1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zepelin [54]
3 years ago
15

What is the longest stick that can be placed within a box whose inside dimension are 24 inches, 30 inches, and 18 inches?

Mathematics
1 answer:
Montano1993 [528]3 years ago
3 0

Answer:

42.42 inches

Step-by-step explanation:

Given the dimension of the box are 24 inches, 30 inches, and 18 inches.

Considering the box is in rectangular in shape.

We also know that longest part of the box is the diagonal.

∴ lets calculate the diagonal to find longest stick that can be placed within a box.

Diagonal= \sqrt{a^{2}+b^{2}+c^{2} }

Where a,b,c are the dimensions of the box.

Diagonal= \sqrt{24^{2} +30^{2}+18^{2} }

⇒ Diagonal= \sqrt{576+900+324}

⇒ Diagonal= \sqrt{1800}

⇒ Diagonal= 42.42 inches

Hence, 42.42 inches longest stick that can be placed within a box.

You might be interested in
The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weig
Annette [7]

Answer:

0.24315

Step-by-step explanation:

Using the z score formula to solve this question

z = (x - μ) / σ,

Such that:

x = raw score

μ = population mean

σ = population standard deviation.

From the question:

x = 3000

μ = 3550

σ = 870

z = (3000 - 3550) / 870

z = -550/870

z = -0.6962

Using the z score table as well as probability calculator(as requested in the question to find the z score)

The probability of having less than 3000 is obtained as:

P(x<3000) = 0.24315

7 0
3 years ago
How many solutions does the system have? \begin{cases} 3x+y=8 \\\\ 2x+2y=8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 3x+y=8 2x+2y=8 ​ Choose 1
ELEN [110]

Answer:

This system has one solution (x=2 and y=2), then the answer is A.

Step-by-step explanation:

The system of equations is:

3x+y=8 (1)

2x+2y=8 (2)

Let's multiply the first equation by 2 and subtract it to the second equation  

6x-2x+2y-2y=16-8

4x=8  

x=2

Using this value in (1) we can find y.

3(2)+y=8

6+y=8

y=2

Therefore, this system has one solution (x=2 and y=2), the answer is A.

I hope it helps you!

3 0
3 years ago
Find the Greatest Common Factor of 15 and 20
puteri [66]

Answer:

5

Step-by-step explanation: i created the list of numbers.

15: 1,3,<u>5</u>,15

20: 1,2,4,<u>5</u>,10,20

can i get branliest

4 0
3 years ago
Find x to the nearest hundredth place.
Arada [10]

Answer:

C.  24.27 cm

Step-by-step explanation:

sin 65° = opposite ÷ hypotenuse

sin 65° = 22/x

multiply both sides of the equation by x

(sin 65°)x = 22

divide both sides of the equation by sin 65°

x = 22 ÷ sin 65°

punch in 65 sin into your calculator

x = 22 ÷ 0.90631

x = 24.27 cm

7 0
2 years ago
Which place value do you use to<br> compare 437,812 and 432,729?
dusya [7]

Answer: the hundreds place

8 0
3 years ago
Other questions:
  • A rectangular flying carpet is 1 1/2 m wide and 2 m long what is the area of the carpet
    13·1 answer
  • Can someone help me ?? :(
    13·1 answer
  • • Jeff knows that his semi-trailer truck is 3.2 m high. A tunnel is marked as
    14·1 answer
  • veterinary doctors marked 50 deer and released them. later on they counted 200 deer, 22 where marked. to the nearest whole numbe
    8·1 answer
  • The base of a solid is the region in the first quadrant bounded above by the line y = 5, below by y = sin−1(x), and to the right
    11·1 answer
  • Stickers are sold in packs of 10 stickers or as singles. Miss Allen wants to buy 33 stickers. What are all of the ways she can b
    6·2 answers
  • K=3yz solve for y algebra 1
    15·1 answer
  • a bacteria triples it’s original population in 25 hours (A=3A0). How big will it’s population be in 100 hours
    14·1 answer
  • Haley is printing admission tickets for her school dance. So far, she has printed 112 tickets. She knows that she needs to print
    15·1 answer
  • A rectangular picture frame has the dimensions shown in
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!