A suitcase is 27 inches long and
24 inches wide. What is the
diagonal length of the suitcase?

Answers

Answer 1

Answer:

The diagonal is 30 inches

step-by-step explanation:

The diagonal is 30 inches

Step-by-step explanation:

Assuming a rectangular suitcase (with right angles), we can use the Pythagorean theorem to solve this

a² + b² = c²

so we plug our two values to find the diagonal (hypotenuse)

24² + 18² = c²

576 + 324 = c²

900 = c²

c = √900

c = 30

The diagonal is 30 inches


Related Questions

Please help me solve |m| = -10. ​

Answers

Answer:

m=10

Step-by-step explanation:

-10 is 10 away from zero which is what the lines are asking for

Roberto has $200 in spending moneyHe wants to buy some video games that cost $25.50 eachWrite solve an inequality to find the number games, that Roberto can buy Enter your answer in the box
x>24 or x<24

Answers

Answer:

Roberto can buy 7 videogames.

Step-by-step explanation:

Given that Roberto has $ 200 in spending money and he wants to buy some video games that cost $ 25.50 each, to determine the number of games he can buy, the following inequality must be resolved:

25.50X = 200

X = 200 / 25.50

X = 7.84

Thus, since the whole number is 7, with $ 200 you can buy 7 video games, and there will be $ 21.5 (200 - 178.5) left over.

Each student wrote a two-step equation. Peter wrote the equation 6x − 3 = 12, and Andres wrote the equation 24x − 12 = 48. The teacher looked at their equations and asked them to compare them. Complete the description of one way in which the equations are similar.


To get Andres' equation, you can multiply every number in Peter's equation by
__.

Answers

Answer:

Step-by-step explanation:They are essentially the same equation. Andre's equation is the same as Peter's, just all the numbers are multiplied by 4. Both equations have the same answer, which is 13/6, or 2.167

Find the area of the shaded region below



289 square yards


36 square yards


325 square yards


253 square yards

Answers

Answer:

the answer 253. 17x17 289-36= 253

Select the correct answer. A sample of a certain type of bacteria is enclosed in a glass container on March 1st. The sample of bacteria starts to grow and cover the bottom surface of the container in such a way that the area covered by the bacteria doubles every day. If it continues to grow in this way, the bottom surface of the glass container will be entirely covered with the bacteria on March 10th. When will a quarter of the bottom surface of the glass container be covered? The bottom surface of the glass container will be covered a quarter of the way on March 9th. The bottom surface of the glass container will be covered a quarter of the way on March 6th. The bottom surface of the glass container will be covered a quarter of the way on March 7th. The bottom surface of the glass container will be covered a quarter of the way on March 8th.

Answers

Answer:

The bottom surface of the glass container will be covered a quarter of the way on March 8th.

Step-by-step explanation:

The bacteria covering the bottom surface of the glass container doubles every day. If the surface is completely covered on March 10th, then one day earlier, on March 9th, half of the surface is covered.

Similarly, if half of the surface is covered on March 9th, then one day earlier, on March 8th, a quarter of the surface is covered.

Therefore, the bottom surface of the glass container will be covered a quarter of the way on March 8th.

The bottom surface of the glass container will be covered a quarter of the way on March 8th.

What is an exponential function?

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = b^x is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

The microorganism protecting the lowest floor of the glass box doubles each day. If the floor is absolutely protected on March 10th, then in the future earlier, on March 9th, 1/2 of the floor is protected.

Similarly, if 1/2 of the floor is protected on March 9th, then in the future earlier, on March 8th, 1 / 4 of the floor is protected. Therefore, the lowest floor of the glass box can be protected 1 / 4 of the manner on March 8th.

Therefore, the bottom surface of the glass container will be covered a quarter of the way on March 8th.

Learn more about exponential functions here:

https://brainly.com/question/3181916

#SPJ2

What is 157,400 rounded to the nearest thousand lol plzz help i forgot <33

Answers

Answer:

shhadhdsnn

Step-by-step explanation:

thanks

PQR is dilated with the center of dilation at the origin and a scale factor of 0.5 to obtain P'Q'R. The triangles corresponding angles are_____ and their corresponding sides are _____ therefore, the triangles are _____

A. congruent; proportional; similiar

B. congruent; congruent; congruent;

C. Proportional; proportional; similiar

D. Proportional; congruent; congruent

Answers

Answer:A

Step-by-step explanation:

Answer: A

Step-by-step explanation: I took the test

Which one does not belong?

Answers

Answer:

soooooooo where's the rest of the question? LOL

Step-by-step explanation:

What is the question?

. Martin is making curtains. He buys
6 yards of fabric that cost p dollars per
yard and 8 yards of fabric that cost a
dollars per yard. The total amount of
his purchase is given by the expression
6p + 89. What are the terms of this
expression?

Answers

Answer:

green

Step-by-step explanation:

Help me plzzz I will give the Brainliest!!!

Answers

Answer:

24 Blocks

Step-by-step explanation:

Factorise x2 + x - 30

Answers

Answer:

If your polynomial is x^2+x-30, then your answer is (−5)(+6)

I’m confused if someone can explain 15points

Answers

it should be 7.5

If i’m doing the math correctly it should work like PEMDAS. i did the (2.4+5.1) and got 7.5

If you have to completely answer the problem you will do the 6 squared which would equal 36. 36+7.5+3.5=47.

So. Borrrrrring uhhhhh

Answers

I know right

Step-by-step explanation:

tell me about it

Mrs. Diaz has 4 brownies left. She wants to share the brownies equally among her 5 children Which of the following shows the amount of brownies each child can receive?

Answers

Answer: It’s 4/5

Step-by-step explanation: I had that q and got it right

UwU

solve 3x^2-5x+2=0 by using the quadratic formula​

Answers

3x²-5x+2=0

d = b²-4ac

d = (-5)²-4(3)(2)

d = 25-24

d<1

By quadratic formula

x = 5+1/6,5-1/6

x= 1,2/3

HELP ITS REALLY URGENT

Answers

Answer/Step-by-step explanation:

a. m<h = x°

Two angles to use in finding x are <h and 55°

Angle pair formed: linear pair angles

b. x° + 55° = 180° (linear pair)

Subtract 55° from each side

x + 55 - 55 = 180 - 55

x = 125°

c. Given: m<n = y°

Two angles to use in solving for y are: <h and <n

Angle pair formed: alternate exterior angles

d. m<n = y° (given)

m<n = x° = 125° (as solved in 2b)

Therefore:

y = x (alternate exterior angles are congruent)

thus:

y = 125° (substitution)

Factor the trinomial 2x^2+15x+7

Answers

Answer:

(2x+1)(x+7)

Step-by-step explanation:

2x2+15x+7

For a polynomial of the form ax2+bx+c

, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅7=14 and whose sum is b=15

.

Tap for more steps...

2x2+x+14x+7

Factor out the greatest common factor from each group.

Tap for more steps...

x(2x+1)+7(2x+1)

Factor the polynomial by factoring out the greatest common factor, 2x+1

.

(2x+1)(x+7)

A perpendicular angle has been divided into 3 smaller angles. Which equation correctly represents the sum of the perpendicular angle?

Answers

answer choices :      A.   180 ÷ 3 = N    B.       90 × 3 = N  C.     20 + 50 + 60 = N  D.  10 + 30 + 50 = N

Answer:

90x3

Step-by-step explanation:

HURRY PLEASE! AT LEAST ONE PARAGRAPH! Describe in words how to find the surface area of a cylinder if the radius is 5cm and
height is 18cm.

Answers

Answer:

722.57cm²

Step-by-step explanation:

Below, we have listed six basic equations that can be used to derive the explicit formulas of radius of a cylinder:

Volume of a cylinder: V = π * r² * h ,

Base surface area of a cylinder: A_b = 2 * π * r² ,

Lateral surface area of a cylinder: A_l = 2 * π * r * h ,

Total surface area of a cylinder: A = A_b + A_l ,

Surface Area of Cylinders. To find the surface area of a cylinder add the surface area of each end plus the surface area of the side. Each end is a circle so the surface area of each end is π * r2, where r is the radius of the end. There are two ends so their combinded surface area is 2 π * r2.

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . ... Therefore, the volume of the cylinder is about 3016 cubic centimeters.

You Can Use Some Of These Points

Jane buys 220 milliliters of lotion for $7.50. She divides the lotion evenlyamount 5 smaller bottles. How many liters are in each bottle? Show work

Answers

220 (divide sign) 5 = 44ml (change it to liters) 0.044 (move the decimal from 44.0 their by two spots so it would be 0.044)
Your answer would be 0.044

Solve the following inequality. Write your answer as you would with an
equation, but instead use the inequality symbol.
3x +9 < 5x - 3

Answers

Answer:

x>6

Step-by-step explanation:

3x+9<5x-3

3x-5x<-3-9

-2x<-12

x>6

I think it’s x>6 !!!!!!!!!

There are 12 triangles and 3 squares. What is the simplest ratio of
squares to triangles?

Answers

Squares : Triangles
3 : 12
Divide both sides by 3.
The simplest ratio is

1 : 4

Answer:

4:1

Step-by-step explanation:

Both numbers are divisable by 3, so 12 devided by 3 is for and 3 devided by 3 is 1, which would get you 4 : 1

) The Deerfield Township mayor would like to know where his constituents stand on a tax break for local small business that will appear on the upcoming election ballot. To get a better sense he decides to conduct a poll in the community. a. Describe the appropriate intended population the mayor should study. Be specific. b. Describe a method that could be used to select a random sample of size 150 from the intended population. Be as detailed as you can, and pretend you are explaining this to someone with no statistical experience. c. What is the sample for this study

Answers

Answer:

a.) Citizens of Deerfield Township who have the right to vote.

B.) Stratified Random Sampling

C.) The citizens in each strata, 150 voters

Step-by-step explanation:

Deership Citizens who have voting right.

B.)

Stratified Random sampling : A random selection of voters based on criteria such as Dividing the whole township into districts and then random samples of voters is chosen from each district. For instance, if there are 15 different districts, a random sample of 10 voters is chosen from each district.

15 * 10 = 150

C.) The sample refers to a subset of the population which when chosen at random is representative of the larger population. The sample in the study are the voters in each strata.

What is the zero of the function ?

Answers

Answer:

The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

Step-by-step explanation:

a laundry detergent box measures 12 inches by 8 inches by 2.5 inches. What is the volume of the two boxes?

Answers

Answer:

240

Step-by-step explanation:

12 x 8 x 2.5 = 240

Michelle is purchasing a new picture frame to hang in her bedroom. The picture frame is square shaped. What is the area of the interior of the picture frame in terms of c and d?

Answers

I think it's c but I am not sure good luck

Which choices are equivalent to the expression below? Check all that apply.
✓116•✓19
A. ✓116.9
B. 12
C. ✓4•✓4•✓3•✓3
D. ✓144
E. ✓25
F. 4•3

Answers

Answer:

B, D, F

Yes, this is the answer

it costs James an initial 7 fee to ride a taxi. Plus 6S a minute. He ends up paying
$139. How many minutes did he ride the taxi for?

Answers

22 minutes, hope this helps!

the curve of a normal distribution extends indefinitely at the tails but does not ​

Answers

Answer:

But does not touch the horizontal axis.

Step-by-step explanation:

The curve of a normal distribution extends indefinitely at the tails but does not " ​touch the horizontal axis."

The reason for this is that the tails of the curve suggest that a variable can take on any theoretically reasonable value, although the probability of such occurrence is considerably low.

Generally, a normal distribution curve is considered to be asymptotic to the horizontal axis.

In this exercise we have to have knowledge about distribution and complete the sentence, thus we find:

The curve of a normal distribution extends indefinitely at the tails but does not ​ but does not touch the horizontal axis.

What is a normal distribution ?

The great utility of this distribution is associated with the fact that it quite satisfactorily approximates the frequency curves of physical measurements, this curve is known as the normal or gaussine distribution.

Returning to the exercise we have to:

That when we deal with a normal distribution we will have that the tail will not touch the horizontal axis since that way it would mean that it reached zero.

See more about normal distribution at brainly.com/question/12421652

Ahmad lost 50 dollars from his pocket.

Write a signed number to represent this change.

Answers

Answer:

-50

Step-by-step explanation:

it could be X-50=?

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