the standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. a standard dartboard is 18 inches in diameter. suppose a standard dartboard is hung at standard height so that the bull's-eye is 12 feet from a wall to its left. brian throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5 feet above the floor. does brian's dart land on the dartboard? drag the choices into the boxes to correctly complete the statements.

Answer: 11 / 20

Step-by-step explanation:

Answer:

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

Given sum of cubes, use identity a³ + b³ = (a + b)(a² - ab + b²):

The matching choice is B.

Answer:

B)  (2x + 3)(4x² - 6x + 9)

Step-by-step explanation:

Given expression:

[tex]8x^3+27[/tex]

Rewrite  8 as 2³  and  27 as 3³:

[tex]\implies 2^3x^3+3^3[/tex]

[tex]\textsf{Apply exponent rule} \quad a^nc^n=(ac)^n:[/tex]

[tex]\implies (2x)^3+3^3[/tex]

[tex]\boxed{\begin{minipage}{5 cm}\underline{Sum of Cubes Formula}\\\\$a^3+b^3=(a+b)(a^2-ab+b^2)\\\end{minipage}}[/tex]

Therefore:

Using the Sum of Cubes formula:

[tex]\begin{aligned}\implies (2x)^2+3^3&=(2x+3)((2x)^2-2x(3)+3^2)\\&=(2x+3)(4x^2-6x+9)\end{aligned}[/tex]

Answer:

Step-by-step explanation:

17-8=9 but if 18-7=11 then 19-8=7

Answer: 166

Step-by-step explanation:

The sum of two odd numbers is an even number.

85 is odd, and so is the sum of an odd number and an even number.

2×83=166

Answer: 1452 units^3

The required volume of the cylinder with a height of 12 units and radius of 11 units is 1452π cubic units.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The formula for the volume of a cylinder is given as:

V = πr²h

Where V is the volume of the cylinder, r is the radius of the cylinder, and h is the height of the cylinder.

Substituting the given values, we get:

V = π(11)²(12)

= π(121)(12)

= 1452π cubic units

Therefore, the volume of the cylinder with a height of 12 units and radius of 11 units is 1452π cubic units.

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Two more adults can board the elevator if there are 17 children present inside.

The number of adults who can still enter will be determined by the linear equation solution.

let

20c = 15a ; 5 divided by both sides

4c = 3a

Another 3 kids can enter the elevator if there are already 17 in it.

The fact that;

3c =  9/4 a

3c =  9/4 a

3c = 2.25 a

3c = 2 a (no fraction)

Thus, two more adults can board the elevator if there are 17 children present inside.

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Answer:

There are 9 small $5 bags and 6 large $8 bags

Step-by-step explanation:

9 x 5 = 45

6 x 8 = 48

45 + 48 = 93

The amount invested at 8% and 6% is 1000 and 1900 respectively.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, The person invested $2900 in two mutual funds and the total profit is $194.

Let the amount invested at 8% is x, then the amount invested at 6% is:

2900-x

Since the total profit is $194, it follows:
8% of x + 6% of (2900 - x) = 194

8x/100 + 6(2900 - x)/100 = 194

8x + 17400 - 6x = 19400

2x = 19400 - 17400

2x = 2000

x = 1000

The amount invested at 6% is:
2900 - 1000

= 1900

Hence, the amount invested at 8% and 6% is 1000 and 1900 respectively.

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Answer:

Below

Step-by-step explanation:

Slope , m, is calculated  (y1-y2) / ( x1-x2) =

   Using the first two points :   (-5-0) / (-3 -0) = 5/3

slope = 5/3

Answer:  12

Step-by-step explanation:

hope this helps

Answer:

I think it’s 4/n and 4 divided by n. Sorry if it’s wrong!

Step-by-step explanation:

Sine and cosine are the fundamental trigonometric functions associated to the sides of a right triangle and tangent is a derivate trigonometric function.

Let be a right triangle, whose features are introduced in the figure attached below. The side with measure y is the side opposite to the angle θ, whereas the side with measure x is the side adjacent to the angle θ. The side with measure r represents the hypotenuse of the right triangle, which can be found by means of Pythagorean theorem:

r = √(x² + y²)

Trigonometric functions are trascendent functions that relates two sides of the right triangle. There are two fundamental trigonometric functions and four derivate trigonometric functions:

Fundamental

sin θ = y / r = (Opposite side) / (Hypotenuse)

cos θ = x / r = (Adjacent side) / (Hypotenuse)

Derivate

tan θ = sin θ / cos θ = y / x = (Opposite side) / (Adjacent side)

cot θ = 1 / tan θ = cos θ / sin θ = x / y = (Adjacent side) / (Opposite side)

sec θ = 1 / cos θ = r / x = (Hypotenuse) / (Adjacent side)

csc θ = 1 / sin θ = r / y = (Hypotenuse) / (Opposite side)

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The mean , standard deviation, and the variance of each binomial experiment using given probability and sample of restaurant owners surveyed is equal to 54.52 , 1.808, 3.2712 respectively.

As given in the question,

Let success be defined by health department inspection is passed by restaurant

Probability of success rate 'p' = 0.94

Value of ' 1 - p ' = 1 - 0.94

                        = 0.06

Number of owners of restaurant which are surveyed 'n' = 58

For the given binomial experiments calculation of the following distributions are:

Mean 'μ' = np

             = 58 × 0.94

             = 54.52

Standard deviation 'σ' = √ np (1 - p)

                                   = √ 58 × 0.94 × 0.06

                                   = √3.2712

                                   = 1.808

Variance 'σ²' =  np( 1 - p )

                    = 58 × 0.94 × 0.06

                   = 3.2712

Therefore, the mean , standard deviation , and the variance from the given probability and sample size is equal to 54.52 , 1.808, 3.2712 respectively.

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The reaction described by 2 h subscript 2 end subscript o plus 2 k open parentheses s close parentheses rightwards arrow 2 k o h open parentheses l close parentheses plus 2 h subscript 2 end subscript open parentheses g close parentheses is an example of oxidation - reduction reaction

Any chemical process in which a participating chemical species' oxidation number changes is known as an oxidation-reduction reaction, often known as a redox reaction. The phrase refers to a broad range of procedures.

The equation of the reaction is written as

2H₂O + 2K → 2KOH + 2H₂

The reducing agent here is Potassium which is K it transformed from Potassium to Potassium Hydroxide. Potassium is electron donor

The oxidizing agent is water which ended up as Hydrogen molecule

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Answer:

They would have sold 8.2 eggs

Step-by-step explanation:

^

There are 2 hours of television must you watch in the eighth week to meet your goal.

What is television?

The transmission of audio and video data electronically between a source and a recipient.

The primary use of television is to transmit shows for entertainment, information, and education. Television is a system for transmitting visual images and sound that are reproduced on screens.

Given: You want to limit the amount of television you watch to an average of at most 1.5 hours per week during an 8-week period.

Suppose x is the hours of watching television in the 8th week.

Let the average of watching television per week is 1.5.

⇒

[tex]\frac{1 + 1.5 + 0.5 + 3 + 1.5 + 2 + 0.5 + x}{8} = 1.5\\ \frac{10+x}{8}=1.5 \\10+x = 12\\x = 12-10\\x = 2[/tex]

Hence, there are 2 hours of television must you watch in the eighth week to meet your goal.

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For the given number line the inequality equation would be -10 < x ≤ 20.

What is inequality?

In mathematics, a linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

In the given number line, a hollow circle represents that the number is excluded and solid circle represents that the number is included in the range

and the range lies between -10 to 2.

Let's take a variable to describe the relationship,

By using inequality we can prepare the inequality equation as

                -10 < x ≤ 20

Hence, for the given number line the inequality equation would be -10 < x ≤ 20.

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Heather worked 5 hours every evening during each dinner shift.

Linear equations are equations whose highest power of the variables is 1. The graph of a linear equation is a straight line.

A nonlinear equation is an equation whose highest power of the variables is not 1 and the graph is not a straight line.

Let morning shift = m

evening shift = e

Representing the word problem in an equation;

4(m + e) = 28

Diving both sides by 4

m + e = 7

but she always works 2 hours in th morning shift

2 + e = 7

e = 7 - 2

e = 5

Therefore she worked 5 hours in the evening shift for 4 days.

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Answer:

Hi again, use the sine rule for length. answer: 82.42

Step-by-step explanation:

Answer:

√53 or 7.28

Step-by-step explanation:

To find the length of the line segment from the point (4, 2) to the point (-3, 4), you can use the distance formula, which is:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates of the two points, you get:

distance = √((-3 - 4)^2 + (4 - 2)^2)

Simplifying this expression gives:

distance = √((-7)^2 + (2)^2)

Which simplifies to:

distance = √(49 + 4)

Which simplifies to:

distance = √53

So the length of the line segment from the point (4, 2) to the point (-3, 4) is approximately 7.28.

Answer: $350 = t

Step-by-step explanation:

might help);   600-250 = t

t + 250 ≤ 600  INEQUALITY

Answer: $350.

Explanation: if you do  [tex]600 -250[/tex] you will end up with $350

The values of x and w on the triangle are given as follows:

w = 14.4, x = 11.2.

The values of x and w are obtained applying the trigonometric ratios, as the triangle is a right triangle.

The three trigonometric ratios are given as follows:

For the angle of 48º, we have that:

Hence:

tan(48º) = 16/w

w = 16/tan(48º)

w = 14.4.

For the angle of 32º, we have that:

Hence:

tan(32º) = 16/(14.4 + x)

tan(32º)(14.4 + x) = 16

x = (16 - 14.4tan(32º))/tan(32º)

x = 11.2.

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Answer: 1, 3

Step-by-step explanation: