a suitcase measures 24 inches long and 18 inches high, what is the diagonal length of the suitcase?

Answers

Answer 1

Answer:

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

Answer 2

Answer:

the diagonal is 30 inches

Step-by-step explanation:

you assume a suitcase is a rectangular shape, and the diagonal length makes 2 right triangles; therefore you can use Pythagorean theorem

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex] ; where a = 24, b = 18 and c is the diagonal

[tex]24^{2}[/tex] + [tex]18^{2}[/tex] = [tex]c^{2}[/tex]

[tex]c^{2}[/tex] = 576 + 324

[tex]c^{2}[/tex] = 900

c = 30 inches


Related Questions

DO YOU KNOW THE ANSWER???

Answers

Answer: I think it is D x=8(k+c)

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Isolate the variable by diving each side by factors that don't contain the variable, which is 8.

How do I solve this
Thanks

Answers

Answer:

-8

Step-by-step explanation:

-8 * (-2) - 4 * (6) =

16 - 24

0

f(1) = -2

g(4) = 6

Which term describes the place where two planes intersect?

A collinear

B coplanar

C point

D line

Answers

According to my geometry notes two planes intersect at a line. Hope that helps:)

PLEASE ANSWER THESE 4 QUESTIONS WILL MARK BRANLIEST I AM TIMED :)

Answers

Answer:

its 3.

Step-by-step explanation:

HOpe that helped

Ridah has a triangular garden with the sides 28m, 15m and 41m. She has planted rose and marigold plants in her garden. She used two-third of area of the garden for planting rose plants and the rest of the area for marigold. How much area has been used for planting marigold?

Answers

Answer:

Step-by-step explanation:

Owen owns Ultra Iceez, an ice cream stand. On Tuesday morning, he withdrew $120 from the
stand's bank account to pay for new door locks. On Tuesday afternoon, he deposited $315
from the day's sales.
What was the total change in the ice cream stand's bank account relative to where it started?

Answers

Answer:

$95

Step-by-step explanation:

315-120=95

Answer:

195

Step-by-step explanation:

Ms. Lai loves soup. This weekend she visited each of her family member’s house to drink their soup. She drank 2 cups of soup at her aunt’s place, 4 pints of soup at her uncle’s place, and 2 quarts of soup at her dad’s place. Can you find out how many ounces of soup she drank this weekend???? Give explanation this is due in 15 min HELPP pleaseee

Answers

Answer:

112 Ounces

Step-by-step explanation:

2 Cups + 4 Pints + 2 Quarts = 14 Cups

14 Cups = 112 Ounces

Answer:

144 ounces of soup

Step-by-step explanation:

2 cups= 16 ounces

4 pints= 64 ounces

2 quarts= 64 ounces

64+64+16=144

Struggling with this problem need help badly

Answers

Answer:

Step-by-step explanation:

-4 (5x - 1)+ -11 (2x + 4)

Answers

Answer:

−42x−40

Step-by-step explanation:

Solve by completing the square.

[tex]x^{2} -8x-5=-3[/tex]

Type in the step before you square both sides.

format ex. [tex](x+2)^{2} =-87[/tex]

Answers

Answer:

x^2 -8x -5 = -3

x^2 -8x -2 = 0

We complete the square by:

1) Moving the "non X" term to the right:

x^2 -8x  = 2

2) Dividing the equation by the coefficient of X²

The coefficient of x is 1 so we don't do anything

3) Now here's the "completing the square" stage in which we:

      • take the coefficient of X

that is -8

     • divide it by 2

-8 ÷ 2 = -4

     • square that number

-4*-4 = 16

     • then add it to both sides of the  equation.

x^2 -8x +16 = 2 +16

That becomes

(x -4)^2 = 18

we take the square root of both sides:

(x -4) = sqr root (18)

x1 = sqr root (18) +4

AND

(x+4) = sqr root (18) -4

x1 =  sqr root (18) +4 = 4.2426406871  + 4 = 8.2426406871

x2 = sqr root (18) -4 =  = 4.2426406871  - 4 = .2426406871

       

Step-by-step explanation:

5.- Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. ¿Qué fracción de bombones se comieron entre las dos?. Si quedaron 12 bombones, ¿cuántos bombones tenía la caja? (Solución)

Answers

Answer:

La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]

La caja tenía 40 bombones.

Step-by-step explanation:

Sabes que Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. Para conocer la fracción de bombones que se comieron entre ambos, debes sumar las fracciones que comieron cada uno:

[tex]\frac{1}{5} +\frac{1}{2}[/tex]

Para hacer suma de fracciones con distinto denominador, lo primero que hay que hacer es determinar un denominador común. Para eso debes calcular el mínimo común múltiplo (mcm) entre los denominadores.

En este caso, el mcm entre 5 y 2 es 10.

Ahora tienes que multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividís el m.c.m entre el denominador inicial y el resultado se multiplica por el numerador de esa fracción:

10÷5= 2 ⇒ 2*1= 2 Por lo tanto, 2 es el numerador de la primera fracción.10÷2= 5 ⇒ 5*1= 5 Por lo tanto, 5 es el numerador de la segunda fracción.

Entonces:

[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}[/tex]

Ahora  simplemente sumas los denominadores:

[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}=\frac{7}{10}[/tex]

La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]

Sabes que quedaron 12 bombones en la caja. Representando 1 la cantidad total de bombones, y si se comieron 7/10 de la caja, entonces quedaron:

[tex]1-\frac{7}{10}[/tex]

Restando de manera similar al procedimiento usado para la suma se obtiene:

[tex]1-\frac{7}{10}=\frac{3}{10}[/tex]

Finalmente podes aplicar la siguiente regla de tres: si 3/10 representa los 12  bombones que quedaron en la caja, entonces en 1 (que representa la cantidad total de bombones) cuantos bombones hay?

[tex]cantidad total de bombones=\frac{1*12}{\frac{3}{10} }[/tex]

cantidad total de bombones=40

La caja tenía 40 bombones.

The terms of a percentage lease state that rent is 3% of sales up to $100,000 and 2% of sales over $100,000. Your business plan projects monthly sales to average $190,000 per month. There is a $300 per month maintenance fee. What do you project as an average monthly rent plus maintenance fee?

Answers

Answer:

The projected average monthly rent plus maintenance fee is $4,100

Step-by-step explanation:

In the question, we are told that the percentage lease terms state that rent is 2% of sales over $100,000

Since sales is $190,000 projected,

the percentage will be 2% of 190,000

= 2/100 * 190,000 = $3,800

we now proceed to add the monthly maintenance fee

That will be $3,800 + $300 = $4,100

Answer: 5,100

Step-by-step explanation:

PLEASE HELP URGANT The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A translation maps R to the point (–13, –9). Find the translation rule and the image of U.

Answers

Answer:

translation -(-7, -4)

Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units

Answers

C) reflection over the x-axis

The 400-meter race times at a state track meet are normally distributed with a mean
of 52.71 seconds and a standard deviation of 3.8 seconds. Using the Standard
Normal Probabilities table, what is the approximate probability that a runner chosen
at random will have a 400-meter time less than 53.4 seconds? (5 points)

Answers

Answer:

P = 1.214

Step-by-step explanation:

Draw a normal probability curve.

Find the z score which comes out to be 0.18 (0.181578947)

look for the probability in the table.

look across 0.1 and under 8.

Get the probability and add 0.5 to it

so rhats:

0.714 + 0.5 = 1.214

(Score for Question 2: 4 points)
2. You buy a pair of pants. The original cost of the pants is $30.00. The pants are on
sale for 20% off. Show your work or explain your mental math for each part! Pls explain!

Answers

20/100=0.2
0.2x30.00=6
30-6=24

You need to convert the 20 into a decimal so you divide it by 100 and you will have to multiply the result by the price of the pants (30.00) and it will give you what will be discounted. and he only challenges the result (6) by the price of the pants.
So the answers is 24

Answer: 24

Step-by-step explanation:

30 divided by 10 to get 10 percent which is 3, multiply that by 2 to get 20 percent which is 6, 30 (100 percent) minus 6 (20 percent) equals 24

50 POINTS FOR EACH ANSWER!!! Write the difference of the expressions 17x−13y+8 and 20x+6y and simplify it.

Answers

Answer:

-3x-19y+8

Step-by-step explanation:

Answer:

-3x-19y+8

Step-by-step explanation:

thanks for 50 points.

Rewrite the product as a power: [tex]x^{7} y^{7}[/tex]

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] {x}^{7} {y}^{7} = ({x \times y})^{7} = ({xy})^{7} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer: ❤️❤️(x*y) 7

=(xy) 7

If f(x) = x^2- 6 and g(x) = 2x – 1, determine the value of (gºf)(-3).

Answers

I’m not too sure if I did it correct, but the answer I got was -6x^2+36. I just assumed you’d solve it as usual and then multiply (-3) after distributing-2 to x^2-6. Hope this helps.

Which number does NOT represent a rational number

A. √144

B. √90

C. √100

D. 0.8

Answers

Answer:

Step-by-step explanation:

B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10)   sqrt(10) is irrational.

It will be B (hope it’s correct)

Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. The length of line segment N S is 4 x and the length of line segment S Q is 3 x minus 5.

What is NS?

5 cm
10 cm
20 cm
30 cm

Answers

Answer:

11

Step-by-step explanation:

Help me please need it for now

A painter charges $200 plus $25 per can of paint used.

a. Write a function to represent the total charge for a certain number of cans
of paint.

b. What is the value of the function for an input of 4, and what does it
represent?

Answers

Answer:

A- 200+25x

B- 200+25×4=300

Continued for question B: The input of 4 into "x" indicates how many cans of paint you have bought

Step-by-step explanation:

PLEASEEE HELP!!!!!
Name the congruent triangles and justify the reason for congruence.
AABC - AFDE by HL
AABC - AEDF by ASA
AABC - AFED by HL
AABC - AFED by ASA

Answers

Answer:

b

Step-by-step explanation:

i just took the test

The solution is, ΔABC ≅ ΔFDE by SAS congruence rule.

The correct option is (1).

What are congruent triangles?

Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.

here, we have,

As per the given data:

In ΔABC :

∠A = 63°

AC = 2.2

In ΔFED :

∠F = 63°

FE = 2.2

By using the distance formula, we can find AB and FD.

From the coordinates, as we can see in the diagram

FD = 2 units

Similarly,

AB = 2 units

Now from SAS congruence rule:

AB = FD (Both are 2 units)

∠A = ∠F (given)

AC = FE (given)

Hence, ΔABC ≅ ΔFDE by SAS congruence rule.

To learn more about congruent triangles, click:

brainly.com/question/12413243

#SPJ7

Yesterday Jack drove 39 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per​ gallon?

Answers

Answer:

31.6 or 31 6/10 or 31 3/5

39.5/1.25 = 31.6

Jack gets 31.6 miles per gallon.

.25 = 1/4

.5 = 1/2

Multiple choice question

Answers

Your answer would be A.
I think I may be wrong.

Answer:

d

Step-by-step explanation:

2 X 4 =8

8 X 1 = 8

i will mark brainliest!!!! !!


(picture included with ONE question ^^^^^)

Answers

Answer:

2 and 4

Step-by-step explanation:

the number of years after 2000 cannot be negative, nut it can be 0 since you can say that it is the year 2000

so an inequality would be t is greater than or equal to 0, and you can write this as t [tex]\geq[/tex] 0

4 is just saying what t [tex]\geq[/tex] 0 in word form: t is greater than or equal to 0

Which graph shows the solution to the inequality –0.5x ≤ 7.5?
__________________________________________________
A) A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the right of the circle is shaded.

B) A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the left of the circle is shaded.

C) A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the right of the circle is shaded.

D) A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the left of the circle is shaded.
__________________________________________________

Answers

Answer:

The first option

Step-by-step explanation:

Finished assignment

Answer:

the first option

Step-by-step explanation:

State the slope and y intercept of this Y= -5x -1

Answers

Answer:

Slope: -5

y-Intercept: -1

Step-by-step explanation:

In the equation y = mx + b (its the form of a linear equation) the slope is m and the y-intercept is b. Comparing that to the problem, we can see that m = -5 and b = -1. So, the slope is -5 and the y-intercept is -1.

Answer:

y= -5x -1

y=mx+b

b- is y intercept

m-is slope

Step-by-step explanation:

1) Last year, Springfield Middle School had 640 students. This year, it has 480
students. What is the percent of decrease? *

Answers

The percent of decrease is -25%.

Given that,

Last year, Springfield Middle School had 640 students. This year, it has 480 students.

Calculation:

[tex]= (480 - 640) \div 640\\\\= -160 \div 640[/tex]

= -25%

Find out more information about percentage here:

https://brainly.com/question/26080842?referrer=searchResults

Can someone please tell me if these are right??? Please be honest and only answer if you truly know please:)

Answers

Answer:

Yes, I think they are right cause i got the same answer

Step-by-step explanation:

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