]f(x)=x(x+4)-1(x+4)[/tex]

[tex]f(x)=(x+4)(x-1)[/tex]

For zeros, [tex]f(x)=0[/tex].

[tex](x+4)(x-1)=0[/tex]

[tex]x=-4,1[/tex]

Therefore, the correct option is (b).

solve 2x+3y=11, 2x-4y=-24 ny cross multiplication method​

Answers

x y 1
__________ _________ _________
(3*-24)-(-4*11) = (11*2)-(-24*2) =(2*-4)-(2*3)
x y 1
_______= ___________ = __________
-72-44 22-(-24) -8-6
I hope it will help you

A rhino can run 28 miles per hour. What is that speed in feet per second, to the nearest whole number?

Answers

Answer:

A rhino runs at a speed of about 28 miles per hour.

We need to determine the speed in feet per second.

Converting miles to feet:

The miles can be converted to feet by multiplying 5280 with 28 miles per hour.

Thus, we have;

28 x 5280 = 14784028 × 5280 = 147840

Thus, the speed of the rhino in feet per hour is 147840

Converting hours to seconds:

The hours can be converted into seconds by dividing 147840 by 3600 (Because an hour has 60 seconds in a minute and 60 minutes in an hour)

Thus, we get;

Speed=\frac{147840}{3600}Speed=

3600

147840

Speed = 41.066667Speed=41.066667

Rounding off to the nearest whole number, we get;

Speed = 41

Therefore, the speed of the rhino is 41 feet per second.

A rectangle has a perimeter of 80 cm and its length is 1 cm more than twice its width. Find the dimensions of a rectangle given that its perimeter is 80 cm and its length is 1 cm more than twice its width. Set up your solution using the variables L for the length, W for the width, and P for the perimeter. Part a: Using the definition of the perimeter, write an equation for P in terms of L and W. Part b: Using the relationship given in the problem statement, write an equation for L in terms of W. Solve the equations from parts a and b. Part c: The length is ? Cm. Part d: The width is? Cm.

Answers

Answer: (a) P = 6W + 2

(b) L = 2W + 1

(c) Width = 13cm

Length = 27cm

Step-by-step explanation:

The formula for perimeter of a rectangle is 2(length + width). Since the length is 1 cm more than twice its width, then the length will be:

L = (2 × W) + 1

(b) L = 2W + 1

Therefore, P = 2(L + W)

P = 2( 2W + 1) + 2W

P = 4W + 2 + 2W

(a) P = 6W + 2

Since perimeter is given as 80cm. Therefore,

P = 6W + 2

6W + 2 = 80

6W = 80 - 2

6W = 78

W = 78/6

W = 13

Width is 13cm

Length = 2W + 1

Length = 2(13) + 1

Length = 27cm

The width of the rectangle is 13cm and the length is 27cm.

Description of a rectangle

A rectangle is a quadrilateral. Opposite sides are equal. The four angles in a rectangle is equal to 90 degrees.

The formula for determining the perimeter of a rectangle = 2x (length + width)

P = 2(L + W)

Perimeter = 80 length = 1 + 2w Width = w

Determining the values of width and length

80 = 2(1 + 2w + w)

80 = 2(1 + 3w)

40 = 1 + 3w

40 - 1 = 3w

39 = 3w

w = 13cm

Length = 1 + 2(13) = 27cm

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What is the value of the median ?
1. 8
2. 4
3. 6
4. -4

Answers

The value of the median is going to be 6

helppp plzzz right nowwwwwwww

Answers

Answer:

They are parallel so also -4/3

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