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

PLEASE HURRY TIMED BRAINLIEST
Which transformations are needed to change the parent cosine function to the cosine function below?

Answers

Answer:

Answer is D

Step-by-step explanation:

Did it on Edge

The transformations are needed to change the parent cosine function to the cosine function is

Vertical stretch of 2 and horizontal compression to a period π/2 and phase shift to π unit left and vertical shift of 1 unit down.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

If you stretch cosine function by a factor of 2, maximum will be y = 2 and minimum will be y = -2.

and, after that you shift it 1 unit down maximum will be y = 1 and minimum will be y = -3

So, vertical stretch of 2 and horizontal compression to a period π/2.

Now, the phase shift to π unit left and vertical shift of 1 unit down.

Learn more about Transformation here:

https://brainly.com/question/22962835

#SPJ7

find the area 5.3in, 8in,4in,8in no links please!

Answers

Answer:

45.4 in is the answer :)

Step-by-step explanation:

you have to split up the shape. I decided to do it into three different parts one long at the bottom with side lengths of 8 and 4. a smaller rectangle at the top left with measurements of 5.3 and 4, (8-4=4) and the triangle which is 4 by 2.7 (8-5.3). You then find the area of each individual shape, for the rectangles you just multiply getting 32 and 21.2 for the smaller one and then find the triangle by using the formula 1/2b*h which gets you 5.4 then you add the three areas together getting 45.4 hope this helps!

Answer: 45.4 is the answer

You cucullate the base x height and then subtract the 4 in. and 5.3 in.

The graph of the quadratic parent function was transformed to create the graph g(x) = f(x) - 9. Which statement about the graphs is true?

Answers Choices
A The graph of g is a reflection of the graph of f across the x-axis.
B. The vertex of the graph is 9 units to the right of the vertex of the graph of f
C. The graph of g is a reflection of the graph of f across the y-axis.
D. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

Answers

9514 1404 393

Answer:

  D. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

Step-by-step explanation:

Subtracting 9 from the function value moves every point on the graph down 9 units. That includes the y-intercept.

  D. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

The area of this shape is

Answers

Answer:

484 yd squared.

Step-by-step explanation:

Since all the sides ars the same length, you multiply 22 by 22 and get 484. Hope this helps sorry if im incorrect.

A total of 200 people attended a carnival. Children tickets to the carnival cost $2.00. Adult tickets to the carnival cost $4.00. In all, the carnival made
$702 from the tickets sold. Show your work.
Write a system of equations to model the above situation. Define your variables.
- Solve the above system. Show your work or explain how you got your answer in the space provided.
-How many adult tickets were sold? How many children tickets were sold?

Answers

Answer:

$15.02

Step-by-step explanation:

add the money then add the 200. to what u get when u add the money

Given that x = 7.4 m and 0 = 26°, work out AB rounded to 3 SF.
B
o
A
С
x х
The diagram is not drawn accurately.
AB =
m​

Answers

Answer:

3.24m

Step-by-step explanation:

SOH

sin(26)=O/7.4

O=7.4 sin(26)

O=3.24 (3sf)

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

9n^4. Should be even on both sides

Ali writes the expression "half of the sum of $9$ and a number." Write an algebraic expression that is equivalent to Ali's expression. Write a second algebraic expression that is different from, but equivalent to, your first expression.

Answers

Answer:

1 ÷ 2(9 + x)

4.5 + 0.5x

Step-by-step explanation:

Given that

We write the expression i.e. half of the sum of $9 and a number

Here we need to write the two expression that is different from each other

So,

Let us assume the number be x.

Now The first equation depend on the information given will be:

= 1 ÷ 2(9 + x)

And, The second equation is

= (9 + x) ÷ 2

= 4.5 + 0.5x

Can anybody tell the answer to this please!?

Answers

Answer:

the height when it was planted

Step-by-step explanation:

it started at 13 and grew 2.5 inches a week

How many solutions does the system of equations below have?
y=x+2
y=x-1
A one
B two
С none
D infinitely many

Answers

Answer:

C

Step-by-step explanation:

Answer:

C:  none

Step-by-step explanation:

Here we have two separate functions named 'y.'  Eliminate 'y' temporarily by equating these functions together:

x + 2 = y = x - 1

Subtracting x from both sides, we get:

0 + 2 = y = 0 - 1, or

       2 = -1

This is never true, so C is the correct answer:  NO solutions.

An easier way in which to do this problem is to visualize the graphs of

y = x + 2 and y = x - 1.  The graphs are parallel straight lines; they never intersect, and therefore we can conclude "no solution."

Aye hello THIS IS FOR 30 POINT AND BRAINLIEST .

Help me on this question please

Possible: impossible:: ______ is to uncertain

Pls help me :c

Answers

If possible is to impossible then certain is to uncertain..

Answer:

its easy answer is certain

4
Select the correct answer.
Shania's test scores in 8 subjects were 88, 91, 85, 74, 69, 72, 80, and 87. Shanla found the middle number of her scores. W
did she find?
O A.
a measure of center
OB.
a measure of variation
Ос.
a measure of neither variation nor center
OD.
a measure of both variation and center
Reset
Next

Answers

Answer:

A: Measure of center, also known as the Median.

Find the volume of a cone that has a radius of 14ft and a height of 18.9ft

Answers

Answer:

[tex]v = \pi {r}^{2} \frac{h}{3} = 14 \times 14 \times 3.14 \times \frac{18.9}{3} = 3877.272[/tex]

Percent Profit or Loss
Calculate the percentage profit if an antique clock is bought at a yard sale for $20 and sold for $100. Type the number only

Answers

400% profit, you made 4 times what you invested.

PLEASE HELP!! Find the circumference of circle K. Round your answer to the nearest hundredth. Circumference = ft

Answers

Answer:

12.57 ft

Step-by-step explanation:

Since triangle ∆EFH is a right angled triangle,side |EF| can be determined by

Sin© = Opposite side ÷ hypothenus side where © is the given angle in the triangle

Sin 60 = 2✓3 ÷ |EF||EF| = 2√3 ÷ sin 60|EF| = 2√3 ÷ 0.8660|EF| = 4ft

Since Line |EF| is a straight line that passes through the centre of the circle and touch two sides of the circumference,

line |EF| is the diameter of the circle

Circumference = 2πr where r = radiusradius = diameter ÷ 2radius = 4 ÷ 2radius = 2 ft

Circumference = 2πr Circumference = 2 × 22/7 × 2Circumference = 12.57 ftCircumference = 12.57 ft

Solve the equation for x

Answers

The equation is x for 8

In how many orders can six people line up from left to right for a group photo?

Answers

Answer:

720 possible orders

Step-by-step explanation:

To order 6 people in a line, let's imagine them as 6 possible spaces:

( )( )( )( )( )( )

Going from left to right, let's start with space 1.

There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.

(6)( )( )( )( )( )

Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:

(6)(5)( )( )( )( )

Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.

(6)(5)(4)(3)(2)(1)

This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.

Multiply them together and we have:

6x5x4x3x2x1 = 720 possible orders.

Hope this helped!

Answer:

We have to arrange 6 people in line

. Now, the number of ways to arrange n items = n!.

Hence, the answer is 6!=

=6×5×4×3×2×1= 720 orders

i really need help please!!

Answers

Answer:

q te ayude tu papá o mamá ajjajajajajajajajajajajajajajaja

A map has a scale of 2 centimeters = 4 miles. Mary's drive to work is represented on the map as traveling 1cm north then 2.5 cm west. Which equation could be used to determine how many miles Mary drives to work?

Answers

Mary drives 7 miles!2cm / 4mi = 1cm / 2mi1(2) + 2.5(2) = 7Please let me know if I am wrong.

Help due in 10 minutes

Answers

Answer:

II and III are right

Step-by-step explanation:

The reason I is wrong is the zeros are (-2, 0) and (4, 0)

Which point is at 1 on the number line?

Answers

Answer:

c

Step-by-step explanation:

The answer for this question is C because 5/6 + 1/6 = 6/6

Help me pls TwT I’m really suck at school

Answers

Answer:

The answer is A.

Step-by-step explanation:

An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees?

84 + 2z = 180
84 + 2z = 180

42 + z = 180
42 + z = 180

84 + z = 180
84 + z = 180

42 + 2z = 180

Answers

Answer:

84 +z= 180

Step-by-step explanation:

Bases of an isosceles ∆ are equal so 42+42= 84

PLEASE HELP
*NO LINKS*

Answers

Answer:

its the 2nd one the answer is 1 because 2 times 1 equals one plus 3=1

Step-by-step explanation:

Find the value of x and y that will make each quadrilateral a parallelogram.​

Answers

Answer:

this question is a bit confusing.

Step-by-step explanation:

here's what I think is the answer

9x-6=6x+9

3x=15

x=5

Which algebraic expression is a polynomial?

4x2 – 3x + StartFraction 2 Over x EndFraction
–6x3 + x2 – StartRoot 5 EndRoot
8x2 + StartRoot x EndRoot
–2x4 + StartRoot 3 Over 2 x EndRoot

Answers

Answer:

Option B.) –6x3 + x2 – √5

Step-by-step explanation:

A is wrong because, polynomial expressions cannot have a variable as a denominator.

C is wrong because there is no constant.

D is wrong because, polynomial expressions cannot have a variable as a denominator.

Hope that helps! :-)

The algebraic expressions which is a polynomial is; Choice B: –6x3 + x2 –√5

What is a polynomial?

An algebraic expression, put simply is an expression made up of integer constants, variables, and the algebraic operators. For example, 5x² − 7xz + c is an algebraic expression.

A polynomial is all of the above and in addition, non-negative integer exponentiation of variables

Only choice B; satisfies this condition as to term in the expression is divided by a variable.

Read more on algebraic expressions;

https://brainly.com/question/90420

Could someone please help me out

Answers

Answer:

It's 108

You add the sides 48 and 24 and then subtract it from 180. That how you get your answer.

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of o°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below O°C (denoted by negative numbers) and some give readings above O C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. A quality control analyst wants to examine thermometers that give readings in the bottom 4%. Find the temperature reading that separates the bottom 4% from the others. Round to two decimal places. A. -1.48B.-1.89 C. -1.63 D. -1.75

Answers

Solution :

It is given that the Precision Scientific Instrument company Manufactures thermometers that provide readings at 0 degree Celsius for the freezing point of water.

A quality control analyst examines the thermometers which provide readings in the bottom of 4%.

Using the standard normal table, we get

P(z < z) = 4%

P(z < z) = 0.04

See the probability of 0.04 in the standard normal corresponding to the z-value is = -1.75

Therefore,

P(z < -1.75) = 0.04

z = -1.75

So the temperature reading that separates the bottom of 4% from the other thermometers is - 1.75°C

Therefore correct option is (D). -1.75

Given f(x) = 1/3(9 + x), what is the value of f(-12)?

Answers

substitute x with -12
1/3(9+(-12) = 1/3(-3)
the answer is -1

the terminal side on an angle in standard position is ____
a. drawn with one end at the origin and the other at some angle to the initial side
b. connected to both ends of the initial side
c. always to the left of the initial side
d. rotated clockwise from the initial side as the angle increased

Answers

C) always to the left of the initial side

Have a good day!

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