Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide.

Step-by-step explanation:

You can use the Pick's theorem:

[tex]A=i+\dfrac{b}{2}-1[/tex]

where

i - number of lattice points in the interior located in the polygon

b - number of lattice points on the boundary placed on the polygon's perimeter

[tex]1.\\i= 5;\ b=12\\\\A=5+\dfrac{12}{2}-1=5+6-1=10\\\\2.\\i=3;\ b=4\\\\A=3+\dfrac{4}{2}-1=3+2-1=4\\\\3.\\i=5;\ b=10\\\\A=5+\dfrac{10}{2}-1=5+5-1=9[/tex]

Answer:

Of course, the Pick's theorem is the way to solve this question, but consider:

Another approach is using topography:

Gauss's Area Calculation Formula:

[tex]$A=\frac{1}{2} \sum_{i=1}^{n} (x_{i} \cdot y_{i+1}-y_{i} \cdot x_{i+1})$[/tex]

Taking the purple one:

We have 6 points. I will name them:

[tex]A(0, 4);B(0, 0);C(1, 1);D(4, 0);E(4, 4);F(1, 2);[/tex]

[tex]$D=\begin{vmatrix}0& 0& 1 & 4& 4 & 1 & 0\\ 4& 0 & 1 & 0& 4 & 2 & 4 \end{vmatrix}$[/tex]

[tex]D=28-8=20[/tex]

[tex]$A=\frac{20}{2} =10$[/tex]

Answer:

C

Step-by-step explanation:

8/50= 0.16

Answer:

C = 8/50 = 0.16 * 100 = 16

Step-by-step explanation:

Answer:

[tex]x=\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]10x-3-2x=4[/tex]

First, collect and rearrange the like terms.

[tex]10x-3-2x=4[/tex]

[tex]8x-3=4[/tex]

[tex]8x=4+3[/tex]

Then, solve the equation:

[tex]8x=4+3[/tex]

[tex]8x=7[/tex]

[tex]x=\frac{7}{8}[/tex]

So, the answer is [tex]x=\frac{7}{8}[/tex]. Hope my solution and explanation can help you. Thank you!

If you still cannot get the point, you can ask me anytime.

Answer:

x=7/8

Step-by-step explanation:

10x-3-2x=4

collect like term

8x-3=4

move constant to the right-hand side and change its sign

8x-3=4 into 8x=4+3

add up the number : 8x=4+3

8x=7 divide both sides of the equation by 8

x = 7/8

Answer:

0.84+122.4x is your answer. hope this helped

Step-by-step explanation:

Answer:

Hey there!

We have the absolute value of x is greater than two.

Thus, to solve absolute value inequalities, we want to break the inequality down.

We break this down to

x>2

x<-2

Thus, we don't need to simplify this any further, and have our answer.

Hope this helps :)

Answer:

x >= 2 or x <= -2

Step-by-step explanation:

|x|>= 2

Means the absolute value of x is greater than or equal to two.

When we deal with absolute value, we can equivalently break into two cases

+x >= 2    => x >= 2

-x >= 2    =>  x <= -2

On the number line it looks like what is shown in the attached figure.    

Answer:

11

Step-by-step explanation:

You just add all the numbers and divide by the amount of numbers.

So its the sum divided by the amount of numbers added up.

Answer:

b) 1, -4, 6

Step-by-step explanation:

(x-y)^4=

(x-y)(x-y)(x-y)(x-y)=

(x^2-xy-xy-y^2)(x^2-xy-xy-y^2)=

(x^2-2xy-y^2)(x^2-2xy-y^2)=

x^4-4x^3y+6x^2y^2-4xy^3+y^4

Answer:

The first Quartile, since the minimum is 0 and maximum is 100, 65 is the closest to 50

Step-by-step explanation:

The dot plot that best represents the box plot is option D (see image 2).

Find out the minimum, maximum, and median value of the data set represented by the box plot, then determine which of the given dot plots has the same minimum, maximum, and median values.

The box plot showing points awarded to dance teams as sown in image one has the following values:

Image two shows a dot plot that has the same minimum, median, and maximum values as that of the box plot we are given, therefore, the dot plot that best represents the box plot is option D (see image 2).

Learn more about box plot on:

https://brainly.com/question/14252896

Answer:

D) 112°

Step-by-step explanation:

Reflection is the process in which a given figure is flipped over a given line or point to produce its image. Thus changing the orientation of the initial figure. Rotation involves the turning of a figure with respect to an origin.

The given question involves composition of two reflections on intersecting lines l and m. When a given point or figure is reflected on two intersecting lines, the process is the same as a clockwise rotation of the point or figure twice the intersecting angle.

The reflection of the given point along l and then m will cause a 112° rotation.

Answer: D

Step-by-step explanation: I took the test and got it right! and also if you insert 112 degrees into the equation it is right

Answer:

2/3 cups of sugar

Step-by-step explanation:

Answer:

2/3 cups of sugar

Step-by-step explanation:

If 3 cups of flour: 1 cup of sugar

2 cups of flour: x cup of sugar

Cross multiply

3x = 2 × 1

3         3

x = 2/3

My answer is correct because every 3 cups of flour is a full cup (1) but because he has 2 cups of flour, the cup of sugar is going to be less than 1 because 3 cups of flour is bigger than 2 cups of flour.

Answer:

6km/h

Step-by-step explanation:

[tex]speed \: = \frac{distance}{time} \\ 50m \: = 0.5km \\ 30s \: = 0.0833333 \: hours[/tex]

[tex]speed \: = \frac{0.5}{0.0833333} \\ speed \: = 6.0[/tex]

Answer:

Step-by-step explanation:

Solution,

Distance travelled = 50 m

Time taken = 30 second

Let's find the speed in meter/ second

Speed = [tex] \frac{distance \: travelled \: }{time \: taken} [/tex]

plug the values

[tex] = \frac{50}{30} [/tex]

[tex] = \frac{5}{3 \: } \: meter \: per \: second[/tex]

Now,Let's find the speed in km/ hour

[tex] \frac{5}{3} \times \frac{3600}{1000} [/tex]

Reduce the numbers with G.C.F 3

[tex]5 \times \frac{1200}{1000} [/tex]

Reduce the numbers with GCF 5

[tex] \frac{1200}{200} [/tex]

Reduce the fraction with 200

[tex]6 \: kilometer \: per \: hour[/tex]

Hope this helps..

Best regards!

Answer:

[tex]y = 181.75xz^2[/tex]

Step-by-step explanation:

Given

y jointly varies to x and z^2

Required

Find the equation

We start by writing out the variation;

[tex]y\ \alpha\ xz^2[/tex]

Write as equation

[tex]y = kxz^2[/tex]

Substitute values of x,y and z

[tex]70 = k * 21 * 25^2[/tex]

[tex]70 = k * 21 * 25 * 25[/tex]

[tex]70 = k * 13125[/tex]

Divide both sides by 7

[tex]\frac{70}{13125} = \frac{k * 131251}{13125}[/tex]

[tex]\frac{70}{13125} = k[/tex]

[tex]187.5 = k[/tex]

[tex]k = 181.75[/tex]

Substitute k in [tex]y = kxz^2[/tex]

[tex]y = 181.75xz^2[/tex]

Answer:  Rounded, the diagonal is 4.6 feet

Step-by-step explanation: Use the Pythagorean Theorem:  c² = a² + b²

Then take the square root of c² to find the length

2.25² =5.0625  This is a²

4² = 16  This is b²    Add a² + b²  to get c²

5.o625 + 16 = 21.0625 This is c²

√21.0625 = 4.589389938 This is the square root.

Round this to common measurements or "significant digits"  4.6 feet.

Answer:

1 5 6 11  17 28

Step-by-step explanation:

Hi there! :)

Answer:

17 is the missing number.

Step-by-step explanation:

The rule is to add the previous two numbers together to get the next number. For example:

1 + 5 = 6

5 + 6 = 11

Using this rule to solve for the missing number gets us:

6 + 11 = 17

We can check this work as well:

11 + 17 = 28.

Therefore, 17 is the missing number.

Answer:

Extrinsic value means to have the motivation or desire to do something by yourself. To have the motivation to complete a task or goal without outside help.

Step-by-step explanation:

One way of having extrinsic value is that you go to school and you want to go to Germany. Your school fortunately has a student exchange program, so you apply hoping that you get in.

Now you go home, you get the best grades so people recognize you. You teach yourself German and you do all the things that you need to do in order to go.

What makes this extrinsic is that no one forced you to go, you did all this work by will. Your own motivation.

Answer:

[tex]\mathrm{C.}[/tex] 6 1/6

Step-by-step explanation:

(a + 2bc)/(3a)

Plug in the values.

(4 + 2(-5)(-7))/(3(4))

Evaluate.

(4 + 70)/12

74/12

37/6 = 6 1/6

Answer:

1) TRIANGULAR PRISM

3) d. 144 cm3

Step-by-step explanation:

1) When figuring out what shape a net is, look at the two shapes that are different. In this case, its the triangles. Then take a look at the other shapes. If it has a rectangle base then you know its a prism. If it has a different shpes base then you know its pyramid. Now just combine the two key words you found. Triangle + Prism = Triangular Prism

2) A solid is something that is firm and stable. So it is not a liquid or solid. Pretty much everything that you listed is a solid.

3) The formula for finding the volume of a triangular prism is bxhxl divided by 2. So it would be 8x3x12= 288 divided by 2= 144 cm3

Answer:

Triangular prism.

Step-by-step explanation:

Answer:

  z = 189/44

Step-by-step explanation:

The "varies jointly" relationship can be expressed by ...

  y = kxz

We can find k from the given values.

  40 = k(10)(9)

  40/90 = k = 4/9 . . . divide by the coefficient of k

Now we want to find z for given values of x and y. That can be found from ...

  y = (4/9)xz

  9y/(4x) = z . . . . . multiply by 9/(4x)

Filling in the new numbers, we have ...

  z = 9·105/(4·55)

  z = 4 13/44 = 189/44 ≈ 4.2954...(repeating 54)

Answer/Step-by-step explanation:

The conditions where we are allowed to subtract or add radicals together is when the radicands, which is the number inside the radical, of both radicals are the same. And also, when they both have the same indices, that is, for example, they have the same root.

Take for example the following radical expression:

[tex]4\sqrt{2} + 3\sqrt{2}[/tex]

Both radicals, [tex]4\sqrt{2} and 3\sqrt{2}[/tex], have the same radicand, [tex]\sqrt{2}[/tex] , and also the same index of square root.

Therefore, they are regarded as like terms, and can be added or subtracted together.

Thus,

[tex]4\sqrt{2} + 3\sqrt{2} = 7\sqrt{2}[/tex]

Answer

30 minutes

Step-by-step explanation:

Answer: approximately 26.66667  minutes

This converts to 26 minutes, 40 seconds

=================================================

Explanation:

Let's say there are 360 newspapers that need to be delivered.

The two brothers can get the job done in 40 minutes if they work together. Their rate is 360/40 = 9 newspapers per minute.

Richie can do the full job alone in 90 minutes. So his rate would be 360/90 = 4 newspapers per minute. In 30 minutes, he delivers 30*4 = 120 newspapers. This leaves 360 - 120 = 240 left over.

Divide this over the rate of 9 papers per minute to get 240/9 = 26.66667 approximately. It takes about 26.66667 minutes to finish up delivering the 240 remaining newspapers if the brothers work together.

The portion 0.66667 multiplies with 60 to get 0.66667*60 = 40.0002 which rounds to 40 (we have rounding error going on). This means

26.66667 minutes = 26 minutes, 40 seconds

Answer:

I believe it's 220 in.

Step-by-step explanation:

area = base 1 + base 2 divided by 2 times the height

Answer:

45 minutes is 3/4 of an hour, so find 3/4 of 12.  

Divide 12 by 4 to get 1/4 of 12. That is 3.  

3/4 is 3 of those, so multiply it by 3 to get 9.

So, she will have biked 9 miles.  

Answer:

180 miles.

Step-by-step explanation:

First, we have to find out how far Claire is after 45 minutes:

12 x 45 = 540

Now, we need to find out how far Han is after 45 minutes:

8 x 45 = 360

Lastly, we need to subtract how far Claire went by how far Han went:

540 - 360 = 180

Final answer:

The distance between Claire and Han after 45 minutes will be 180 miles.

Hope this helped! Have a nice day!

The quadrilateral ABCD must be a parallelogram.

For a parallelogram, the opposite angles and sides are always equal.

From the given quadrilateral, you can see that opposite angles are equal that is:

Based on this, we can conclude that the quadrilateral ABCD must be

a parallelogram.

Learn more on parallelogram here: https://brainly.com/question/970600

Answer: Must Be

Step-by-step explanation:

Hi

An inverse variation is of the  form  :  f(x) = k/x  where k is a number  and x the variable.

In a inverse variation , the product of   x*y  is for all point always the same which is  K  

so  2*8 = 16    so K = 16  and  f(x) = 16/x

if x = 3  then   f(x) = 3   so :   16/x = 3  ;   3x = 16  ; x ⇒ 16/3

Answer:

ANSER  IS B FIRST IS INCORRECT

Step-by-step explanation:

The true statement:

ΔQRS ≅ ΔYZX.

Triangle QRS is congruent to Triangle YZX.

The correct option is C.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Given:

Triangle QSR is congruent to triangle YXZ.

ΔQSR ≅ ΔYXZ.

From the given choices:

The correct order of the congruent triangles.

ΔQRS ≅ ΔYZX.

Therefore, ΔQRS ≅ ΔYZX.

To learn more about the congruent;

https://brainly.com/question/12413243

#SPJ6

Answer: a = 8, x = 56, y = 68

Step-by-step explanation:

Was there a description that stated this was a parallelogram?

Since that information was not provided....

I used the Law of Cosines to find x = 56°.

Congruent sides implies congruent angles so Center-Q-R = 56°.

Triangle Sum Theorem results in y = 68°

Vertical angles results in S-Center-P = 68°

Triangle sum Theorem results in S-P-Center = 68°

Now we can see that alternate interior angles are congruent, therefore PQRS is a parallelogram. Diagonals are bisected at the intersection so a = 8

Answer:

The value of the given expression is - 1

Step-by-step explanation:

I believe you meant this expression to be iº [tex]*[/tex] i¹ [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴. If that is so, then we can assume that i = imaginary number, and solve for the value of the expression.

Anything taken to the power of 0 is 1, therefore we can simplify the expression as such,

1 [tex]*[/tex] i¹ [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴ ... at the same time anything taken to the power of one, is simply the base value, so -

1 [tex]*[/tex] i [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴ ... we know that multiplying values of like bases can be combined by adding their exponents, so let's apply that rule -

1 [tex]*[/tex] i¹⁰ ... let's break i¹⁰ into ( i² )⁵. i² is, in other words, - 1 applying the imaginary number rule. Respectively ( - 1 )⁵ = - 1, our solution.

Answer:

no

Step-by-step explanation:

the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.