What is the value of x in this figure?

What Is The Value Of X In This Figure?

Answers

Answer 1

The value of x in the figure is 5√3.

What is the trigonometry?

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry.

What does cos 30 mean?

The trigonometric function "Cosine" is denoted by the notation "Cos." The definition of cosine is the ratio of a right-angle triangle's hypotenuse to base length (the longest and slant side). Cos (x), where x is the angle formed by the two sides, equals base/hypotenuse, or b/h.

What is the formula of Cos 30?

Cos 30° = √3/2

3/2 is the value of Cos 30°, which is a trigonometric ratio or trigonometric function of a specific angle. The exact value of cos 30 degrees is expressed as 0.8660 roughly.

Cos 30°= b/h

√3/2 = x/10

X= √3/2 × 10

X= 5√3

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Related Questions

FORMATIVE AND SUMMAT assessment unit 4 Draw the figure's reflection in the y-axis.

Answers

The reflection of the quadrilateral across the y-axis is shown in the graph below.

What is a transformation of a shape?

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

The reflection does not change the shape and size of the geometry. But flipped the image.

The quadrilateral has four sides and four angles. And the sum of the internal angles of the quadrilateral is 360 degrees.

The quadrilateral is given in the figure.

The reflection of the quadrilateral across the y-axis is shown in the graph below.

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HELP MEE 45 POINTS!!!
Solve. What is r in the inequality? 6 (r– 10) + 8r ≤ 7

Answers

Answer in image

Step-by-step explanation:

Simplify both sides of the inequality.

Add 60 to both sides.

Divide both sides by 14.

r = 67/14 or 4.78571...

I need help on this please:
show that the two quadrilaterals are congruent​

Answers

They are congruent because all the angles and sides are congruent. KMQP are congruent angles and angle J and N are congruent. Segments JK, JQ, MN, and PN are also congruent.
In order to be congruent, the angles and sides must be the same

A while ago, Kinsley bought shares of stock in a high-tech firm. At that time, the selling price was $18 per share. According to today's newspaper, a share is currently worth 50% more. What is the current value of one share?

Answers

Answer:

$27

Step-by-step explanation:

We find 50% of $18 and add it to $18.

50% of $18 = 5/100 × $18 = 0.5 × $18 = $9

Today, it is worth $9 more.

$18 + $9 = $27

Find x, y and z for the diagram below.
X =
y =
Z=
88
2x+18
y+10
3x-7

Answers

i’m pretty sure this is the answers
x = 25
y = 78
z = 34

Last year, students planted 8 tomato plants and 16
garden. This year, the students planted
pepper plants in a school
15 tomato plants. They want to have the
same ratio of tomato plants to pepper plants as last year. Pepper plants cost
$4.33 each. What is the cost, in dollars, of the pepper plants for this year's garden?

Answers

Answer:

Step-by-step explanation:

From the ratio gotten, the total cost of the pepper will be $129.90.

How to solve a ratio

Since the students planted 8 tomato plants and 16 pepper plants in a school garden. The ratio will be:

= 8/16 = 1:2

This year, the students planted 15 tomato plants, the number of pepper will be:

= 15 × 2 = 30

Since pepper plants cost $4.33 each, the total cost will be:

= 30 × $4.33

= $129.90

Use f(x) = -4x+1, g(x) = x2 - 8x + 21, and h(x) = 19-3x|
Find h(8)-f(-7)

Answers

The function operation h(8) - f(-7) of the functions f(x) = -4x+1, and h(x) = 19-3x is -34.

What is the function operation h(8) - f(-7) in the given functions?

A function is simply a relationship that maps one input to one output.

Given the data in the question;

f(x) = -4x + 1g(x) = x² - 8x + 21h(x) = 19 - 3xh(8) - f(-7) = ?

First, solve for the output value of h(8) by replacing x with 8 and simplify.

h(x) = 19 - 3x

h(8) = 19 - 3(8)

h(8) = 19 - 24

h(8) = -5

Next, solve for the output value of f(-7) by replacing x with -7 and simplify.

f(x) = -4x + 1

f( -7 ) = -4( -7 ) + 1

f( -7 ) = 28 + 1

f( -7 ) = 29

Now, replace the function designators with the actual output values.

h(8) - f(-7) =  -5 - ( 29 )

h(8) - f(-7) =  -5 - 29

h(8) - f(-7) =  -34

Therefore, the output of the function operation h(8) - f(-7) is -34.

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Select all of the following that represent direct variation.
1. y = 5x
2. y = 2x + 1
3. 3 = xy
4. b = 1/2a
5. y= 2/x
6. m = 5n

Answers

The equations, y=5x, b = 1/2 a, m=5n are direct variations.

What is direct variation?

A sort of proportionality known as "direct variation" occurs when one quantity directly changes in response to a change in another quantity. This suggests that if one quantity increases, the other quantity will also increase proportionately. Similar to the last example, if one quantity declines, the other amount also declines. The link between direct variation and the graph will be linear, resulting in a straight line.

We know that any equation, which can be expressed in the form of y=kx, can be called a direct variation.

y = 5x is in the form of y = kx, where k =5, hence this is a direct variation

y = 2x + 1 is not in the form of y = kx, hence this is not a direct variation

xy = 3 is not in the form of y = kx, hence this is not a direct variation

b = 1/2 a is in the form of y = kx, where k =1/2, hence this is a direct variation

y = 2/x is not in the form of y = kx, hence this is not a direct variation

m = 5n is in the form of y = kx, where k =5, hence this is a direct variation

Thus, y=5x, b = 1/2 a, m=5n are direct variation

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Please help
What inequality does the number line show?

Write your answer starting with
x (example: x < 3)

Answers

Answer:

x < 5

Step-by-step explanation:

the dot is empty so we don’t consider 5

The coloured arrow continues to the left so we use this symbol : < (minor)

x<5

The inequality for the number line show is x<5.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We can see that the inequality starts from 5 moves towards 2.

As, the starting of number line have open dot which shows we cannot include 5.

So, the inequality will have sign '<'.

Now, the inequality of the number line is

x < 5.

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Contruct a polynomial function with the tated propertie. Reduce all fraction to lowet term. Third-degree, with zero of −3, −1, and 2, and pae through the point (0,-14)

Answers

On solving the provided the question, we got that - f(x) = 7/3[x - (2)] [x - (-1)] (x +3) is the equation which is formed.

What is equation?

An equation can be defined in a variety of ways. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions.

Gives zeroes are -

-3, -1 and 2

and it passes through (0, -14)

Constructing a function from a product of factors containing the zeros, with an unknown coefficient

f(x) = a [x - (2)] [x - (-1)] (x +3)

with a ≠ 0.

f(x) = a(x -2)(x + 1)((x +3)

Use f(0) = -14 to find a.

-14 = a(-2)(1)(3) = -6a

a = 7/3

Now,

f(x) = 7/3[x - (2)] [x - (-1)] (x +3)

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Which product is represented by the model?
A. 0.05×0.04=0.002
B. 5×0.4=2
C. 0.5×0.4=0.2
D. 0.5×0.04=0.02

Answers

0.05×0.04=0.002 is the product represented by the model

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given:

5 column (hundred grid) = 5/100 = 0.05

4 row (hundred grid) = 4/100 = 0.04

We need to find Area equation

Computation:

Area equation = 0.05 x 0.04

0.05 x 0.04 = 0.002

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(LOTS OF POINTS) The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $175.50 for each ton of sugar. The second company charges $4995 to rent trucks plus an additional fee of $200.75 for each ton of sugar.

a) For what amount of sugar do the two companies charge the same?
b) What is the cost when the two companies charge the same?

Answers

The amount of sugar that both companies would charge the same is 20 tons.

The cost when the two companies would charge the same is $9010.

What is the amount of sugar that both companies would charge the same?

The linear equation that represents the total charge of the companies : cost to rent truck + (ton of sugar x cost per ton)

The linear equation that represents the total charge of the first company : $5500 + ($175 x s)

$5500 + $175s

The linear equation that represents the total charge of the second company : $4995 + ($200.75 x s)

$4995 + $200.75s

When the two companies charge the same, the two linear functions above would be equal.

$4995 + $200.75s  = $5500 + $175s

In order to determine the value of s, take the following steps:

200.75s - 175.50s = $5500 - $4995

25.25s = 505

s = 505 / 27.25

s = 20

In order to determine when the cost of the two companies would be the same, substitute for s in either of the above linear functions.

$5500 + $175.50(20)

$5,500 + 3510 = $9010

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Determine which set of side measurements could be used to form a right triangle.
A. 3, 11, 20
B. 5, 9, 17
C. 6, 7, 8
D. 6, 8, 10

Answers

Answer:

D. 6, 8, 10

Step-by-step explanation:

Apply the Pythagorean theorem equation to all set of number, and see which one works.

A.

3² + 11² ≠ 20²

9 + 121 ≠ 400

131 ≠ 400

B.

5² + 9² ≠ 17²

25 + 81 ≠ 289

106 ≠ 289

C.

6² + 7² ≠ 8²

36 + 49 ≠ 64

85 ≠ 64

D.

6² + 8² = 10²

36 + 64 = 100

100 = 100

Do males or females like basketball more? Show both raw numbers and percentages.

Answers

We can infer from the data set provided that more women than men are interested in basketball.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

From table given in question

Number of males that like basketball = 21

Number of females that like basketball = 29

Percentage of males that like basketball =  (21/50)*100 = 42%

Percentage of females that like basketball =  (29/50)*100 = 58%

So, from above data we can conclude that females like basketball more than that of males.

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HELP ASAP ITS URGENT!!!!!!!
ILL GIVE 50 POINTS

Answers

Answer: It's in the picture

Step-by-step explanation:

Given the area of a rectangle is A = x^(2) - 3x - 18, answer the following questions: What is the length of each side? What is the perimeter of the rectangle? Please answer I'm giving 30 points.

Answers

The dimensions of the rectangle in terms of x  are (x-6) and (x+3).

What in mathematics is a quadratic equation?

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given that:

A = x^(2) - 3x - 18

By solving this equation we can get the values of length and breath of rectangle

A = x^(2) - 6x + 3x - 18

A = x(x-6)+3(x-6)

A = (x-6)(x+3)

Hence the area of rectangle is equal to L * W

Hence, the dimensions of the rectangle are (x-6) and (x+3).

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How many solutions does the following equation have?
-14(z-5) = -14z +70
Choose 1 answer:
A. No solutions
B. Exactly one solution
C. Infinitely many solutions

Answers

Answer: C. Infinitely many solutions

Step-by-step explanation: If the answer is <0, then there is no solution; if it is >1, then there is more than one solution; if = 0, then there are Infinitely many solutions

-14(z-5) = -14z +70 can be write as

-14z + 70 = -14z + 70

-14z = -14z

 z= 0

Because the answer is 0 so there Infinitely many solutions

If you can, please give me a Brainliest; thank you!

Answer:

C. Infinite many solutions.

Step-by-step explanation:

Simplify the left side of the equation. Note the parenthesis. Distribute -14 to all terms within the parenthesis:

-14(z -  5) = -14z + 70

-14z + 70 = -14z + 70

C. Infinitely many solutions is your answer, as no matter what number you plug in for the variable z, the equation would still be true.

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which graph represents the solution to the system of equations? y=1/2x+1 y=-2x+8

Answers

Answer:

The answer is Bottom Left

pirya has picked 1 1/2 cups of raspberries, which is enough for 3/4 of a cake how many cups does she need for the whole cae

Answers

Pirya needs 1 1/2 cups of raspberries for 3/4 of a cake, so she needs 1 1/2 * (4/3) = 2 cups of raspberries for the whole cake.

What is fraction?

A fraction is a numerical representation of a portion of a total. It consists of two integers, a numerator and a denominator, separated by a line or slash. The numerator reflects the number of equal portions of the whole that are being considered, while the denominator represents the total number of equal parts in the whole. For instance, the fraction "1/2" denotes one of two identical pieces, or half, of the whole. Mathematicians frequently utilize fractions to represent quantities, ratios, and proportions. They are also used in everyday life to signify amounts, such as one-half of a pizza or one-third of a cups of sugar.

How to solve?

she needs 1 1/2 * (4/3) = 2 cups of raspberries for the whole cake.

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the set of integers that satisfy (x-2)(2x+1)=2x^2-3x-2

Please help guys please​

Answers

Answer: 3

Step-by-step explanation:  (x-2)(2x+1)=2x^2-3x-2 = 3

please put brainiest, please.

A. 3(2x-3)-5(2+x) B. -2(2x+3)(x+2)-(x+2) C. 3(2-x)+3(2-x) 2. Solve and check each of the following equation. i.3x+5=29 ii. x-1=14 3. Solve each of the following questions. i. 2(x+2)-3(2-x)=2(x-3) ii. -3(2-2x)-(x+2)=2x+3 iii. 2/3(x+2)=7/8(2-x) iv. 4/3(2-x)=3/5(x+3) v. 5[x-(4x-5)]-2=2-7x iii. x=21 4. Locate each of the following on the coordinate plane bra​

Answers

Answer:

[tex] {x + 2x}^{2} [/tex]

Use the following function rule to find f(–4).

f(x) =
–4 +
4
|x|

f(–4) =

Answers

By evaluating the function in x = -4, we will get:

f(-4) = 12

How to evaluate the function f(x)?

Here we have the following function:

f(x) = -4 + 4*|x|

So we have an absolute value function.

We want to find f(-4), so we want to evaluate the function in x = -4, to do that, just replace the variable by that number.

We will get:

f(-4) = -4 + 4*|-4|

Remember that the absolute value of a negative number gives the opposite:

|-4| = 4

Then:

f(-4) = -4 + 4*|-4|

f(-4) = -4 + 4*4

f(-4) = -4 + 16 = 12

f(-4) = 12

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In the function g(x)=9-5x what is the value of g(3)

Answers

Answer:

g(3) = - 6

Step-by-step explanation:

g(3) = 9 - 5(3)

g(3) = 9 - 15

g(3) = - 6

{0.2x+0.6y=3.6 0.4x-0.9y=-1.2} what is the answer

Answers

Answer:

68266==874624./4

Step-by-step explanation:

77353877473=287365-2874662kkh=2875

Question 10 of 25
The polynomial (x-2) is a factor of the polynomial 5x² - 6x +4.
O A. True
OB. False

Answers

Answer:

B. False

Step-by-step explanation:

5x² - 6x + 4 | 5 × 4 = 20

Can't factor it normally

           √b² - 4ac

 -b  ±   ---------------

                2a

           √(-6)² - 4(5)(4)

 -(-6)  ±   ---------------

                   2(5)

           √36 - 80

 6  ±   ---------------

                 10

    6 ± √-44

  ---------------

         10

    6 ± √-4 × 11

  ---------------

         10

    6 ± 2i√11

  ---------------

         10

The answer is actually

    3 ± i√11

  ---------------

         5

I hope this helps!

Answer:

  B.  False

Step-by-step explanation:

You want to know if (x -2) is a factor of 5x² -6x +4.

Remainder

There are a couple of ways you can determine whether (x -2) is a factor. One is to look at the polynomial value at x=2:

  5x² -6x +4 = (5x -6)x +4 = (5(2) -6)(2) +4 = 4(2) +4 = 12

The value is not 0, so (x -2) is not a factor.

Other factor

Another way to tell is to determine what the other factor would be.

The product of roots is the ratio c/a = 4/5 in the polynomial. If 2 is a root, then (4/5)/2 = 2/5 is the other root. That would mean the factorization of the polynomial is ...

  (5x -2)(x -2) = 5x² -12x +4 . . . . . . not the same polynomial

The polynomial 5x² -6x +4 does not have a factor (x -2).

Graph

The graph of the polynomial has no x-intercepts, so (x -2) cannot be a factor.

The volume of a cylinder is given by the formula V = ²h,
where r is the radius and h is the height of the cylinder.
Determine the volume of a soup can with a 3-inch radius and
a 5.5-inch height.
Use 3.14 for T.
a 145.51 in ³
b 245.51 in ³
c 103.62 in ³
d 155.43 in ³
Activate
Go to Settin

Answers

Given r=3 and h=5.5, input these values into the volume of a cylinder formula:

V= 3.14(3)^2•5.5

Now, solve with PEMDAS:

Exponents come first:

V=3.14(9)•5.5

Then, multiplication and division from left to right:

V=28.26•5.5

V=155.43

Therefore, the volume is 155.43in^3

Answer and show work

Answers

Using Pythagoras theorem the hypothenuse of the figure is 32.5 feet

What are Pythagoras's Theorem

Pythagoras theorem is defined as “In a right-angled triangle,  the square of the hypotenuse must be equal to the sum of squares of the other two sides". The sides of this triangle  are legs and hypotenuse. The hypotenuse is the longest side, as it is opposite to the angle 90°.

The formula of Pythagoras theorem is given as

c² = a² + b²

Taking the two sides given, we can find the hypothenuse of the right angle triangle figure

c² = 26² + 19.5²

c² = 676 + 380.25

c = √1056.25

c = 32.5

The distance from the top of the pole to the stake is 32.5 feet

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Please help, need a diagram and correct calculations!!!

Answers

Buy the land !all angles will be greater than 30 °

How many piece of land he buy ?

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circular functions) that make up trigonometry.

A branch of mathematics called trigonometry examines connections between triangles' sides and angles. Due to the fact that every straight-sided shape can be decomposed into a group of triangles, trigonometry can be found throughout all of geometry.

cos x = 500²+800²-900²/-2(800)(900)

x = [tex]cos^{-1}[/tex](+1200000/+1440000)

=336°

Buy the land !all angles will be greater than 30 °

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Please Help Me with this Problem if you can
Thank you

Answers

Answer:

C

Step-by-step explanation:

-2x + 10  Means that the line crosses the y axis at 10.  The slope is -2 that means that as the y changes by -2, the x changes by 1.  

The second equations means that we have a horizontal line with no slope that goes through -28 1/2

Solve for x.
-12< -3x - 15 < 36
Enter your answer, as one inequality, in the box.

Answers

Step-by-step explanation:

-12 < -3x - 15 <= 36 | add 15 everywhere

3 < -3x <= 51 | divide by 3 everywhere

1 < -x <= 17 | multiply by -1 everywhere

-1 > x >= -17

or

-17 <= x < -1

remember that with every multiplication or division of a negative number the orientation of the inequality signs flip.

the same happens, of course, when we exchange the upper and lower limits from left to right and right to left, so that the smaller number is on the left, and the larger number on the right (yes, -1 is larger than -17).

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