A rectangular prism is 3 ft long 4 ft wide and 2 ft tall. What is the length of the longest diagonal?

Answers

Answer 1

Answer: Pythagorean Theorem in 3 D

sqrt ( 3^2 + 4^2 + 2^2) =

sqrt ( 9 + 16 + 4) =

sqrt( 29) = 5.3852 approximately

Step-by-step explanation:

The longest diagonal is about 8.9 inches. The longest length is going to be between the two longest lengths, the width and the height. The Pythagorean theorem is a^2 + b^2 = c^2. Plug the width and height into a and b of the Pythagorean equation. (4)^2 + (8)^2 = c^2. Now simplify the equation. 16 + 64 = c^2. 80 = c^2. Now find the square root of each side. (sqrt)80 = (sqrt)c^2. If you simplify this, you will find that c is equal to about 8.9 inches.


Related Questions

Please help will mark brainliest!
Write an inequality to represent each situation

1. Anyone over the age 14 must buy an adult ticket.

2. Kendra can spend at most $8 on lunch

Answers

7 pppppppppppolplpppppppppppp

Find the least common denominator between the two fractions. 1/2 and 5/6 2 6 8 12

Answers

Answer:6

Step-by-step explanation:

each year Malcolm earns 120 hours of vacation time at his job.There are 52 weeks in a year. what is the approximate number of hours of vacation time that Malcolm earns each week ?

Answers

I’m only shod dndjskekmdj und7282939393

which property is shown 12+(8+5)=(12+8)+5

Answers

Answer:

I believe substitution not 100% though

Step-by-step explanation:

you sub in the 12 for the 8 the 8 for the 5 and the 5 for the 12 hope it is right

Answer: associative property

Step-by-step explanation:

In the equation the parentheses are rearranged which is the associative property.

nowwwwww
will name brainliest

Answers

(X+6)(x-3). Hope that helped :)

Which table represents the same linear relationship
as y = 2x - 5?
х
2
4
A
у
-5
-1
3
х
o
N
4
B
y
-5
1
3
х
0
2
4
с
y
N
-1
3
х
0
2
4
D
у
2.
2
3
A
B
Ob
Ос
U
d
D

Answers

Answer:

A

Step-by-step explanation:

multiply 0 by 2 | 0 x 2 = 0

subtract 5 from 0 | 0 - 5 = -5

multiply 2 by 2 | 2 x 2 = 4

subtract 5 from 4 | 4 - 5 = -1

The table that represents the same linear relationship as the linear equation y = 2x - 5 is; Table A

What is the best table for the linear relationship?

The given equation is; y = 2x - 5

For the first table;

At x = 2, we have;

y = 2(2) - 5

y = -1

This and other values with input of x corresponds with the table.

For the second table;

At x = 2, we see that y = 1 instead of -1 and so this table is not correct.

For tables 3 and 4, we see that when we see that they both give the wrong values of y at x = 0 and so they are both wrong.

Read more about Linear relationship at; https://brainly.com/question/7040405

Find the additive inverse of −4x−8 .

Answers

Answer: 4x+8

Step-by-step explanation:

the additive inverse is the inverse operation but adding ( i hope this helps :D  )

Andy runs the same number of miles, x, every week. His total distance run each week is less than 60 miles. Which inequality represents how many miles Andy runs each week?

Answers

Answer:

60x i think

Step-by-step explanation:

Help me pls !!!!!!!!!!!!!!

Answers

Answer:

the answer is B

Step-by-step explanation:

HELPPPPPPPP PRE ALG !!!!!!! 20 POINTS!!!! HELP ASAPPPPPPP

Answers

Answer:

But is only 5 points

Step-by-step explanation:

y=8x−18

x=1/8y + 9/4

Answer:

y intercept: (0, -18) x intercept: (2.25, 0)

will give brainly need help asap

Answers

Answer:

Hank

8x+12x=180

Step-by-step explanation:

Hank is correct because the angles that are given are supplementary so they are going to add up to 180. Jill is incorrect because the angles are not congruent

This is the correct answer once again because the angles are supplementary so the two added with equal 180

Answer: x = 70

Step-by-step explanation:

Given that KB = 28, what is the measure of angle KBL and segment KA

Answers

Answer:

KA = 28

∠KBL = 90°

Step-by-step explanation:

KA = KB (both are radii)

KB = 28, so KA = 28

∠KBL = 90° because tangents are perpendicular to the radius

Mike pays $8,000 in property taxes, but receives a 28% tax deduction for it. What is Mike’s net expense for property taxes

Answers

Answer:

$5760

Step-by-step explanation:

Given data

Principal= $8,000

Tax= 28%

Let us compute 28% tax deduction

=28/100*8000

=0.28*8,000

=$2240

Hence the net expenses is

=8000 -2240

=$5760

2x + 3y = 10
In the xy-plane, the graph of which of the following equations is perpendicular to the graph of
the equation above?
•y=-3/2x-10 •y=-2/3x+10 •y=2/3x+10 •y=3/2x-10

Answers

Answer is y=-2/3x+10
Explanation
Subtract 2x to 10
3y= -2x + 10
Divide by 3
Y= -2/3x+10

The graph formed by equation y= -2/3x+10 will be perpendicular to the graph by equation y=3/2x-10.

What is the slope of any line?

A line in the form of ax + by + d = 0 will be a linear equation and if we convert it into the form of y = mx + c where m will be the slope of that equation.

If two lines are perpendicular to each other then the product of their slope of them will be (-1).

⇒  m₁ ₓ m₂ = -1

The slope of line 2x + 3y = 10 will be -2/3

To be any line perpendicular whose slope m with the 2x + 3y = 10

⇒ -2/3 × m = -1

⇒   m = 3/2 so the slope of that line should be 3/2

Hence, line y=3/2x-10 will be perpendicular to the 2x + 3y = 10.

For further information about slope of line

https://brainly.com/question/14511992

#SPJ5

[tex]5x^{2}+39x-54\\[/tex]

Answers

[tex](5x - 6) (x + 9)[/tex]

How to Solve:

STEP 1:

Use the sum-product pattern:

[tex]5x^{2} + 39x - 54[/tex]

[tex]5x^{2} + 45x - 6x - 54[/tex]

STEP 2:

Common factor from the two pairs:

[tex]5x^{2} + 45x - 6x - 54[/tex]

[tex]5x( x+ 9) - 6(x + 9)[/tex]

STEP 3:

Rewrite in factor form:

[tex]5x(x + 9) - 6(x + 9)[/tex]

AND NOW YOUR ANSWER IS:

[tex](5x - 6)(x + 9)[/tex]

HOPE THIS HELPS! :)

HAVE A GREAT DAY/NIGHT AND STAY SAFE!

Divide. Write the quotient in lowest terms.

Answers

Answer:

10

Step-by-step explanation:

Turn this into multiplication by doing 12*(5/6) = 10

a farmer divides 20 acreas of land into one fourth sections. Into how many sections does the farmer divide her land?

Answers

Answer:

5 acres per section

Step-by-step explanation:

Mhanifa please help!! I will mark brainliest!please hurry. Random answers will be reported!

Answers

Answer:

Q1x = 113° as alternate exterior angles are equalQ2

Parallel lines have same slope

The given line y - 2x = 8, in slope-intercept form it is:

y = 2x + 8

The slope is 2 and the first line has same slope.

Option A. y = 2x + 5Q3

Supplementary angles sum to 180°°

Supplement of ∠R is:

180° - 132.6° = 47.4°

Does anyone have the answer for this

Answers

Answer:

The answer is 3a-27

You just gotta combine like terms (hope this helps)

Answer:3a-27.

hope it helps.

The difference between -2 2/3 and 5 1/3

Answers

Answer:

-8

Step-by-step explanation:

"The difference between -2 2/3 and 5 1/3" is  -2 2/3 less 5 1/3:

-2 2/3

-5 1/3

----------

-8

2 = t/6 ( t/6 means divide )

Answers

Answer:

T = 12

Step-by-step explanation:

12/6=2

Question 3
Blank one: ____________

Answers

I think the answer is 30

Answer:

30???????????

Step-by-step explanation:

Which ch situation would be represented by zero? A $3 loss and a $4 profit
A $3 loss
A $4 loss and a $4 profit
A $4 profit

Answers

Answer:

A $4 profit

Step-by-step explanation:

Answer:

jalvarez06 is correct

Step-by-step explanation:

n a cookie recipe, there are 3 parts ugar and 2 parts flour. For every cup of our, how much sugar do you need?

Answers

Answer: For every cup of flour we need 2/3 cups of sugar.

For every cup of sugar you need 3/2 cups of flour.

Step-by-step explanation:

For every cup of flour we need 2/3 cup of sugar.

ABCD is a rectangle that represents a park. The lines show all the paths in the park. The circular path is in the center of the rectangle and has a diameter of 15

Answers

Complete Question:

ABCD Is a rectangle that represents a park.

The lines show all the paths in the park.

The circular path is in the centre of the rectangle and has a diameter of 15m.

Calculate the shortest distance from A to C across the park,using only the lines shown.

*See attachment for the diagram showing the paths in the park.

Answer:

Shortest distance from A to C through the paths only = 102.9 m

Step-by-step explanation:

Length of park = 80 m

Width of park = 50 m

Diameter of the circular path in the center of the park = 15 m

Therefore:

Shortest distance between from A to C across the park if we're to follow only the lines showing the oaths would be = (length of diagonal AC - diameter of the circular path) + (½ of the circumference of the circular path)

✔️Use pythagorean theorem to find AC:

AC = √(80² + 50²) =  √8,900

AC = 94.3398113 ≈ 94.34 m (nearest hundredth)

✔️Diameter of circular path = 15 m

✔️½ of the circumference of the circular path = ½(πd)

d = 15 m

½ of the circumference = ½(π*15) = 23.5619449 ≈ 23.56 m (nearest hundredth)

✔️Shortest distance = (94.34 - 15) + 23.56 = 79.34 + 23.56 = 102.9 m

Answer:

Step-by-step explanation:

fx) = -3x² + 2x - 7, then f(-1) =​

Answers

Given:

The function is

[tex]f(x)=-3x^2+2x-7[/tex]

To find:

The value of f(-1).

Solution:

We have,

[tex]f(x)=-3x^2+2x-7[/tex]

Putting x=-1, we get

[tex]f(-1)=-3(-1)^2+2(-1)-7[/tex]

[tex]f(-1)=-3(1)-2-7[/tex]

[tex]f(-1)=-3-9[/tex]

[tex]f(-1)=-12[/tex]

Therefore, the value of f(-1) is -12.

I need help it’s an iready plz help

Answers

Answer:

its the 2 bottom ones......

Can someone help me wi to this please.

Answers

a, 2a + 6

b,16y-8

c,24x-12

d,16y-8

e,15x+20

f,21x-35

g,28y+8

h,5a-5b

i,4a+4b

j,21x+7y

k,3x+6y

l, 18x+12

i hope you can give me brainliest, thanks!

Answer:

a) 2a+6  b) 16y-8  c) 24x-12  d) 16y-8  e) 15x+20  f) 21x-35  

g)28y+8 h)5a-5b  i) 4a+2b  j) 21x+7y  k) 3x+6y  l) 18x+12

Step-by-step explanation:

To multiply out brackets, you multiply the values within the bracket by the one outside one at a time.

For example, for the first one, you would do 2*a, which is 2a, then 2*3, which is 6. Since the 3 was positive, the answer would be 2a+6.

Independent Practice


Find the range of the function rule y = 5x – 2 for the domain.


{0.5, 11}


A.
{2.6, 0.5}


B.
{4.5, 57}


C.
{0.5, 2.6}


D.
{0.5, 53}

Answers

The answer is {0.5,53}

There are seventeen red and thirteen green apples in a bag. I am going to take out an apple without looking. What is the probability that the apple will be green?Immersive Reader

Answers

Answer:

13/30

Step-by-step explanation:

There are seventeen red and thirteen green apples in a bag. I am going to take out an apple without looking. What is the probability that the apple will be green?

The Probability that the apple that will be picked is green is calculated as:

Number of green apples/ Total number of apples

Total number of apples = 17 red apples + 13 green apples

= 30 apples

Hence:

P( Green apples) = 13/30

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