A rectangular box is 8 inches long, 10 inches wide and 6 inches tall. What is the approximate length of its longest diagonal? 10 inches 14.1 inches 4.9 inches 24 inches​

Answers

Answer 1

Answer:

d = 10 inches

Step-by-step explanation:

It is given that,

The length, breadth and the height of a rectangular box is 8 inches×10 inches ×6 inches

We need to find the length of its longest diagonal.

In a rectangle, 6 inches will act as perpendicular and 8 inches will be base. The diagonal can be calculated using Pythagoras theorem as follows :

[tex]d=\sqrt{8^2+6^2} \\\\=\sqrt{64+36}\\\\=10\ \text{inches}[/tex]

So, the length of its diagonal is 10 inches.


Related Questions

pls help this is due today

Answers

Answer:

50.137

Step-by-step explanation:

You can split the triangle into two triangles both with base 3 and height 12

The area of the two triangles is

[tex]2 * (1/2) * B * H\\B*H = 3* 12 = 36[/tex]

The area of a circle is [tex]\pi r^2[/tex]

so the area of the semi circle with r(adius) 3 is

[tex]\pi r^2/2\\9\pi/2[/tex]

[tex]9\pi/2 + 36 = 50.137[/tex]

Can someone guide me step by step on how I hack my grades on a apple/hp laptop

Answers

Answer:

no sorry lol but just try harder

what is the answer to

-6+n=6
How do you solve it

Answers

Answer:

n=12

Step-by-step explanation:

-6+n=6

n=6+6

n=12

You have to leave the n by its self so u have to do the opposite of the sign -6 =6 so add the 6 to the other side which gives you 12 so n=12

Find the arc length

Answers

Answer:

Step-by-step explanation:

Arc length = 1/4 * circumference

Circumference = 2*pi*r = 2*pi*10 = 20pi

Arc length = 1/4 * 20pi = 5pi

By what expression can 3
x-1 be multiplied to yield the product 3x3+5x2+x-1?

Answers

Answer:

x^2 + 2x + 1

Step-by-step explanation:

Divide the original equation by 3x-1

Can I please get HELP? ( Picture included)

Answers

Answer:

no entiendo la version de esa mathematica

Step-by-step explanation:

Answer:

i think it is 26.

Step-by-step explanation:

180-134=46

180-160=20 so

ABC (46)- XYZ (20)=26.

2x + 3y = 6

y = 2/3x - 2
y = 2/3x + 2
y = -2/3x - 2
y = -2/3x + 2

Answers

Answer:

y= −2/3x+2

Step-by-step explanation:

2x+3y=6

Add -2x to both sides.

2x+3y+−2x=6+−2x

3y=−2x+6

Divide both sides by 3.

3y/3=−2x+6/3

On their last history test, Eric scored five more than twice the points that his friend Josh did. If they scored 134 points altogether, find Eric’s score
plz i need help ASAP

Answers

Answer: Eric got a 91

Step-by-step explanation:

Make two equations:

We know Eric scored 5 points more than 2 times Josh’s score. E=Eric J=josh

Equation: E = 5 + 2(J)

E + J = 134

Solve for E:

J= 134 - E

Plug it into first equation: E= 5+ 2(134-E)

E= 5+(268-2E) add 2E from each side

E+ 2E = 268 + 5 reduce

3E = 273 divide by 3 to find Eric score

E= 91

You can plug it back in to find what josh received 134-91 = 43

To fact check if you multiple josh score of 43 by 2 you receive 86 which is indeed 5 points lower that 91 so it’s correct.

what is 0.72 equivalent to?​

Answers

Answer:

18/25

Step-by-step explanation:

Answer:

72%, or, 18/25

Step-by-step explanation:

I just converted 0.72 into a percentage and a fraction. I hope this helps! :P

Are 3/4 and 16/20 equivalent? Why or why not is one fraction smaller/larger than the other? How do you know

Answers

Answer:

No they are not equivalent because 3/4 would be equivalent to 6/8, 9/12, 12/16/ 15/20. 16/20 would be the greatest fraction because in its simplest form it would be 4/5.

10 points
Find the DISTANCE between point (3, -8) and point (-11,5). *

Answers

Answer:

19.1

Step-by-step explanation:

Which of the following forms a proportion?
5/9 = 14/18 3/5 = 21/35 6/12 = 18/34 1/8 = 2/24

Answers

Answer:

3/5 = 21/35

Step-by-step explanation:

if you reduce 21/35 it is 3/5 so it is the same thing

If window washers can wash 15 windows in 18 minutes, how long will it take them to wash 10,00

Answers

Answer:

1200

Step-by-step explanation:

15/18 * 1000/x

x = 1200

Answer:

1200 minute / 20 hour

Step-by-step explanation:

[tex]1000 \times 18 = 18000[/tex]

[tex]18000 \div 15 = 1200[/tex]

T = CB-5, for C
C=


What’s the answer

Answers

Answer:

C=t/b + 5/b

Step-by-step explanation:

Please make me Brainliest

plz help me its due soon :( im sad

Answers

Answer:

your answer should be 25 feet

Step-by-step explanation:

Answer:

why are you sad

Step-by-step explanation:

25 ft

Let $f(x) = 2x - 3$ and $g(x) = x + 1$. What is the value of $f(1 + g(2))$?

Answers

Answer:

The value of f(1 + g(2)) is 5

Step-by-step explanation:

Let us solve the question

∵ f(x) = 2x - 3

∵ g(x) = x + 1

We need to find the value of f(1 + g(2))

That means we will replace x in f(x) by 1 + g(2)

→ g(2) means substitute x in g by 2

∵ g(x) = x + 1

∵ x = 2

∴ g(2) = 2 + 1

g(2) = 3

∵ x of f = 1 + g(2)

∵ g(2) = 3

∴ x of f = 1 + 3

x of f = 4

→ To find f(1 + g(2)) substitute 1 + g(2) by 4

∵ f(x) = 2x - 3

∵ x = 4

∴ f(4) = 2(4) - 3

∴ f(4) = 8 - 3

f(4) = 5

f(1 + g(2)) = 5

need answer asap Whole numbers: ___ + ___ + ___ = _____ cups of soup mix.

Answers

Answer:

1+2+3=6 lol jk i dont have the numbers that they gave you

Step-by-step explanation:

I promise u your gonna have a bright future if u help me with this ! and I'll brainlist ​

Answers

a)
x 0 1 2 3 4
y 5 10 15. 20. 25

b) x 0 1 2 3. 4
y 1. 10. 37. 82. 145

11. A) x = 0

y = 2x + 5

=> y = 2 * 0 + 5

=> y = 0 + 5 = 5

=> y = 5 (First blank)

x = 1

y = 2x + 5

=> y = 2 * 1 + 5

=> y = 2 + 5 = 7

=> y = 7 (Second blank)

x = 2

y = 2x + 5

=> y = 2 * 2 + 5

=> y = 4 + 5

=> y = 9 (Third blank)

x = 3

y = 2x + 5

=> y = 2 * 3 + 5

=> y = 6 + 5

=> y = 11 (Fourth blank)

x = 4

=> y = 2x + 5

=> y = 2 * 4 + 5

=> y = 8 + 5

=> y = 13 (Fifth blank)

11. B)  x = 0

=> y =  

=> y = 3 * 0 * 0 + 1

=> y = 0 + 1

=> y = 1 (First blank)

x = 1

=> y =  

=> y = 3 * 1 * 1 + 1

=> y = 3 + 1

=> y = 4 (Second blank)

x = 2

=> y =  

=> y = 3 * 2 * 2 + 1

=> y = 12 + 1

=> y = 13 (Third blank)

x = 3

=> y =  

=> y = 3 * 3 * 3 + 1

=> y = 27 + 1

=> y = 28 (Fourth blank)

x = 4

=> y =  

=> y = 3 * 4 * 4 + 1

=> y = 48 + 1

=> y = 49 (Fifth blank)

For more info, here's a picture,

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

Bags of cat food can be
purchased in the sizes shown.
Drag the bags to the boxes to
order them based on their price per ounce

Answers

Answer:

(72 oz.     $17.99)------------>Least expensive

(32 oz.     $7.32)------------>middle

(48 oz.     $9.60)------------>most expensive

Step-by-step explanation:

Once you understand how to do it, it's easy!

Just divide the ounces by the price to findout the cost

72 ÷ 17.99 = 4.00

32 ÷ 7.32  = 4.37

48 ÷ 9.60 = 5.00

4.00 < 4.37 < 5.00

Least, Middle, most

Good Job! Pls Brainliest!   ;)

Which one of the relationships described is not proportional?

a.
Cedrick earns $9.75 for each day he pet-sits; is the relationship between the money he earns and the days he works proportional?

b.
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?

c.
The length of the side of a square and its perimeter; is the relationship between the measurements proportional?

d.
A car travels at a constant speed of 35 miles per hour is the relationship between the distance and the time proportional?


Answers

Answer:

Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?

Step-by-step explanation:

i just did it

Hi I need help :( Pls show your working..Will give brainliest for helpful answer​

Answers

Answer:

number 10

dy/dx =(dy/dt).(dt/dx)

now find

dy/dt=4t-1. , dt/dx=1

so : dy/dx=(4t-1).(1)

dy/dx= 4t-1 ,we have x=t-3-----> t=x+3

subtitute at t

dy/dx= 4(x+3)-1=4x+12-1= 4x+11

Two negative consecutive integers have a sum of -39. What are the
integers?

Answers

Answer:

I think the integers are -19 and -20.

Step-by-step explanation:

Hope this helps!

The temperature in Monarch, Wisconsin, was -3° F at 6:00 a.m. The temperature rose 12 degrees in 9 hours. What was the temperature in Monarch at 3:00p.m.?​

Answers

Answer:

9 degrees

Step-by-step explanation:

The temperatire was -3 and then rose by 12, -3 + 12 = 9

A certain test is scored by adding 1 point for
each correct answer and subtracting 1/4 of a
point for each incorrect answer. If Jan answered
31 questions correctly and 9 questions incor-
rectly, what was her score?
a. 28 3/4
b. 28 1/4
c. 26
d. 22 1/4

Answers

Answer:

A

Step-by-step explanation:

31 correcct answers gives her 31 points, then you subtract 9/4 for the 9 incorrect answers to get twenty eight and 3/4

Charlene Langhorst's gross weekly salary is $680. Her federal withholding is $101.62. Her employer takes out the standard rates for FICA (Social Security/Medicare). The state tax is 1.5% of gross pay. Each week she pays $32.40 for medical insurance. What are Charlene's total weekly deductions? *

Answers

Answer:

Total deductions =  $196.24

Step-by-step explanation:

Gross weekly salary = $680

federal holding = $101.62

FICA standard rate = 7.65% of gross earnings

= 7.65% of $680 = 0.0765 × 680 = $52.02

∴ FICA deductions = $52.02

state tax = 1.5% of gross pay = 1.5% of $680

state tax = 0.015 × 680 = $10.2

∴ state tax = $10.2

Medical insurance = $32.40

Total Deductions = 101.62 + 52.02 + 10.2 + 32.40 = $196.24

3x²-75=0 find the square root​

Answers

Answer:

[tex]x=\pm5[/tex]

Step-by-step explanation:

First, add 75 to each side.

[tex]3x^2-75+75=0+75\\3x^2=75[/tex]

Next, divide each side by 3.

[tex]x^2=25[/tex]

Now, you can take the square root.

[tex]x = \pm\sqrt25}[/tex]

[tex]x=\pm 5[/tex]


The 12th term of the sequence is 16 the term to term rule is subtract 3.
Work out the 5th term of the sequence. *​

Answers

Answer:

a₅ = 37

Step-by-step explanation:

The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = 16, then

a₁ + 11d = 16 ← substitute d = - 3

a₁ + 11(- 3) = 16

a₁ - 33 = 16 ( add 33 to both sides )

a₁ = 49 , then

a₅ = 49 + (4 × - 3) = 49 - 12 = 37

Factorise Fully:
21b-3b^2

Answers

See attachment for math work and answer.

ANALYZEPLANSOLVEJUSTIFYEVALUATE Pay close attention as you work through this process. You'll be asked to write a journal entry at the end. Bottled water comes in cases of 24 bottles. You need 150 bottles of water for a school event. How many cases of water do you need to buy? Enter a unit that best describes the number. CHECK Number Unit Description

Answers

Answer:

7

Step-by-step explanation:

If a case contains 24 bottles, and if I need to buy 150 bottles, I would need to buy 150 / 24 = 6.25

Because the store would not sell the quarter of a case, I would need to buy 7 cases of water.

All the comic books in a store are the same price. Vera
buys 3 comic books for $7.50. How much do 5 comic
books cost? How much do 8 comic books cost?

Answers

Answer:

The price for 3 comics is $12.50 and the price for 8 comics is $20.00.

Step-by-step explanation:

To calculate the price of one comic, we can divide the price of the comics by the amount bought:

= $7.50 ÷ 3

= $2.50

Therefore, one comic is $2.50

To figure out how much 5 and 8 comics are, just multiply these numbers by the price of one:

= 5 x $2.50

= $12.50

= 8 x $2.50

= $20.00

The price for 3 comics is $12.50 and the price for 8 comics is $20.00.

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