The tile pattern shown was used in Pompeii for paving. If the diagonals of each rhombus are 2 inches & 3 inches, what area makes up each cube in the pattern?

Answers

Answer 1
The tile in Pompeii shows that there are 3 shapes of rhombus in one cube.
A ( rhombus ) = d1 * d2 / 2
d1 = 2 in,  d2 = 3 in.
A ( rhombus ) = 2 * 3 / 2 = 3 in²
Finally:  3 * 3 = 9 in²
Answer: Area of each cube in the pattern is 9 in².

Related Questions

how to make d the subject of V=ldh

Answers

d is being multiplied by l and h to isolate easily we can divide by lh on either side resulting in the answer equation:  (V/lh)=d
V=ldh
d = V / lh

hope that helps

Write a recursive formula for 16, 9, 7, 2, 5

Answers

Notice that:

7=16-9
2=9-7
5=7-2

the next term would be: 2-5=-3

so each term of the sequence is equal to its previous term, subtracted from the second previous term:

Also, in order to describe the formula, we need to express the 2 first terms, 1 is not enough.

The recursive formula is:

[tex]a_1=16[/tex]
[tex]a_2=9[/tex]
 [tex]a_n_2=a_n_1-a_n[/tex]

Maureen is taking an antibiotic. The table below shows the amount of antibiotic f(t), in mg, that was present in her body after time t:


t (hours) 1 2 3 4 5
f(t) (mg) 150 90 54 32.4 19.4


Ken was administered 200 mg of the same antibiotic. The amount of antibiotic f(t) in his body after time t is shown by the equation below:

f(t) = 200(0.976)t

Which statement best describes the rate at which Maureen's and Ken's bodies eliminated the antibiotic?
Maureen's body eliminated the antibiotic faster than Ken's body.
Maureen's body eliminated the antibiotic at the same rate as Ken's body.
Maureen's body eliminated the antibiotic at half of the rate at which Ken's body eliminated the antibiotic.
Maureen's body eliminated the antibiotic at one-fourth of the rate at which Ken's body eliminated the antibiotic.

Answers

One way to test this is by using the equation for Ken on Maureen. Let's say in the first hour,

f(t) = 200(0.976)^1 = 195.2 mg

In the second hour,

f(t) = 200(0.976)^2 = 190.52 mg

In the third hour,

f(t) = 200(0.976)^3 = 186 mg

If you compare this with Maureen's data which is 150, 90 and 54 for the first, second and third hour, respectively, you will see that Maureen's rate is much faster. However, you cannot tell by what factor because the function is exponential, not a multiple. There is no constant difference between their rates. Therefore, we only know that Maureen's rate is much faster.

The answer is Maureen's body eliminated the antibiotic faster than Ken's body.

Answer:

(A)Maureen's body eliminated the antibiotic faster than Kens body

Step-by-step explanation:

We already have the table for Maureen, so lets figure out the table for Ken. We've been given the formula  200(0.976)^t.

we already know our starting point is 0, 200

first we substitute 1 into t, which would look like this 200(0.976)^1

So we would solve the power of 0.976 to the power of 1, which is just 0.976. so now we do 200 x 0.976 which results in 195.2. on the chart, the point would be (1, 195.2). now lets solve for the rest doing the same steps.

(2, 1905.5)

(3, 181.4)

(4, 135.5)

(5, 01.9)

Three bags of of potatoes and four cases of corn cost $40. Five bags of potatoes and two cases Of corn cost $34. Find the cost of one bag of potatoes and the cost of one case of corn. Show your work

Answers

P = potato C = corn

3P + 4C = $40
5P + 2C = $34

Multiply -2 to the 2nd equation to get
-10P - 4C = -68

Add it to the 1st equation

3P + 4C = 40
-10P - 4C = -68
-----------------------
-7P = -28

Solve for P
P = $4

Substitute 4 into P(potato) to find what C(corn) is

The sum of two numbers is 47 and the difference is 25 . what are the numbers?

Answers

The numbers are:  36 and 11 .
______________________________________________
Explanation:
______________________________________________
Let us represent the TWO (2) numbers with the variables;
         "x" and "y" .
__________________________________________
     x + y = 47 .

     y − x = 25.
__________________________________________
Since:  " y − x = 25 " ;

Solve for "y" in terms of "x" ;

  y − x = 25  ;

Add "x" to each side of the equation:
_____________________________________________
   y − x + x  = 25 + x  ;

to get:

   y = 25 + x .

Now, since:

  x + y = 47 ;

Plug in "(25 + x)" as a substitution for "y"; to solve for "x" :

x + (25 + x) = 47  ;

x + 25 + x + 47 ;

2x + 25 = 47 ;

Subtract "25" from each side of the equation:

2x + 25 − 25 = 47 − 25 ;

2x  = 22  ;

Divide EACH SIDE of the equation by "2" ;
 to isolate "x" on one side of the equation; and to solve for "x" ; 
 
2x / 2 = 22 / 2 ;

    x = 11 ;
______________________________________________
x + y = 47 ;

Plug in "11" for "x" into the equation ; to solve for "y" ;

11 + y = 47 ;

Subtract "11" from EACH SIDE of the equation;
  to isolate "y" on one side of the equation; and to solve for "y" ;

 11 + y − 11 =  47 − 11  ;

            y = 36 .
___________________________________________
So:  x = 11 , y = 36 ;
___________________________________________
 Let us check our work:

y − x = 25 ;

36 − 11 =? 25 ?  Yes!

x + y = 47 ;

36 + 11 =? 47 ? Yes!
______________________________________________
The numbers are:  36 and 11 .
______________________________________________

In the above figure, AE = 2, CE = 3, and DE = 4. What is the length of BE?

Answers

BE= 6. I had this question not too long ago. Hope this helps. :)

Answer:

its 6 i think

Explanation:

if you have the choices 6, 8, 12, 5.. then 6 is ur answer. why?

well u do CE x DE = AE x BE

(3)(4)= (2)(BE)

12=2x

12÷2= 6

What is 3y+5x=-15 written in slope-intercept form

Answers

Slope-intercept form is y=mx+b, so we simply have to solve for y...

3y+5x=-15  subtract 5x from both sides

3y=-5x-15  divide both sides by 3

y=-5x/3-5  or more neatly in my opinion...

y=(-5x-15)/3

hey broskey your answer is option B :)

The legs of a right triangle have lengths of 3 and 4. What is the length, to the nearest tenth, of the altitude to the hypotenuse?

Answers

a² + b² = c²
9 + 16 = c²
25 = c²
5 = c
The lenght of the hypotenuse is 5

What is the length of x-component of v?

Answers

length of x-component of v = 2

answer is B. 2

help please

Given the vertices of ∆ABC are A (2,5), B (4,6) and C (3,1), find the vertices following each of the transformations FROM THE ORIGINAL vertices:
a. Rx-axis
b. Ry = 3
c. T<-2,5>
d. T<3,-6>
e. r(90◦, o)

Answers

Given the vertices of a triangle as A(2, 5), B(4, 6) and C(3, 1).

a.) A transformation, R_x-axis means that the vertices of the rectangle were reflected across the x-axis.
When a point on the coordinate axis is refrected across the x-axis, the sign of the y-coordinate of the point changes.
Therefore, the vertices of the triangle A'B'C' resulting from the transformation of triangle with vertices A(2, 5), B(4, 6) and C(3, 1) with the rule R_x-axis are A'(2, -5), B'(4, -6), C'(3, -1)

b.) A transformation, R_y = 3 means that the vertices of the rectangle were reflected across the line y = 3.
When a point on the coordinate axis is refrected across the a horizontal line, the distance of the point from the line is equal to the distance of the image of the point from the line.
Therefore, the vertices of the triangle A'B'C' resulting from the transformation of triangle with vertices A(2, 5), B(4, 6) and C(3, 1) with the rule are A'(2, 1), B'(4, 0), C'(3, 5)

c.) A transformation, T<-2, 5> means that the vertices of the rectangle were shifted 2 units to the left and 5 units up.
Therefore, the vertices of the triangle A'B'C' resulting from the transformation of triangle with vertices A(2, 5), B(4, 6) and C(3, 1) with the rule T<-2, 5> are A'(0, 10), B'(2, 11), C'(1, 6).

d.) A transformation, T<3, -6> means that the vertices of the rectangle were shifted 3 units to the right and 6 units down.
Therefore, the vertices of the triangle A'B'C' resulting from the transformation of triangle with vertices A(2, 5), B(4, 6) and C(3, 1) with the rule T<3, -6> are A'(5, -1), B'(7, 0), C'(6, -5).

e.) A transformation, r(90°, o) means that the vertices of the rectangle were rotated 90° to the right about the origin.
When a point on the coordinate axis is rotated about the origin b 90°, the quadrant of the point changes to the right with the x-value and the y-value of the point interchanging.
Therefore, the vertices of the triangle A'B'C' resulting from the transformation of triangle with vertices A(2, 5), B(4, 6) and C(3, 1) with the rule r(90°, o) are A'(5, -2), B'(6, -4), C'(1, -3)

Answer with explanation:

Vertices of ∆ABC are A (2,5), B (4,6) and C (3,1).

Plotting the points on coordinate plane

a.→ [tex]R_{x}[/tex]

   We have to find vertices of image , that is ΔA'B'C' when ∆ABC is reflected across x axis.

The Distance from each of the vertices of ∆ABC from X axis will be same as Perpendicular distance from each of vertices of ∆A'B'C' from X axis.

Result is shown in the image 1.

b.→[tex]R_{y}=3[/tex]

We have to find the image of vertices of triangle through line, y=3.

The Distance from each of the vertices of ∆ABC from line,y=3  will be same as Perpendicular distance from each of vertices of ∆A'B'C' from line, y=3.

Result is shown in the image 2.

c. →T(-2,5)

Translation of vertices of triangle ABC by 2 units left and 5 units up.

[tex]A(2,5)_{-2,5} \rightarrow (2-2,5+5)\rightarrow (0,10)\\\\B(4,6)_{-2,5} \rightarrow (4-2,6+5)\rightarrow (2,11),\\\\C(3,1)_{-2,5} \rightarrow (3-2,1+5)\rightarrow (1,6)[/tex]

d.→T(3,-6)

Translation of vertices of triangle ABC by 3 units right and 6 units left.

[tex]A(2,5)_{3,-6} \rightarrow (2+3,5-6)\rightarrow (5,-1)\\\\B(4,6)_{3,-6} \rightarrow (4+3,6-6)\rightarrow (7,0),\\\\C(3,1)_{3,-6} \rightarrow (3+3,1-6)\rightarrow (6,-5)[/tex]

e.→Rotation by 90° with respect to Origin

When rotated in clockwise direction ,vertices of ΔABC changes by the rule ,that is (x,y)→(y,-x) and in anticlockwise direction ,(x,y)→(-y,x).

In clockwise direction

A(2,5)→A"(5,-2)

B(4,6)→B"(6,-4)

C(3,1)→C"(1,-3)

In Anti clockwise direction

A(2,5)→A'(-5,2)

B(4,6)→B'(-6,4)

C(3,1)→C'(-1,3)

Image is depicted below.

The width of a rectangular poster is its length.the area of the poster is 128 square feet what is the width of the poster

Answers

since the length and width are the same, it is actually a square

 area of a square is S^2

 sqrt(128) = 11.3137

round off as needed

Compare 9 ⋅ 104 to 3 ⋅ 102.

9 ⋅ 104 is 3 times larger than 3 ⋅ 102.
9 ⋅ 104 is 30 times larger than 3 ⋅ 102.
9 ⋅ 104 is 300 times larger than 3 ⋅ 102.
9 ⋅ 104 is 3,000 times larger than 3 ⋅ 102.

Answers

9×10⁴ is 300 times greater than 3×10²
as, (9×10⁴)/(3×10²)=3× 10²
and the proper of writting powers in computer form is a×10^b

Answer:

9×10⁴ is 300 times greater than 3×10²

Step-by-step explanation:

guy above me's work. thanks to him we get this answer :)

William can run 5 laps in 9 2/3 minutes. If one lap is 2/5 of mile how fast is William running in miles per minute?

Answers

I better get some kind of special treatment for solving this one. First of all is William related to Barry Allen in any way? My mans william is running 2 miles in 9 2/3 minutes and he's running 1 mile in  4 5/6! William is running .21 miles per minute. This wasn't worth it for 5 points... 

Final Answer ( 0.21 miles per minute) 

A yogurt with 1 topping is sold for $3.65. Additional toppings can be added for $0.45 cents each. If y represents the total cost and x represents the total number of toppings added, which function rule describes this pattern? A. y=0.45x+3.65 B. y=3.65+0.45(x-1) C.y=3.65+0.45(x+1) D.3.65(x-1)+0.45

Answers

since the 3.65 price includes 1 topping when you calculate the cost of the additional toppings it would be x-1

 so the equation would be y=3.65 +0.45(x-1)

What is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? y − 5 = −3(x + 2) y − 5 = 3(x + 2) y − 11 = −3(x − 2) y − 11 = −3(x + 2)

Answers

hello : 

Hello : let  A(0,5)    B(-2,11)
the slope is :   (YB - YA)/(XB -XA)
(11-5)/(-2-0)  = 6/(-2)
the slope is : -3

the equation in point-slope form of the line is : y-11 = -3(x+2)

Answer: [tex]y-11=-3(x+2)[/tex]


Step-by-step explanation:

Given points :  (0, 5) and (−2, 11)

Slope of the line passing through given points .

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{11-5}{-2-0}=\frac{6}{-2}=-3[/tex]

Thus, slope of line passing through given points m=-3

We know that the equation of a line passing through points [tex](x_0,y_0)[/tex] with slope 'm' is [tex](y-y_0)=m(x-x_0)[/tex]

Thus, equation of a line passing through (−2, 11) with slope m=-3 will be

[tex](y-11)=(-3)(x-(-2))\\\Rightarrow\ y-11=-3(x+2)[/tex]

Hence, the equation of line is [tex]y-11=-3(x+2)[/tex]

*WILL GIVE BRAINLIEST* (08.03)Consider the following set of equations:

Equation C: y = 2x + 8
Equation D: y = 2x + 2

Which of the following best describes the solution to the given set of equations?
No solution
One solution
Two solutions
Infinite solutions

Answers

Answer:

No solution

Step-by-step explanation:

This is because either way you do it it still doesnt make any sense and doesent line up correctly. THis is high school workand im doing it in 8th grade


Answer:

no solution

Step-by-step explanation:

because it just is

What value of x makes the denominator of the function equal zero? y= 4/3x-33

Answers

3x - 33 = 0
3x = 33
x = 11

answer is 11

Answer: 11 is your answer

Step-by-step explanation:

The square root of 32, expressed in terms of a simple radical is

Answers

see attached picture for answer:

What is the area of the sector bound by the center of the circle and arc CD in the circle below? Radius is 6 ft and central angle is 30 degrees.

Answers

The answer is 9.42 for the ones wondernig what it was! I calculated it and took the exam and it was correct.

To the nearest degree what is the measure of each exterior angle of a regular octagon

Answers

Each exterior angle = each central angle = 360 / #of sides.
Each exterior angle = 360 / 8
Each exterior angle = 45 degrees



Answer:

The measure of exterior angle of regular octagon is 45°

Step-by-step explanation:

Given the regular octagon we have to find the measure of exterior angle of regular octagon.

The formula to find the measure of exterior angle of regular octagon is

[tex]\frac{360}{n}[/tex]

where n is number of sides.

Number of sides in octagon=8 sides

Hence, the measure of exterior angle is

[tex]\frac{360}{8}=45^\circ}[/tex]

2, -4, 8, -16, . . . find the next two numbers in the pattern and describe the pattern.

Answers

the next numbers are 32 and -64 the pattern multiplies by -2

An athlete eats 45g of protein per day while training. How much protein will she eat during 25 days of training?

Answers

1125g of protein an athlete will be eating

What would be the point of discontinuity in the following function f(x)=x^2+5x+6/x+3

Answers

The point of discontinuity can be easily detected when you see the face of the graph. If it contains any breaks, there are points of discontinuity. You can determine this analytically if when you substitute x to the equation, the answer would be undefined. Undefined numbers are ∞-∞, 0/0, 0×∞, 0^0, 1^∞ or any number divided by zero. 

For the expression f(x)=x^2+5x+6/x+3, you see that there is a term 6/x. Therefore, the expression can be continuous when x=0 because 6/0 or any number divided by zero is undefined. To verify this, let's see the graph by assigning values of x and plotting them against their values of y. As you can see, the curves only approach zero but never touches zero. These are called asymptotes.

Solve by taking square roots: x^2 - 40 = 9

Answers

To solve for x^2 - 40 = 9, take the square roots of both sides and solve.
The answer is x = 7, -7.
[tex] x^{2} -40= 9[/tex]

[tex] x^{2} = 49[/tex]

[tex] \sqrt{ x^{2} } = \sqrt{49} [/tex]

x = +7 or -7

Which of the following sets represents the range of the function shown?

{(−3, 4), (5, 11), (9, −1), (10, 13)} (5 points)


{−3, 5, 9, 10}
{−1, 4, 11, 13}
{(4, −3), (11, 5), (−1, 9), (13, 10)}
{−3, −1, 4, 5, 9, 10, 11, 13}

Answers

{−1, 4, 11, 13}
................................

Answer:

it's B guys

Step-by-step explanation:

In △ABC , m∠A=53°,m∠B=17°, and a=27. Find the perimeter of the triangle.

Answers

Using the Law of Sines  (sinA/a=sinB/b=sinC/c) and the fact that all triangles have a sum of 180° for their angles.

The third angle is C is 180-53-17=110°

27/sin53=b/sin17=c/sin110

b=27sin17/sin53, c=27sin110/sin53

And the perimeter is a+b+c so

p=27+27sin17/sin53+27sin110/sin53 units

p≈68.65 units  (to nearest hundredth of a unit)

Answer:

69

Step-by-step explanation:

I got it correct on founders edtell

What are the possible values of x in x2 + 3x + 3 = 0?

Answers

I'm assuming that that is a quadratic equation:
[tex] x^{2} +3x+3=0[/tex]
The only way to solve this is to use the quadratic formula. When you do that you get a negative number under the square root sign which we all know is illegal, UNLESS you factor out the imaginary "i". So your roots would be this:
[tex]x= \frac{-3+ \sqrt{3}i }{2} ,x= \frac{-3- \sqrt{3}i }{2} [/tex]

(14 + 13) + 2 = 29 Choose an equivalent addition sentence that shows the associative property of addition. 29 = (14 + 13) + 2 (14 + 13) + 2 = 29 14 + (13 + 2) = 29 14 + 13 + 2 = 29

Answers

Final answer:

An equivalent addition sentence showing the associative property of addition in the given example is 14 + (13 + 2) = 29, where the grouping changes but the sum remains the same, rooted in the commutative property of addition.

Explanation:

The question is about the associative property of addition which essentially states that when you add three or more numbers, the way in which you group them doesn't affect the sum. To illustrate with the given example $(14 + 13) + 2 = 29$, an equivalent sentence that demonstrates the associative property would be 14 + (13 + 2) = 29. Here, the grouping has changed, but the resulting sum remains the same. The reason this works is due to the commutative property of addition which tells us that changing the order of the numbers we're adding doesn't change the sum, expressed as A + B = B + A. This universality is showcased by the idea that regardless of 'real-world context' or 'complexity of calculation', the same rules apply.

If the ratio of the sides of two similar prisms is 3:5 and the volume of the first prism is 54, what is the volume of the second prism?

Answers

[tex]\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &Sides&Area&Volume\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array} \\\\ -----------------------------\\\\[/tex]

[tex]\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ \cfrac{smaller}{larger}\qquad \cfrac{s^3}{s^3}=\cfrac{\textit{volume of smaller}}{\textit{volume of larger}}\implies \cfrac{3^3}{5^3}=\cfrac{54}{v} \\\\\\ v=\cfrac{5^3\cdot 54}{3^3}[/tex]

Write an inequality for the situation.

all real numbers y that are less than –3 or greater than 18

A) y < –3 or y < 18
B) y < 18 or y > –3
C) –3 < y < 18
D) y < –3 or y > 18

Answers

The answer is D. The numbers for y have to be less than -3, which is shown using the less than sign, and they also have to be greater than 18, which is shown with the greater than sign. 
All real numbers y that are less than -3 means that the values of y need to be less than -3 so;
y<-3.
Next, it is greater than 18 which means the value of y is greater than 18;
y>18
Also, this is known as the compound inequality which you could write as: 1818. In conclusion, D is the only correct answer. Have a nice day!
Other Questions
Write the set of points greater than or equal to 55 but strictly less than 44, excluding 00, as a union of two intervals (if you're having trouble with this, try drawing a number line): Daniella wrote the equation shown to represent four less than 3.7 times a number is 11.9. 4n (3.7) = 11.9 Explain her error, include the correct equation in your response. Stanley Milgram is the social psychologist who conducted studies to ? CH4(g) + H2O(g) mc004-1.jpg CO(g) + 3H2(g) What will happen to the equilibrium of this reaction if CO is added to the system? Keisha has been asked to give a presentation about a new method for processing customer returns. the first thing she should do isa. develop an outline of the points she wants to cover in her presentation.b. prepare the visual aids she will use in delivering the presentation.c. determine the purpose of her presentation.d. write the text of her presentation. Attributing human characteristics to inanimate objects hyperbole 2. blatant exaggeration irony 3. discrepancy between what is said and what is meant simile 4. comparison without like or as personification 5. comparison using like or as metaphor The sides of a triangle are in the ratio 5:12:13. what is the length of each side of the triangle if the perimeter of the triangke is 15 inches What is the degree of each monomial -9 Bella made a drawing of her rectangular bedroom with the scale of 1 inch = 3 feet. The drawing was 6 inches long by 4 inches wide. What are the dimensions of Bella's room? What is the actual area? Show your work. A data center is a climate-controlled building or set of buildings that houses the ____ that store and deliver mission-critical information and services. What does 6 mean in math an arc that lies between the two sides of a cental angle is called a_____.A. minor arcB. major arcC. semicircle Which of the following provides the most accurate statement about Esperanza's impression of Earl's activities?A.Her intuition is proven correct when Earl admits he is entertaining single women.B.Because of his accent, Esperanza figures out that Earl is from the south.C.Her childlike innocence is reflected when she thinks that the women who come to visit him are all his wife.D.Because the blinds are always closed, Esperanza distrusts anything Earl does. In her persuasive speech, martha spoke about the possibility of dirty nuclear weapons being used against the united states by iraq, iran, and north korea. she challenged her audience to monitor senate hearings on the problem and to get involved by writing or emailing their legislators. what form of motivation did martha successfully employ in her speech? Which is the best description of the skin senses? According to the constitution, which of these is not an explicit authority of the president? In the early 1900s, japan and the united states shared: Which main group supported Mussolini's effort to overthrow the government in Italy I REALLY NEED HELP ON THESE EQUATIONS THE LAST PIC AND THIS ONE PLEASEEE IM IN DANGER OF FAILING When considering quantitative data, it is always numeric always nonnumeric may be either numeric or nonnumeric are always labels? Steam Workshop Downloader