Tina ordered a replacement part for her desk. It was shipped in a box that measures 2 in. by 2 in. by 11 in. What is the greatest length in whole inches that the part could have been?

Answers

Answer 1

Answer:

15 inches

Step-by-step explanation:

The space diagonal of a rectangular prism is the root of the sum of the squares of the edge lengths. The longest straight part that will fit in the box will be at most ...

l = √(4² +4² +14²) = √228 ≈ 15.10 . . . . inches

If im wrong just tell me im sorry if it is

Ally~


Related Questions

Is this the graph of a function?

Answers

Answer:

function

Step-by-step explanation:

this graph is a function.

why?

if we draw a vertical line on all points of the function we can see that it only intersects ONCE. Therefore, it's a function. if it intersects more than once then it will not be a function

Mia's new puppy weighed 3 1/5 pounds
at 4 weeks old. At 16 weeks old, the
puppy weighed 9 1/7 pounds. By what
factor did the puppy's weight increase
during that period?

Answers

Answer:By a factor of 2 6/7.

Step-by-step explanation:

That would be  9 1/7 divided by 3 1/5

=  64/7 / 16/5        Invert the dividing fraction:

= 64/7 * 5/16

=  4/7 * 5

= 20/7

= 2 6/7.

Step-by-step explanation:

A complex number will, in general, have _____ fourth complex roots.

Answers

Answer:

A complex number will, in general, have five(5) fourth complex roots.

Step-by-step explanation:

We know that the nth complex roots of unity are graphically represented on a unit circle such that there are a total of n roots located at a distance by an angle of

Hence, here we are asked to find the number of complex roots of fifth complex roots.

                   i.e. n=5

           Hence, we have five(5) fifth complex roots.

One positive integer is 5 less than another. The
product of the two integers is 14. What are the
integers?

Answers

Answer:

one is 2 and another is 7

Step-by-step explanation:

let n be the positive integer and n' be the greater integer.

Given condition

n+5=n' ......eqn i

n×n'=14

n(n+5)=14. [from equation i]

n²+5n-14=0

n²+7n-2n-14=0

(n-2)(n+7)=0

either. or

n=2. n=-7(impossible)

therefore n=2 and hence n'=n+5=7.

Click to see image, giving brainlyest and thanks

Answers

Answer:

400 visitors were there for 65 and over

Step-by-step explanation:

20÷100×2000

20÷100=0.2

0.2×2000=200

hope it will help you

The highest mark in the Science test was 74. Three students scored 49 which was five marks higher than the lowest score. What was the range of scores?

Answers

Answer:

25

Step-by-step explanation:

you subtract the highest number

Answer:

The "range" of a set of numbers is just the difference between the biggest number and the smallest number. (The maximum "far-apart-ness" of the scores).

Hope this helps you!!

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The fox observed that the tortoise plodded along at a rate of 20 meters per minute throughout the 1000-meter race.
1. Complete the table below indicating the distance traveled by the tortoise in the time elapsed.

Answers

The values that are required to complete the table above indicating the distance traveled by the tortoise in the time elapsed are calculated below.

How to calculate the distance traveled?

Mathematically, the distance traveled by the tortoise would be calculated by using this formula:

Distance = speed (rate) × time

When time = 1 min, we have:

D₁ = 20 × 1

D₁ = 20 meters.

When time = 2 min, we have:

D₂ = 20 × 2

D₂ = 40 meters.

When time = 3 min, we have:

D₃ = 20 × 3

D₃ = 60 meters.

When time = 4 min, we have:

D₄ = 20 × 4

D₄ = 80 meters.

When time = 5 min, we have:

D₅ = 20 × 5

D₅ = 100 meters.

When time = 6 min, we have:

D₆ = 20 × 6

D₆ = 120 meters.

When time = 7 min, we have:

D₇ = 20 × 7

D₇ = 140 meters.

When time = 10 min, we have:

D₁₀ = 20 × 10

D₁₀ = 200 meters.

When time = 15 min, we have:

D₁₅ = 20 × 15

D₁₅ = 300 meters.

When time = 20 min, we have:

D₂₀ = 20 × 20

D₂₀ = 400 meters.

When time = 25 min, we have:

D₂₅ = 20 × 25

D₂₅ = 500 meters.

When time = 30 min, we have:

D₃₀ = 20 × 30

D = 600 meters.

When time = 35 min, we have:

D₃₅ = 20 × 35

D₃₅ = 700 meters.

When time = 40 min, we have:

D₄₀ = 20 × 40

D₄₀ = 800 meters.

When time = 50 min, we have:

D₅₀ = 20 × 50

D₅₀ = 1,000 meters.

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SOLVE PLSSS I GIVE POINTS

Answers

Answer:

3421.19 mm²

Step-by-step explanation:

The area equation is πr²

So then you'd plug in 33 as your r because that's your radius and youd get the equation: π×33²

Which is ≈ 3421.19 mm²

Consider the following expression
5(7a+2)(1+6)
Select all of the true statements below.

Answers

Answer:

a and d are both true. The rest are not.

Step-by-step explanation:

1 and 6 are like terms. They are both integers. They can be combined. This statement is true.

7 is a numerical coefficent. This statement is true.

===========================================

The others are all false for one reason or another

b is false. The factor is made up of 2 terms not 3. 7a is one term.

c is false. "a" is a variable. So the whole term can be anything.

e is false. 7a + 2 is a factor

f is false. There are two true statements.

Lester bought 4.83 pounds of bologna at the deli. Renee bought 2.3 pounds
of bologna. How many times more bologna did Lester buy than Renee?

Answers

Answer:

i think it is 2.1

To be able to buy a new computer, Yoko decides to save for 5 years. She opens a savings account with $400. The account pays simple interest at an annual rate of 2%. She doesn't make any more deposits.
(a) How much total interest will Yoko earn?
(b) What will the total amount in the account be (including interest)?

Answers

Answer:

A)  $40 total interest

B) $440

6) Molly invests $7,747 in a retirement
account with a fixed annual interest rate
compounded 2 times per year. After 16
years, the balance reaches $31,685.08.
What is the interest rate of the account?

Answers

Answer:

R = 9% per year

Step-by-step explanation:

Please help and explain this to me!! I am confused and would like to know how to solve!!

Answers

Answer:

The sum of the numerators is incorrect.

The one where -1/2 is the final answer.

Step-by-step explanation:

-5/8 + 1/8 does equal (-5 + 1)/8. However, -5 + 1 is not equal to -6. It is equal to -4. -4/8 would simplify down to -1/2, which is the correct answer.

If kaemi Had 67^2 amount of apples divided by 87% of 93 and subtract that by 1/2=K
Then what does K+98^54-89=d
D=what

Answers

Answer:

D=76^3

Step-by-step explanation:

We have to just simplify the equation then do the addition/subtraction.

A party hat shaped like a cone requires about 66 square inches ( Surface Area ) of paper to make. If the slant height is 7 inches, how wide is the hat?

Answers

Answer:

6 inches

Step-by-step explanation:

Solving

Curved Area = π x r x slant height66 = 3.14 x 7 x rr = 66/21.98 ≅ 3 inches

Width of the hat

Diameter of the cone2 x Radius2 x 3 = 6 inches

Answer:

6.00 in (nearest hundredth)

Step-by-step explanation:

Lateral surface area = surface area excluding the bases(s)

Lateral surface area of a cone = [tex]\pi rs[/tex]

(where r is the radius and s is the slant height)

Given:

lateral surface area ≈ 66 in²slant height (s) = 7 in

[tex]\implies 66= \pi r \cdot 7=7 \pi r[/tex]

[tex]\implies r=\dfrac{66}{7 \pi}[/tex]

The width of the hat is the diameter.  As diameter = 2r:

[tex]\begin{aligned}\implies \textsf{width} & =2 \cdot \dfrac{66}{7 \pi}\\\\ & =\dfrac{132}{7 \pi}\\\\ & = 6.00\: \sf in\:(nearest\:hundredth)\end{aligned}[/tex]

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In a house, there is a vase in the shape of a cylinder. The cylinder has a diameter of 12 inches and a height of h inches.

Which equation can be used to find V, the volume of the cylinder in cubic inches?
V= π 6²h
V = π(6h)²
V = π 12²h
V = π(12h)²

Answers

Answer:

V = π 12²h because i dont know where 6² came from.

just go with either 3 or 4.

A triangle has angle measurements of 63°, 38°, and 79°. What kind of triangle is it?

Answers

The answer is a scalene triangle

Enter the value of x that makes the equation 3(3x+4)=12x-15 true

Answers

Answer:

  3x=27

Step-by-step explanation:

3(3x+4)=12x-15

9x+12=12x-15

-9x      -9x

___________

12=3x-15

+15    +15

_________

27=3x

3x=27

Answer:

9

Step-by-step explanation:

3(3x+4)=12x-15

or,3x+4=3(4x-5)/3

or,3x+4=4x-5

or,4+5=4x-3x

or,9=x

.:x=9

Hence,

x=9

Which term describes the set of all possible outcomes for a probability event? A. Sample space B. Empirical probability C. Elements OD. Likelihood​

Answers

Answer:

Sample Space

Step-by-step explanation:

Given sides a-10, b=5 and angle ZA-100°. Find the corresponding value for ZB. Options: A 60° B 5° D -29.5° C 29.5°​

Answers

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. The measure of the ∠B=29.5°.

What is Sine rule?

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}[/tex]

where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,

Sin B is the angle and β is the length of the side of the triangle opposite to angle B,

Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.

Given that sides a=10, b=5 and the measure of the ∠A=100°. Therefore, the using the sine law,

[tex]\rm \dfrac{Sin\ A}{a} = \dfrac{Sin\ B}{b}[/tex]

[tex]\rm \dfrac{Sin\ 100^o}{10} = \dfrac{Sin\ B}{5}\\\\\rm \dfrac{(Sin\ 100^o) \times 5}{10} = Sin\ B\\\\Sin\ B = 0.04924\\\\\angle B = 29.498^o \approx 29.5^o[/tex]

Hence, the measure of the ∠B=29.5°.

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A car is purchased for 1200. Each year it loses 25% of its value. After how many years will the car be worth 2800 or less?

Answers

Answer:

5.06 years

Step-by-step explanation:

It is already worth less than 2800

  perhaps you meant the purchase price was 12 000

2800 = 12 000 ( .75)^n

 n = 5.06 years   it will = 2800

Nakeisha's family took a road trip to Mount Rushmore. Nakeisha fell asleep 18% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Nakeisha fell asleep?

Answers

Answer:

72 miles ....then she snored off

Step-by-step explanation:

18 % of 400  = .18 * 400 =  72 miles

Worth 100 points if answered: 2 PARTS!

Answers

Answer: The answer is 18 bread pieces

Step-by-step explanation:

SECOND ONE he will need 9 loafs of bread because 108 divided by 12 equals 9 so he will ned 9 loafs

Create an equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V.​

Answers

The equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V is H = 2V + 3.

How to compute the equation?

Your information is incomplete. Therefore, an overview will be given.

Let's assume that the value of the horizontal length is 3 plus twice the value of the the vertical length. This will be:

H = (2 × V) + 3

H = 2V + 3

In conclusion, the equation is H = 2V + 3.

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4+10(5-3) = 4 +62 is what?
O 18
O 42
O 21
O45

Answers

Hey there!

4 + 10(5 - 3) = 4 + 62

4 + 10(5) + 10(-3) = 4 + 62

4 + 50 - 30 = 4 + 62

54 - 30 = 4 + 62

24 = 4 + 62

24 = 66

24 ≠ 66


OR

4 + 10(5 - 3) = 4 + 62

4 + 10(2) = 4 + 62

4 + 20 = 4 + 62

24 = 4 + 62

24 = 66

24 ≠ 66


Thus, this statement is FALSE because both of your numbers aren’t equivalent to each other.


But, let’s try this method

4 + 10(5 - 3) = 4 + 62

4 + 10(2) = 4 + 62

4 + 20 = 4 + 62

24 = 66

24 ≠ 66

66 - 24 = 42

Thus, if this is what your question is asking it would be: Option B. 42


Good luck on your assignment and enjoy your day!


~Amphitrite1040:)

A function f is odd and f(x)=x^2 for all x>0. Sketch the graph of of this function and then write the rule of the function as a single formula

Pls solve I put 77 points ito this

Answers

The odd function is:

f(x) = sgn(x)*x^2

And the graph can be seen at the end.

How to get the formula of the function?

An odd function has the property:

f(-x) = -f(x).

In this case, for x > 0 we have:

f(x) = x^2

Notice that if we evaluate that in a negative number, we get:

f(-2) = (-2)^2 = 2^2 = f(2)

So, this is actually even.

To transform it into an odd function, we can multiply it by the sign function:

f(x) = sgn(x)*x^2

Now, when x is negative, the outcome will be negative, so the function is odd. The graph can be seen below.

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NO LINKS!!! Please help me with this graph problem​

Answers

Answer + Step-by-step explanation:

let x be the age of Kevin

    y be the age of his mother

a) We can convert the statement “the sum of their ages is 61” into the equation: x + y = 61

b) the coordinates of the intersection point are (15 , 46)

Interpretation:

The age of Kevin is 15

The age of Kevin’s mother is 46

Step-by-step explanation:

Let,

x = Kevin's agey = Kevin's mother's age

Given that,

Kevin's age + Mother's age = 61

x + y = 61 [tex]\rightarrow[/tex] required equation for a)

[tex]\rule{150pt}{2pt}[/tex]

Now, we have two equations.

y - 3x = 1 -------(1)

y + x = 61 --------(2)

On solving them (using the substitution method),

[tex]\left. \begin{cases} { y-3x = 1 } \\ { y+x=61 } \end{cases} \right.[/tex]

Take ----(1)

[tex]y-3x=1 \\y=3x+1[/tex]

Now, substitute the value of y in ----(2)

[tex]y + x = 61\\3x+1+x=61 \\4x+1=61 \\4x=60 \\x = 15[/tex]

Substitute the value of x in -----(1),

[tex]y=3\times 15+1 \\y= 45+1\\y = 46[/tex]

So,

[tex]\boxed{\bf\:x = 15, \:y = 46}[/tex]

Now, by graphing them (see the attachment), the point of intersection is O (15, 46). Hence, from this we can infer that, Kevin is 15 years old while his mother is 46 years old. [tex]\rightarrow[/tex] answer for b)

[tex]\rule{150pt}{2pt}[/tex]

Determine whether each relation is a function.

Answers

Answer:

no

Step-by-step explanation:

no

one input (x) has 2 outputs (y)

the input 2 has 2 outputs 1 and 4

this does not pass the vertical line test

therefore it is not a function

Find the standard equation of the circle with center (5, -3
and with a point on the circle (-3,3)

Answers

Answer:

○ C

Explanation:

Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:

Pythagorean Theorem

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = r^2 \hookrightarrow 36 + 64 = r^2 \hookrightarrow \sqrt{100} = \sqrt{r^2} \\ \\ \boxed{10 = r}[/tex]

Sinse we are dealing with length, we only desire the NON-NEGATIVE root.

Distanse Equation

[tex] \displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-5 - 3]^2 + [3 + 3]^2} = r \hookrightarrow \sqrt{[-8]^2 + 6^2} = r \hookrightarrow \sqrt{64 + 36} = r; \sqrt{100} = r \\ \\ \boxed{10 = r}[/tex]

Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.

I am joyous to assist you at any time.

Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

Answers

The missing side length is 14 ft because you add the other sections to at to the same length. (8+6)
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