Find the diagonal of the box using the Pythagorean Theorem.

Find The Diagonal Of The Box Using The Pythagorean Theorem.

Answers

Answer 1

Answer:

26 cm

Step-by-step explanation:

Given:

Length = 24 cm

Width = 8 cm

Height = 6 cm

Required:

Diagonal of the box

SOLUTION:

Using the pythagorean theorem, [tex] a^2 + b^2 + c^2 = d^2 [/tex], where,

a, b and c are the dimensions of the box, and d is the length of the diagonal.

Plug in the value into the formula

[tex] 24^2 + 8^2 + 6^2 = d^2 [/tex]

[tex] 676 = d^2 [/tex]

[tex] \sqrt{676} = \sqrt{d^2} [/tex]

[tex] 26 = d [/tex]

Length of diagonal of the box = 26 cm


Related Questions

The mural of your school mascot is $4$ feet by $12$ feet and is to be completely framed using a single row of square tiles each $2$ inches on an edge. If the tiles are $\$0.10$ each, find the cost, in dollars, of the tiles needed to frame the mural.

Answers

Answer:

$19.2

Step-by-step explanation:

The school mascot is rectangular in nature.

Perimeter P = 2(L+W)

L is the length = 4feet

W is the width = 12 feet

Perimeter = 2(4+12)

Perimeter = 2(16)

Perimeter  = 32 feet

Convert to inches

12in = 1feet

x = 32 feet

Cross multiply

x = 12 * 32

x = 384in

Hence the perimeter of the school mascot is 384in

If it is to be completely framed using a single row of square tiles each 2inches on an edge

2 inches = 1 tiles

384inches = y tiles

Cross multiply

2y = 384

y = 384/2

y = 192 tiles

The number of tiles needed is 192 tiles

Get the cost of 192tiles

If the tiles are $0.10 each. 192 tiles will cost 192 * 0.1 = $19.2

Hence the cost of the tiles needed is $19.2

thank yaal for answerin ;)

Answers

Answer:

B is the answer

Step-by-step explanation:

Rigid motion they don't change shape or size just move around.

Which of the following statements about rational numbers is false?

A. Every natural is a whole number, integer, and a rational number.

B. Every integer is a rational number.

C. A natural number is also a whole number.

D. Every rational number is also an integer

Answers

Answer:

D. Every rational number is also an integer

Step-by-step explanation:

Some rational numbers are integers, but not all of them

find the area of Rhombus if its diagonals measure 18 cm and 21 cm​

Answers

Answer:

189 cm²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × product of diagonals

   = [tex]\frac{1}{2}[/tex] × 18 × 21 = 9 × 21 = 189 cm²

A skating rink changes one admission price for adults and a different admission price for children. The total admission price for a group of 4 adults and 10 children is $57. The total admission price for a group of 3 adults and 7 children is $41. What are the admission prices for an adult and for a adult?

Answers

Given:

The total admission price for a group of 4 adults and 10 children is $57.

The total admission price for a group of 3 adults and 7 children is $41.

To find:

The admission prices for an adult and for a children.

Solution:

Let the price of an adult be x and price of children be y.

According to the question,

[tex]4x+10y=57[/tex]         ...(i)

[tex]3x+7y=41[/tex]      ...(ii)

Multiply equation (i) by 3.

[tex]12x+30y=171[/tex]         ...(iii)

Multiply equation (i) by 4.

[tex]12x+28y=164[/tex]      ...(iv)

Subtract (iv) from (iii).

[tex]12x+30y-12x-28y=171-164[/tex]

[tex]2y=7[/tex]

Divide both sides by 2.

[tex]y=3.5[/tex]

Put y=3.5 in (i).

[tex]4x+10(3.5)=57[/tex]

[tex]4x+35=57[/tex]

[tex]4x=57-35[/tex]

[tex]4x=22[/tex]

Divide both sides by 4.

[tex]x=5.5[/tex]

Therefore, the price for an adult is $5.5 and price for a child is $3.5.

What is the range of y = x + 20?

Answers

Y= 20
X=20
Explanation

4. Find the volume for a sphere with a radius of 7 cm. Round to the nearest whole number. (1 point)
O 307 cm 3
O 1,436 cm3
O 1,020 cm 3
0615 cm
5. Find the radius of a sphere with a surface area of 804 cm (1 point)
9 cm
O 8 cm
O 64 cm
204 cm

Answers

Answer:

about 1437

about 2144

Step-by-step explanation:

i looked it up on google :)

Answer:

8

Step-by-step explanation:

The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
%

Answers

Answer:

216$

Step-by-step explanation:

Answer:

41.2%

Step-by-step explanation:

[tex]Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\[/tex]

So the percentage increase was 41.2%

15 is what % of 60:(

Answers

Answer:

25%

Step-by-step explanation:

What is correct?
Screenshot below
I will give out 11 points

Answers

The first sentence is true
The first sentence from that question is true because they are all smaller than the largest number

Given the following function, find f(-5), f(0), and f(3).

f(x)=x? + 3

f(-5)=

f(0) =

f(3) =

Answers

Answer:

f(-5)= -2

f(0) =  3

f(3) = 6

Step-by-step explanation:

f(x) = x + 3

f(-5) = -5 + 3

= -2

f(0) = 0 + 3

=3

f(3) = 3 + 3

=6

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:12x^3y^5

Step-by-step explanation:

Answer:

[tex]\huge\boxed{12x^3y^5}[/tex]

Step-by-step explanation:

[tex]4x^2y^3\times3xy^2=(4\cdot3)(x^2\cdot x)(y^3\cdot y^2)=12x^{2+1}y^{3+2}=12x^3y^5[/tex]

A major arc will have a measure that is
A. less than 180°
B. equal to 180°
C. greater than 180°​

Answers

I think it’s C. Greater than 180 I’m not sure though don’t get mad if I’m wrong

9514 1404 393

Answer:

  C.  greater than 180°

Step-by-step explanation:

Arcs are classified as "major" or "minor" depending on whether they are more or less than half a circle. A major arc is more than half a circle so is greater than 180°.

What is the solution to
2x + 8 < 3x - 4?


A) X < 12
B) X > 12/5
C) X > 12
D) X < 12/5

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is choices C.

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x+8<3x−4

Step 1: Subtract 3x from both sides.

2x+8−3x<3x−4−3x

−x+8<−4

Step 2: Subtract 8 from both sides.

−x+8−8<−4−8

−x<−12

Step 3: Divide both sides by -1.

−x/-1<−12/-1

x>12

Question 4 (10 points)
Which sentence is written in third-person point of view? (10 points)
a
Once a small crowd of protesters, we were now an angry mob.
b
Our small crowd of protesters was now an angry mob.
c
The small crowd of protesters had turned into an angry mob.
d
Your small crowd of protesters has now become an angry mob.

Answers

Answer:

C, "The small crowd of protesters had turned into an angry mob".

Step-by-step explanation:

A and B are 1st person point of view because of "we" and "our". D is 2nd person point of view because of "your".

Answer:

c. The small crowd of protesters had turned into an angry mob.

Point of view is a way the voice sounds.

1st person uses: I, we, she, he, her, my. (it sounds like you are in their head.)

2nd person uses: you, your. (it sounds like the narrator is talking directly to you.)

3rd person uses: they, them he, her. (it sounds like someone is watching the story happening and is telling it from an outside point of view.

1st: My friends and I can't wait until Christmas.

2nd: You and your friends can't wait until Christmas.

3rd: Macy and her friends can't wait until Christmas.

Identify the solution that has grouped the like terms correctly.

-2+6y+m-2y+8-4m


Answers

Answer:

C

Step-by-step explanation:

The terms with the same variable are like terms.

what is 4.5+1.5k=18-3k

Answers

Answer:  k = 3

Step-by-step explanation:

1

Combine multiplied terms into a single fraction

4

.

5

+

1

.

5

Answer:

Thr33

Step-by-step explanation:

3

what’s the value for x

Answers

Answer:

53

Step-by-step explanation:

move 82 down next to (2x-8)

if 82+2x-8 is 180, x is 53

Answer:

2x-8=98

2x=106

×=53 is the right answer

-4x + 7y = 18
4x - y = -3
solve using either the substitution or elimination method
pls show solving steps
will mark brainliest​

Answers

Answer:

​​

Step-by-step explanation:

Subtract 7y7y from both sides.

-4x=18-7y−4x=18−7y

2 Divide both sides by -4−4.

x=-\frac{18-7y}{4}x=−

​4

​18−7y

The first person to answer my questions wins a brainlist IF THERE RIGHT. alright

I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?

This riddle relies on tricking you into thinking about ears and a mouth. You get a tiny hint about wind to encourage you to think broadly and avoid the literal.

Answers

Answer:

An Echo

Step-by-step explanation:

HELP ASAP!! WILL MARK BRAINLIEST!!!
Varsha wants to stay in Bolandia City for four nights and has a choice of four hotels. She will stay at the same hotel for all four nights. She requires internet access throughout her stay and breakfast each morning.
Which hotel is the cheapest.
Need steps.

Answers

Answer:

First of all i just did this in school! <3 And second of all I WILL HELPP!!

Step-by-step explanation:

its luxuryyyyy!!!!!!!!!

Given that triangle RST is isosceles, find the value of ZS

Answers

Answer:

120°

Step-by-step explanation:

[tex]m\angle S = 180\degree - 2\times 30\degree \\\\

m\angle S = 180\degree - 60\degree \\\\

\huge\purple {\boxed{m\angle S = 120\degree}} [/tex]

Can somebody help me out with this ??? please .

Answers

Answer:

Step-by-step explanation:

you have alternate angles, which are equal

6z-91=71

6z=71+91=162

z=162/6=27

z=27

y=180-27=153

let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)

Answers

Answer:

(f - g)(x) = -x² + 3x + 5

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Function NotationCombining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 5

g(x) = x²

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute:                   (f - g)(x) = 3x + 5 - x²Rewrite:                       (f - g)(x) = -x² + 3x + 5

Kristi rides her bike to school and has an odometer that measures the distance traveled. She subtracts this distance from the distance to the school and records the distance that remains between her and the school. Find the intercepts. What do the intercepts represent?

Answers

The y-intercept represents when she starts riding her bike while the x-intercept is the the time it takes her to get to her school.

How to Interpret x and y intercepts?

The complete question shows us a table with time travelled being on the x-axis while distance remaining is on the y-axis.

We see from the table that at 0 minutes travelled, the distance remaining is 5500 ft. Thus, the y-intercept represents when she starts riding her bike at 0 minutes and 5500 ft left to cover.

We see also from the table that after 8 minutes covered, she has 0 ft left to travel. Thus, the x-intercept is the the time it takes her to get to her school which is 8 minutes.

Read more about Intercepts at; https://brainly.com/question/3951754

#SPJ2

Solve for x
9(x-1)=81
x=

Answers

Answer:

x=10

Step-by-step explanation:

[tex]9x-9=81\\9x=90\\x=10[/tex]

On Thursday, 300 adults and children attended a show. The ratio of adults to children was 4 to 1. How many children attended the show?

Answers

Answer:

plz make it brainlisted

Step-by-step explanation:

Since the total is 300 and the ratio is 4:1,

Let us suppose the number of adults be 4x and children be x;

According to the question,

4x+x=300

or,5x=300

or,x=(300/5)

or,x=60

So, 60 students attended the show.

Answer:

75

Step-by-step explanation:

4:1 children meaning 1/4 of the population of 300 is 75

what is the volume of a regular octahedron inside a cube with the length of its sides measuring 4 centimeters ​

Answers

Answer:

We conclude that the volume of a regular octahedron will be:

[tex]\:\:V\:\approx \:30.17[/tex] cm

Step-by-step explanation:

Given

The length of one of the side or edge of a regular octahedron = a = 4 cm

To determine

The volume of a regular octahedron = V

Using the formula to determine the volume of a regular octahedron

[tex]V\:=\:\frac{\sqrt{2}}{3}a^3[/tex]

substituting a = 4 in the volume equation

[tex]V=\frac{\sqrt{2}\cdot \:4^3}{3}[/tex]

[tex]V=\frac{64\sqrt{2}}{3}[/tex]         ∵ 4³ = 64

[tex]\:\:V\:\approx \:30.17[/tex] cm

Therefore, we conclude that the volume of a regular octahedron will be:

[tex]\:\:V\:\approx \:30.17[/tex] cm

What is the number of terms in this expression?
+4.6
Enter your answer in the box.

Answers

Answer:

joe mama

Step-by-step explanation:

BRAINLIEST. The formula Tn = 200 – 6n²

Answers

what’s the problem ??
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