A building in a city has a rectangular base. The length of the base measures 75 ft less than twice the width. The perimeter of this base is 840 ft. What are the dimensions of the​ base?

Answers

Answer 1

The dimensions of the base are 180 feet in length and 165 feet in width.

Let the width of the base be "x".The length of the base is 75 less than twice the width.The length of the base is 2x-75.The perimeter of the base is given to be 840 feet.The perimeter of a rectangular base is twice the sum of its length and its width.The perimeter of a rectangular base is 2[tex]\times[/tex][(2x-75) + x].840 = 2[tex]\times[/tex](3x-75)420 = 3x-753x = 495x = 165Thus, the width is 165 feet.The length is equal to 2(165-75) = 2[tex]\times[/tex]90 = 180 feet.

The whole length of any closed shape's boundary is known as its perimeter. Let's use an illustration to try to comprehend this. You may have a sizable square-shaped farm, for instance. You now decide to fence your farm in order to protect it from stray animals. Finding the entire length of the farm's boundary is as simple as multiplying the length of one side of the farm by 4. There are a lot of situations like this when we can be applying the perimeter-finding notion without even realizing it.

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Related Questions


A scale drawing of a school bus has a scale of ; inch to 6 feet. If the length of the school bus is 4, inches on the scale drawing, what'is the actual length of the bus?

Answers

A scale drawing of a school bus has a scale of ; inch to 6 feet. If the length of the school bus is 4, inches on the scale drawing, what'is the actual length of the bus?

find the value of - |3.4|

Answers

-3.4 = 3.4

Answer: 3.4

Answer:

-3.4

Step-by-step explanation:

"| |" are absolute value which means |-4| is actually 4. However, if there is a  negative outside of the lines, than the answer is negative.

Alex earns a weekly base salary of $650 as a car salesman. He also earns a 9% commission on his monthly sales after the first $10,000. What was his total salary this month if he sold 7 cars whose average price was $4,500 each?​

Answers

The total salary for the month will be $4535

How to calculate the value?

From the information, Alex earns a weekly base salary of $650 as a car salesman. He also earns a 9% commission on his monthly sales after the first $10,000.

If he sold 7 cars whose average price was $4,500 each. The total amount will be:

= $4500 × 7.

= $31500

The commission will be

= 9% × ($31500 × $10000)

= 9% × $21500

= $1935

The total salary for the month will be:

= ($650 × 4) + $1935

= $4535

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What are the solutions of the rational equation?
b. x/x+1 + 3 / x+4 = x+3 / x+4

Answers

The solution of the given rational equation [tex]\frac{x}{x+1}+\frac{3}{x+4}=\frac{x+3}{x+4}[/tex] is x = 0

In this question, we have been given a rational equation.

[tex]\frac{x}{x+1}+\frac{3}{x+4}=\frac{x+3}{x+4}[/tex]

We need to find the solution of the above rational equation.

[tex]\frac{x}{x+1}+\frac{3}{x+4}\\\\=\frac{x(x+4)+3(x+1)}{(x+1)(x+4)}\\\\ =\frac{x^{2}+4x+3x+3 }{(x+1)(x+4)} \\\\=\frac{x^{2} +7x+3}{(x+1)(x+4)}[/tex]

So given equation would be,

[tex]\frac{x^{2} +7x+3}{(x+1)(x+4)}=\frac{x+3}{x+4}\\\\x^{2} +7x+3=(x+1)(x+3)\\\\x^{2} +7x+3=x^{2} +x+3x+3\\\\x^{2} +7x+3=x^{2} +4x+3\\\\7x-4x=3-3\\\\3x=0\\\\x=0[/tex]

Therefore, the solution of the given rational equation [tex]\frac{x}{x+1}+\frac{3}{x+4}=\frac{x+3}{x+4}[/tex] is  x = 0

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The perimeter of a rectangle is 30cm, it’s width is 6cm. Find its area

Answers

Step-by-step explanation:

the area of a rectangle is

length × width.

so, in our case

30 × 6 = 180 cm²

be careful to use the right unit for the result. an area is measured in square units based on the units of the given lengths. hence cm² as the given lengths are in cm.


Simplify each sum or difference. State any restrictions on the variables.
5x/x² - x-6 + 4/x² + 4x + 4

Answers

The simplification of the given each sum or difference of the expression [tex]\frac{5x}{x^{2} -x-6} + \frac{4}{x^{2} +4x+4}[/tex] is equal to [tex]\frac{5x^{2} +14x-12}{(x-3)(x+2)^{2}}[/tex] , restriction on the variables is given by x ≠ 3 , x≠ -2.

As given in the question,

Given expression : [tex]\frac{5x}{x^{2} -x-6} + \frac{4}{x^{2} +4x+4}[/tex]

Simplify the given expression by taking least common multiple,

[tex]\frac{5x}{x^{2} -x-6} + \frac{4}{x^{2} +4x+4}\\\\\\= \frac{5x}{x^{2} -3x+2x-6} + \frac{4}{(x+2)^{2}} \\\\\\= \frac{5x(x+2)+4(x-3)}{(x-3)(x+2)^{2}}\\ \\=\frac{5x^{2} + 14x-12}{(x-3))x+2)^{2}}[/tex]

Restriction on the variables is given by x ≠ 3 , x≠ -2.

Therefore, simplification of the given each sum or difference of the expression [tex]\frac{5x}{x^{2} -x-6} + \frac{4}{x^{2} +4x+4}[/tex] is equal to [tex]\frac{5x^{2} +14x-12}{(x-3)(x+2)^{2}}[/tex] , restriction on the variables is given by x ≠ 3 , x≠ -2.

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The addition expression below represents which of the following multiplications? 4+4+4

Answers

Answer:

4 × 3

Step-by-step explanation:

4 is being added 3 times.

4x3

4+4+4= 12

4 is being multiplied 3 times

A bin of 50 manufactured parts contains 3 defective parts and 47 nondefective parts. two parts are selected randomly without replacement. let a denote the event that the first part is defective. let b be the event that the second part. is defective. find the p(b)

Answers

The probability that the event that the second part is defective will be 0.0564.

How to calculate the probability?

From the information, the bin of 50 manufactured parts contains 3 defective parts and 47 nondefective

Therefore, the probability of having a defective and non defective parts will be:

= 47/50 × 3/50

= 0.94 × 0.06

= 0.0564

Therefore, the probability that the event that the second part is defective will be 0.0564.

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Suppose the tank is halfway full of water. the tank has a radius of 2ft and is 5 ft long. calculate the force on the ends due to the hydrostatic pressure.

Answers

The force on one of the ends due to hydrostatic pressure is 332.8lb.

How is a hydrostatic pressure produced?

The force that is produced by water that is still or at rest is known as hydrostatic pressure. It is the consistent pressure that water puts on the walls of your basement. While runoff pouring down a hill might cause hydrostatic pressure, the soil around the foundation of your home usually causes it.

The force on one of the ends due to hydrostatic pressure is 332.8lb

Data;

Density = 62.4 lb/ft^3

length = 4ft

radius = 2ft

Force Due to Pressure

The force due to hydrostatic pressure can be calculated as

From the attached diagram

F = Pressure * area

density = 62.4 lb/ft³

depth of water = 2- y

pressure  = ( 2- y ) ( 62.4)

                = 124.8 - 62.4

We can proceed as

x² + ( y - 2)² = 2²

x² = 4 - ( y - 2)²

x = ± √4y - y²

this implies that

2x = 2 √4y - y²

The area is given as

δA = ( 2x) * δy

δA = 2√4y - y² δy

The force would be given by

δF = ( 2- y ) ( 62.4) (2 √ 4y - y²)δy

The total force is given by

F = [tex]\int\limits^2_0 {( 2 - y)} \, (62.4) ( 2\sqrt{4y - y^{2} } dy[/tex]

F = 124.8 [tex]\int\limits^2_0 {( 2-y)} \,( \sqrt{4y - y^{2} } dy[/tex]

F = 124.8 [tex][ -\frac{1}{3} y( y- 4 ) ( \sqrt{4y - y^{2} }[/tex]

F = 124.8 [tex][ -\frac{1}{3} (2) ( 2-4) \sqrt{4(2) - 2^{2} }[/tex]

F = 332.8lb

The force on one of the ends due to hydrostatic pressure is 332.8lb

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Find the number of possible outcomes for following situation.
Three number cubes are rolled simultaneously.

Answers

Experiment: Rolling three dice simultaneously

No of possible outcomes: 6*6*6 = 216

The Sample space is shown below:

(1,1,1) (1,1,2) (1,1,3) (1,1,4) (1,1,5) (1,1,6)

(1,2,1) (1,2,2) (1,2,3) (1,2,4) (1,2,5) (1,2,6)

(1,3,1) (1,3,2) (1,3,3) (1,3,4) (1,3,5) (1,3,6)

(1,4,1) (1,4,2) (1,4,3) (1,4,4) (1,4,5) (1,4,6)

(1,5,1) (1,5,2) (1,5,3) (1,5,4) (1,5,5) (1,5,6)

(1,6,1) (1,6,2) (1,6,3) (1,6,4) (1,6,5) (1,6,6)

(2,1,1) (2,1,2) (2,1,3) (2,1,4) (2,1,5) (2,1,6)

(2,2,1) (2,2,2) (2,2,3) (2,2,4) (2,2,5) (2,2,6)

(2,3,1) (2,3,2) (2,3,3) (2,3,4) (2,3,5) (2,3,6)

(2,4,1) (2,4,2) (2,4,3) (2,4,4) (2,4,5) (2,4,6)

(2,5,1) (2,5,2) (2,5,3) (2,5,4) (2,5,5) (2,5,6)

(2,6,1) (2,6,2) (2,6,3) (2,6,4) (2,6,5) (2,6,6)

(3,1,1) (3,1,2) (3,1,3) (3,1,4) (3,1,5) (3,1,6)

(3,2,1) (3,2,2) (3,2,3) (3,2,4) (3,2,5) (3,2,6)

(3,3,1) (3,3,2) (3,3,3) (3,3,4) (3,3,5) (3,3,6)

(3,4,1) (3,4,2) (3,4,3) (3,4,4) (3,4,5) (3,4,6)

(3,5,1) (3,5,2) (3,5,3) (3,5,4) (3,5,5) (3,5,6)

(3,6,1) (3,6,2) (3,6,3) (3,6,4) (3,6,5) (3,6,6)

(4,1,1) (4,1,2) (4,1,3) (4,1,4) (4,1,5) (4,1,6)

(4,2,1) (4,2,2) (4,2,3) (4,2,4) (4,2,5) (4,2,6)

(4,3,1) (4,3,2) (4,3,3) (4,3,4) (4,3,5) (4,3,6)

(4,4,1) (4,4,2) (4,4,3) (4,4,4) (4,4,5) (4,4,6)

(4,5,1) (4,5,2) (4,5,3) (4,5,4) (4,5,5) (4,5,6)

(4,6,1) (4,6,2) (4,6,3) (4,6,4) (4,6,5) (4,6,6)

(5,1,1) (5,1,2) (5,1,3) (5,1,4) (5,1,5) (5,1,6)

(5,2,1) (5,2,2) (5,2,3) (5,2,4) (5,2,5) (5,2,6)

(5,3,1) (5,3,2) (5,3,3) (5,3,4) (5,3,5) (5,3,6)

(5,4,1) (5,4,2) (5,4,3) (5,4,4) (5,4,5) (5,4,6)

(5,5,1) (5,5,2) (5,5,3) (5,5,4) (5,5,5) (5,5,6)

(5,6,1) (5,6,2) (5,6,3) (5,6,4) (5,6,5) (5,6,6)

(6,1,1) (6,1,2) (6,1,3) (6,1,4) (6,1,5) (6,1,6)

(6,2,1) (6,2,2) (6,2,3) (6,2,4) (6,2,5) (6,2,6)

(6,3,1) (6,3,2) (6,3,3) (6,3,4) (6,3,5) (6,3,6)

(6,4,1) (6,4,2) (6,4,3) (6,4,4) (6,4,5) (6,4,6)

(6,5,1) (6,5,2) (6,5,3) (6,5,4) (6,5,5) (6,5,6)

(6,6,1) (6,6,2) (6,6,3) (6,6,4) (6,6,5) (6,6,6)

Favorable outcome (three similar numbers, i.e. getting an identical number in all the three dice) : 6

Probability = No of favorable outcomes/Total no of outcomes = 6/216 = 0.0278

Help me someoneeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:


Determine whether each sequence is geometric. If so, find the common ratio. 7,0.7,0.07,0.007, . . . . .

Answers

The given sequence is geometric, with common ratio = 0.1.

What is a geometric progression?

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given: 7, 0.7, 0.07, 0.007,...

Here, 0.7/7 = 0.07/0.7 = 0.007/0.07 = 0.1

That is, the given sequence follows the only necessary condition required for a sequence to be geometric.

Hence, The given sequence is geometric, with common ratio = 0.1.

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Use the given information to write an equation of a circle.
center at (-1,-5) , radius 2

Answers

Using the given information, the equation of the circle with radius 2 and center at (-1 , -5) is (x + 1)^2 + (y + 5)^2 = 4.

The general form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (-1 , -5)

r = 2

(x - -1)^2 + (y - -5)^2 = 2^2

(x + 1)^2 + (y + 5)^2 = 4

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Plss help me A scale drawing of a lake has a scale of 2 cm to
100 m. If the actual width of the lake is 1,500 m, what is
the width of the lake on the scale drawing?

Answers

The width of the lake on the scale drawing is 30 cm.

Based on the given conditions, formulate 1500*2/100

Cross out the common factor: 15*2 = 30

Get the result as 30 cm

An object is enlarged in a scale drawing. An expansion increases or decreases the size of an object by multiplying each of its lengths by a scale factor. Typically, a ratio is used to describe the scale of a drawing. a representation of a real thing with correct sizes that have been scaled back or blown up slightly (called the scale). The scale is represented by the length in the drawing, a colon (":"), and then the actual length that corresponds to it.

Hence, the width of the lake on the scale drawing is 30 cm.

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From 1890 through 1990, the number of men M and women W in the US labor force can be modeled by the following equations, where t is the number of years since 1890. M=0.0016t^2 + 0.315t + 19.467 W= 0.007t^2 - 0.228t + 5.908 Find a model for the total number of people in the US Labor force.

Answers

The model for the total number of people in the US Labor force is T = -0.0054t² + 0.087t + 13.559 .

In the given question

the number of men "M" in the US labor force is modelled by the equation ,

M = 0.0016t² + 0.315t + 19.467   ...(i)

and

the number of women "W" in the US labor force is modelled by the equation ,

W= 0.007t² - 0.228t + 5.908   ...(ii)

Let "T" denoted the model for total number of people in the US Labor force.

The total number of people in the US Labor force = Number of Men + Number of Women in US Labor force.

Adding equation (i) and (ii) we get ,

T = (0.0016t² + 0.315t + 19.467) + (0.007t² - 0.228t + 5.908)

Adding the like terms we get ,

T = (0.0016-0.007)t² + (0.315-0.228)t + (19.467-5.908)

T = -0.0054t² + 0.087t + 13.559

Therefore , the total number of people in the US Labor force is modeled by the equation T = -0.0054t² + 0.087t + 13.559  .

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Dan spends 1/5 of his wages on rent and 2/3 on food. If he makes £495 per week, how much money does he have left?

Answers

Dan is left with £66 after the total spending.

What is referred as the total expenses?

An expense is the amount of operations incurred by a business in order to generate revenue.

It is simply described as the amount of money required to obtain something. "It costs to make money," as the adage goes.Expenses can be classified in a number of ways. Fixed expenses, including such rent or mortgage, are those that don't change in response to changes in production. Expenses can also be described as variable expenses, which change in response to changes in production. Utilities as well as the cost of selling goods are examples of these.

As for the given question;

The total earning per week is £495.

Spending on rent is 1/5.

1/5 of  £495 = 495/5 = 99

Spending on rent is  £99.

Now, spending on food is 2/3 of  £495.

Food spending = (2/3)×495 = £330

Let the money left is 'x'.

Total expenses = Total income

food cost + rent cost + saving = 495

99 + 330 + x = 495

x = 495 - 429

x = 66

Thus, the savings by the Dan is  £66.

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Find the volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis. y=5x, y=5, x=0

Answers

The volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis is V = 8π/3

What is the Volume of a solid?

The volume of a solid, given by the function f(x), over an interval between a and b, is given by:

[tex]V = \pi \int\limits^a_b {f(x)^2} \, dx[/tex]

To find the area, integrate around that area. We're revolving around the x-axis so the area will be a circle;

V = ∫A(x)dx =  ∫(πr²)dr

Then we subtract them from each others.

∫(πr₂² - πr₁²)dr

Now substitute the value and integrate;

∫(π(2)² - π(2x)²)dr

∫(4π - 4πx²)dr

4π∫(1 - x²)dr

Now integrate from 0 to 1 since that's where our boundary is.

V = 4π∫(1 - x²)dr = 8π/3

Therefore, The volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis is V = 8π/3

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What is the solution to the given system of equations?
7a-12b = 10
-2a-4b = 12


pls help me i don’t understand

Answers

Answer:

a=−2 and b=−2

Step-by-step explanation:

Let's solve your system by substitution.

7a−12b=10;−2a−4b=12

Step: Solve7a−12b=10for a:

7a−12b=10

7a−12b+12b=10+12b(Add 12b to both sides)

7a=12b+10

7a/7=12b+10/7

(Divide both sides by 7)

[tex] \sf \: a = \frac{12}{7} b + \frac{10}{7} [/tex]

Step: Substitute: 12/7b+10/7 for a in−2a−4b=12:

−2a−4b=12

−2(12/7b+10/7)−4b=12

−52/7b + −20/7=12(Simplify both sides of the equation)

−52/7b+−20/7+20/7=12+20/7

(Add 20/7 to both sides)

−52/7b=104/7

[tex] \sf \: \frac{ \frac{ - 52}{7}b }{ \frac{ - 52}{7} } = \frac{ \frac{104}{7} }{ \frac{ - 52}{7} } [/tex]

(Divide both sides by (-52)/7)

b=−2

Step: Substitute −2 for b in a =12/7b+10/7:

a=/12/7b+10/7

a=12/7(−2)+10/7

a=−2(Simplify both sides of the equation)

What is 3/4 divided by 5 as a reciprocal

Answers

Answer:

I think its 3 20.

Step-by-step explanation:


The formula a=m-a represents the actual cost, a, of an item with original price m after a coupon for in dollars off is applied. Solve the formula for the amount of the coupon.

Answers

The formula a=m-a represents the actual cost, a, of an item with original price loss m after a coupon for in dollars off is applied.

n = m - a

In light of this:

The formula a = m - n's expression

where;

a = the item's real cost

m = initial cost

n = the monetary value of the coupon

The goal is to figure out how much the coupon is worth.

To calculate the quantity of the coupon, we must subtract n from the above statement, where n is the number of coupons in dollars.

As a result, if a = m - n

a + n Equals m

n = m - a

Profit and loss are expressions used to determine whether or not a sale is economic. we use these expressions frequently. However, the difference between the two is appertained to as profit, If the selling price is advanced than the cost price. However, the difference is appertained to as the loss, If the selling price is lower than the cost price. The cost price of a product is the price at which it's bought.

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make an outcome tree to show all possible combinations. you have three pairs of shorts four shirts, flip flops, and sneakers

Answers

The required number of combinations is 24.

Given that,
To make an outcome tree to show all possible combinations. you have three pairs of shorts four shirts, flip-flops, and sneakers.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,

                                       flip flops                  
         short 1                    short 2                    short 3
Shirt 1                shirt 2                      shirts 3                  shirts 4
Number of combinations = 12
                                         
                                       sneakers
         short 1                    short 2                    short 3
Shirt 1                shirt 2                      shirts 3                  shirts 4
Number of combinations = 12

Total number of combination = 12 + 12 = 24

Thus, the required number of combinations is 24.

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Write an equation in slope-intercept form for each line described.
passes through (-2,2) , perpendicular to y=-5 x-8 .

Answers

The equation in slope-intercept form is x – 5y = -12

Given,

y = -5x – 8

This is in slope-intercept form, y = mx + b

Where, m is slope and b is y-intercept.

Here, m = -5

Perpendicular lines have slopes that are negative reciprocals, [tex]m_{p}[/tex] = -1/m

Here we need equation of line through (-2, 2) with slope -1/-5 = 1/5

y = (1/5)x + b

where (-2, 2) is on the line.

2 = 1/5(-2) + b

2 = -2/5 + b

b = 2 + 2/5 = 12/5

therefore, equation we need is:

y = 1/5x + 12/5

that is,

1/5x – y = -12/5

Multiplying 5 in both sides, we get

5(1/5x) – 5y = (-12/5)5

That is, the equation we need is:

x – 5y = 12

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Use the properties of logarithms to evaluate each expression. 3log₉ 3- 1/4 log₉ 81

Answers

The evaluation of each expression is 3/2 , 1/2.

What is logarithms:

Logarithms are the other way of writing the exponents. A logarithm of a number with a base is equal to another number. A logarithm is just the opposite function of exponentiation. For example, if 102 = 100 then log10 100 = 2.

Hence, we can conclude that,

Log b x = n  or   bn = x

Where b is the base of the logarithmic function.

This can be read as “Logarithm of x to the base b is equal to n”.

In this article, we are going to learn the definition of logarithms, two types of logarithms such as common logarithm and natural logarithm, and different properties of logarithms with many solved examples.

What is properties of logarithms:

Properties of logarithms functions are used to solve logarithm problems. We have learned many properties in basic math's such as commutative, associative and distributive, which are applicable for algebra. In the case of logarithmic functions, there are basically five properties.

This are as follows:

The product property

The quotient property

Power rule

Change of base rule

Reciprocal rule

Now,

3log₉ 3 = [(9)^x]^3 = 3

[(3^2)^x]^3 = 3

x = 3/2

Second part,

1/4 log₉ 81

= 1/2

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Express the quantity as a positive or negative number the record low temperature for a date is 21.7 degrees below zero

Answers

The temperature will be represented by the negative number -21.7 degrees.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the quantity is a positive or negative number the record low temperature for a date is 21.7 degrees below zero.

T = 0 - 21.7

T = -21.7 degrees

Therefore, the temperature will be represented by the negative number -21.7 degrees.

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Identify the pattern and find the next three terms.
50,45,40,35, .......

Answers

30, 25, 20 minus 5 each time

I need this answered please

Answers

Answer: 23 + 2c

Step-by-step explanation:

     To write an expression, we will look at the wording of the phrase given;

The sum of ➜ addition

twice Chau's height ➜ 2c

The sum of 23 and twice Chau's height.

23 + 2c

23 + 2c will be your answer.

points!!!!!!!!!!!!!!!!

Answers

Answer:

5 points

Step-by-step explanation:

because yes

Carl writes 14/3 x 7/3 to find the quotient of 4 2/3 divided by 2 1/3. What is his mistake?

Answers

The quotient in this Carl multiplies the both value instead of dividing so that is the mistake that made by Carl.

The quotient of 4 divided by 2 1/3 and also explain the mistake that done by Carl

The value of 4  1/3 is 14/3

And the value of 2  1/3 is 7/3

So then we divide 4 2/3 by 2 1/3 is,

[tex]\frac{14 / 3}{7 / 3}=\frac{14}{3} \frac{3}{7}[/tex]

      =2

Carl's mistake is thinking that his quotient (2) is equal to the value of the terms involved in it. In fact, 2 is just a multiplier for 7/3 and doesn't have any specific value associated with it.

Hence, this is the quotient in this Carl multiplies the both value instead of dividing so that is the mistake that made by Carl.

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Draw a tessellation using the following shape(s).
trapezoid and a parallelogram

Answers

Tessellation in trapezoid is possible only if it is rotated

see the fig, attached.

But tessellation in parallelogram is possible both rotated and non rotated

see the fig, attached.

What is tessellation?

A tessellation or tiling is the seamless application of one or more geometric shapes, known as tiles, to a surface, frequently a plane. Tessellation in mathematics can be expanded to include other geometries and higher dimensions.

A tiling constructed of materials like cemented ceramic hexagons or squares is referred to as a real-world tessellation. Such tilings may be ornamental designs or serve practical purposes such providing long-lasting and water-resistant pavement, floor, or wall coverings.

Tessellations were historically employed in Islamic art, such as the Moroccan architecture and the ornamental geometric tiling of the Alhambra palace. They were also used in Ancient Rome.

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someone please help!

The model shows Earth and the Sun.

(picture below)

Why do different parts of Earth receive different amounts of sunlight during the day?

Answers

Different parts of Earth receive different amounts of sunlight because of the Earth's rotation. As Earth orbits around the Sun, it also rotates on its axis, which is the central line running through Earth and it turns a complete circle one time per day.
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