For a project in her Geometry class, Addison uses a mirror on the ground to measure
the height of her school's football goalpost. She walks a distance of 13.25 meters from
the goalpost, then places a mirror on flat on the ground, marked with an X at the
center. She then steps 1.3 meters to the other side of the mirror, until she can see the
top of the goalpost clearly marked in the X. Her partner measures the distance from
her eyes to the ground to be 1.55 meters. How tall is the goalpost? Round your answer
to the nearest hundredth of a meter.
1q
1.55 m
1.
13 m-
13.25 m

Answers

Answer 1

Answer:

the height of the goalpost is approximately 10.48 meters.

Step-by-step explanation:

To find the height of the goalpost, Addison needs to use the distance from the mirror to the goalpost, the distance from her eyes to the ground, and the angle formed by the goalpost, the mirror, and her eyes. She can use the law of cosines to solve for the height of the goalpost.

Let "a" be the distance from the goalpost to the mirror, "b" be the distance from the mirror to Addison's eyes, and "c" be the distance from Addison's eyes to the ground.

The law of cosines states that: c^2 = a^2 + b^2 - 2ab * cos(C), where C is the angle formed by the goalpost, the mirror, and Addison's eyes.

In this case, a = 13.25 meters, b = 1.3 meters, and c = 1.55 meters. We can substitute these values into the formula to solve for the angle C:

1.55^2 = 13.25^2 + 1.3^2 - 2 * 13.25 * 1.3 * cos(C)

Solving for cos(C) and using the inverse cosine function (arccos), we find that C = 52.22 degrees.

Now that we know the angle C, we can use the law of sines to solve for the height of the goalpost. The law of sines states that:

sin(C) / a = sin(A) / h, where A is the angle formed by the ground, the mirror, and the goalpost, and h is the height of the goalpost.

In this case, A = 180 - C - 90 = 180 - 52.22 - 90 = 37.78 degrees, and a = 13.25 meters. We can substitute these values into the formula to solve for h:

sin(52.22) / 13.25 = sin(37.78) / h

Solving for h, we find that the height of the goalpost is approximately 10.48 meters.

Therefore, the height of the goalpost is approximately 10.48 meters.


Related Questions

Expectation of Product of Random Variables Proof From the definition of the expected value, the expected value of the product of two random variables is E(X . Y) = EErr-r2 . P(X=Y =r2) where the sum is over all possible values of r1 and r2 that the variable X and Y can take on_ Using the definition above formally prove that if the events X = r1 and Y =r2 are independent (for any r1 and r2) , we have E(X . Y) = E(X) . E(Y). Now; if you have two random variables X and Y and Y=aI+c, show that if E[X2] # E[XJ? , then E(X . Y) # E(X) . E(Y). If you roll a die 6 times in a rOW what is the expected value of the product of the 6 outcomes?

Answers

Look to the photo and you will find the answers there ✔️

start from left to right

-6x – 9y = 0
-24x = 36y
infinite
none
or one solution?

Answers

Answer:

No solution

Step-by-step explanation:

-6x - 9y = 0

-24x -36y = 0

Multiply the top equation by -4 and add that to the second equation

24x + 36y = -4

-24x - 36y = 0

0 + 0 = -4

0 ≠ -4  Since this is a false statement, the answer is no solution.

there are 250 bricks used to build a wall that is 15 ft high. how many bricks will be used to bui;d a wall that is 75 ft high

Answers

If 250 bricks are used to build a wall of 15 ft high then, there is total 1250 bricks will be used to build a wall that is 75 ft high.

Proportion:

A proportion is an equation between two ratios or rates that is useful in solving for a single unknown.

We have given that,

It takes 250 bricks to build a 15 ft high wall. Let us consider x bricks , is needed for a 75 ft high wall, use the ratio given for a 15 ft high wall and equate it to the ratio for the unknown number of bricks for a 75-ft high wall.

In making proportions, make sure that the rate on one side has the same units as the rate on the other as shown :

x/75 = 250/15

=> 15 × x = 250 ×75

=> x = 250×75/15

=> x = 1250

Thus, it will take 1250 bricks to build a wall 75 feet high.

To learn more about proportion , refer:

https://brainly.com/question/3371568

#SPJ4

Your friend thinks that the triangles shown below are congruent by SAS. Is your friend​ correct? Explain.
Choose the correct answer below.
A.
​Yes, the figure indicates that two corresponding angles and their included side are all congruent.
B.
​No, the congruent sides are not the included sides.
C.
​No, the congruent angles are not the included angles.
D.
​Yes, the figure indicates that three corresponding sides are congruent.
E.
​No, the figure only indicates that two corresponding sides are​ congruent, not three as required by the SAS Postulate.
F.
​Yes, the figure indicates that two corresponding sides and their included angle are all congruent.

Answers

​Yes, the figure indicates that two corresponding angles and their included side are all congruent. Option A

What is the congruency?

We know that the term congruency can be used to refer to the triangles that are equivalent. For the triangles that are equivalent, we can see that there are some kind of relationship that binds the triangles together.

The kinds of congruency of the triangles that we may have are the following;

Angle Angle side

Side angle side

Side side side

Angle Side angle

If we look at the triangles that we have in the two images that have been conspicuously attached to the question that we are trying to attend to, it is clear that two triangles have similar sides and a similar included angle hence they are congruent by the theorem of SAS.

Learn more about congruent triangles:https://brainly.com/question/12413243

#SPJ1

What is 5/11 * -11/6

Answers

To solve this expression, you can first simplify the fractions:

5/11 * -11/6 = (-5/6) * (-6/5)

Then, you can multiply the fractions:

(-5/6) * (-6/5) = (-30/30) = -1

So, the result of the expression is -1.

1. What is the area of the rectangle? Must show all work.
(7 points)

a. What is the formula for the area of the rectangle?


b. Find the length of the base. Round to the nearest tenth if needed.



c. Find the length of the height. Round to the nearest tenth if needed.




d. Find the area of the rectangle.

Answers

Answer:

a.  Area of rectangle: Length x Width or Base x height

b. The length of the base is 6

c. The height is 3

d. Area of the rectangle is 18

Step-by-step explanation:

a. Area of the rectangle formula is: L x W

b. We find the Length, which means we find the distance of the x; we see that to get from point A to point B the x change is 6, so the base is 6

c. We find the height, which means we find the distance of the y; we see that get from point B to point C, the y change by 3, so the height is 3

d. To find the area we take 6 times 3 = 18

Find the value of x in the triangle shown below.
8
3

Answers

Answer:

The answer should be 8.

Step-by-step explanation:

19. In Juneau, Alaska, the temperature on Tuesday at noon was -20°F. The temperature then
decreased 1.25°F each hour for the next 5 hours.
In Tacoma, WA, the temperature on Tuesday at 5:30 pm was 2/3 warmer than the temperature
recorded in Juneau, Alaska at the same moment in time.
What is the temperature in Tacoma, WA? Show your thinking.

Answers

The temperature at Tacoma WA is -26 5/12°F.

What is the temperature?

The temperature at 5pm in Juneau Alaska: temperature at noon + total change in temperature

-20 + (-1.25 x 5)

-20 - 6.25 = -26.25°F = -26 1/4°F

The temperature in Tacoma WA = termpature in Juneau + difference in temperature

-26 1/4°F - 2/3 = -26 5/12°F

To learn more about subtraction of fractions, please check: https://brainly.com/question/915789

#SPJ1

This is a two part question. For the first blank, type the letter associated with with
the correct graph of this system. For the second blank, type the correct solution to
the system in point notation: (x,y).
Let
f(x) = (x + 2)² +3
g( )=2x+6

Answers

Answer: c

Step-by-step explanation:

Which of the following ratios is used to determine one's debt-to-income? A. 20/28
B. 20/36
C. 28/30
D. 28/36

Answers

Answer:

d

Step-by-step explanation:

a survey of middle school students asked: what is your favorite winter sport? the results are summarized below. using these 545 students as the sample space, a student from this study is randomly selected. if the student selected is an 8th grade student, what is the probability that the student prefers skiing or ice-skating?

Answers

The probability that the chosen student, a grade 8 student, likes skiing over ice skating is 53.89%.

Given that,

A survey of middle school students asked what is your favorite winter sport so they have given the result in the table we can see.

Below is a summary of the findings. A participant from this study is chosen at random from among these 545 students, who serve as the sample space.

We have to find what is the probability that the chosen student, a grade 8 student, likes skiing over ice skating.

The total 8th grade are 180

The skiing are 171

The ice skating are 163

Probability = 180/(171+163) = 0.5389 = 53.89%

Therefore, the probability that the chosen student, a grade 8 student, likes skiing over ice skating is 53.89%.

To learn more about probability visit: https://brainly.com/question/11234923

#SPJ4

Select all the statements that are true for the graph shown. Submarines descent graph of a diagonal line on a coordinate plane going down and to the right with Time in seconds on the x-axis and Height above Sea Level in feet on the y-axis. The line begins at the origin and passes through point 4 comma negative 12.



The relationship is proportional.
The rate of change is −32
The rate of change is −83
The relationship is linear.

Answers

The correct option for the graph shown are-

The relationship is proportional.The relationship is linear.Explain the term proportional relation?Relationships across two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, each variable is consistently equal to the other's constant value.

The question's line traverses the origin and (4,-12).

The line's rate of change is;

m = -12 - 0 / 4 - 0

m = -3

The slope of the line or its rate of change is -3.

The line's equation is provided by;

y - 0 = -3(x - 0)

y = -3x

This relationship is linear as a result.

The relationship is proportionate if we take any value of x because there will only ever be one value of y.

Therefore, the following claims are accurate:

The relationship is proportional.The relationship is linear.

To know more about the proportional relation, here

https://brainly.com/question/2598881

#SPJ4

Solve for y

6/8 = 15/y

Answers

Answer:

The answer is 20

Step-by-step explanation:

6/8 = 15/y

(6) × y = (8) × (15)

6y = 120

6y/6 = 120/6

y = 20

Thus, The value of y is 20

Answer:

[tex] \sf \: y = 20[/tex]

Step-by-step explanation:

Given equation,

[tex] \sf \rightarrow \: \frac{6}{8} = \frac{15}{y} [/tex]

Now the value of y will be,

[tex] \sf \rightarrow \: \frac{6}{8} = \frac{15}{y} [/tex]

[tex] \sf \rightarrow \: 6y = 15 \times 8[/tex]

[tex] \sf \rightarrow \: 6y = 120[/tex]

[tex] \sf \rightarrow \: y = \frac{120}{6} [/tex]

[tex] \sf \rightarrow \boxed{ \sf y = 20}[/tex]

Hence, the value of y is 20.

which graph shows a polynomial function with a positive leading coefficient?

Answers

The graph shows a polynomial function with a positive leading coefficient B.

What is meant by polynomial function with a positive leading coefficient?

The function will reach its maximum value of + in the case of a positive leading coefficient and its minimum value of - in the case of a negative leading coefficient. This indicates that even degree polynomials with positive leading coefficients have a range of  [ymin, ∞), where ymin stands for the global minimum that the function reaches.

When a variable in an equation like the quadratic equation, cubic equation, etc. has only non-negative integer powers or only positive integer exponents, the function is said to be polynomial.

Leading coefficients are the values listed before the variable with the biggest exponent. They can be positive, negative, real, imaginary, whole, fractional, or decimal, much like conventional coefficients, and they can also be positive, negative, real, or imaginary.

Therefore, the correct answer is option B.

To learn more about polynomial function refer to:

https://brainly.com/question/2833285

#SPJ4

If point R is the greatest integer smaller than √51 on a number line, what is the value of point R?​

Answers

The value of R is 7 , we can find answer using concept of greatest integer and square root .

What is square root of a number ?

Square root , in mathematics , a factor of a number that , when multiplied by itself , returns the original number.

e.g. Square root of 9 are both 3 and -3.

Symbol = " √ "

In given que, we need to find greatest integer smaller than √51.

Root of 51 will not give exact integer value.

As we know root of 49 is 7 and root of 64 is 8.

And 51 lie between 49 and 64,

So, Square root of 51 will also lie between 7 and 8.

So, the greatest integer smaller than √51 will be 7.

Learn more about square roots using link :

https://brainly.com/question/3617398

#SPJ1

What are the zeros of the quadratic function whose graph is shown?
A. -3,2
B. 6
C. This cannot be determined from the information given
D. -2,3

Answers

On solving the provided question, the equation will be [tex]y^2 = - 4ax[/tex] and the factors - This cannot be determined from the information given

what is parabola?

When points on a curve are equally spaced from a fixed point and line, the curve is said to have a parabola as its equation. The parabola's fixed point is referred to as the focus, and its fixed line is referred to as the directrix. Remember that the fixed point is not on the fixed line as well. A parabola is the locus of any point that is equidistant from both a focus and a straight line. A conical curve of interest in coordinate geometry is a parabola.

The equation will be

=> [tex]y^2 = - 4ax[/tex]

=> [tex]y^2 = -24x[/tex]

Factors - This cannot be determined from the information given

To know more about parabola visit:

https://brainly.com/question/21685473

#SPJ1

if a carpenter wants to make sure that the corner of a room is square and measures 12 ft and 35 ft along the walls, how long should he make the diagonal?

Answers

On solving the provided question, we got to know that - carpenter should make the diagonals 37 ft

What are the diagonals?

A diagonal is a line connecting two vertices of a solid or polygon whose vertices do not share an edge in mathematics. The vertices of a shape are connected by oblique or sloping lines, which are known as diagonals. A horizontal shape with sides/edges, corners, and is called a diagonal.

We can answer this problem using Pythagoras' Theorem since the diagonal would turn the angle into a right angle.

[tex]12^2+35^2= d^2[/tex]

[tex]d^2 = 144 + 1225\\d^2 = 1369\\d = 37\\[/tex]

So, carpenter should make the diagonals 37 ft

To know more about diagonals visit:

https://brainly.com/question/12274248

#SPJ4

find the quotient and remainder when 6x^4+ 11x^3+13x^2 -3x+27 is divided by 3x+4. also check the remainder obtained by using the remainder theorem.

Answers

The division of 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 will have a quotient of 2x³ + x² +3x -5 and a remainder of 47 using the remainder theorem.

What is the remainder theorem

The remainder theorem states that if a polynomial say f(x) is divided by x - a, then the remainder is f(a).

We shall divide the 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 as follows;

x⁴ divided by 3x equals 2x³

3x + 4 multiplied by 2x³ equals 6x⁴ + 8x³

subtract 6x⁴ + 8x³ from 6x⁴ + 11x³ + 13x² - 3x + 27 will give us 3x³ + 13x² - 3x + 27

3x³ divided by 3x equals x²

3x + 4 multiplied by x² equals 3x³ + 4x²

subtract 3x³ + 4x² from 3x³ + 13x² - 3x + 27 will give us 9x² - 3x + 27

9x² divided by 3x equals 3x

3x + 4 multiplied by 3x equals 9x² + 12x

subtract 9x² + 12x from 9x² - 3x + 27 will give us -15x + 27

-15x divided by 3x equals -5

3x + 4 multiplied by -5 equals -15x - 20

subtract -15x - 20 from -15x + 27 will result to a remainder of 47

using the remainder theorem, x = -4/3 from the the divisor 3x + 4

thus:

f(-4/3) = 6(-4/3)⁴ + 11(-4/3)³ + 13(-4/3)² - 3(-4/3) + 27 {putting the value -4/3 for x}

f(-4/3) = (1536/81) - (704/27) + (208/9) + (12/3) + 27

f(-4/3) = (1536 - 2112 + 1872 + 324 + 2157)/81 {simplification by taking the LCM of the denominators}

f(-4/3) = (5919 - 2112)/81

f(-4/3) = 3807/81

f(-4/3) = 47

Therefore, the quotient of after the division of 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 is 2x³ + x² +3x -5 and there is the remainder of 47 using the remainder theorem.

Learn more about remainder theorem here:https://brainly.com/question/25289437

#SPJ1

please help asap! theres a picture below to help

Answers

The coefficient and constant in the system of linear equations are identified below

System of Linear Equation

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

In this question, we are given two equations to define the variables.

3x + 7y = 18 ...eq(i)

2x - 4y = 9 ..eq(ii)

In the equations above;

3 = The coefficient of x in the first equation7 = The coefficient of y in the first equation2 = The coefficient of x in the second equation-4 = The coefficient of y in the second equation18 = The constant in the first equation9 = The constant in the second equation

Learn more on system of linear equation here;

https://brainly.com/question/13729904

#SPJ1

Find the probability of getting a tail on a coin and 4 on the dice, when a coin is tossed and a dice is thrown simultaneously​

Answers

Answer:  1/2Because:

P(tail) = Probability of getting a tail on the coin

P(tail)=1/2

P(4)=Probability of getting the number '4' on the dice.

P(4)=1/6

P(tail and 4)=Probability of getting tail on the coin and number '4' on the dice.

P(tail and 4)=p(tail multiply with 4)

P(tail and 4)= 1/2×1/6

P(trail and 4)=1/12

Hope this helps!

the formula would be used to find a) the first quartile of a data set using the inclusive method. b) the third quartile of a data set using the exclusive method. c) the first quartile of a data set using the exclusive method. d) the median of a data set using the inclusive method.

Answers

The given formula would be used to find the first quartile of a data set using the exclusive method.

What is quartile?

A quartile is a type of quantile used in statistics that divides the total number of data points into four roughly equal parts, or quarters. To compute quartiles, the data must be arranged from smallest to largest; therefore, quartiles are a type of order statistic.

The given formula is [tex]L_P = (n + 1)\frac{25}{100} \\[/tex]

This formula can also be written as,

[tex]R = (n + 1)\frac{25}{100}[/tex]

where 25 is the percentile of the data set.

So, the option (c) is correct.

The first quartile of a data set using the exclusive method.

Hence, the given formula would be used to find the first quartile of a data set using the exclusive method.

To know more about quartile, click on the link

https://brainly.com/question/28169373

#SPJ1

according to the video, what percentage of your brain is dedicated to decoding images? group of answer choices 23% 18% 40% 30%

Answers

The movie claims that 40% of your brain is used for visual decoding.

Williams, the William G. Allyn Professor of Medical Optics, notes that processing visual information takes up more than 40% of the cortex, the surface of the brain.

Light and dark pixels in the eye are where our visual experience begins. These signals are sent to the V1 region in the rear of the brain, where they are changed to match to the borders of visual scenes.

The visual cortex processes information from the sensory periphery in accordance with a highly regulated hierarchy, according to experiments utilizing static stimuli, such as images. The information about visual sceneries is subsequently translated by deeper brain areas into more intricate forms, objects, and ideas.

To learn more about visual decoding

https://brainly.com/question/28046762

#SPJ4

A sports drinks recipe calls for 2 tablespoons of powder mix for every 12 ounces of water. how many can you make with 6 tablespoon and 36 ounces of water explain.

Answers

Answer: 3 sports drinks

Step-by-step explanation:

6 divde by 2= 3

36 divided by 12 =3

in other words

3x2=6

12x3=36

hope this helps

How to factor x^2-2x

Answers

Answer:

x(x-2)

Step-by-step explanation:

Find the area enclosed by the circle (x-2)^2 + y^2 = 4 and the line x = 3.

Answers

Step-by-step explanation:

(3-2)^2+y^2=4

(9-4)+y^2=2^2

the power of y and 2 should be cut now

5+y=2

5-2=y

3=y

y=3

:. the area of enclosed by a circle is 3 cm

Refer to the photo attached.

Geometry-need help i dont get it

Answers

Answer:

z = 11

Step-by-step explanation:

To find the answer we need to set up an expression with the two values they gave us:

8z = z + 77

This works because side IJ is the same length as side JK. So, all we have to do is solve for z:

8z = z + 77

-z    - z

7z = 77

/7     /7

z = 11

determine which integers will make the inequailty 5x 6 < 2x 15 flase

Answers

The value of x (B) 5 makes the inequality 5x + 6 ≤ 2x + 15 FALSE.

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

The equal sign (=) indicates that two expressions in an equation are believed to be equivalent.

The symbols >, <, ≤ or ≥ indicate that the two expressions in inequality are not always equal.

So,  we have the inequality:

5x + 6 ≤ 2x + 15

Now put the given values and check as follows:

(A) -2

5x + 6 ≤ 2x + 15

-10 + 6 ≤ -4 + 15

-4 ≤ 11

TRUE

(B) 5

5x + 6 ≤ 2x + 15

25 + 6 ≤ 10 + 15

31 ≤ 25

Correct: 31 > 25

FALSE

Therefore, the value of x (B) 5 makes the inequality FALSE.

Know more about inequality here:

https://brainly.com/question/28964520

#SPJ4

Complete question:
Determine which integer will make the inequality 5x + 6 ≤ 2x + 15 false.

a:{−2}

b:{5}

c:{2}

d:{−5}

What is the measure of ABC

Answers

Answer:

Step-by-step explanation:

find x

7x+10=2x+40+3x

2x=30

x=15

ABD = 7(15)+10 = 115

ABD + ABC =180

115+ABC=180

ABC=65

The function h is defined by h (x) = 5x + 2 .

What is the value of h(8) ?
Responses

A) 30
B) 42
C) 38
D) 45

Answers

Answer:

Option B is the correct answer

Step-by-step explanation:

h(x) = 5x + 2, h(8)

h(8) = 5(8) + 2

h(8) = 40 + 2

h(8) = 42

Thus, The answer is 42

5x+2y-2z=-57
3x-10y-z=-11
Y=-2

Answers

First up is 5x+2y-2z=-57

5x+2y-2z=-57 /You gotta subtract 27 and 2z from both sides

5x+2y-2z- (2y-2z)=-57- (2y-2z) Then simplify-5x =-57-2y+2z

Then divide by both sides:

Answer is: x=-57-2y+2z / over 5

               

             

Other Questions
Which method is recommended for climbing a tree to enter an elevated stand?free climbingusing a free rope attached to the standusing a free-standing ladderusing a fall-arrest system (safety harness) You are in charge of drinks at the graduation dinner and the people want carbonated root beer. You come up with the ingenious idea of freezing a100 kgblock of dry ice on the end of a spring and immersing the spring-mass system in a large vat containing the root beer. You pull the dry ice down 1 meter and let it go. The dry ice melts so that the mass of dry ice, as a function of time, is given bym(t)=100 21twheretis in minutes. The friction coefficient is 1 and the spring constant increases as the spring gets cold, so it is given byk(t)=2t+1. a. Create an IVP which models this situation. b. Derive the power series solution to the IVP. c. What is the position of the dry ice after 1 minute? If your answer is approximate, explain how far off you believe you are from the true value and why. d. Sketch the graph of the motion of the dry ice for the first few minutes. Explain how you got your graph and for how many minutes you believe the graph is reasonably accurate. Explain how you came up with the number of minutes. A class or type of criminal conduct that has solely economic gain to the criminal as its goal is known asa. white collar crimeb. racketeeringc. wire fraudd. bank fraud a 0.50-kg mass is attached to a spring of spring constant 20 n/m along a horizontal, frictionless surface. the object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. what is the amplitude of vibration? Which of the following is (are) the main organ(s) responsible for adjusting blood pH in terrestrial animals?a. Lungsb. Kidneysc. Liverd. Both a and be. All of the above the inducible operon regulates pathways and repressible operon regulates pathways. a) glycolysis.......krebs cycle b) substrate level......oxidative phosphorylation c) anabolic.....catabolic d) catabolic....anabolic e) endergonic....exergonic a nonprofit organization sells chances for a $50,000 classic mustang at $100 per ticket. it sells 1500 tickets and offers four prizes, summarized in the table. what are the expected winnings (or loss) for each ticket? (round your answer to the nearest cent.) as temperature decreases the fraction of the total number of atoms that are capable of diffusive motion idea addressed concerns about braille use which is summarized in all the following statements except___ a monopsony, as compared to a perfectly competitive firm, pays___ wage and hires___ labor. In one paragraph explain how the United States has been influenced by other nations you are the systems administrator for a marketing firm. you have users based all over the world. many of the users connect to the internet using a cellular connection. one of your users, suzie, calls you stating that she did not get the latest windows feature update you informed everyone to look out for last week. you have suzie check for updates and the update is listed but will not download. which of the following would most likely fix this issue? Jimena purchased $24 worth of crafting supplies. The tax rate in her city is 6.25%. What is the total cost of the crafting supplies? the photograph shows a road sign in the republic of ireland which of the following best describes the sign's significane within the cultural landcaps below is a list of 64-bit memory address references: 0xdf, 0xe7, 0x2c, 0xe7, 0xe2, 0x1e, 0x4c, 0xdf, 0xfa, 0xf0, 0x2d, 0xfe assume a direct mapped cache with 16 one-word blocks is used. for each of those references, identify the binary word address, the tag, the byte offset, and the index. also list whether each reference is a hit or a miss, assuming the cache is initially empty. select 4 to 8 key metrics that matter to your target customers in their buying decisions. Which of the following is necessary in a well-functioning market or capitalist economy, but is not necessary for a command economy?A. Centralized decision makingB. Scarcity of resourcesC. MonopoliesD. Protection of property rights and price signalsE. Positive externalities if the volume of the gas sample is decreased to 19.1 l holding the temperature constant, the number of molecule-wall collisions per unit area per unit time will antitrust laws allow the government to a. collect revenues through the antitrust tax. b. break up companies. c. purchase privately-held companies through eminent domain. d. all of the above are correct. 1. PART A: Which of the following best statesone of the central ideas of this article?A. The gods and goddesses of Greekmythology were created to teachhumans to satisfy their individual needs. B. Greek mythology celebrated thegreatness of individual human beings,using myths of humans defeating godsand goddesses.O C. Greek mythology reflected how theworld and human beings operated,teaching morality along the way. D. The gods and goddesses of Greekmythology are evil deities that commithorrific acts to teach humans to seekrevenge when they are wronged