The diagram shows a rhombus inside a regular pentagon.
Work out the size of angle x.

Answer:

Step-by-step explanation:

Use table for f(x) related questions and equation for g(x) related questions and both for the last one.

By using the table of values, we have the following:

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable (x-value) to an output variable (y-value or f(x)).

In this exercise, you're required to determine the value of each function based on the value of x shown in the table above. Therefore, you would identify the input variable (x-value) that corresponds to the value of the output variable (y-value or f(x)) in the given table and vice-versa.

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For the given function g(x) , the values at given points :

a. g(9) = 2

b. g(0) = -2.5

c. g(3) = -1

d. g(17) = 6

A function is a set of rules that assigns each element of a set a unique element of another set.

If f is a function and f(x) = x+2, then if we have to find value of at x= 1 ,put 1 in place of x,

Then f(1 ) = 1+2 =3

Given that a function g is such that

g(x) = (x -5)/2

This the values of the function g at given points:

a. g(9) = (9-5)/2 = 4/2 = 2

b. g(0) = (0-5)/2 = -5/2 = -2.5

c. g(3) = (3-5)/2 = -2/2 = -1

d. g(17 ) =  (17-5)/2 = 12/2 = 6

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Answer:

-7

Step-by-step explanation:

5 * 3 = 15. 15 - 8 = 7; so, 8 - 15 = -7.

The solution of the given conditions are;

a. Smallest possible value of 100 draws = 100

b. Largest possible value of 100 draws = 600

c. Average of the box = 3.6

d. The expected value of the sum = 360

e. Standard Error = 0.189

Given tickets: 5, 1, 2, 4, 3, and 6.

Value of n = 100

Question a :

Smallest possible value of 100 draws = 100 * (Least of the ticket values)

                                                              = 100 * 1

                                                              = 100

Question b :

Largest possible value of 100 draws = 100 * (Highest of the ticket values)

                                                             = 100 * 6

                                                             = 600

Question c :

Average of the box = (5+1+2+4+3+6) / 6

                                = 22/6

                                = 3.6

Question d :

The expected value of the sum = 100 * the Average of the box

                                                     = 100 * 3.6

                                                     = 360

Question e :

Given, SD = 1.89

Standard Error =?

Standard Error = SD/[tex]\sqrt{n}[/tex]

SE = 1.89/√100

    = 1.89 / 10

    = 0.189

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Step-by-step explanation:

slope intercept form is: y = ax + b

so, 19x - 19y = 18

-19y = -19x +18

[tex]y = \frac{ - 19x}{ - 19} - \frac{18}{19} [/tex]

[tex]y = x - \frac{18}{19} [/tex]

i hope that this helps

Answer:

SSS

Step-by-step explanation:

The percentage of the students that like rap are also in grades 9–10 is 32%.

Given data:

Grade 9-10 for Rap = 40

Row total for grade 9-10 = 125

Now let determine the percentage of rap in grades 9-10 using this formula

Percentage of rap in grades 9-10 = Grade 9-10 for Rap / Row total for grade 9-10

Let plug in the formula

Percentage of rap in grades 9-10 = 40 /125

Percentage of rap in grades 9-10 = 0.32 × 100

Percentage of rap in grades 9-10 = 32%

Therefore we can conclude that 32% is the percentage of rap grade 9-10.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explanation:

ASA = angle side angle

It refers to knowing two pairs of congruent angles, and a pair of congruent sides between the angles.

The angle markers tell us which angles are congruent. The shared overlapped sides are congruent (since any segment is congruent to itself; aka reflexive property).

ASA is slightly different from AAS in that the congruent sides for AAS are not between the congruent angles.

Answer:54

Step-by-step explanation:

54mis the answer

The area of the circle is 201 m².

So, the area of the circle:

We know that 4a = 2πr, now calculate r as follows:

Rounding off: 8m

Area of circle:

Rounding off: 201 m²

Therefore, the area of the circle is 201 m².

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Answer:

4x² + 29x + 7 = (4x + 1)(x + 7)

Step-by-step explanation:

Like terms are terms with same variable and same power.

       Perimeter = sum of all the sides

                         = 3x² + 1 + 15x + 6 + x² + 14x

                         = 3x² + x² + 15x + 14x + 1 + 6

Combine like terms,

                        = 4x² + 29x + 7

Factorize:

        Sum = 29

  Product = 4*7 = 28

   Factors = 1 , 28    {28 + 1 = 29 & 28*1 = 28}

Rewrite the middle term using the factors,

                           = 4x² + x + 28x + 7

                           = x(4x + 1) + 7(4x + 1)

                           = (4x + 1)(x + 7)

The value that will be equivalent to the expression will be 5625³.

It should be noted that an expression is simply used in Mathematics to illustrate or show the relationship between the variables.

The equivalent expression for (3 to the power of 2 • 5 to the power of 4) to the power of 3 will be illustrated as:

= (3² × 5⁴)³

= (9 × 625)³

= 5625³

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Answer:

Step-by-step explanation:

Find the value of s on one side of the equation to isolate it.

1.1=s+2.3/3

First, switch sides.

[tex]\sf{\dfrac{s+2.3}{3}=1.1}[/tex]

Multiply by 3 from both sides.

[tex]\sf{\dfrac{3\left(s+2.3\right)}{3}=1.1* \:3}[/tex]

Solve.

1.1*3=3.3

s+2.3=3.3

Then, subtract by 2.3 from both sides.

s+2.3-2.3=3.3-2.3

Solve.

Subtract.

3.3-2.3=1.0=1

s=1

Therefore, the final answer is s=1.

I hope this helps, let me know if you have any questions.

Step-by-step explanation:

sadly we don't know anything about the size of the mirror on the ground, or if e.g. the 1.65 m from the mirror mean from the edge of the mirror or from the x at the center of the mirror.

so, we must assume the mirror as a dot without any significant lengths in the calculation.

we have 2 right-angled triangles.

1. the small one : from Yusuf's eyes to the ground at his feet to the x on the mirror on the ground.

2. the large one : from the top of the building to the bottom of the building on the ground to the x on the mirror on the ground.

the mirroring creates a dilation from the large triangle to the small triangle through the point x on the mirror.

in other words, all the angles stay the same, and there is one constant scale factor for all the lengths of one triangle to the other, making both triangles similar.

that means that the scale factor "f" of the ground distances from the small to the large triangle is

10.25 / 1.65 = 1025 / 165 = 6 35/165 = 6 7/33 =

= 6.212121212...

the scaling from Yusuf's height (well, his eye level) to the height of the school must follow the same ratio :

school height / Yusuf's eye level =

= h/1.55 = 10.25/1.65

h = 10.25 × 1.55 / 1.65 = 1025 × 155 / 16500 =

= 9.628787879... m ≈ 9.63 m

the school is approximately 9.63 m tall.

FYI : this is the same principle as with a camera. the lens (and the mirror inside if applicable) create a dilated "projection" onto a film or an array of digital light sensors, so that the captured image retains all the angles and all the length ratios of the original.

but to know from the picture e.g. how tall the original was, we need to know also the distance from which the picture was taken. otherwise this can't be answered.

Answer: -20 degrees

Step-by-step explanation:

The temperature drops 5 degrees/hour.

Find temperature after 4 hours.

Since we are not given a starting temperature, we can only say how much the temperature has dropped after the 4 hours.

5 degrees/hour x 4 hours = 20 degrees

Temperature has dropped so your answer will be negative.

Answer:

D

Step-by-step explanation:

Look at the original figure that is complete.  The left side of the figure has a length of 3 units, the top of the figure has a length of 2 units and the bottom of the figure has a length of 3 units.  

If you multiply each of those lengths, you will have  9 (3x3), 6 (2x3) and 9 (3x3).  Do you see in the large figure to the right, that you have a left side of 9, a top of 6 and a bottom of 9?  That is what you original figure looks like if we multiply the sides by 3.  We are missing the right side point.  That is the point on the right side that points inward.

If you look at the original shape and start at the left had bottom corner, you would have to move up one and one to the right to plot the point to finish the figure.  So, for the new figure we would need to go up three and three to the right to put the last point.  That would be point D.

By means of algebra properties for powers and roots, the radical expression [tex]\sqrt[3]{81\cdot x^7\cdot y^{9}\cdot z^{5}}[/tex] is equivalent to the expression [tex]4.327 \cdot x^{\frac{7}{3} }\cdot y^{3} \cdot z^{\frac{5}{3} }[/tex].

In this question we need to simplify an expression by using algebra properties, that is, to transform an expression involving three variables (x, y, z), roots and power operators into an expression with only power operators, that is, where only we see power operators, no root operators of any kind. Now we proceed the entire procedure in detail:

In accordance to the algebra properties related to power and radical expressions, the radical expression [tex]\sqrt[3]{81\cdot x^7\cdot y^{9}\cdot z^{5}}[/tex] is equivalent to the power product [tex]4.327 \cdot x^{\frac{7}{3} }\cdot y^{3} \cdot z^{\frac{5}{3} }[/tex].

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Answer: 1.44

Step-by-step explanation:

The fraction 3 and 6/25 is equal to 1.44 when written as a fraction.

Answer:

3.24

Step-by-step explanation:

6/25 can be read as 6 divided by 25, which is 0.24. Add that to 3 and you get 3.24.

Answer:4,3,8

Step-by-step explanation:

We can solve with functions exactly as we do algebraic equations. Our goal is to isolate the variable.

We're given:

[tex]q(x) = \dfrac{1}{2}x-3\\\\q(x) = -4[/tex]

Solve using substitution:

[tex]\dfrac{1}{2}x-3=-4[/tex]

Isolate x:

[tex]\dfrac{1}{2}x=-4+3\\\\\dfrac{1}{2}x=-1\\\\x=-2[/tex]

x = -2

Answer:

Step-by-step explanation:

You want the area and perimeter of a rectangle that is 54 inches in length and 30.4 inches in width.

The area formula is ...

  A = bh

We can use the length as the "base" and the width as the "height", so we have ...

  A = (54 in)(30.4 in) = 1641.6 in²

The area of the television screen is 1641.6 square inches.

The perimeter of a rectangle is given by the formula ...

  P = 2(L +W)

Using the given length and width, the perimeter is found to be ...

  P = 2(54 in + 30.4 in) = 2(84.4 in) = 168.8 in

The perimeter of the television screen is 168.8 inches.

The area of the rectangular television screen is 1641.6 square inches and the perimeter of the television screen is 84.4 inches.

What is the area of a rectangle?
The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the product of its length and breadth. Its area is the space that the rectangle's boundary encloses.
Mathematically, area of a rectangle = length * width = l * w
What is the perimeter of a rectangle?
The perimeter is defined as the sum of all sides of the rectangle. Mathematically, perimeter of a rectangle = 2(length + width) = 2*(l + w)

Given, the length of the television screen = l = 54 inches
The width of the television screen = w = 30.4 inches
Using the formula mentioned in the literature above,
Area of the television screen = l * w = 54*30.4 = 1641.6 square inches
Also, perimeter of the television screen = l + w = 54 + 30.4 = 84.4 inches
Thus, the area of the rectangular television screen is 1641.6 square inches and the perimeter of the television screen is 84.4 inches.

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Answer:

a opened because a closed means that number ond more

Step-by-step explanation: