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

Which of these is the cross section if the slice is made perpendicular to the base?

A. square
B. triangle
C. rectangle
D. rhombus


***(NO LINKS AND ANSWER SERIOUSLY)***​

Answers

Hi there!

[tex]\large\boxed{\text{ C. Rectangle}}[/tex]

If cross sections were made perpendicular to the base, they would assume the shape of the lateral sides.

Thus, the cross sections would be rectangles. The correction answer is C.

A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.

Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

y = 2x

Step-by-step explanation:

x represents the amount of attendees. y is the total amount of money they get.

The stem-and-leaf plot shows the number of broken crayons in each crayon box at a preschool. What is the greatest number of broken crayons in a box? A 7 crayons B 47 crayons c 477 crayons d 1469 crayons

Answers

Answer:

47

Step-by-step explanation:

Values on a stem and leaf plot can be obtained by using the key :

Stem | leaf

With each value in the stem representing the first digit and the value in the leaf denoting the second digit.

The highest stem value here is 4 and the highest leaf value is 7.

Hence, the highest number of broken crayon is 47.

Which name could be used to describe this group of solid shapes?

Answers

Answer: shapes with at least 1 circular face

Step-by-step explanation:

The major types of solid shapes are: cubes, cuboids, prisms, pyramids, platonic solids, torus, cone, cylinder, and sphere.

D Shape with at lease 1 face

HOPE THIS HELPS

What is the length of the hypotenuse?

Answers

Answer:

Step-by-step explanation:

a^2+b^2=c^2

3^2+4^2=c^2

9+16=c^2

25=c^2

[tex]\sqrt{25[/tex]=c

5=c

Answer:

5 miles

Step-by-step explanation:

as we know, c^2 = 4^2 + 3^2

c^2 = 25 miles

c = 5miles

What is the 1st step in evaluating this expression? 12 divided by (7.4 - 3.6) + 8 -2= *

Answers

Answer:

The 1st step in evaluating the expression is doing the equation in the paranthesis. PEMDAS states we do the paranthesis 1st.

A report states that the mean household income last year for a certain rural county was $46,200 and the median was $54,500. If a histogram were constructed for the incomes of all households in the county, would you expect it to be skewed to the right, to the left, or approximately symmetric

Answers

Answer:

skewed to the left

Step-by-step explanation:

A histogram is used to represent data graphically. the histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.

If the mean is greater than the median, the histogram would be skewed to the right

If the mean is less than the median, the histogram would be skewed to the left.

The mean in this question is $46,200 while the median is $54,500. So, the histogram would be skewed to the left

Answer in simplest from

Answers

Answer:

5 4/5

Step-by-step explanation:

Answer:

6 1/10

Step-by-step explanation:

Add 4 1/2 and 1 3/5. To add that, you need to multiply the denominators and the numerators, in this case that equals 10. So then add the fractions first 5/10+ 6/10=11/10. Since that is an improper fraction, add +1 to the hole numbers, so you answer would be 6 1/10

WILL MARK BRAINLIEST PLEASE HELP ASAP !!!
Find the measure of the missing angles.

Answers

80 I believe hopefully it’s correct

Answer:

b=70 degree (by vertically opposite angle)

and c can be calculated as

b+c=180°

c=180°-b

c= 180°-70°

c= 110°

hence b=70° and c=110°

write three rational numbers between 1. -1 and 1 2. -4 and-3​

Answers

Answer:

1. -1/2 1/2 1/4

2. -3.5 -3.6 -3.7

3. -1/10 -1/11 -1/12

hope this helps

have a good day :)

Step-by-step explanation:

The area of a circle is 161 in. What is the radius?​

Answers

Answer:

Approximately 7.16 in

Step-by-step explanation:

Hi there!

Area of a circle equation: [tex]A=\pi r^2[/tex] where r is the radius

Plug in the given area 161 in.²

[tex]161=\pi r^2[/tex]

Divide both sides by π to isolate r²

[tex]\frac{161}{\pi} =\frac{\pi r^2}{\pi} \\\frac{161}{\pi} =r^2[/tex]

Take the square root of both sides to isolate r

[tex]=r^2\\\sqrt{\frac{161}{\pi}} =r\\7.16=r[/tex]

Therefore, the radius of the circle is approximately 7.16 in.

I hope this helps!

What is the fifth term in the geometric sequence?

1, 2, 4, 8, ...
12
16
32
64

Answers

Answer:

16.

Step-by-step explanation:

nth term = a1r^(n-1)

Here a1 = 1, n = 5 and r = 2/1 = 2.

5th term = 1 * (2)^(5-1)

= 1*2^4

= 16.

HELP ME PLZ IM CRYING predict the number of catfish kathy will catch next week if she catches 54 fish
6 carp
8 bass
7 catfish

Answers

Answer:

18

Step-by-step explanation:

Take a breath :) . I've got your back.

If she caught 6 carp + 8 bass + 7 catfish, she caught 6 +8 +7 fish total = 21.

7 of 21 were catfish.

If she catches 54 fish instead of 21, (and we have to assume the ratio stays the same), how many will be catfish?

Ratios are 7:21 and x:54, but we'll write them as fractions:

7/21 = x/54

Then cross multiply:

21x = (54)(7)

21x = 378

divide both sides by 21

x = 18

If she catches 54 fish total, we predict she will catch 18 catfish.

---------------------------------------------

If we go back to the original 7/21, we can reduce that to 1/3. Then ask what is 1/3 of 54? 18.

A committee of 3 men and 4 women , is to be formed from 5 men and 7 women . How many different committees can be formed if :
A. a particular man must be on the seat
B .two particular must not be on the committee
C. There are no restrictions.

Topic : Permutation and combination

Answers

Answer:

Part A

A particular man on the seat, then 2 men are out of 4:

4C2 = 4!/(4-2)!2! = 4*3*2/2*2 = 6

4 women out of 7:

7C4 = 7!/(7-4)!4! = 7*6*5*4!/3!4! = 35

Total combinations:

6*35 = 210Part B

Option 1. 2 men excluded

3 men out of 3 and 4 women out of 7

Total ways:

7C4 = 35 (as above)

Option 2. 2 women are excluded

3 men out of 5 and 4 women out of 5

5C3*5C4 = 5!/3!(5-3)! * 5!/4!(5-4)! = 5*4/2 * 5/1 = 10

Option 3. 1 man and 1 woman excluded

3 out of 4 men and 5 out of 6 women:

4C3*6C5 = 4!/3!(4-3)! * 6!/5!(6-5)! = 4*6 = 24 Part C

No restrictions, so the number of ways:

3C5 * 7C4 = 5!/3!(5-3)! * 35 = 4*5/2 * 35 = 10*35 = 350

Given the equation: ( x + 3)2 + ( y - 4)2 = 25

1. Center: ( , ) ??

2. Radius: ??

3. Diameter: ??

Answers

Answer:

See below

Step-by-step explanation:

Center:   (-3, 4)

radius = r = [tex]\sqrt{25}[/tex] = 5

diameter = 2r = 10

Answer:

Center= (3,-4)   Radius=5   Diameter=10

Step-by-step explanation:

The numbers (3,-4) are the coordinates in the center of a circle. The radius is squared to get the end number so to get the radius, you have to find its square root- [tex]\sqrt{25[/tex] =5. The diameter is 2 times bigger than the radius so 5 times 2= 10.

what is 2/3 - 1/3 I appreciate all answers!! (btw i dont wanna do all the math right now so i know how to do it i am just not in the mood of doing it rn.)

Answers

Answer:

1/3

Step-by-step explanation:

2/3-1/3=1/3

#Carry on Learning

[tex]0.333[/tex] ✅

Step-by-step explanation:

[tex] \frac{2}{3} - \frac{1}{3} \\ = \frac{2 - 1}{3} \\ = \frac{1}{3} \\ = 0.333[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning}}{\orange{.}}}}}[/tex]

Isis works at a restaurant. Today, it takes him 16 minutes to fold 40 napkins. He plans to fold napkins for 30 minutes tomorrow. If he works at the same rate, how many napkins will he fold tomorrow?

Answers

He will fold 75 napkins tomorrow

Properties of Triangles (Math please help meee its worth 100 points in my grade)

Answers

First off all angles within a triangle added to together add up to 180 degrees.

Also an isosceles triangle has two sides of equal length (as shown by the two lines drawn through the sides of the triangle)

Since you are given the angle B as 46 degrees that means that angle C is also 46 degrees (since they both share the same base and since both sides of the triangle are equal).

When added together you can subtract this from 180 degrees.

So...

180-92=88

88 is your answer.

The equation y= ax describes the graph of a line. If the value of a is negative,
the line:

A. goes down and to the left.
B. is vertical.
C. goes up and to the left.
D. is horizontal.

Answers

Answer:

Goes up and to the left

Step-by-step explanation:

If the value of a is negative, the line is going down and to the left.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is that the equation {y} = ax describes the graph of a line.

It is asked to find that if the value of {a} is negative, then what would be the orientation of the line.

The general equation of a straight line is -

y = mx + c

Here {m} denotes the unit rate. Unit rate is the rate at which the value of {y} changes per unit change in the value of {x}. So, we can write that the orientation of the line is going down and to the left.

Therefore, if the value of a is negative, the line is going down and to the left.

To solve more questions on straight line, visit the link-

https://brainly.com/question/29223887

#SPJ7

What is the median of the numbers 2 5 6 8 10

Answers

Answer:

Median is 6

hope it helps u!!! have a great day ahead..

Answer:

6

Step-by-step explanation:

because a median means. the number located at the centre of of the Patten

There 10 race. Medals are awarded for , 2nd and 3rd place. how many different ways can the medals be awarded?

Answers

there are 720 different possible ways the 3 prizes are awarded.

Answer:

20 ways

Step-by-step explanation:

Because You can get a 2nd place and 3rd place medal so thats 2 ways but there are 10 races so times 10 is 20 :)))))

I am doing my homework and am completely stumped on this one... help please?


Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry.

Answers

Question:

Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry.

Answer:line symmetry and rotational symmetry; 90°; order 4

Hope it helps

-------☆゚.・。゚ᵴɒƙυᴚᴀ_ƨȶäᴎ❀

A billboard is 6 meters long . One centimeter is approximately 0 .39 inch . About how long is the billboard in inches? Round to the nearest whole inch. In.

Answers

Answer: 234 inches

Step-by-step explanation:

The billboard is 6 meters long and we are given the conversion factor for centimeters to inches.

To convert the length to inches therefore, convert the length from meters to centimeters first:

1 meter = 100 cm

6 meters would therefore be:

= 6 * 100

= 600 cm

1 cm = 0.39 inches so 600 cm is:

= 600 * 0.39

= 234 inches

NEED HELP PLSSSS I DONT KNOW THE ANSWER

Answers

Answer:

[ 3 , ∞ ) Set-Builder Notation:

{ x | x ≥ 3 }

Step-by-step explanation:

Can someone help me? Fast!

Answers

Answer:

1/3 n - 3 > 6; n = 9

Step-by-step explanation:

1/3(9) - 3 > 6

3 - 3 > 6

0 > 6

WILL GIVE BRAINLIEST!
Ms. Sally is ordering sets of place-value blocks for the 3rd, 4th, 5th graders. She want one set for each student, and there are 6 sets of blocks in a carton. How many cartons should Ms. Sally order?

3rd grade - 48 students
4th - 43 students
5th - 46 students
6th - 50 students

Answers

Answer:

32 cartons

Step-by-step explanation:

Total sets needed

48 + 43 + 46 + 50 = 187

Cartons needed

187 / 6 = 31 1/6

need 32 cartons

Answer:

32 cartons

Step-by-step explanation:

add up all of the students = 187

divide by 6 = 187/6 = 31.16

round = 32 cartons

What is the volume of a hollow ball whose other radius is 200m and inner radius of
100m.
What is the mass if it is iron*

Answers

Answer:

The volume of the hollow ball will be equal to the difference between the volume of a sphere with the outer radius and the volume of a sphere with the inner radius.

Remember that the volume of a sphere of radius R is given by:

V = (4/3)*pi*R^3

where pi = 3.14

Then if R is the outer radius, and r is the inner radius, the volume of the hollow ball is:

V = (4/3)*pi*( R^3 - r^3)

In this case, we have:

R = 200m

r = 100m

Then the volume of the hollow ball is:

V = (4/3)*3.14*( (200m)^3 - (100m)^3)

V = 29,306,666.67 m^3

Now, if this hollow ball is made of iron, we want to find the mass.

Remember the relation:

Mass = Density*Volume.

We know that the density of the iron is:

D = 7300 kg/m^3

Then the mass of this hollow ball is:

M = (7300 kg/m^3)*(29,306,666.67 m^3) = 213,938,666,666.6 kg



Which is correct (only one answer)

A -No, because a honors student is less likely to have a public library card than a non-honors student.

B-No, because a non-honors student is less likely to have a public library card than an honors student

C- Yes, because a non-honors student is more likely to have a public library card than an honors student

D- Yes, because a honors is more likely to have a public library card than a non-honors student

Answers

D is the correct answer I believe.

It may seem like it’s A just by looking at numbers alone. But when you look at percentages and such most of the 120 honors students have library cards whereas less than half of the non honors students have library cards.

Which angle has its terminal side on the negative x-axis?

Answers

Answer:

π radians

Step-by-step explanation:

*view photo*

I NEED THIS ANSWER After simplifying, which expressions are equivalent? Select three options.
(3.4a – 1.7b) + (2.5a – 3.9b)
(2.5a + 1.6b) + (3.4a + 4b)
(–3.9b + a) + (–1.7b + 4.9a)
–0.4b + (6b – 5.9a)
5.9a – 5.6b

Answers

Answer:

1, 3, 5 are correct

Step-by-step explanation:

1. (3.4a – 1.7b) + (2.5a – 3.9b) = 5.9a - 5.6b

2. (2.5a + 1.6b) + (3.4a + 4b) =   5.9a + 5.6b

3. (–3.9b + a) + (–1.7b + 4.9a) = 5.9a - 5.6b

4. –0.4b + (6b – 5.9a) = 5.9b - 5.6a

5. 5.9a – 5.6b = 5.9a – 5.6b

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