Lorena purchased a fish tank in the shape of a cube with sides 18 inches in length. What is the distance between the opposite corners of the front of the tank?

Answers

Answer 1

Answer:[tex]31.17\ in[/tex]

Step-by-step explanation:

Given

Edge length of cube is [tex]a=18\ in.[/tex]

From the figure, distance between the opposite corner of the tank is

[tex]\Rightarrow (xy)^2+(xz)^2=(yz)^2\\\Rightarrow a^2+(a\sqrt{2})^2=(yz)^2\\\Rightarrow (yz)^2=3a^2\\\Rightarrow (yz)^2=3\times (18)^2\\\Rightarrow yz=18\sqrt{3}\\\Rightarrow yz=31.17\ in.[/tex]

Therefore, the length of the opposite corners is [tex]31.17\ in[/tex]

Lorena Purchased A Fish Tank In The Shape Of A Cube With Sides 18 Inches In Length. What Is The Distance

Related Questions

hi help pls doing all my late work last minute so i don’t fail

Answers

Given:

The compound inequality is:

[tex]-1>n\geq 5[/tex]

To find:

The reason for no solution of the given inequality.

Solution:

We have,

[tex]-1>n\geq 5[/tex]

This inequality can be written as two separate inequalities.

[tex]-1>n[/tex] and [tex]n\geq 5[/tex]

The inequality [tex]-1>n[/tex] represents all real values less than -1.

The inequality [tex]n\geq 5[/tex] represents all real values greater than or equal to 5.

Both inequalities [tex]-1>n[/tex] and [tex]n\geq 5[/tex] have no common values. Therefore, the given inequality has no solution. Hence proved.

the function f(x) is graphed below. if f(n)=0 what is the value of n?

Answers

Answer:

n = 6

Step-by-step explanation:

f(n) = 0 is on the n- axis at (6, 0 )

When f(n) = 0 then n = 6

what is the tan K? need help

Answers

Answer:

i have no clue

Step-by-step explanation:

Solve this quadratic equation using the quadratic formula
(3 - y)(y + 4) = 3y - 5

Answers

Answer right here writing because I needs to be 20

5 of 12
A car travels a distance of 180
km in a time of 3 hours.
What is the car's average
speed?​

Answers

Answer: The Cars Average Speed Will Be 60Mph.

The radius of a circle is 2 inches. What is the area of a sector bounded by a 45° arc?

Answers

Answer:

Step-by-step explanation:

Area = angle / 360 * pi * r^2

angle = 45

r = 2

pi = 3.14

Area = 45 / 360 * 3.14 * 2^2

Area = 365.2 / 360

Area = 1.57 square inches.

Answer:

a = π/2 in²   Exact answer

a = 1.5707963268  in²     Decimal approximation

Step-by-step explanation:

a = (∅/360) * πr²

a = (45/360) * π(4)

a = π/2 in²   Exact answer

a = 1.5707963268  in²     decimal approximation

Mr. and Mrs. Steele, deposited $8,000 to open a college savings account for their granddaughter on the day she was born. The account pays 5% simple interest annually. If they made no other deposits or withdrawals since then, how much money would be in the account after 18 years?

Answers

Answer:

see my explantion!!

Step-by-step explanation:

8000*0.05=400

400*18=7200$

The 3rd one please!
I’ll mark you the brainliest!!!!

Answers

Answer:

around 150 to 170 votes

Step-by-step explanation:

exactly atleast 160

Solve for x helpppp pleaseee

Answers

Answer:

10

Step-by-step explanation:

360=95+95+15+7x+15+7x

360-95-95-15-15=7x+7x

140=14x

140/14=x

10=x

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

805

Step-by-step explanation:

The answer is V≈201.06in³

the radius of a circle is 6cm. the diameter of this circle is ____cm





hellppppp​

Answers

Answer:

12

Step-by-step explanation:

radius is half of diameter

Thє rαdíus f α círclє ís 6 cm. thє díαmєtєr σf thís círclє ís 12 cm .

➟ Rαdíus ís thє hαlf σf círclє

What are the dimensions of the tabletop with the
leaves open? Round to the nearest tenth of a foot. Someone please answer I need this for extra credit :))

Answers

Answer:

Dimensions of the tabletop is 2.8 cm × 2.8 cm.

Step-by-step explanation:

From the picture attached,

ABCD is a tabletop with leaves AEG, BEF, CFH and GDH.

Dimensions of the tabletop ABCD,

Length = AB

Width = BC

Coordinates of A → (1, 3)

Coordinates of B → (3, 5)

Coordinates of C → (5, 3)

Coordinates of D → (3, 1)

Length of segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AB = [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]

     = [tex]\sqrt{4+4}[/tex]

     = [tex]2\sqrt{2}[/tex]

     ≈ 2.8 units

BC = [tex]\sqrt{(5-3)^2+(3-5)^2}[/tex]

     = [tex]\sqrt{4+4}[/tex]

     = [tex]2\sqrt{2}[/tex]

     = 2.8 units

Therefore, dimensions of the tabletop is 2.8 cm × 2.8 cm.

An ironwoman race involves 3 swim legs and a beach run back to the start as shown in the figure.
What is the total distance covered in the race?

Answers

Answer:

593 m

Step-by-step explanation:

Total distance covered = perimeter of the trapezoid

= 100 + 75 + 250 + the length of the slant side (2nd swim)

Apply Pythagorean theorem to find the slant side (hypotenuse) since it forms a right triangle if we consider the distance between the parallel bases of the trapezoid.

Thus, let "x" represent the side length we are looking for.

Applying Pythagorean theorem, we have:

x² = 75² + (250 - 100)²

x² = 75² + 150²

x² = 28,125

x = √28,125

x = 167.705098 ≈ 168 m

✔️Total distance covered = 100 + 75 + 250 + 168 = 593 m

Guys l forgot how to do this l knew how to buy can someone please remind me what to do asap pleasee

Answers

the image is all black. cant see anything lol

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3

Answers

Answer:

Its D because the x axis can repeat itself

Step-by-step explanation:

A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated.

Answer:

D, the last one

Step-by-step explanation:

A function, f(x), cannot have repeating x-values. Option D has the number 5 repeated twice, {1, 5, 5, 7}, in the x-column, therefore it cannot be a function of x.

During a sale, a shopkeeper reduced the prices of all his goods by 25%.
Calculate the normal selling price of a pair of shoes which was sold for Rs 1350 in the sale.

Answers

let be the real price x :

x - x × ( 25/100 ) = 1350

x - x × ( 1/4 ) = 1350

x - x/4 = 1350

4x - x / 4 = 1350

3x / 4 = 1350

3x = 1350 × 4

3x = 5400

x = 5400 ÷ 3

x = Rs 1800

In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class did not complete the homework?

Answers

Answer:

7/27

Step-by-step explanation:

the amount of students total is 27 people because you just add all of the values in the chart together.

after that, you need to find how many student didn't do the homework, and the amount is 7 because 3 students passed the test but didn't complete their homework and 4 students failed the test and didn't complete their homework.

Find mMLK. 272 °. please and thank you!!

Answers

Answer:acute angle less than ninety so around fourth five

Step-by-step explanation:

I NEED HELP PLS i don’t understand exactly how to do this :/

Answers

Answer:

I assume AC = 49.89 since the number is cut off

Step-by-step explanation:

tangent(degree) = opposite / adjacent

To find AC, you can set up tan(29) = AC / CB

tan(29) = AC / 90 (the picture is cutted off, so I assume....)

[tex]90*tan(29)[/tex] = AC

Shayla's ndeshare fare from the airport was $28.50, and she added a 15% tip. How much did Shayla pay in total?

Answers

Answer: 15 percent of 28.50 is 4.275

So 28.50 + 4.275 = 32.775

So $32.77

Answer:

32.78 100% correct did usa test prep

Step-by-step explanation:

Three friends take a road trip to Florida. They drive a total of 1,042 miles. Doug drives 400, Ben drives 342, and Chris drives 300. What percent did each one drive on the trip?
A. Doug 40.4%, Ben 33%, Chris 26.6%
B. Doug 38.4%, Ben 20.8%, Chris 40.8%
C. Doug 38.4%, Ben 32.8%, Chris 28.8%
D. Doug 41.1%, Ben 40.2%, Chris 18.7%

Answers

Answer:

C

Step-by-step explanation:

Doug:  400/1042 = .3838 = 38.4%

Ben:  342/1042 = .3282 = 32.8%

Chris:  300/1042 = .2879 = 28.8%

Answer:

Doug 38.4%, Ben 32.8%, Chris 28.8%

Police use breath analyzer to detect the level of alcohol in drivers. Which property of alcohol is used in breath analyzers? A. reducing properly B. oxidising property C. denaturing property D. dehydrating property​

Answers

Answer:

not good destroy body mind effect

HELP PLEASE I NEED HELP

Answers

[tex]C. \: 8 \sqrt{3} [/tex]✅

Step-by-step explanation:

[tex] \sqrt{192} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times 3} \\ = \sqrt{ {8}^{2} \times 3 } \\ = 8\sqrt{3}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

HELLPPPP ITS DUE TODAYYY!!!

Answers

fraction- 3/10
decimal- 0.30
percent- 30%

Answer: 3/10, 0.3, 30%

Step-by-step explanation: If you count the shaded rectangles individually, you can find the numerator and denominator of the fraction. For the decimal, it would have to be 0.3 because 0.3 has "three-tenths", which is 3 in the tenths place. For the percentage, 3/10 is equal to 30/100 because 30/100 can be simplified to 3/10.

I hope you find this helpful, have a nice day.

What is the first step in solving the following equation:

−1\2x − 33 = 33

Answers

Answer:

add 33 to both sides

Step-by-step explanation:

Given

- [tex]\frac{1}{2}[/tex] x - 33 = 33 ( add 33 to both sides )

- [tex]\frac{1}{2}[/tex] x = 66 ( multiply both sides by - 2 to clear the fraction )

x = - 132

Answer:

First step is to make x the subject of the equation.

Step-by-step explanation:

[tex]-\frac{1}{2} x - 33 = 33\\\\-\frac{1}{2} x= 33 + 33\\\\-\frac{1}{2} x = 66\\\\- x = 2 \times 66 = 132\\x = -132[/tex]

What is the ratio for cos B

Answers

Answer:

cos B = 8/17

Step-by-step explanation:

The cosine function is defined as (adjacent side) / (hypotenuse), and in this case is 8/17.

find the measure of the angle with the ?. no links​

Answers

Answer:

D) 146

Step-by-step explanation:

Exterior angle thm:

42 + 104 = x

x = 146

Help please thank you!

Answers

Answer:

Step-by-step explanation:

W(-4,-10) lies on third quadrant.

M(-12,0) lies on second quadrant or can say in x axis

C(8,3) lies on first quadrant.

K(11,-5) lies on fourth quadrant.

Helpppppppppppp plsssssssssssssssssssssssssss!

Answers

Answer:

<FGH and <JKL are supplementary

<AED and <BEC are complementary

Step-by-step explanation:

For supplementary angles, the sum of the pair of angles must be 180degrees

Given;

<FGH = 109degrees

<JKL = 71degrees

Taking the sum

<FGH + <JKL

= 109 + 71

= 180

Since the sum of the angles is 180, hence <FGH and <JKL are supplementary

Similarly;

Given

<AED = 45degrees

<BEC = 45degrees

Taking the sum

<AED + <BEC

= 45 + 45

=90degrees

Since the sum of complementary angles is 90degrees, hence <AED and <BEC are complementary

Question 17 *
There are 24 girls in a class. The ratio of girls to boys is 3 : 8.
How many boys are in the class?​

Answers

There are 64 boys in the class because 24/3=8 and you have to do the same thing so 8 times 8= 64
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