A face of a suitcase measures 24 inches long and 18 inches wide. what is the diagonal length of the face?
30 in.
25 in.
20 in.
15 in.

Answers

Answer 1

I think the answer is 90in.

Answer 2

In a case whereby the face of a suitcase measures 24 inches long and 18 inches wide the diagonal length of the face is 30 in.

How can the diagonal length be calculated?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

The suitcase measures 24 inches long and 18 inches wide

Using Pythagoras theorem,

The diagonal =[tex]\sqrt{18^{2} + 24^{2} }[/tex]

= [tex]\sqrt{900}[/tex]

=30 in.

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Related Questions

8+6=?
what is the answer to the question

Answers

Answer: 14

Step-by-step explanation:

because 8 +4 is 14

14!, when you add 8 to 6 it gives you 14

Which expression is equivalent to
(3²)

Answers

Answer:

3 + 6 = 92 + 1 + 4 + 2 = 918 : 2 = 93 + 3 + 3 = 9

Step-by-step explanation:

Which expression is equivalent to

(3²)

3² = 9

3 + 6 = 92 + 1 + 4 + 2 = 918 : 2 = 93 + 3 + 3 = 9

Explaintion needed.

Answers

Step-by-step explanation:

for straight Line AE:

110° + AČB = 180° ( angles on straight line )

A Č B = 70°

for triangle "A C B"

65° + 70° + x = 180° (sum of angles on triangle)

x = 45°

DO THE SAME THING FOR THE UPPER PART ( straight line A E and triangle A D C) PLEASE GIVE ME BRAINLIEST ANSWER

Write an equation for a circle with center (-2, 8) and radius 9.

Answers

The equation for a circle with a center (-2, 8) and a radius of 9 will be (x + 2)² + (y − 8)² = 81.

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x - h)² + (y - k)² = r²

Write an equation for a circle with a center (-2, 8) and a radius of 9.

Then the equation will be

(x + 2)² + (y − 8)² = 9²

(x + 2)² + (y − 8)² = 81

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X +4
2 - 16
lim
X→-4 X

Answers

I'm going to assume you meant to say

[tex]\displaystyle \lim_{x\to-4} \frac{x+4}{x^2-16}[/tex]

Factorize the denominator to reveal a removable discontinuity in the limand:

[tex]\dfrac{x+4}{x^2-16} = \dfrac{x+4}{(x+4)(x-4)}[/tex]

In the limit, we're considering values of x *near* -4, and not x = -4 itself. So we can cancel the factors of x + 4 and we're left with

[tex]\displaystyle \lim_{x\to-4} \frac{x+4}{x^2-16} = \lim_{x\to-4} \frac1{x-4} = \frac1{-4-4} = \boxed{-\frac18}[/tex]

How to find the point slope form with the slope of 3 and the point of -2/6

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:y-6 = 3(x + 2) [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Equation of line in point - slope form :

[tex]\qquad \tt \rightarrow \:y-y_1 = m(x - x_1)[/tex]

[tex] \tt \:m = slope=3[/tex]

[tex]\tt y_1 = y \: \: coordinate \: \: of \: \: point = 6[/tex]

[tex] \tt \:x_1 = x \: \: coordinate \: \: of \: \: point = - 2[/tex]

Here :

[tex]\qquad \tt \rightarrow \:y - 6 = 3(x - ( - 2))[/tex]

[tex]\qquad \tt \rightarrow \:y - 6 = 3(x + 2)[/tex]

Barry’s Burger Barn opened 25 franchises in its first year of operation. The second year, they opened 30 additional franchises. They opened 35 more in the third year and 40 more in the fourth year. If this pattern holds for all future years, perform the following: a. Determine how many franchises Barry’s will open each year in year 5, year 14, and year 26. Explain how you did this. b. Determine how many total franchises Barry’s will have in operation in year 10, year 22, and in year 50. Explain how you did this. c. How did you determine your answers? (Relate the relevant information in the story problem above to your calculations.)

Answers

The number of franchises that Barry will open each year in year 5, year 14, and year 26 will be 45, 90, and 150.

How to compute the value?

a = 25

d = 5

The fifth year will be:

= a + (n - 1)d

= 25 + (5 - 1)5

= 25 + (4 × 5)

= 45

The 14th year will be:

= a + 13d

= 25 + 13(5)

= 90

The 26th will be:

= a + 25d

= 25 + 25(5)

= 150

The total franchises Barry’s will have in operation in year 10, year 22, and in year 50 will be:

Year 10 = n/2[2a + (n - 1)d]

= 10/2[5(25) + 45]

= 475

Year 22 = 25[50 + 245]

= 1705

Year 50 = 25(50 + 245)

= 7375

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Willing to give brainlyest if you can aswer these for me ASAP

Answers

Answer:

65

Step-by-step explanation:

its simple math

Answer:

x+5=12.          x = 7,

7x=21.            x = 3,

b-2/3=5/6.     b = 1.5,

3/4x=6x=8.    x = 1/3,

45=3(x+1).      x = 14,

22.5+1.5x.      x = 15,

20+(5•9).        $65

Step-by-step explanation:

 

Think of 5 positive integers that have a mode of 3, a median of 5, a mean of 7 and a range of 12.

Answers

For the mode to be 6, there has to be at least two 6s.

For the median to be 6, with two 6s, there must be at least one number above 6.

For the mean to be 6, the sum is 30, so the three remaining numbers must total 18.

Give the values of a, b, and c needed to write the equation's general form.
(x - 3)2 = 0

1. a = 1; b = -3; c = 0
2. a = 1; b = -6; c = -3
3. a = 1; b = -6; c = 9

Answers

The values of a, b, and c are needed to write the equation's general form will be a = 1; b = -3; c = 0.Option A is corect.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

x²-3x=0

The quadratic equation in the form is;

ax² + bx + c = 0

On putting the values of the options one by one we will get the answer;

1 x²+(-3)x+0

x²-3x=0

Hence, option A is corect.

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Simplify cubed 5 -10/27

Answers

The correct answer for the given expression is 99.22.

What is an expression?

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

The expression will be solved as:-

E = [tex]({5 -\dfrac{10}{27}})^3[/tex]

E = [tex](\dfrac{135-10}{27})^3[/tex]

E =[tex]\dfrac{125}{27}^3[/tex]

E = 99.22

Therefore the correct answer for the given expression is 99.22.

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A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.

Answers

Answer: Probability = 90%

Step-by-step explanation:

In a drawer we have:

2 black shirts

7 white shirts

11 gray shirts

If we would randomly pick a shirt, what are the chances of it not being black?

To do that, we first need to calculate the probability of getting a black shirt.

To calculate that, we need to divide the number of black shirts by the total number of shirts.

Black shirts = 2

Total shirts = 2 + 7 + 11 = 20

That will be 2 black shirts divided by 20.

We get 0.1

If we multiply 0.1 by 100%, we get a 10% chance to get a black shirt.

Now, to know to chances of not getting a black shirt, we just need to subtract 10% from 100%.

And that will be 90% chances of not getting a black shirt.

Probability = 90%

Hope I Helped!

Which graph represents the solution set for the compound inequality below? ---x+ 10 ≥7 X-10≥7
x-10≥7​

Answers

A graph which represents the solution set for the compound inequality is shown in the image attached below.

How to determine the graph?

In order to determine the graph which represents the solution set for the compound inequality, we would evaluate the given inequalities as follows.

Given the following inequalities:

⅓x + 10 ≥ 7

x - 10 ≥ 7

For the first inequality, we have:

⅓x + 10 ≥ 7

Multiply all through by 3;

x + 30 ≥ 21

x ≥ 21 - 30

x ≥ -9  ⇒ x < 9.

For the first inequality, we have:

x - 10 ≥ 7

x ≥ 7 + 10

x ≥ 17.

In conclusion, a graph which represents the solution set for the compound inequality is shown by using the number line in the image attached below.

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Vector u has initial point P at (0, 0) and terminal point Q at (5, -8). What are the component form and magnitude of u?
• u = (5, -8): ||u|| = -√89
• u = (5, 8): ||u|| = -√89
• u = (5, -8): ||u|| = √89
• u = (5, 8): ||u|| = √89

Answers

The correct option for the given vector is the third one:

u = (5, -8): ||u|| = √89

What are the component form and magnitude of u?

If the initial point is (0, 0), then the component form of the vector is just equal to the terminal point of the vector.

Then we have:

u = (5, -8)

For a vector w = (x, y) the magnitude is:

[tex]||w|| = \sqrt{x^2 + y^2}[/tex]

In this case, the magnitude will be:

[tex]||u|| = \sqrt{5^2 + (-8)^2} = \sqrt{89}[/tex]

Then the correct option is the third one.

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What is the slope of the line with the equation y-3=-1/2(x-2)?

Answers

Answer:  [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]y -3 = -\frac{1}{2}(x-2)[/tex]

Write as slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

[tex]y-3=-\frac{1}{2}x + 1[/tex]

     [tex]y = -\frac{1}{2}x+4[/tex]

Therefore, the slope is [tex]-\frac{1}{2}[/tex].

Two candles are light at the same time one burns for 6 hours and the other one lasts 2 hours. The first candles flame is 3 times longer than the other ones. How long do the both candles burn for? (please write with the way you found the answer I will give brainliest.)

Answers

At  150 minutes the length of the first candle is 3 times that of the other.

The complete question is

There are two candles of same length and same size. Both of them burn at uniform rate. The first one burns in 5 hours and the second one burns in 2 hours. Both the candles are lit together. After how many minutes the length of the first candle is 3 times that of the other?

What is an Equation ?

When two algebraic expression are equated using an equal sign an equation is formed.

First candle burns for 5 hours

Second candle burns for 2 hours

Let the length of candle be l.

After t time (in minutes), length of first candle =l−(lt/300)

Length of second candle =l− (lt/120)

From the data given

l -  (lt/120) = 3 * (l−(lt/300))

On simplifying

4t = 600

t = 150 minutes

Therefore after 150 minutes the length of the first candle is 3 times that of the other.

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Here is a sketch of y=x^2 +bx+c

Answers

Answer:

Step-by-step explanation:

find the surface area of the prism

Answers

The area of a 2D form is the amount of space within its perimeter. The surface area of the prism is 232 in².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area of the prism is,

Surface area = 2 [(2 × 8)+(8 × 10)+(2 × 10)]

                      = 232 in²

Hence, the surface area of the prism is 232 in².

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Wich seires of transformations will not map figure L onto itself

Answers

Answer:

cheesefnekeeorknfdndndndn

most everyday purchases at the store are labeled with the piece of the item before sales tax. Which expression could be used to find the amount of tax

Answers

Amount of Tax = (Original Cost)(Tax %) , Option C is the right answer.

The complete question is

Most everyday purchases at the store are labeled with the price of the item before sales tax. Which expression could be used to find the amount of tax? Amount of Tax = Original Price + Total Cost Amount of Tax = (Total Cost)(Original Price) Amount of Tax = (Original Cost)(Tax %) Amount of Tax = (Total Cost)(Tax %)

What is Tax ?

Tax is the % of the amount taken by the government on the sales or income of a person , There are many kinds of taxes imposed on various sectors.

The amount of tax is taken on the cost of the product ans thus can be represented by

Amount of Tax = (Original Cost)(Tax %) , Option C is the right answer.

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Tom was able to save 35% more this year than he did last year. If he saved $140 last year, how much did he save this year?

Answers

Answer:

$189

Step-by-step explanation:

35% of 140 = 49

140 + 149 = 189

Tom's total saving this year is $189.

It is a 35 percent increased saving from last year's $140.

What are percentages?

Percentages are fractional values where the denominator is fixed to be 100.

To convert percentage into number, we multiply by 100.

How to solve the question?

In the question, we are informed that Tom was able to save 35% more this year than he did last year.

We are asked if he saved $140 last year, then how much did he save this year.

The increase in Tom's savings = 35% of last year's savings,

or, the increase = 35/100 * 140 (To convert percentage into quantity, we divide by 100).

or, the increase = $49.

Therefore, Tom's total savings this year = Last year's savings + Increase,

or, Tom's total saving this year = $140 + $49 = $189.

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Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. chris is playing a card game with his friends. the game uses only the four aces from a standard deck of cards. for each move, a player draws one card, replaces it, and then draws the second card. the probability that a player draws two cards of the same color is . the probability that a red ace is drawn first and then a black ace is

Answers

The probability that a red ace is drawn first and then a black ace is mathematically given as

x=1/4

What is the probability that a red ace is drawn first and then a black ace?

Where

Sample mean=(x,y)\, x, y \in \{h,d,c,s\}

If we want a player to draw two cards of the same color from their deck, the following combinations of cards are appropriate choices:

[tex](h,h),\ (h,d),\ (d,h),\ (d,d),\ (c,c),\ (c,s),\ (s,c),\ (s,s)[/tex]

Generally, 8 possible pairings above 16. This indicates that the likelihood of a player drawing two cards of the same color is 8/16, which is equivalent to a probability of half.

In conclusion, In a similar vein, the following pairs of cards illustrate the likelihood of obtaining a black ace after having drawn a red ace in the previous round:

[tex](h,c),\ (h,s),\ (d,c),\ (d,s)[/tex]

Giving

x=4/16

x=1/4

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Answer:

1/4

Step-by-step explanation:

The graph below shows point P and line A. If line B is drawn such that it passes through point P and is parallel to line A, what is the equation of line B? Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. The graph below shows point P and line A. If line B is drawn such that it passes through point P and is parallel to line A , what is the equation of line B ? Give your answer in the form y = mx + c , where m and care integers or fractions in their simplest forms .​

Answers

Answer:

Step-by-step explanation:

If line A is parallel to line B passes through the point (2,7), the equation of line B will be y=3x+1.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the points are (2,7)

The slope of line A is,

m = 6/2

m=3

The equation of the line is,

y-(-1)=3x

y=3x+1

Since the line B is parallel to A the slope of the line is the same,

y-(-7)=3(x-2)

y=3x+1

Thus, if line A is parallel to line B passes through point (2,7), the equation of line B will be y=3x+1.

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Help Me. I need to get back on track on common factors and factors.​

Answers

Answer:

A) 1, 2, 4

Hope this helps you!

Answer:

A. 1, 2, 4

Step-by-step explanation:

32= 1*32, 2*16, 4*8

36* 1*36, 2*18, 3*12, 4*9, 6*6

Common factors: 1, 2, 4

So the Answer is A.

Someone or anyone pls help me, I just want the answers pls it’s so urgent

Answers

Step-by-step explanation:

The first question is pretty straight forward, all you have to do is get a ruler and measure how long XY is. Then draw another line that has the same exact length next to it and label it AB, by drawing A and B at the end points like how they did in the line XY

For the second question measure the length of FG and then measure the length of YZ and add the two lengths and then draw a line with that length and then label it CD by labeling the end points C and D.

For the last question measure the length of MN and then divide that length in 2 and then label that midpoint O. for example if I had the same problem and I put my ruler on the line and saw the length was 10 inches, I would go to where it's 5 inches and label the midpoint on the line. You also want to draw a perpendicular line through that midpoint O.

Which of the following is needed to construct a hexagon?
OA. Six obtuse triangles
OB. Six isosceles triangles
OC. Six right triangles
OD. Six equilateral triangles

Answers

The answer choice which represents the what is needed to construct a hexagon is Choice B; Six isosceles triangles.

What is needed to construct a hexagon?

By definition, an hexagon is a closed figure with six equal sides and six congruent interior angles.

On this note, upon assembly of six isosceles triangle s in which cases, the excluded side of the isosceles triangles form the sides of the hexagon and the congruent sides represents lines joining each vertex to the center of the hexagon, an hexagon is formed.

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Answer:

The correct answer is six equilateral triangles.

Step-by-step explanation:

The angle at the center of the hexagon is 360°, which is being divided into 6 equal parts. The value of each angle at the center is equal to 60°. All three angles of the 6 triangles formed in the given hexagon are equal to 60°. This proves that there are 6 equilateral triangles.

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
2 similar triangles. Triangle 1 has side lengths 14, 21, blank. Triangle 2 has side lengths 18, 27, blank.
a.
StartFraction 14 Over 27 EndFraction = StartFraction 21 Over 28 EndFraction = StartFraction 14 Over 27 EndFraction
b.
StartFraction 14 Over 18 EndFraction = StartFraction 21 Over 27 EndFraction = StartFraction 7 Over 9 EndFraction
c.
StartFraction 14 Over 21 EndFraction = StartFraction 18 Over 27 EndFraction = StartFraction 2 Over 3 EndFraction
d.
StartFraction 27 Over 14 EndFraction = StartFraction 28 Over 21 EndFraction = StartFraction 27 Over 14 EndFraction

Answers

The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.

How do the Sides of Similar Triangles Relate?

The corresponding sides of similar triangles have ratios that are equal to each other.

The corresponding sides and their ratios are:

4/12 = 1/3

5/15 = 1/3

Therefore, the ratio of their sides in its lowest term is:

C. 4/12 = 5/15 = 1/3

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What is the solution to the following system of equations? (1 point)

x − 3y = 5
2x + y = 10
(5, 0)
(0, 5)
(7, 0)
(0, 7)

Answers

the answer would be 5,0

Answer:

Step-by-step explanation:

the ratio of the teacher and student of Nepal Secondary School is 1:32. if the number of teachers of that school is 25 find the number of students​

Answers

Answer:

The number of students is 800

1 teacher=32 students

25 teachers=?

(32×25)/1

800

Given the functions below, find g(5) + h(2).
g(x) = 2x - 5
h(x) = 4x + 5

Answers

g(5) = 2(5)-5=5
h(2)=4(2)+5=13

So, g(5)+h(2)=13+5=18.

Answer:

18

Step-by-step explanation:

substitute x = 5 into g(x) and x = 2 into h(x)

g(5) + h(2)

= 2(5) - 5 + 4(2) + 5

= 10 - 5 + 8 + 5

= 5 + 13

= 18

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Demand was high, he soon had the opportunity to open a second and then a third shop in other parts of Lahore, a business was born.Bashir traveled to Australia and USA to learn how supermarkets work there and decided to launch his own supermarket: a large shop (he got inspiration from Australian supermarkets, Woolworths and Coles) where customers could help themselves and pay at self-service cashier desks. After a few months of trial and error, he found a successful formula based on his past success with offering good quality and service at affordable prices, and the business took a new turn.Supermarkets are known to be good businesses in terms of working capital requirements, with customers paying by cash or debit card and suppliers being paid well after the delivery and sale of goods. However, buying land and building the supermarkets required funds: Bashir turned to his family and friends to seek capital and his local bank for loans. His parents gave him part of an inheritance in the form of land and some cash, and a friend, Dawood, contributed capital in return for an eventual 10% share of the business.could use the brand in return for a fee. The franchises, in time, bought most of the merchandise through a newly-created central buying structure. During the early years of his business, Bashir recruited talented managers from other companies and set aside 10% of the capital to reward them.Family businessBashir's wife, Kausar, always supported him in his ventures. In the beginning, she helped with the accounting, and when the business grew, she occasionally traveled with him to visit stores and attended social events with key managers, franchisees, or suppliers. Their friend Dawood was often invited to their home with his wife and only son Kashif. Through these occasions, Bashir and Kausar's daughter Zoha and Kashif met and discovered that they enjoyed each other's company. They announced their wedding in 1987.Bashir could not think of a more exciting job for his children than working with him in the business. As soon as they finished University, he invited his children Asif, Zoha, and Baber to join him. He also gave each of them 5% of the shares in full ownership. The rest of the shares were split between the managers (10%), Dawood (10%), Kausar (10%), and himself (55%). All three children started as trainees in stores and worked their way up the ladder. Bashir did not show any favoritism towards them and encouraged a competitive spirit between the three. Fortunately, Zoha and Baber got along very well, but Asif, the eldest son, was unhappy with his situation. After a few years, Asif left the family business with some bitterness and joined a consulting company specializing in consumer goods and role in the Choudhary Group), invited their older children, Ali and Sofia, to join the business and board. Sofia started working in the supermarket as a shelf manager, while Ali was asked to investigate international expansion into neighboring countries. During that time, Zoha's younger son, Affan, started a software house with his friends and approached Baber (who hopes soon to become the CEO of the Choudhary Group when his father Bashir finally retires) to talk about possible synergies with the Choudhary Group.At this point, Baber felt that action was needed to head off some major issues potentially facing the business and the family. Baber advocated some urgent reflection on strategy and felt the board of directors was not fulfilling its role.Explain the organizational structure of above case study A hiker in Africa discovers a skull that contains 72% of its original amount of C- 14. A hiker in Africa discovers a skull that contains 72 % of its original amount of C 14 . Classicism, as a stylistic period in western music, roughly encompassed the years ______. Question 7 of 25If f(x)=6x,-4 and g(x)=2x+2, find (f- g)(x).OA. 2x-5x2-2OB. 6x-2x-6OC. 4x-6O D. 6x2-2x-2 Mary is running a marathon which is a total of 26 miles. She is running at a pace of 7.5 miles per hour andhas already run 8 miles. If she stays at the same pace, how much time in hours does she have left? (Round your answer to the nearest tenth) Hello can someone help me please and thanksss