The length width and height of a rectangular solid are 8,4,1 respectively what is the length of the longest line segment whose endpoints are two vertices of this solid

Answers

Answer 1

Answer:

9 units

Step-by-step explanation:

Given

[tex]Length = 8[/tex]

[tex]Width = 4[/tex]

[tex]Height = 1[/tex]

Required

Determine the length of the longest segment

To do this, we use:

[tex]Longest = \sqrt{Length^2 + Width^2 + Height^2}[/tex]

So, we have:

[tex]Longest = \sqrt{8^2 + 4^2 + 1^2}[/tex]

[tex]Longest = \sqrt{64 + 16 + 1}[/tex]

[tex]Longest = \sqrt{81}[/tex]

Take positive square root

[tex]Longest = 9[/tex]

Hence, the length of the longest segment is 9 units


Related Questions

El 15% de las ventas de un comercio ha sido de productos que valían 100€ o más. Si se han realizado 595 ventas de productos que valían menos de 100€, ¿que numero de ventas se han realizado en total?

Answers

Answer:

700 total sales

Step-by-step explanation:

The computation is shown below:

After 15% discount i.e.

= 100 - 15

= 85%

Now

85% = 595 sales of less than € 100

So,

15% = x sales of € 100 or more than € 100

After this

(595 × 15) ÷ 85 = 105 sales of € 100 or more than € 100

The number of total sales is

= 595 + 105

= 700 total sales

A special deck of cards has 10 red cards, 20 blue cards, and 40 green cards. If Tay randomly draws a card, what is the probability that it will be green? ​

Answers

4/7 because you add 10,20,40=70 40/70 simplified is 4/7 :)
the probability is 4/7. can i please get brainliest? hope this helps!!

2. On a scale drawing with a scale of 1 in. to 5 ft, a flagpole is 4 inches tall. How tall is the actual
flagpole?
A. 20in
B. 10in
С. 20ft
D. 200ft

Answers

Answer:

200

Step-by-step explanation:

pls helppp i need helppp

Answers

Answer:

square - quad with four right angles and four congruent sides

rectangle - quad with four right angles

parallelogram - quad with two pairs of parallel sides

rhombus - quad with four congruent sides

trapezoid - quad with one set of parallel sides

71.700 rounded to the nearest hundredth

Answers

Answer:

71.70

Step-by-step explanation:

Answer:

71.70 for sure

I’ll mark brainliest. I really need help on this pleaseee!!

Answers

It is letter B because that is right

can someone help me solve this question for brainliest please:))​

Answers

Answer:

if I'm right, you are trying to find the area of the parallelogram. if you are trying to find the area, then based on the information provided, you need to add the purple side (9.2 cm) with the grey side (2 cm) which gives you 11.2 cm. then you would multiply this answer by the blue line (7 cm) giving you 78.4 cm. finally, you divide this by 2 giving you 39.2 cm. I'm not sure if this was what you were looking for, but I hope this helps either way.

Step-by-step explanation:

(9.2 + 2) x 7/2

11.2 x 7/2

78.4/2 = 39.2

What is the probability of a blue jay being the next bird papa sees

Answers

Answer:

0.421

Step-by-step explanation:

Just add the birds together and divide that into the number of blue jays so 59 blue jays / 140 total birds = 0.421....

i need help pleeeeeeeeeease

Answers

Answer:

D. 140

Step-by-step explanation:

In the equation, [tex]ax^2+bx+c=0,[/tex] the discriminant can be found with [tex]b^2-4ac[/tex].

In this equation,

the discriminant would be: [tex](-10)^2-4(2)(-5)=100+40=140[/tex]

Answer:

D. 140

Step-by-step explanation:

D = b² - 4ac

So, let's identify our values.

a = 2

b = -10

c = -5

Now, we can plug in our values.

D = -10² - 4(2)(-5)

D = 100 + 40

D = 140

Answer fast PLEASE!!! :)

Answers

Answer:

i would say... maybe a or  c

Step-by-step explanation:

im not sure

Please help me, please I will give u the highest raigung

Answers

Answer:

tan(A)=21/20

cos(A)=20/29

7)
You are asked to solve 12x – 18 = 126. Which three statements are true?
A)
First, subtract 126 from both sides.
B)
First, add 18 to both sides.
12x = 144
D)
x=9.
E
x = 12

Answers

The answers is D I had this question

Answer:

B, C, and E

Step-by-step explanation:

-2 log5 (7x) = 2........

Answers

Answer:

Answer is x= 1/35

Step-by-step explanation:

......

write an equation that is parallel to y=8/3x-5 and passes through (-3, -5)

Answers

-5 - y = 8/3 (-3 - x)
Then just expand this and move ‘y’ to make it positive.

-5 - y = -8 -8/3x
y = 8/3x + 3 <—— answer

I used the formula y2 -y1 = m(x2 - x1)

How many bits does it take to identify uniquely every person in the United States (the current population is about 300 million)?

Answers

Answer:

Investing and the rule of 72

Step-by-step explanation:

33 bits

Answer:

It would take 29 bits

Step-by-step explanation:

(log(300000000))/log(2) = 28.16

what is 1842 plus 5939

Answers

The answer to that question is 7781

Answer:

7781

Step-by-step explanation:

1842+5939=7781

imagine if adam sandler died:(

Answers

this would be horrible my favorite movie is big daddy, it’s a classic. i used to watch with my uncle all the time. it reminds me of him so much

Answer:

its a good photo I would miss him so much if it was true

what is the area of the white box

Answers

Answer:

         12 m²

Step-by-step explanation:

The white box is a rectangle with width of:

a = 2 m

and length of:

b = 7 m - 1 m = 6 m

So its area is  A = 2 m × 6 m = 12 m²

{The shaded blue area is: (5 m + 1 m)(8 m) - 12 m² = 48 m² - 12 m² = 36 m²}

answer for brainlest and 10 points

Answers

Answer:

Rational

Step-by-step explanation:

This can be reduced to a ratio of 1/2. Numbers that can be expressed as ratios are rational.

The volume of a sphere with radius length r is 4r3. What is the volume of a sphere with a radius length of 4?

Answers

Answer:

164 cubic units

Step-by-step explanation:

volume of a sphere = (4/3) x (n) x (r^3)

If volume = 4r^3

volume = 4 x (4)^3 = 164 cubic units

Levi and his family belong to a family share plan for their cell phones. The pan includes unlimited minutes, text, and
Internet access for a monthly charge of $250.00 plus $10 for each line. Their plan may include as few as 2 lines and as
many as 12 lines. Complete the table to determine the cost for each plan member. Write a function that can be used
to determine the cost per month, y, for each plan member, X.

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of calculations of bills.

The bill calculation goes as equation,

y = $250 + n*($10)

here, n = number of lines,

1.) For n = 2 , Y = cost = 250 + 20 = $270

2.) for n = 4 , Y = $290

3.) for n = 6 , Y = $310

4.) for n = x, Y = $250 + x*($10)

for lastly 12 members we get as,

Y = 250 + (12)*(10) = 250+120 = $370

The number of cases of a new disease can be modeled by the quadratic regression equation y = -2x^2 + 40x + 8. What is the best prediction for the number of cases in year 15

Answers

Answer:

158 cases

Step-by-step explanation:

Given tbe quadratic regression model :

y = -2x^2 + 40x + 8

y = number of cases of a new disease

x = number of years

The predicted number of cases of a new disease in 15 years can be calculated thus ;

Put x = 15 in the equation ;

y = -2(15)^2 + 40(15) + 8

y = - 2 * 225 + 600 + 8

y = - 450 + 600 + 8

y = 158

158 cases

y
3+
2+
1+
+3
-4 -3
-2 -1
1 2
3
3
4
-1+
-2+
-3
What is the slope of the line?

Answers

Answer:

1.5, -3

Step-by-step explanation:

HELP WILL GIVE BRAINLIESY​

Answers

Answer:

75

Step-by-step explanation:

x=60

i litterly just finished this question and lesson tell me if u need help with others

Find the surface area of the composite solid 6 ft 4 ft 5 ft 5 ft​

Answers

The surface area of the composite solid is 165 [tex]feet^2[/tex].

We possess

4 triangles, each measuring 6 feet in height and 5 feet in base

4 rectangles, each measuring 5 feet long and 4 feet wide

1 square has side a = 5 feet.

The formula for a triangle's area is:

[tex]A_T=\frac{1}{2} bh[/tex]

Substitute:

[tex]A_T=\frac{1}{2} 5*6\\A_T=\frac{1}{2} 30\\A_T=15 ft^2[/tex]

Formula for calculating a rectangle's area:

[tex]A_R=lw[/tex]

Substitute:

[tex]A_R=5*4\\A_R=20 ft^2[/tex]

The formula for a square's area is as follows:

[tex]A_s=a^2[/tex]

Substitute:

[tex]A=s=5^2\\A_s=25 ft^2[/tex]

The composite solid's surface area is:

[tex]SA=4A_T+4A_R+A_s[/tex]

Substitute:

[tex]SA=4*15+4*20+25\\SA= 60+80+25\\SA=165 ft^2[/tex]

The composite solid has a surface area of 165 [tex]feet^2[/tex].

To learn more about surface area, refer:-

https://brainly.com/question/29298005

#SPJ1

Show your work find what x equals
x/2+3/2<5/2 pls don't put a link just answer the question

Answers

Answer:

x < 2

Step-by-step explanation:

I didnt feel like typing it out but the explanation is in the picture hope this helps :)

Answer:

x<2

x/2 plus 3/2 <less than or equal to 5/2

x/2< 2/2 or 1

X < 2 * 1

X < 2

have a great day!!!

The scale on a map is 1in.=20mi. if the distance between two cities on the map is 2.5 inches how far apart are the actual cities?

Answers

Answer:

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░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob

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▀█▌░░░▄░▀█▀░▀ ░░ Copy and paste him so he can take over brainly.

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Step-by-step explanation:

Find g(-4) if g(x) = 8x^2 + 4x

Answers

Answer:

x = - 4

[tex]g(x) = 8 {x}^{2} + 4x[/tex]

g(- 4) =?

[tex]g( - 4) = 8( { - 4)}^{2} + 4( - 4) \\ g( - 4) = 8 \times 16 - 16 \\ g( - 4) = 128 - 16 \\ g( - 4) = 112[/tex]

=> g (- 4) = 112.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Find the area of the figure. (Sides meet at right angles.)

Answers

Area is 50 m^2
5 x 3 = 15
7 x 5 = 35
35 + 15 = 50 m^2

Answer:

The answer would be 50m units squared.

Line / is shown on the graph below. If another line is drawn, perpendicular to line I, what must be its slope?

Answers

Answer:

Undefined

Step-by-step explanation:

The slope on the graph is horizontal so there's no slope and the answer is just y = 3

For a line to be perpendicular to a horizontal line, it is going to be a vertical line.

All vertical lines have an undefined slope.

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