Does a rectangle have four congruent sides?

Answer:

The answer to your question is letter B

Step-by-step explanation:

Process

1.- Get two points of each line

                       Line 1                   Line 2

Point A            (0, 2)                    (5, 7)

Point B             (-4, 0)                  (0, -4)

2.- Find the slope of each line

Formula          slope = m = (y2 - y1) / (x2 - x1)

Line 1               m = (7 - 2) / (5 - 0)

                        m = 5/5

                        m = 1

Line 2               m = (-4 - 0) / (0 + 4)

                        m = -4/4

                        m = -1

3.- Find the equation of the lines

Formula          y - y1 = m(x - x1)

Line 1              y - 2 = 1(x - 0)

                      y - 2 = x

                      y = x + 2

Line 2             y + 4 = -1(x - 0)

                       y + 4 = -x

                       y = -x - 4

Answer:

You can use it in different ways

Step-by-step explanation:

sometimes it may be in correct as it is not a 100 percent way to get and answer

You do not use the completing the square method when the quadratic coefficient is not a perfect square, when the middle coefficient is odd, or when dealing with complex numbers. The quadratic formula is often more efficient under these circumstances.

The completing the square method is typically not used in certain circumstances in solving quadratic equations. For example, it is not the best approach when the quadratic coefficient (the 'a' term when the quadratic is in the form ax^2+bx+c=0) is not a perfect square and cannot be easily made into one. Additionally, this method is often avoided if the middle coefficient (the 'b' term) is odd, making it cumbersome to deal with fractional or decimal numbers when completing the square.

Instead, it might be more efficient to use the quadratic formula, which can handle any type of quadratic equation. The quadratic formula, x equals minus 'b', plus-or-minus the square root of 'b' squared minus four 'a' 'c', all over two 'a', provides a direct solution without the need for making any initial transformations to the equation. This formula is also preferred when the equation has coefficients that do not lend themselves to simple arithmetic or when the equation is not easily factorable.

In contrast, the completing the square method is best when dealing with integrals in calculus or when you need the equation in vertex form for analyzing the properties of a parabola. In such scenarios, completing the square provides additional insight into the problem at hand.

Answer:

A=2.6

Step-by-step explanation:

Answer:

the dimensions are;

Width = 14.5 ft

Length = 25.5 ft

Step-by-step explanation:

We are told that width is 11 feet less than length. Let Width be W and Length be L.

Thus;

W = L - 11

Area of rectangle is given by;

Area; A = 2W + 2L

Putting L - 11 for width, we have;

Area = 2(L - 11) + 2(L)

A = 2L - 22 + 2L

A = 4L - 22

Length = L

Width = W

Area = A

A =4L-22

We are told that Area is 80 square feet. Thus;

80 = 4L -22

Add 22 to both sides to give;

102 = 4L

Divide both sides by 4 to give;

102/4 = 4L/4

L = 25.5

Recall that; W = L - 11

Thus;

W = 25.5 - 11 = 14.5

So the dimensions are;

Width = 14.5 ft

Length = 25.5 ft

Answer: 2 decimal digits

Step-by-step explanation:

When multiplying decimals, placement of the decimal point is very important. Since there is one decimal digit in each factor, there must be two decimal digits in the product. This is because tenths x tenths = hundredths

Hope this helps and good luck! :)

Answer:

Depends on the question

For example 2x1.3=2.6

or 2.3x 5.2343= 12.03889

To answer your question It could range between 0-2

Step-by-step explanation:

Answer:

(67 + 45 + 84 + 55 + 73 + 36 + 80 + 62 + 38)/9 = 60

The mean number of points is 60.

Step-by-step explanation:

Add up all of the points  and divide it by the number of games played

Answer:

The scores of two school basketball teams are recorded.

Team A scored the following points per game: 67, 45, 84, 55, 73, 36, 80, 62 and 38.

Team B scored the following points per game: 72, 47, 76, 34, 98, 76, 56, 54 and 63.

Step-by-step explanation:

Answer:

9√3

Step-by-step explanation:

that’s the simplified square root of 243 :)

Answer: It will take him 319 days

Step-by-step explanation:

5742 divided by 18 = 319

Answer:

Step-by-step explanation:

If he wants to save $5,742, and is saving $18 per day, you can simply simplify $5,742 by $18 and you get 319.

Answer:

27,488.94 cubic feet

Step-by-step explanation:

I think thats it

Amount of water will fill the cylindrical aquarium is 11083.54 cubic feet

"A cylinder is a closed solid that has two parallel (usually circular) bases. The two circular bases are joined by a curved surface, at a fixed distance from the center. "

Formula for volume of cylinder

V = [tex]\pi r^{2}h[/tex]

We have,

V = [tex]\pi[/tex](252)(14)

By comparing two equations of volume

[tex]r^{2}[/tex] [tex]= 252[/tex]

⇒ [tex]r = \sqrt{252}[/tex]

⇒ [tex]r = 15.875[/tex]

Radius of base(circle) = 15.875

Height of cylindrical aquarium [tex]h = 14[/tex]

Amount of water will fill the cylindrical aquarium

V = [tex]\pi (252)(14)[/tex]

V = 11083.539 cubic feet

V = 11083.54 cubic feet (nearest hundredth)

Learn more about cylinder here

https://brainly.com/question/3216899

#SPJ2

Two complementary angles equal 90.

If angle 1’s complementary angle is 80, then angle 1 is 10 (90-80=10)

The three angles of a triangle need to equal 180.

Angle 3 = 180 - angle 1 - angle 2

Angle 3 = 180 - 10 - 80 = 90

Angle 3 = 90 degrees

Answer:

27.13 ounces of one solution and 57.87 ounce of other solution

Step-by-step explanation:

Considering 'x' no. of ounces of one solution and 'y' no. of ounces of other solution.

Lets form the equations according to the given data.

-> she wishes to obtain 85 ounces by combining both solutions

x+y= 85

x = 85- y -->eq(1)

-> by combining a 72% acid solution with a 25% acid solution  

0.72x + 0.25 y = 0.4 x 85 --> eq(2)

Substituting value of eq(1) in eq(2)

0.72(85-y) + 0.25 y = 34

61.2 - 0.72y + 0.25y = 34

-0.47y= 34-61.2

y= 27.2/0.47

y= 57.87 ounces

Plugging in eq(1)

eq(1)=> x = 85- 57.87

x= 27.13 ounces

Therefore, Misty should use 27.13 ounces of one solution and 57.87 ounce of other solution

Answer: The last one (C)

Step-by-step explanation: Use the rule to convert  

15

1

3

to a radical, where  

a

=

15

,  

x

=

1

, and  n = 3 .

3 √ 15

Answer:

A) (x + 2)(x + 8)   B) (x + 3)(x + 4)    C) (x + 1)(x + 12)

Step-by-step explanation:

I think that you meant to put x^2 on all of them

A) You can factor out an x, an 8, and a 2.    (x + 2)(x + 8)

B) You can factor out an x, a 3, and a 4.      (x + 3)(x + 4)

C) You can factor out an x, a 12, and a 1.     (x + 1)(x + 12)

If these answers are correct, please make me Brainliest!

The Factorize value is

A)  (x + 2)(x + 8)

B)  (x + 3)(x + 4)

C)  (x + 1)(x + 12)

A number is swiftly factorised into smaller numbers or factors of the number using the factorization formula. A factor is a number that evenly divides the inputted number.

The process of dividing a number into smaller numbers that, when multiplied together, equal the original number is known as factorization.

Given:

A) x² + 10x + 16

Now, factorizing

x² + 8x + 2x  + 16

x(x+ 8)+ 2(x+8)

(x + 2)(x + 8)

B) x² + 7x + 12

Now, factorizing

x² + 3x + 4x  + 12

x(x+ 3)+ 4(x+3)

(x + 3)(x + 4)

C)  x² + 13x + 12

Now, factorizing

x² + 12x + x  + 12

x(x+ 12)+ 1(x+3)

(x + 12)(x + 1)

Learn more about factorization here:

https://brainly.com/question/20293447

#SPJ2

Answer:

x = 3.5

perimeter of each figure = 54

Step-by-step explanation:

Perimeter of square:  4(3x + 3)       12x + 12

Perimeter of equilateral triangle:  3(5x + 0.5) = 15x + 1.5

Solve for x:  12x + 12 = 15x + 1.5

Grouping like terms results in 10.5 = 3x, which leads to x = 3.5.

Each polygon has a perimeter of 12x + 12, which here is 12(3.5) + 12 = 54

x = 3.5

perimeter of each figure = 54

9514 1404 393

Answer:

  A, D, E

Step-by-step explanation:

Given:

  A triangular prism 7 m high with a base triangle that has a base of 8 m and a height of 14 m.

Find:

  3 steps among those listed that should be taken to compute the volume.

Solution:

The listed steps are ...

  (a) Use the formula A = one-half b h to find the area of the base.

  (b) Use the formula A = b h to find the area of the base.

  (c) The area of the base, A, is One-half (7) (8) = 28 meters squared.

  (d) The area of the base, A, is One-half (8) (14) = 56 meters squared.

  (e) The volume of the prism, V is (56) (7) = 392 meters cubed

__

The formula for the volume is ...

  V = Bh . . . . where B is the area of the base, and h is the prism height

The formula for the area of a triangle is ...

  A = 1/2bh . . . . where b is the base of the triangle and h is its height

We need the area of the triangular base before we can use the volume formula, so the first step is (a). The next step is to fill in values in that formula, so the second step is (d). Finally, we fill in values in the volume formula, so the third step is (e).

Of the steps listed, we should use steps (a), (d), (e).

Answer:

Joule.

Step-by-step explanation:

Dado que las unidades empleadas son del Sistema Internacional, la unidad a emplear es el Joule, cuya definición es Newton multiplicado por metro.

Answer:  i believe it is bailey

Step-by-step explanation:

bailey bought 6 note books for 10.80

thats about $1.8 per notebook

bc 10.80 ÷ 6 = 1.8

if we take steve's which is 7.28 for, four note books

thats $1.82 per note book

7.28 ÷ 4 = 1.82

then we check what it would be if he bought 6 note books.

1.82 x 6 = 10.92

so bailey got the better deal. i think dont take my word for it

Answer:5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Option 3

Step-by-step explanation:

If the radius of the can is 2 inches, then the diameter must be 4 since the diameter is 2 times the radius. So we want to make it as small as possible. I think the best option is option 3 because it is tight and it is stacked nicely. The package wrapping will not have much to go around. I hope this helps! please mark me brainliest! Thanks!

Answer:

An ordinary gain of $2,000

Step-by-step explanation:

Cost of the vehicle(C)=$10,000

Depreciation(D)=$3,000

Selling price(S)=$9,000

Worth of the vehicle= Cost price - depreciation

=$10,000-3,000

=$7,000

Net worth= selling price - worth of the vehicle

=$9,000-$7,000

=$2,000

Answer:

transaction would be a profit of $ 2,000.

Step-by-step explanation:

Given:-

- The original cost of the vehicle, C = $ 10,000

- The depreciation of the vehicle until the time of selling, d = $3,000

- The price at which the vehicle is sold, S = $ 9,000

Find:-

What is result of the transaction

Solution:-

- Whenever an asset is bought the value of the asset depreciates. There are several tools and methods to estimate the amount of depreciation.

- After n years of possession of car / since manufactured the asset undergoes depreciation until its sold or salvaged.

- Here Ms Smith possessed her car for a certain amount of time t years.

- The accumulated depreciation at the time she sold her car was " d ".

- So at the point of selling her car the actual worth or value of her car was ( C* ):

                              C* = C - d

                              C* = $10,000 - $3,000

                              C* = $7,000

- Now her car's value is ( C* ). If she sells her for " S " higher than current asset worth then she will profit from it otherwise she would sustain a loss in her selling transaction. So the net asset worth she would have after selling her car would be:

                             Net Worth = S - C*

                             Net Worth = $9,000 - $ 7,000

                             Net Worth = $ 2,000

Answer: The net worth is a positive value that means she sold her car for higher value than its worth; hence, the transaction would be a profit of $ 2,000.

Answer:.74 is the higher number

Step-by-step explanation: i'm bad at explaining things but i hope this helps

The number 0.74 is larger than 0.084. This can be determined by comparing the numbers from left to right.

The question asks for the larger number between 0.74 and 0.084. When comparing decimal numbers, look at each digit from left to right. In our case, the first number has 7 in the tenths place, while the second number has 0. Therefore, 0.74 is greater than 0.084. As a general rule in mathematics, larger numbers often have more digits to the left of the decimal point or larger digits in the most leftward position for numbers to the right of the decimal point.

https://brainly.com/question/123818

#SPJ2

Answer:

24 ducks were swimming at the pond.

Answer:

16 children attended the play

Step-by-step explanation:

Since one adult brought four children. The cost of their tickets should be:

($4×1) + ($2×1)

= 4+8

= $12

Since the remaining adults brought 2 children each, it means that each of the remaining adults will pay the cost of three tickets (1 for themselves and 2 for their children) which is:

($4×1) + ($2×2) = $4 + $4 = $8.

Since total cost of tickets for adults and children = $60, we will subtract $12 from $60 in order to know the cost of the tickets for the remaining adults and their children.

$60 - $12 = $48

Each of the remaining adults paid $8 as ticket cost for themselves and their kids. If the adults that brought only 2 kids paid a combined $48, then the number of adults that brought 2 kids each

= $48/$8

= 6 adults.

If each of these 6 adults brought 2 kids each, then the number of children that they brought = 2 × 6 = 12

We now add this to the four children of the first adult

12 + 4 = 16

Therefore the number of children that attended the play = 16

The problem is solved by setting up and solving equations, determining that 16 children attended the play.

The subject of this problem is setting up and solving equations. The given information can be translated into equations. Four children and one adult make up one group. For this group, the total cost is $4 (for the adult) + $2 * 4 (for the children) = $12. For the remaining adults and children, we know each adult brought 2 children and the cost would be $4 (for the adult) + $2 * 2 (for the children) = $8 per group. We know the total cost was $60. So, subtract the $12 from the first group, which leaves $48. As we know each of the remaining groups cost $8, we divide $48 by $8 to find that there were 6 more groups. Each of these groups consists of 1 adult and 2 children, so there were 6 * 2 = 12 children in these groups. Added to the original 4 children, that makes 16 children in total.

https://brainly.com/question/18577777

#SPJ3

Answer:

There is insufficient evidence to support the claim that  it's not a surprising value given that only 45​% of all its employees are women

Step-by-step explanation:

-Given that [tex]p_o=0.45, n=47, x=20[/tex]

-We state our hypothesis as:

[tex]H_o:p=0.45\\\\H_a:p\neq 0.45[/tex]

#We apply the one-proportion z-test to test the claim about the one population proportion.

-The sample proportion is calculated as:

[tex]\hat p=\frac{x}{n}\\\\=\frac{20}{47}\approx0.4255[/tex]

#We determine the value of the test statistic as:

[tex]z=\frac{\hat p-p_o}{\sqrt{\frac{p_o(1-p_o}{n}}}\\\\=\frac{0.4255-0.45}{\sqrt{(0.45\times 0.55)/47}}\\\\=-0.3376[/tex]

#We determine the p-value using the normal probability table:

[tex]P=P(Z<-0.3376 \ or \ Z>0.3376)\\\\=2P(Z<-0.3376)\\\\=2\times 0.32636 \\\\=0.6527[/tex]

[tex]P>0.05[/tex] =>Fail to reject [tex]H_o[/tex]

There is insufficient evidence to support the claim that  it's not a surprising value given that only 45​% of all its employees are women

To test the claim that female representation among executives is in line with company-wide figures, we perform a hypothesis test. While the observed female proportion in the local branch is below the stated company-wide figure, further analysis using test statistics and p-value comparison with a level of significance (for instance, 0.05) is necessary to decide if this difference is statistically significant.

The subject of this question is a hypothesis test related to population proportions. To test the hypothesis that the percentage of female executives in the local branch is not significantly below the overall percentage within the company, we establish the null hypothesis: H0: The proportion of female executives is equal to or greater than 45%, and the alternative hypothesis: H1: The proportion of female executives is less than 45%. Using the given figures, we can calculate the observed proportion of female executives in the local branch as 20/47 = 0.4255 or roughly 42.55%, which is less than 45%. Given the borderline nature of the result, we would typically proceed by calculating the test statistic and looking up the corresponding p-value. If the p-value is less than our level of significance (say α = 0.05), we would reject the null hypothesis, indicating that the imbalance is statistically significant. If not, we fail to reject the null hypothesis, implying that there isn't enough evidence to prove a significant disproportion. Ultimately, the final conclusion needs the actual p-value.

https://brainly.com/question/34171008

#SPJ11

Answer:

0.83 ft

Step-by-step explanation:

If the diameter of the cylinder is 20 in, then half of that would be 10 in.

10 in is not quite a full foot, so 10/12 = 0.83 ft.

Answer:

(x - 7) (x - 1) or option a

Step-by-step explanation:

(x - 7) (x - 1) =

x² - 7x - x + 7 =

x² - 8x + 7

Answer:

c

Step-by-step explanation:because ive done this assignment and got 100

The value of x from the given figures is 30 inches. Therefore, option C is the correct answer.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Given that, the two figures are proportional.

Here, 36/12 =x/10

x/10 =3

x=30 inches

Therefore, option C is the correct answer.

To learn more about the proportional relationship visit:

brainly.com/question/12917806.

#SPJ2

Answer:

Step-by-step explanation:

Since the number of words per page in the book is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = number of words per page.

µ = mean

σ = standard deviation

From the information given,

µ = 340 words

σ = 20 words

The probability that the number of pages in the book are less than 360 words in length is expressed as

P(x < 360)

For x = 360,

z = (360 - 340)/20 = 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.84

The percent of pages in the book that are less than 360 words in length is

0.84 × 100 = 84%