A shipping box has dimensions as shown in the diagram. The red, dashed line represents the longest length of item that will fit inside the box. What is the length of the longest item that will fit inside the shipping box? Enter the correct answer in the box by replacing the values of m and n.

A Shipping Box Has Dimensions As Shown In The Diagram. The Red, Dashed Line Represents The Longest Length

Answers

Answer 1

Answer:

  26.8 in

Step-by-step explanation:

The red dashed line is the hypotenuse of the right triangle with one leg equal to 24 inches and the other leg equal to 12 inches. Its length is given by the Pythagorean theorem:

  space diagonal = √(24^2 +12^2) = √(720) = 12√5

  space diagonal ≈ 26.83 . . . inches

The length of the longest item that will fit in the box is about 26.83 inches.


Related Questions

If w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expression w2 - v + 1? A) -2 2 - (-8) + 1 B) -2 2 - 8 + 1 C) (-2) 2 - (8) + 1 D) (-2) 2 - (-8) + 1

Answers

Answer:

The answer is D.

Answer: D) (-2)*2 - (-8) +1

Step-by-step explanation:

w = -2.

so the w2 is equal to -2*2

v = -8

so -v + 1 = -(-8) + 1

Put it together and you get (-2)*2-(-8)+1

the parentheses are needed for the first -2 because other wise it'd be -(2*2) instead of (-2)*2

Figure
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Which combinations of transformations will always produce congruent figures? Check all that apply.
a dilation, followed by a rotation
a reflection, followed by a dilation
a rotation, followed by a translation
a translation, then a rotation, followed by a stretch
O a translation, followed by two reflections
O O O O O

Answers

Answer:

a rotation, followed by a translationa translation, followed by two reflections

Step-by-step explanation:

The rigid motions are the transformations that produce congruent images.

There are three main kinds of rigid motions  :

Reflections : Flips a figure across a line of reflection. Rotations : Rotates a figure about some degrees around a center point. Translations : Moves figure on a plane about some distance in a certain direction.

But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.

So, the options having dilation and term "stretch" cannot produce congruent figures.

Hence, the correct options are :

a rotation, followed by a translationa translation, followed by two reflections

Based on the graph below, what is a reasonable estimate for the y value when x is -4?

Answers

Answer: i think the answer is 1.5

Step-by-step explanation:

Each group of students receives a bag that has 9 red cubes, 5 green cubes, and 11 blue cubes. If each group makes 1000 pulls and replaces the cube after each pull, how many times would you expect them to draw a blue cube?

Answers

Answer:

440 times

Step-by-step explanation:

First you need to find the total number of cubes each student recieves (25)

Now you put it into a ratio 11 : 25

After that make another ratio with 1000 and solve for x

x : 1000

25x = 11000

x = 440

Answer:

440 blues

Step-by-step explanation:

9 red cubes, 5 green cubes, and 11 blue cubes = 25 cubes total

P( blue) = 11/25

To find out how many blue cubes are expected, take the probability and multiply by the number of draws

11/25 * 1000 draws

440 blues

May someone help please fast! Thanks!

Answers

Answer:

10m

Step-by-step explanation:

We can set up an equation to solve this.

[tex]\frac{20}{25} =\frac{8}{x}[/tex]

This equation can be created since we are given two similar sides of both triangles.

Now, cross multiply and simplify to solve for [tex]x[/tex].

[tex]20x=200\\x=10[/tex]

The answer is sensible, and if you put 10 into the same equation from earlier, you will see that it is accurate.

Therefore, the value of [tex]x[/tex] is 10m.

A car travels at a speed of 41 meters/second using 756 joules of energy every second. Suppose we know that the car uses 52,700 joules of energy. Set up a calculation to find the number of meters the car travels with this amount of energy. Perform the calculation you set up in part A. Round your answer to the nearest whole number? What is The car will travel ??? meters using 52,700 joules of energy.

Answers

The car will travel 2858meters.

What is speed?

Speed is the rate of change of distance.

Analysis:

speed of car = 41m/s

Energy consumption rate of engine = 756 joules/second

Time taken to consume 52700 joules = 52700/756.

If it travels at 41m/s for 52700/756 seconds, then the distance covered = 41 x 52700/756 = 2858 meters.

Learn more about speed: brainly.com/question/4931057

#SPJ1

Answer:

2900

Step-by-step explanation:

.

From the set {5, 15, 20}, use substitution to determine which value of x makes the inequality true. x + 10 >25 A . 20 B. 5 C. none of these D. 15

Answers

Answer:

A.

Step-by-step explanation:

If x=5

5 + 10 is less than 25.

If x=15

15+10 is equal to 25

If x =20

20+10 is greater than 25

the water was pumped out of a backyard pond. what is the domain of this graph?

A all real numbers less than or equal to 8

B all positive real numbers

C Real numbers from 0 to 8

D all integers less than or equal to 8​

Answers

Answer:

C. Real numbers from 0 to 8

Step-by-step explanation:

Given:

The graph above

Required

Determine the domain of the graph

The first step is to get the range of the depth of the pond

[this is plotted along the y axis]

The highest plot on the y axis is 95 and the least is 0

The next is to determine the corresponding time for the value listed above

When y = 95, x = 0

When y = 0, x = 8

The domain is x: 0 to 8

From the list of given options, option C correctly answers the question.

? Question
Using the scenario and your equation from part A, find the number of shots each player attempted,
Type the correct answer in each box. Use numerals instead of words,
Jared attempted
shots,
Zach attempted
shots,

Answers

What was the scenario and the equation from part A?

Answer:

Jared attempted 60 shots.

Zach attempted 70 shots.

Step-by-step explanation:

Which points are solutions to the system of inequalities shown below? Check all that apply!​

Answers

Answer:

y>x+4 (A,B)

y≤3x (B,C,D,E,F)

x≥7(A,B,D)

i realllyyyyyyyy HOPE THIS HELPS YOUUU!!!

What is the domain and range of each relation?

Drag the answer into the box to match each relation.

A relation mapping diagram. Element x contains negative 2, 0, 2, and 4. Element y contains negative 3, negative 1, and 0. Negative 2 maps to negative 3 and negative 1. Zero maps to 0. Two maps to 0. Four maps to negative 3.

Points plotted on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. Five points are plotted. Begin ordered pair negative 3 comma 1 end ordered pair. Begin ordered pair negative 1 comma negative 1 end ordered pair. Begin ordered pair 0 comma 0 end ordered pair. Begin ordered pair 3 comma 2 end ordered pair. Begin ordered pair 3 comma 3 end ordered pair.

Answers

Answer:

[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]  and [tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]

[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]  and [tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]

Step-by-step explanation:

Domain is the set of input values or x-values.

Range is the set of output values or y-values.

According to the relation mapping diagram, the relation is

[tex]R_1=\{(-2,-3),(-2,-1),(0,0),(2,0),(4,-3)\}[/tex]

So,

[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]

[tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]

In the graph 5 points are plotted. So, the relation is  

[tex]R_2=\{(-3,1),(-1,-1),(0,0),(3,2),(3,3)\}[/tex]

So,

[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]

[tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]

The perimeter of the rectangle below is 94 units. Find the value of x.

Answers

Answer:

The value of x = 9 units

Step-by-step explanation:

The complete question is attached to this solution.

The perimeter of a rectangle is given as

P = 2 (L + B)

L = Length of the rectangle = 3x - 1

B = Breadth of the rectangle = 2x + 3

P = Perimeter of the rectangle = 94 units

94 = 2 [(3x - 1) + (2x + 3)]

3x - 1 + 2x + 3 = (94/2) = 47

5x + 2 = 47

5x = 47 - 2 = 45

5x = 45

x = (45/5) = 9 units

Hope this Helps!!!

Help me ASAP for this question

Answers

Answer:

b

Step-by-step explanation:

to solve a problem like this you need to set up a proportion

45% is a percent(obviously) so you put 45 over 100 because percent's are fractions of 100

the key word is the word is. i don't kow about anyone else but i was taught is over of(is/of)

this means 27 is the numerator

27/x=45/100

help I will mark you brainly​

Answers

Answer:

Hi there!!

The answer would be x=20 and y= 10 root 3 or on decimal it's 17.32.

explanation look in picture, alright.

I hope it will help u....

Answer:

x = 20

y = 10√3 or 17.3

Step-by-step explanation:

This is a special 30° 60° 90° right triangle

In this special triangle if the side length that sees 30° is represented by x and its given as 10 the side length that sees 90° would be twice of it so it's represented by 2x = 20 and the side length that sees 60° is x√3 = 10√3

4-2b>(6-b) whats the answer this is algebra 1 solving inequalities with variables

Answers

Answer:

b<-2

Step-by-step explanation:

4-2b > (6-b)

4-2b > 6-b

-4 +b   -4 +b

    -b > 2

    /-1   /-1

     b < -2

Answer:

b<−2

Step-by-step explanation:

Find the area of the trapezoid (Problem is highlighted in Pink)

Answers

Answer:

please mark my answer as the brainliest

Step-by-step explanation:

AREA = 1/2 * (b1+b2)h

A = 1/2 * (8+18)13.5

therefore area = 175.5cm^2

Answer:

Area = 1/2 * (B1+B2)hH

A = 1/2 * (8+18)13.5

Therefore the area = 175.5cm^2

Rate Problems:
3. Potomac Paddleboards rents paddleboards for $15 plus $4.50 per hour (no partial hours). How many hours
can you rent a paddleboard if you want to spend no more than $42?
Define variable:
Equation:
Solution:
how do i solve this?

Answers

Define variable- 4.5x
Equation - 15+ 4.5x =42
Solution- x=6

15+ 4.5x =42
4.5x = 27
X=6
The answer is x=6 I hope this helped

The following data points represent the weight (in kilograms) of each of Newman's dogs. 3, 2, 26, 9 Find the mean weight.

Answers

Answer:

10 kilograms

Step-by-step explanation:

The mean of any data set is all the numbers added up divided by the amount of points.

[tex]3+2+26+9=40\\40\div4 = 10[/tex]

Hope this helped!

Answer:

10

Step-by-step explanation:

The mean is another word for average.  Add up all the numbers and divide by the number of terms

( 3+2+26+9) /4

40 /4

10

The mean is 10

For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7

Answers

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

[tex]$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k $[/tex]

Also

[tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]

I think you mean [tex]210x^6y^4[/tex]

We can deduce that this term will be located somewhere in the middle. So I will calculate [tex]k= 5; k=6 \text{ and } k =7[/tex].

For [tex]k=5[/tex]

[tex]$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$[/tex]

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just [tex]x^{n-k} y^k[/tex]

For [tex]k=6[/tex]

[tex]$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$[/tex]

20 POINTS. PLEASE HELP FAST. FIRST ANSWER GETS BRAINLIEST.

Answers

Answer:

bd=24

Step-by-step explanation:

I believe you would have to set up a proportion. 32/19.2=15.0/x. cross multiply 19.2 and 15 to get 288. then divide by 32 to get qd=9. then add qd and bq to get 24.

bd=24 hope this helped you!!!

The exponent on b when b^3 is multiplied by b^3 is

Answers

Answer:

6.

Step-by-step explanation:

When b^3 is multiplied by b^3, the bases are the same (b). That means that the exponents are added to each other. 3 + 3 = 6, so b^3 * b^3 = b^6.

Hope this helps!

Answer:

6

Step-by-step explanation:

b³ · b³ = ( b³ )² = b⁽³⁾⁽²⁾ = b⁶

hence the exponent is 6

Write them in a standard form.

Answers

The equation turns into:

400+70+6+0.6+0.03+0.07

which equals:

476.637

The second equation becomes 4+ 68/1000, which becomes 4.068.

Hope this helps!

10 POINTS IDENTIFY THE SLOPE, Y-INTERCEPT AND GRAPH.
1. Y= 2X + 3
2. Y = 34 X-2

Answers

Answer:

slope: 1.) 2 ,,, 2.) 3/4

y-int: 1.) (0,3) ,,, 2.) (0,-2)

graph: attached in pictures/ blue line represents y=2x+3 ,,, red line represents y=3/4-2

Step-by-step explanation:

help pls!!!! Peter is at a lumber yard. He gets 2 free boxes of nails for every 10 boards he buys. Write an expression for the number of boxes of nails Peter will get if he buys n boards. If each box has 100 nails, explain how to write an expression to find how many nails Peter will have if he purchases 90 boards.

Answers

Answer:

x=1/5n

a=1/5(90)*100

The algebraic expression n/10, where n is the number of boards, represents the number of times he gets 2 free boxes of nails. So 2(n/10), or n/5, is the number of boxes, and 100(n/5), or 20n, is the number of nails. Substituting 90 in for n, Peter will get 1,800 nails.

Which of the following theorems verifies that DEF= XYZ?

Answers

Answer:

The correct answer is D: LL ( Leg-Leg Congruence)

Step-by-step explanation:

Theorem 4.6 Leg -Leg Congruence said that if the legs of one right triangles are congruent to the corresponding legs of another right right, then the triangles are congruent.

So in this case we can tell that both triangle are congruent by Leg-Leg Congruence due to the tick marks we have on both of the legs on the two triangles.

Answer:

The answer is LL

Step-by-step explanation:

thats what i got

6. Find the product for both sets of polynomials below by multiplying vertically.
A.4x2 - 4x
x*x² - 4
————

B)
x²+x-2
*4x² - 8x
———-

Answers

Answer:

A) [tex]4x^5-4x^4-16x^2+16x[/tex]

B) [tex]4x^4-4x^3-16x^2+16x[/tex]

Also, maybe that vertically means:

A) [tex]4x^2 \cdot x^3[/tex]    and [tex](-4x) \cdot (-4)[/tex]

Resulting in [tex]4x^5+16x[/tex]

B) [tex]x^2 \cdot 4x^2[/tex]    and  [tex]x \cdot (-8x)[/tex]  and [tex]-2 \cdot 0[/tex]

Resulting in [tex]4x^4-8x^2[/tex]

Step-by-step explanation:

It seems that you want to multiply the polynomials in this way: [tex](\text{Polynomial - 1})\cdot(\text{Polynomial - 2})[/tex]

A)

[tex]4x^2-4x[/tex]

[tex]x \cdot x^2 -4[/tex]

[tex](4x^2-4x)(x \cdot x^2 -4)=(4x^2-4x)(x^3 -4)[/tex]

[tex](4x^2-4x)(x^3 -4)\\[/tex]

[tex]4x^5-16x^2-4x^4+16x[/tex]

[tex]4x^5-4x^4-16x^2+16x[/tex]

B)

[tex]x^2+x-2[/tex]

[tex]4x^2-8x[/tex]

[tex](x^2+x-2)(4x^2-8x)[/tex]

[tex]4x^4-8x^3+4x^3-8x^2-8x^2+16x[/tex]

[tex]4x^4-4x^3-16x^2+16x[/tex]

For what values of a the following expressions are true: |a|=−a

Answers

Answer:

Any negative number and 0 works for the expression.

Step-by-step explanation:

Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.

Let's try a random positive number in the expression

[tex]|6| = -(6)\\6 \neq -6[/tex]

So this positive number doesn't work, let's just test with another one.

[tex]|9| = -(9)\\9 \neq -9[/tex]

So we know that positive numbers won't work with this expression.

Let's test 0 quickly, just to make sure.

[tex]|0| = -0\\0 = 0[/tex]

So 0 works.

Let's try a few negative numbers now.

[tex]|-5| = -(-5)\\5 = 5[/tex]

So yes, this does work. Let's try one more negative number.

[tex]|-120| = -(-120)\\120 = 120[/tex]

This works. So, every negative number and 0 work with this equation.

Hope this helped!

Answer:

|a|=−a is true only if a is negative or zero

Step-by-step explanation:

Recall that absolute values are always 0 or positive.  

|a|=−a is true only if a is negative or zero.

what is the product of the reciprocal of 5,the reciprocal of 18, and the reciprocal of -3 please provide a explanation :)

Answers

Answer:

1/5, 1/18, and 1/-3

Step-by-step explanation:

a reciprocal reverses a fraction

for example:

5=5/1

reciprocal=1/5

hope this helps:)

Answer:

1/5, 1/18, -1/3

Step-by-step:

The simple answer is just to to make that number under one.

Example: 5 is the reciprocal then 1/5 was the start number. Vise-versa. Hope this helps!

You are having a small party and the Pizza driver drops
off 5 Pizza's. They are all cut into eighths. You also
have 3 slices left over in your fridge from the night
before. Write how much pizza you have as an
improper fraction(Remember that an improper
fraction has the numerator larger than the
denominator)

Answers

Answer:

43/8

Step-by-step explanation:

5*8=40

40+3=43

There are 8 slices per pizza so the answer would be 43/8

The answer is 43/8. This is because if there is 5 pizzas and they are all cut into eights so it would be 40/8. However, they also said that there is 3 slices left over in the fridge. So 40+3=43. So they improper fraction would be 43/8. I hope this helps!!!

heeeeeeeeeeeeeeeeelp

Answers

That is not a function because it’s a straight line.

EXPLANATION:

The x value of a point where a vertical line intersects a function represents the input for the output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more that one input.
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