1 Write the area as a sum:
2 Write the area as a product:

1 Write The Area As A Sum:2 Write The Area As A Product:

Answers

Answer 1

The area of the shape as a sum is 2x^2 + 5x + 2.

The area of the shape as a product is (x+2) (2x+1).

What is area of a shape?

A figure surrounded by a barrier is referred to as a shape. Numerous things in shapes like square, rectangle, round, etc. are all around us.

The space around by a shape's perimeter or boundary is known as its area. Using particular mathematical methods, we may determine the area of shape for various geometric shapes.

Area as a sum

For this, we will simply add all the values given in the figure

⇒ x^2 + x^2 + x + x + x + x + x + 1 + 1

2x^2 + 5x + 2

So, the area of the shape as a sum is 2x^2 + 5x + 2.

Area as a product

The shape given is a rectangle

Area of a rectangle is length * width

Now, the length is x+2 and the width is 2x+1

So, the area is

(x+2) (2x+1)

So, the area of the shape as a product is (x+2) (2x+1).

Hence, the area of the shape as a sum and as a product are obtained.

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Related Questions

A tore had 349 tuffed animal at the beginning of the week. It old 137 tuffed animal during the week. How many tuffed animal are in the tore at the end of the week

Answers

At the end of the week, the store has 212 tuffed animals.

To determine the number of tuffed animals in the store at the end of the week, we need to subtract the number of tuffed animals sold during the week from the number of tuffed animals in the store at the beginning of the week.

349 tuffed animals (beginning of the week) - 137 tuffed animals (sold during the week) = 212 tuffed animals (at the end of the week).

So at the end of the week, the store has 212 tuffed animals.

The concept used to solve this problem is subtraction. Specifically, we are using the inverse operation of addition. By subtracting the number of tuffed animals sold during the week from the number of tuffed animals in the store at the beginning of the week, we are able to find the number of tuffed animals in the store at the end of the week. The subtraction operation is used to find the difference between two quantities, which in this case is the number of tuffed animals remaining in the store.

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PLEASE HELP ON THIS ASAP!

Answers

Answer:

Step-by-step explanation:

try D

What is perfect number class 6?.

Answers

A Perfect Number N is defined as any positive integer where the sum of its divisors minus the number itself equals the number.

A perfect number is a positive integer that is equal to the sum of its proper divisors, which are positive integers that divide the number without leaving a remainder. For example, 6 is a perfect number because its proper divisors are 1, 2, and 3, and 1 + 2 + 3 = 6. The first four perfect numbers are 6, 28, 496, and 8128.

Perfect numbers have been studied by mathematicians for centuries, and continue to be an area of active research. They have connections to other areas of mathematics, such as number theory and algebraic number theory. Perfect numbers also have applications in computer science and cryptography.

It is also important to note that in number theory, a natural number is called abundant if it is less than the sum of its divisors and deficient if it is greater than the sum of its divisors. Perfect numbers are exactly equal to the sum of their divisors.

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Please help me do the following question:

Answers

The values of a, b and c are given as follows:

a = 5, b = 3, c = 3.

How to simplify the expression?

The exponential expression for this problem is defined as follows:

[tex]\left(\frac{4}{3}\right)^{\frac{1}{2}} + \left(\frac{1}{3}\right)^{-\frac{1}{2}}[/tex]


The negative exponent means that the numerator and the denominator are inverted, with the positive exponent, then:

[tex]\left(\frac{4}{3}\right)^{\frac{1}{2}} + \left(3)^{\frac{1}{2}}[/tex]

The fractional exponent of 1/2 can be transformed into a square root, hence:

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

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

[tex]\frac{2 + (\sqrt{3})^2}{\sqrt{3}}[/tex]

Then:

[tex]\frac{5}{\sqrt{3}}[/tex]

We rationalize the expression, thus:

[tex]\frac{5}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{5\sqrt{3}}{3}[/tex]

Meaning that the values are given as follows:

a = 5, b = 3, c = 3.

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Can a triangle with 3 angles equal 60?.

Answers

Yes, there can be a triangle with three angles equal to 60.

The triangle is called the equilateral triangle where all three angles of a triangle is equal to 60 degree.

As we all knows that the sum of all the angles of a triangle is 180 and there are three angles that present in a triangle.

So, 60+60+60 = 180.

Now, Some properties of equilateral triangle:

All the sides of the equilateral triangle are equal.All the angles of the equilateral triangle are equal.The area of equilateral triangle is [tex]\frac{\sqrt{3} }{4} a^{2}[/tex] where a is the side of the equilateral triangle.In an equilateral triangle median bisect the opposite side at right angle. In an equilateral triangle centroid, incentre, circumcircle and orthocentre lies at the same point.

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What method is used to find the prime factors of a number *?.

Answers

The method used to find the prime factors of a number is called prime factorization. One common method to find the prime factorization of a number is called trial division.

Here is how the trial division method works:

Divide the number by the smallest prime number (2). If the division is exact, then 2 is a prime factor of the number.

If 2 is a factor, divide the number by 2 again, and again, until the division is no longer exact. Then divide the resulting quotient by the next smallest prime number (3), and continue dividing by the smallest prime numbers (5, 7, 11, etc.) until the quotient is prime.

Repeat this process until the quotient is 1. The prime factors of the original number will be the prime numbers that were used in the divisions.

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Without using calculator, determine between which two integers the following surds lie (d)⁵√30 (e)³√45​

Answers

Answer:

30^(1/5) is in (1, 2)45^(1/3) is in (3, 4)

Step-by-step explanation:

You want to know the consecutive integers that bound the values of 30^(1/5) and 45^(1/3).

Powers and roots

The fifth root of 30 will lie between the two integers whose 5th powers lie on either side of 30:

  1^5 = 1 < 30

  2^5 = 32 > 30

So, the fifth root of 30 lies between 1 and 2:

  [tex]\boxed{1 < \sqrt[5]{30} < 2}[/tex]

The cube root of 45 will lie between the two integers whose cubes lie on either side of 45:

  3^3 = 27 < 45

  4^3 = 64 > 45

So, the cube root of 45 lies between 3 and 4:

  [tex]\boxed{3 < \sqrt[3]{45} < 4}[/tex]

__

Additional comment

A calculator confirms this:

  [tex]\sqrt[5]{30}\approx 1.974\\\sqrt[3]{45}\approx3.557[/tex]

3. Solve your equation to find the distance Jane’s trainer bikes. Show your work.


4. How much farther does Jane travel than her trainer?







(my previous answers so this will make sense)


1. The total distance jane bikes and runs is 28 miles.

2. Janes trainer bikes a distance of 20 miles.

Answers

Jane travels 8 miles much farther than her trainer. The solution is obtained using arithmetic operations.

What are arithmetic operations?

By combining operands with one arithmetic operator, an arithmetic operation is given. The built-in functions add, subtract, divide, and multiply additionally allow for the specification of arithmetic operations.

3. Using pythagoras theorem, we get the equation as D² = 12² + 16².

⇒D² = 144 + 256

⇒D² = 400

⇒D = √400

D = 20

4. Jane has traveled 28 miles in total whereas her trainer has traveled 20 miles.

So, the difference is 28-20= 8 miles

Hence, Jane travels 8 miles much farther than her trainer.

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What is the additive inverse of 19 /- 7?.

Answers

The additive inverse of 19/-7 is 19/7.

The additive inverse of a number is the negative of that number. If a number is added to its additive inverse, the sum of both numbers becomes zero. In other words, the additive inverse is the number that is added to a given number to make the sum zero. That is what you add to a number to get zero is called its additive inverse.

That is, Number + Additive inverse = 0

OR

The negative of a number.

Now we are given the number

19/-7

So, the additive inverse of 19/-7:

⇒19/-7 + Additive inverse = 0

⇒Additive inverse = 19/7

Thus the additive inverse of is 19/-7 is 19/7.

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Proving that a quadrilateral is a parallelogram quiz part 1:
State which method we can use to show that the quadrilateral is a parallelogram. a. Both pairs of opposite angles are congruent.
b. Both pairs of opposite sides are congruent.
c. Both pairs of diagonals bisect each other.
d. Both pairs of opposite sides are parallel.

Answers

A parallelogram is formed when one pair of opposite sides of a quadrilateral are equal and parallel that is option B and D.

What is parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are of equal length, and its opposite angles are of equal measure. A parallelogram is a type of quadrilateral with opposite pairs of sides that are parallel and equal. The diagram depicts a parallelogram ABCD with AB II CD and AD II BC. In addition, AD = BC and AB = CD. Non-Example: A trapezium is a parallelogram's non-example.

Here,

When one pair of opposite sides of a quadrilateral are equal and parallel, a parallelogram is formed that is option B and D.

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i need answer by today​

Answers

The Tangent Law may be used to calculate the height of the mountain's summit. The ratio of the opposing side to the adjacent side is defined as the tangent. Thus, the mountain's top is 3.44 kilometres high.

What is Tangent law?

Tangent law is a mathematical law that states that the ratio of the tangent of an angle to the tangent of its complementary angle is equal to the ratio of the sine of the angle to the sine of its complementary angle. It can be written mathematically as:

tan(θ) / tan(90-θ) = sin(θ) / sin(90-θ)

The opposing side in this example is the height of the peak, while the adjacent side is the distance between the hotel and the summit (6.5 km).

Opposite/Adjacent = tan is the equation for the tangent law (angle of elevation). We may rewrite this equation to find the height of the mountain's peak: Adjacent = tan(angle of elevation) * Opposite.

We may calculate the height of the mountain's peak by plugging in our values: Opposite = tan(19 degrees) * 6.5 km = 3.44 km.

As a result, the mountain's top is 3.44 kilometres high.

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Jeremiah picked a toy from the treasure chest with 10 different toys. He selected a crazy straw, replaced it, and then selected the crazy strawn again. What is the probability that this could occur.

Answers

The probability that the described situation could occur as required in the task content is; 1 / 100.

What is the probability that the described situation could occur?

It follows from the task content that the you selection is done such that there's replacement.

Since the treasure chest contains 10 different toys, the probability of selecting a crazy straw two times consecutively is;

= 1/10 × 1/10

= 1 / 100.

Ultimately, the probability that the given situation occurs as described is; 1 / 100.

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What are the domain and range of function f/x )= x 6?.

Answers

Which Of the following could be the ratio between Of the two legs Of a 30-60-90 triangle? (Apex Quiz)

Answers

The ratio of the two legs of the triangle 30-90-60 will be 1 : √3.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

The triangle is 30-90-60. The ratio of the two legs will be calculated as,

tan(30) = AB / BC

1 / √3 = AB / BC

Hence, the ratio of the two legs will be 1 : √3.

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Identify the quadratic form of
4(x-1)^2-9(x-1)=2. Than factor and solve for x.

Answers

Answer:

see explanation

Step-by-step explanation:

4(x - 1)² - 9(x - 1) =-  2

let t = x - 1 , then rewrite the expression as

4t² - 9t = - 2 ( add 2 to both sides )

4t² - 9t + 2 = 0 ← in standard form

Step 2

consider the factors of the product of the coefficient of the t² term and the constant term which sum to give the coefficient of the t- term

product = 4 ×  2 = 8 and sum = - 9

the factors are - 8 and - 1

use these factors to split the t- term

4t² - 8t - t + 2 = 0 ( factor first/second and third/fourth terms )

4t(t - 2) - 1(t - 2) = 0 ← factor out (t - 2) from each term

(t - 2)(4t - 1) = 0 ← in factored form

equate each factor to zero and solve for t

4t - 1 = 0 ⇒ 4t = 1 ⇒ t = [tex]\frac{1}{4}[/tex]

t - 2 = 0 ⇒ t = 2

Step 3

Now solve for x using

t = x - 1 ( add 1 to both sides ), then

x = t + 1

t = [tex]\frac{1}{4}[/tex] , then x = [tex]\frac{1}{4}[/tex] + 1 = [tex]\frac{5}{4}[/tex]

x = 2 , then x = 2 + 1 = 3

What is the domain of a negative number?.

Answers

Since a square is either positive or zero, negative numbers don't have real square roots.

No, we are unable to compute the negative number's square root. Positive is always the result of adding two numbers with the same sign.

How is a negative square root treated?

Theorem: Square Roots of a Negative Number Simplifying an expression involving the square root of a negative number by simplifying the number as if it were a positive number and putting an i in front of it as a coefficient is one method. To put it another way, x=ix x = i x for every x where x is a positive number and where x is a negative number.

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Select the best Measures of Center for the data set:

e, a, u, i, e, o, o, e, u, a, i, e, o, u, a



Question 2 options:

Either the Mean or the Median


The Median Only


The Mode Only

Answers

The best measure of center for the data is the mode only.

What is measure of central tendency?

a central tendency is a central or typical value for a probability distribution. Colloquially, measures of central tendency are often called averages. The term central tendency dates from the late 1920s. The most common measures of central tendency are the arithmetic mean, the median, and the mode.

In this particular data, it is formed of letter with no definite values, therefore to find the mean value would be and the median would be impossible but the mode can be found.

Firstly we re arrange the letters in alphabetical order e, a, u, i, e, o, o, e, u, a, i, e, o, u, a = a,a,a,e,e,e,e,i,i,o,o,o,u,u,u.

Then the letter that appeared most can be picked out.

Only e appear 4 times. This means that e is the mode of the data.

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Please help me with this!!!!! .If S is the set of points z in the complex plane such that (3 + 4i)z is a real number, then S is a ----- A. right triangle B. circle C. hyperbola D. line E. parabola​

Answers

Answer:

D line

Step-by-step explanation:

The 4i word should be eliminated since we want (3+4i)z to be a genuine number. Then, to ensure that the imaginary terms cancel out when z is multiplied together, we can make z of the form (n-4/3 ni).

Exerase In a class of 30 pupils, 17 play football, 15 play volly ball, 12 play Rugby, 9 play only football, 6 play only vollyball and 3 only play Rugby If all the pupils, at least play one of the three sports find the number of those who play both Volleyball and Rugby?

Answers

At least play one of the three sports find the number of those 25 numbers play both Volleyball and Rugby.

What is meant by sport?

Cricket is the most popular spectator sport in the nation, and people frequently play it for fun. It has the largest television viewership and regularly draws sold-out crowds to international and Indian Premier League (IPL) games.But in more recent decades, both the number of people watching football on television and going to games in stadiums has increased.Along with badminton, tennis, and athletics, kabaddi has become more popular. In India, kho-kho has advanced to the position of fourth most seen sport. One of the top nations in field hockey is India. India won the World Cup and numerous Olympic field hockey medals. Dhyan Chand was a prominent player at the time.

Since they all play at least one sport, the number of people who don't play football is 30-17 = 13.

The "no football" category is divided in 3 categories :

only volleyball : 9

only rugby : 12

both = x

So we have :

9 - 3 - x = 13

12 - x  = 13

x = 13 + 12 = 25

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pls help...................................

Answers

The value of x found using the angle addition postulate is; x = 35°

What is the angle addition postulate?

The angle addition postulate states that the measure of the angle formed by the non-common sides (rays) of two adjacent angles that have a common side is the sum of the two adjacent angles.

The measures of the angles in the document are;

The measure of angle STV is 75°

The measure of angle WTV is 40°

The measure of angle STW is x°

Please find attached a possible drawing representing the angles, obtained from the drawing in a similar question, and created with MS Word.

The angle addition postulate indicates that we get;

m∠STV = m∠STW + m∠WTV

Whereby angle ∠x is the same as the angle ∠STW, therefore, wse get;

m∠STV = x° + m∠WTV

Plugging in the values for the angles defined by the letters, we get the angles

75° = x° + 40°

x° = 75° - 40° = 35°

The measure of angle x is 35°

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Need help please help asap

Answers

Answer: Question 1 - 1/2
Question 2 - 1/4

Step-by-step explanation:

Hello! The answer to the first question is 1/2 because the quarter can have either two possible outcomes.  The quarter could land on heads or tails, and the chance of landing on heads is 1/2 and the chance of landing on tails is 1/2.

For the second question, the answer is 1/4 because the probability of a nickel landing on heads is 1/2 and the probability of a penny landing on heads is also 1/2.  To find the probability of both landing on heads.  You have to multiply both probabilities together.  1/2 x 1/2 = 1/4, which is your answer for the second question.

Hope this helps!

Is zero a real answer?.

Answers

Yes, Zero is a real answer because zero is a rational number, and any rational number is also a real number. In particular, the set of real numbers is the union of the set of irrational numbers with the set of rational numbers.

Zero is an even number, but it is not a prime as well as a composite number. Also, zero is neither a positive nor a negative number, but it completes the gap between them. Zero factorial is 1 (0! = 1).

Zero is rational, real, and an integer, but it is not a natural number. Any number divided by zero is undefined, as is zero divided by zero. Of course, zero did not always exist.

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Write a function rule for the area of a triangle whose base is 4 ft more than the height. What is the area of the triangle when its height is 6 ft?

A. A = 0.5h2 + 4h; 42 ft2
B. A = 4h − 0.5h2; 6 ft2
C. A = 0.5h2 + 2h; 30 ft2
D. A = 0.5h2 − 2h; 6 ft2

Answers

The function for the area is:

A = 0.5H² + 2H

And if the height is 6ft, then the area is 30ft²

How to write the area function?

We know that the area of a triangle is the product between the base and the height over two.

Here the base is 4ft more than the height H, then:

A = B*H/2

A = (H + 4)*H/2

A = 0.5H² + 2H

If the height is 6ft, then the area is:

A = 0.5*(6ft)² + 2*6ft = 30ft²

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a boat can travel 294 miles in 24.5 hours (with a constant speed). How much time will it take traveling 339.6 miles?

Answers

Mph can also be said as mile/hour so in this question 294 miles / 24.5 hours equals the constant speed of 12 MPH. Then take 339.6 Miles divided by your speed of 12MPH you’ll get ANSWER: 28.3 Hours

In June of 2016, for every 20 total emails a person received,
they could expect to get 11 spam emails. If a person received
300 spam emails in one month, how many total emails did
they receive?

Answers

The total emails received are 546. The solution is obtained using arithmetic operations.

What are arithmetic operations?

For all the real numbers, there are four basic mathematical operations which are:

1. Addition(‘+’) wherein the sum of the numbers is obtained.

2. Subtraction(‘-’) wherein the difference of the numbers is obtained.

3. Multiplication(‘×’) wherein the product of the numbers is obtained.

4. Division(‘÷’) wherein the quotient of the numbers is obtained.

Let the total emails received be 'x'.

We are given that for every 20 total emails a person received, they could expect to get 11 spam emails.

Now, a person received 300 spam emails in one month

So, the total emails received will be

⇒x = 20*300/11

⇒x = 545.45

x = 546 (approx)

Hence, the total emails received are 546.

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. The Declaration of Independence is approximately 1,458 words including signatures, which Tewanda read in 9 minutes. How fast did she read the document?​

Answers

Answer:

Tewanda reads 162 words per minute

Step-by-step explanation:

To find the unit rate of how fast Tewanda reads:

1458/9 = 162

Tewanda reads 162 words per minute

Kimiko and Miko are playing a game in which each person rolls a number cube. If the sum of the numbers is a prime number, then Miko wins. Otherwise, Kimiko wins. Is this game fair? Select the response with the correct answer and an argument that correctly defends the response. Multiple choice question. A) no; The probability that Miko will win is 712 . Because 712 is greater than 512 , Miko has a greater chance of winning. B) no; The probability that Kimiko will win is 712 . Because 712 is greater than 512 , Kimiko has a greater chance of winning. C) no; The probability that Kimiko will win is 812 or 23 . Because 23 is greater than 13 , Kimiko has a greater chance of winning. D) yes; The probability that Kimiko will win is 612 or 12 . Since Kimiko's probability of winning is 12 Miko's probability of winning must also be 12 .

Answers

Answer:  Choice B)

No; the probability that Kimiko will win is 7/12. Because 7/12 is greater than 5/12, Kimiko has a greater chance of winning.

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

Explanation:

The prime number sums possible are: {2, 3, 5, 7, 11}

Below is the list of ways to reach those prime sums. Focus on the items in bold. The non-bolded numbers to the left are there to keep count of things.

1+1 = 21+2 = 31+4 = 51+6 = 72+1 = 32+3 = 52+5 = 73+2 = 53+4 = 74+1 = 54+3 = 75+2 = 75+6 = 116+1 = 76+5 = 11

There are 15 items in that list out of 6*6 = 36 dice rolls total.

15/36 = 5/12 is the probability of Miko winning

1 - (5/12) = 7/12 is the probability of Kimiko winning.

Those two fractions (5/12 and 7/12) aren't the same, which means the game isn't fair.

Kimiko has a better chance of winning since 7/12 is larger than 5/12.

This is why  choice B   is the final answer.

which best shows an identity property?

Answers

Answer:

it is b the 2 one

hope you like it

Factor the expression to fill in the blank.
33 + 66 = ? (3 + 6)

Answers

11 (3 + 6) = 33 + 66


A hotel rents cabanas for $25 plus $2 for each hour the cabana is rented. An expression for the total cost of renting a cabana for h hours is 25+ 2h.
Complete the table by finding the total cost of renting a cabana for h hours.
Number of
Hours, h
1
2
3
4
25+ 2h
25+ 2 x 1
Total Cost
27

Answers

Together, fixed and variable costs make up the overall cost.When n is 4, the price is $33.00.

Find the total cost ?

Together, fixed and variable costs make up the overall cost.The total cost, for instance, would be $35 if a company had a fixed cost per unit of $30 and a variable cost per unit of $5 that increased as output increased.The formula for average total cost is created by dividing the sum of all production costs by the sum of all payments in money.

The total-cost formula is a simple and user-friendly process that works by dividing the total production cost by the quantity of goods produced.

Y River

c = 33

Z River

Where n is the number of hours, c is equal to 5n + 13.

Graph

Include nothing before to n = 0

The cost will be the same when both sides of the equation are equal.

Where the two lines meet is the answer.

Both of them come together at a single place.

The point is this (4,33)

When n is 4, the price is $33.00.

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