Mathematics College

If you have 250 toothpicks, and want to make them into a pyramid (shown in photo), how many levels will it make?

I know there are 12 rows shown in the photo, but I'm not sure of the equation you need in order to actually find that there are 12 levels. Could anyone tell me? Thanks! :)

Answers

Answer 1

Answer:

12 full levels

Step-by-step explanation:

There are multiple ways to do this, what I prefer is recursion

Let's define a equation which helps us determine the number of toothpicks of a pyramid with x levels f(x)

f(1)=3

f(2)=9

f(3)=18

f(4) =30

Etc Etc...

Eventually we can see that for every level x×3 toothpicks are added to f(x-1), so

f(x) = 3*x + f(x-1), so this becomes a geometric sequence 3*(1+2+3...+x)

Now we want to find out how many levels 250 toothpicks can make

250=3*(1+2+3+4..+x)

250/3 = 1+2+3...

I assume you want full levels so I will round down the answer, the closest you can get to 250/3 is (1+2+3...12)

So 12 full levels and a bit of extra toothpicks left

Answer 2

There are 12 full levels it will make.

What is a triangular pyramid?

Take a traingle. This is a base. Now take 3 triangles such that each of them are connected to one-one side of the first traingle and when they're taken together, they form a closed object, called as a triangular pyramid.

here a equation which helps us determine the number of toothpicks of a pyramid with x levels f(x)

f(1)=3

f(2)=9

f(3)=18

f(4) =30

we can see that for every level x×3 toothpicks are added to f(x-1), so

f(x) = 3x + f(x-1), so geometric sequence 3*(1+2+3...+x)

Now we want to find out how many levels 250 toothpicks can make;

250=3*(1+2+3+4..+x)

250/3 = 1+2+3...

Thus, the closest we can get to 250/3 is (1+2+3...12)

Hence, 12 full levels and a bit of extra toothpicks left

Learn more about pyramid here:

https://brainly.com/question/16261758

#SPJ2

Related Questions

2. What value of x makes the equation true? 1.7x - 7 = 1.2x +5 *
4.13
-4
24
2.9
I need help!

Answers

Answer:

Step-by-step explanation:

1.7x - 1.2x = 5 + 7

0.5x = 12

x = 24

a cyclist rides his bike at a rate of 40 kilometers per hour. what is this rate in miles per hour? how many miles will the cyclist travel in 5 hours? in your computations, assume that 1 mile is equal to 1.6 kilometers. do not round your answers.

Answers

Answer:

64 miles per hour; 320 kilometers in 5 hours

Step-by-step explanation:

take 1.6 multiplied by 40 and get 64 for the first question

then take 64 multiplied by 5 and get 320 for the second question

Can you help me find the surface area of this prism?

Answers

Answer:

To find the surface area of this parallelepiped, we need to know how to find the area of a regular parallelogram.

Formula for area of a parallelogram;

A = BH

Where b represents the base, and h displays as the height.

Once, we know how to find the area of a parallelogram, we find the areas of the three different sides of this figure and multiply it by two since opposite sides have an equal area.

Now we find the area of the front parallelogram:

A = BH

Plug in our values;

A = 4(2)

A = 8, and since opposite sides are equal:-

8(2) = 16, is the area of both the front and back parallelograms.

Now the top and bottom bases of this parallelepiped.

But, to find the height and base of this, we transfer the base of the front parallelogram and the base of the right parallelogram. So our base and height is 4.

A = BH

Plug in our values;
A = 4(4)

A = 16, and since opposite sides are equal:-

16(2) = 256, is the area for both the upper and bottom bases.

Now for the right and left parallelograms;

A = BH

Plug in our values;

A = 4(2.5)

A = 10, since opposite sides are equal:-

10(2) = 20, is the area of both the right and left parallelograms.

Now we add all the areas together:

16 + 256 + 20

= 292 square meters.

A certain electronic component manufacturing process produces parts, 20% of which
are defective. Parts are shipped in units of 400. Shipments containing more than 90 defective parts
may be returned. You may assume that each shipment constitutes a simple random sample of parts.

Answers

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

i’ll mark brainlest to whoever answers this question first! :)

Answers

Answer:

y=-3/4+1

Step-by-step explanation:

Goes three down, 4 right and intersects at 1 on y axis

Answer:

The answer is: y= -3/4x+1

If it's wrong than I'm sorry

I need help on this!

Answers

Answer:

A correctly shows the location of all the given values.

Step-by-step explanation:

The main difference can be found with the value -2 [tex]\frac{3}{4}[/tex]. This value would be less than -2 so the dot should be close to the middle line between -2 and -4.

Hope this helps~!

Answer:

Step-by-step explanation:

A) -4, -2 3/4, 1/2 , 1 1/4

B) -4, -2 1/4, 1/2 , 1 1/4

C) -4, -1 1/4, 1/2, 2 1/4

D) -4, -1/2, 1/2, 2 3/4

State the range of f(x) on this domain interval.

Answers

Answer:

The range of a function is the set of outputs of the function

on the graph, outputs of a function are on the y-axis. So we will see the highest and the lowest output of this function

From the graph, we see that the function has the outputs:

{0 , 1 , 2 , 3 , 4 , 5 , 6}

Therefore, this is the range of the function

6th-grade math help on geometry.

Answers

Answer:

okay , attach a file .

Step-by-step explanation:

3. Each fime the team loses, they lose
7 points in the standings. Use the
expression below to show the total
number of points lost from their 5 losses.
581-7

Answers

Answer:

the expression you showed wasn't correct but I still something with the expression but I don't think is the correct answer

Step-by-step explanation:

=> {581}-{7}

=> {574}

=> 574

find the area of the shape A B C D
find the perimeter of the shape A B C D
find the area and perimeter of the shape DBC

Answers

Answer:

ABCD = 9cm²

BCD =7.5cm²

perimeter of abcd = 25.8cm

An umbrella is made up of 6 isosceles triangular pieces of cloths. The measurement
of the base of each triangular piece is 28 cm and two equal sides are 50 cm each.
If the rate of cost of the cloth is Rs 0.50 per sq. cm., find the cost of the cloths
required to make the umbrella.

Answers

There you go

PLEASE MARK IT AS A BRILLIANT ANSWER

Ms. Russell has 31 students in her class. There are 14 boys and 17 girls. What fraction represents the number of girls in her class.

Answers

31 students total
14 boys
17 girls

17/31 girls fraction

A penguin walks 10 feet in 6 seconds. how far does the penguin walk in 45 seconds EXPLAIN OR SHOW YOUR REASONING

Answers

Answer:

75 feet in 45 seconds

Step-by-step explanation:

*disclaimer*

dont know if this is how you were taught to do this but heres how i was:

[tex]6 sec /10 ft. = 45 sec / x[/tex]

Set this up as a proportion.

Then multiply 10 ft by 45 sec, and 6 sec by x

Your equation then simplifies to

6x = 450

x = 75

Evaluate f(-3) if
f(x)=x^2+2x
Be sure to include f(x)=
due in 1 hour

Answers

Answer:

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

Step-by-step explanation:

[tex]f(x)=x^2+2x\\\\f(-3)=(-3)^2+2(-3)\\\\f(-3)=9-6\\\\f(-3)=3[/tex]

Answer:

f(-3) = 3

Step-by-step explanation:

plug in -3 for x in the equation.

(-3)^2 + 2(-3)

9 + (-6)

9 - 6

You were 20 inches tall at birth, and 65 inches tall on your 10th birthday. Create a linear equation to
represent this situation. According to your equation, how tall will you be at age 20?

Answers

linear equation: y= 3.5x + 20

height at 20: 90in

Explanation-

linear equation:

x represents the number of years
y represents the height in inches

we’ll have the points
(0,20) height at birth
(8, 48) height at 8th birthday

to find slope you would do

m= (48-20)/(8-0)
= 3.5 inches/year

b would be 20

so y= mx + b would give you

y=3.5x + 20

if you add 20 into that equation you’d get

y= 3.5(20) + 20 = 90inch

y=90

B) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.

C) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.

D) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.

E) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.

Answers

[B] Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has vertical line symmetry, but does not have horizontal line symmetry.

Explanation: Base on the given you can see that the letter 'A' is vertical cut into equally but not horizontal

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

C) Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has horizontal line symmetry, but does not have vertical line symmetry.

Explanation: Base on the given you can see that the letter 'D' is horizontal cut into equally but not vertical

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

D) Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has BOTH horizontal and vertical line symmetry.

Explanation: Base on the given you can see that the letter 'H' is equally cut in vertical and horizontal line symmetry.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

E) Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has NEITHER horizontal or vertical line symmetry.

Explanation: Base on the given you can see that the letter 'J' is not equally cut in vertical neither horizontal.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Learn with Lenvy~

Complete the reasons for the proof.
Given:
m<3 = m<4
To Prove:
<1, <2 are supplementary

Answers

2. 2 sides in a line

3. linear (or) supplementary

5. Vertically, equal

6.Substitution

7. alternate exterior angles

Answer:

see below

Step-by-step explanation:

1. given

2. adjacent sides in straight line

3. definition of supplementary adjacent angles

4. substitution

5. opposite angles are equal

6. substitution

7. definition of alternate exterior angles

8-2(-4-7) not sure how to do this?

Answers

You always have to do what is inside the parenthesis first

-4 - 7 = -11

Next, you have to times that result with 2 (don't mind the negative/minus sign yet)

2 * (-11) = -22

8 - (-22) = 30

Answer = 30

Help ASAP!!!!
Use vector operations to draw the resultant vector
Draw 2u – 1/3v.

Answers

Vectors are elements of the vector space, and they can be illustrated by diagrams.

How to draw the vector 2u - 1/3v

The vector expression is given as:

2u - 1/3 v

Split the vector expressions, as follows:

[tex]y_1 = 2u[/tex]

[tex]y_2 = -\frac13v[/tex]

See attachment for the graphs of y1 and y2.

Next, we have:

[tex]y = 2u - \frac13v[/tex]

So, we have:

[tex]y = y_1 + y_2[/tex]

The above expression means that, we add the vectors y1 and y2 to get vector y

See attachment for the graph of 2u - 1/3 v

Answers

Answer:

photo not clear

Step-by-step explanation:

try re-upload the question

solution of the line y − 2x = 6

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-2*x-(6)=0

STEP

Equation of a Straight Line

1.1 Solve y-2x-6 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

Mary works at the Elementary School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Elementary School. How far did Mary travel if she took the shortest route?

A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles

Answers

Answer:

D. 96 miles

Step-by-step explanation:

So, first, to get to the airport, we can take the shortest route, which is Elementary School to City Hall (21), then to High School (12), then to Airport (15).

This adds up to 48 miles.

Then, we go back to City Hall, through the High School, which is 27 miles (15+12)

Then, we go to the Elementary School from City Hall, which is 21 miles.

Add up all the miles and you get:

48 + 27 +21 = 96

HELP ASAP ILL GIVE BRAINLIEST AND EXTRA POINTS

Answers

it going to be number three

the answer to this is x=1

NEED LINEAR ALGEBRA ANSWER ASAP
B IS INCORRECT

Answers

Answer:

Choice D

Step-by-step explanation:

Multiply the scalar into the matrix

3*2

3*-1

The first matrix becomes

-3

6 - 0

-3 =1.5

We are subtracting a negative so it is like adding

6 + 0

-3 + 1.5

-1.5

Choice D

Answer:

4th option

Step-by-step explanation:

3 [tex]\left[\begin{array}{ccc}2\\-1\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}0\\-1.5\\\end{array}\right][/tex] ← multiply the components of the first matrix by 3

= [tex]\left[\begin{array}{ccc}6\\-3\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}0\\-1.5\\\end{array}\right][/tex] ← subtract corresponding components

= [tex]\left[\begin{array}{ccc}6-0\\-3-(-1.5)\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}6\\-3+1.5\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}6\\-1.5\\\end{array}\right][/tex]

10. Read the question carefully and type your answer in the space below. *
3 points
Use each digit shown below to create a 5-digit number with the greatest value and
a 5-digit number with the least value. Each digit can only be used once in each
number. Then write a number sentence using >,<, or = to compare the two
numbers you created.
2, 9, 1, 3, 8
Your answer
This is a required question
Submit
Never submit passwords through Google Forms.

Answers

Answer:

Greatest = 98,321

Least= 12,389

98,321>12,389

Step-by-step explanation:

there are only 5 digits. To get the greatest number, the digits with the most value should be put in front to ensure the great value.

To get the smallest number, the digits with the least value should be put in front.

The greater valued number is greater than the least valued number

PLEASE PLEASE HELP !

Answers

Answer: if you multiple 4.25 and 2 and that will be the answer you welcome

A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second . How fast was it going ?

Answers

Answer:

30m/sec

Step-by-step explanation:

v=s/t

given s= 10m

t=1/3 sec

v= 10/(1/3)=10×3/1= 30 m/s

Answer:

10 meters per 1/3 second equals

30 meters per second and multiplying this by 60 makes it

900 meters per minute or .9 kilometers per minute

multiplying this by 60 makes it

54 kilometers per hour

Step-by-step explanation:

Factorise 2x² + 6x + 36

Answers

Answer:

[tex]2 (x^2+3x+18)[/tex]

Step-by-step explanation:

hope the image helps

find the area pls i need it

Answers

Answer:

521 mm²

Step-by-step explanation:

Hi there !

A = Asemicircle + Atrapeze

Asemicercle formula

r = d/2 = 20mm/2 = 10mm

Asc = π·r²/2

= 3.14·(10mm)²/2

= 3.14×100mm²/2

= 157 mm²

Atrapeze formula

At = (b + B)×h/2

= (20mm + 32mm)×14mm/2

= 52mm×7mm

= 364 mm²

A = Asc + At

= 157mm² + 364mm²

= 521 mm²

Good luck !

Solve for c.

ab + c = 5

c = 5/ab
c = 5 - ab
c = 5 + ab

Answers

ab=0
c=5
Doble check it tho

C=5/ab is what I think the answer is

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If you have 250 toothpicks, and want to make them into a pyramid (shown in photo), how many levels will it make? I know there are 12 rows shown in the photo, but I'm not sure of the equation you need in order to actually find that there are 12 levels. Could anyone tell me? Thanks! :)

Answers

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If you have 250 toothpicks, and want to make them into a pyramid (shown in photo), how many levels will it make?

I know there are 12 rows shown in the photo, but I'm not sure of the equation you need in order to actually find that there are 12 levels. Could anyone tell me? Thanks! :)