Find the perimeter of a train of 100 equilateral triangles if the triangles are joined side to side. Each side is one inch long. Write an equation to determine the perimeter of the triangle train.

Answers

Answer 1

Answer:

102

Step-by-step explanation:

Each triangle will have a perimeter of 3. When joined, the outside triangles will have 2 sides showing, or 2 inches. The middle 98 will only have one free side, or one inch. This means that 98*1 + 2*2 = 102

Answer 2
Final answer:

To calculate the perimeter of 100 equilateral triangles joined side to side, each with a side of one inch, use the formula P = 2s + (n - 1)s. With s = 1 inch and n = 100, the perimeter is 101 inches.

Explanation:

To find the perimeter of a train of 100 equilateral triangles, we start by acknowledging that each triangle contributes two sides to the perimeter since they are joined side to side. An individual equilateral triangle has three sides of equal length; however, when joined in a train, the shared side does not contribute to the perimeter. Therefore, the equation to determine the perimeter (P) of the triangle train with 100 triangles, each with a side length (s) of one inch, would be:

P = 2s + (n - 1)s

Where n is the number of triangles in the train. Plugging in the values, we get:

P = 2(1 inch) + (100 - 1)(1 inch) = 2 inches + 99 inches = 101 inches.

This calculation shows that the perimeter of a train of 100 equilateral triangles, each with sides of one inch, is 101 inches.


Related Questions

The weather report stated there is a chance of 2/3 rain on Friday. It is more likely to rain on Saturday than on Friday, but not certain. What is a possible probability of rain on Saturday?

Answers

3/4 chance of rain for saturday

Answer:

3/4 chance of rain for saturday

Step-by-step explanation:


Explain the difference between the superlative and comparative degree.

Answers

Answer:

The superlative degree compares more than two things to show which has the least or greatest degree of the quality.comparative degree is  used when just comparing two things.

Step-by-step explanation:

Final answer:

The comparative degree is used to compare two items, while the superlative degree is used to compare three or more. Comparatives typically end in -er, while superlatives end in -est, except in cases of adjectives with more syllables where 'more' and 'most' are used respectively. Absolute adjectives generally do not have comparative or superlative forms.

Explanation:

Difference Between the Comparative and Superlative Degree

The comparative and superlative degrees are used to make comparisons between nouns based on some attributes described by adjectives or adverbs. The comparative degree is used when comparing two items, while the superlative degree is used when comparing three or more items. Comparative adjectives often end in -er, and superlative adjectives often end in -est. For example, the adjective 'hot' becomes 'hotter' in the comparative form and 'hottest' in the superlative form.

For adjectives of three or more syllables, and some two-syllable adjectives, the comparative is formed by adding the word 'more' before the adjective, and the superlative is formed with 'most'. For instance, 'famous' becomes 'more famous' and 'most famous' in comparative and superlative forms respectively. Some adjectives and adverbs are irregular and do not follow these standard patterns of formation. Furthermore, adjectives that describe absolute qualities, such as 'dead' or 'pregnant', typically do not have comparative or superlative forms.

It is important to never use both types of comparison for the same adjective, as in 'most hardest'. The correct form would be 'hardest', without the 'most'. Also, it's useful to know that adjectives imply a scale of degrees, and comparative forms indicate one item's position on that scale in relation to another, while superlatives indicate the extreme ends of that scale.

Jasmine invests $1500 in an account that earns an interest rate of 4% compounded
continuously. How much money will she have in 4 years? (round to the hundredth place)

Answers

Answer:

After 4 years she will have $1760.67 in her account.

Step-by-step explanation:

Jasmine invested initial amount = $1500

Rate of interest = 4% compounded continuously

Duration of investment = 4 years

Formula to calculate the final amount when compounded continuously is,

[tex]P(t)=Ie^{rt}[/tex]

where I = Initial amount

r = rate of interest

t = duration of investment

P(t) = Final amount

[tex]P(4)=1500e^{0.04(4)}[/tex]

        = [tex]1500e^{0.16}[/tex]

        = 1760.266

        ≈ $1760.27

Therefore, after 4 years she will have $1760.67 in her account.

Final answer:

To calculate the amount of money Jasmine will have in 4 years with a 4% continuous interest rate, use the formula A = P * e^(rt), where A is the final amount, P is the principal, e is Euler's number, r is the interest rate, and t is the time in years. Evaluating the expression, the result is approximately $1657.29.

Explanation:

To calculate the amount of money Jasmine will have in 4 years, we can use the formula for compound interest. The formula is: A = P * e^(rt), where A is the final amount, P is the principal (initial investment), e is Euler's number (approximately 2.718), r is the interest rate, and t is the time in years. In this case, Jasmine invests $1500 at an interest rate of 4% compounded continuously, so we have A = 1500 * e^(0.04*4). Evaluating this expression, we find that Jasmine will have approximately $1657.29 in 4 years.

What is this answer to the question

Answers

Answer:

60

Step-by-step explanation:

What is the equation of the line

Answers

Answer:

I think that the answer is y=(1/2)(2)(3)

Step-by-step explanation:

to find it you use 1/2 BH it worked for your problem too

What is 5 2/3 +2 1/5

Answers

[tex]5 \frac{2}{3} + 2 \frac{1}{5} = 7 \frac{13}{15} [/tex]

Step-by-step explanation:

[tex]5 \frac{2}{3} + 2 \frac{1}{5} \\ = \frac{17}{3} + \frac{11}{5} \\ = \frac{17 \times 5}{3 \times 5} + \frac{11 \times 3}{5 \times 3} \\ = \frac{85}{15} + \frac{33}{15} \\ = \frac{118}{15} \\ = 7 \frac{13}{15} [/tex]

So, the value is 7 13/15

Hope it helpful and useful :)

Answer: The answer is 7 13/15 in fraction

Step-by-step explanation:

does the infinite geometric series diverge or converge? Explain.

1/5 + 1/10 + 1/20 + 1/40

A) it diverges it has a sum

B) it diverges doesn’t have a sum

C) it converges it has a sum

D) it converges doesn’t have a sum

Answers

Answer:

The other guy is correct except for question five.

If your question is "Use summation notation to write the series 2+4+6+8+... for 10 terms. In each of these images, the lower limit of the summation notation is either "n=1" or "n=0".

The answer should be 10∑n=1 (2n) not (n+2)

The correct option is (C) it converges it has a sum.

Infinite Geometric Series:

An infinite geometric series is an infinite series whose successive terms have a common ratio. This is easily proven by using an infinite geometric series. This series would have no last term. The general form of the infinite geometric series is[tex]a + a r + a r^ 2 + a r ^3 +...[/tex]+ ..., where [tex]a[/tex] is the first term and [tex]r[/tex] is the common ratio.

We can find the sum of all finite geometric series.

Given series can be written as;

[tex]\frac{1}{5}+\frac{1}{10}+\frac{1}{20}+\frac{1}{40}+..... \\ a=\frac{1}{5} \\ r=\frac{1}{2} \\ \Rightarrow \frac{a}{1-r}=\frac{1/5}{1-1/2} \\[/tex]

           [tex]=\frac{2}{5}[/tex]

Therefore, [tex]\frac{2}{5}[/tex] is infinite, so it converges.

Learn more about the topic Infinite Geometric Series: https://brainly.com/question/12213123

Find the value of x in the figure

Answers

Answer:

x = 100

Step-by-step explanation:

[tex]57 \degree + (x + 23) \degree = 180 \degree..(straight \: line \: \angle s) \\ (x + 80) \degree = 180 \degree \\ x + 80 = 180 \\ x = 180 - 80 \\ \huge \red{ \boxed{x = 100}}[/tex]

Answer:

x = 100°

Step-by-step explanation:

57° + 23° = 80°

180° - 80° = 100°

look at my previous answer to another person who posted this same question if you want a more detailed version

I need some help with middle school math

Answers

Answer:

1/8

Step-by-step explain i think it;s your answer

Answer:

24

Step-by-step explanation:

Which answer represents the range of the logarithmic function given below? f(x) = log0.3 x

Answers

Domain of the function F(x) = log 0.3 x is :

All Real Numbers greater than zero.

So the right answer is :

D. All real numbers

Answer:All real numbers

Step-by-step explanation:

A

P

E

X

Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
A.
f(x) = (x + 6)(x − 4)
B.
f(x) = (x + 6)(x + 4)
C.
f(x) = (x − 6)(x + 4)
D.
f(x) = (x − 6)(x − 4)

Answers

Answer:

[tex]\huge\boxed{C.\ f(x)=(x-6)(x+4)}[/tex]

Step-by-step explanation:

[tex]\text{If}\ x_1\ \text{and}\ x_2\ \text{are the zeros of quadratic function}\ f(x)=ax^2+bx+c,\\\\\text{then we can convert}\ f(x)\ \text{to the form}\ f(x)=a(x-x_1)(x-x_2).\\\\\text{We have the zeros}\ x_1=6\ \text{and}\ x_2=-4.\\\\\text{Substitute:}\\\\f(x)=a(x-6)(x-(-4))=a(x-6)(x+4)\\\\\text{For}\ a=1\ \text{we have answer}\ C.\ f(x)=(x-6)(x+4)[/tex]

Please help.

v= u + at

u = 3
a = -2
t = 1/4

Work out the value of v.

Answers

v = 2.5 or 5/2

3 + 2 x - 1/4 = 5/2

5/2 = 2.5

Yes I agree with the person above

What do the four yellow tiles in the model of the equation below represent? 3 long x tiles and 4 square 1 tiles = 2 negative 2 tiles –4 4 –4x 4x

Answers

Answer:

The answer to your question would be 4 (positive) because the yellow tiles represent one. Since there are 4 yellow tiles the answer would be 4.

The four yellow tiles in the model of the equation represent 4x.

In the given equation, we have 3 long x tiles and 4 square 1 tiles on the left side of the equation. These represent 3x and 4 respectively.

On the right side of the equation, we have 2 negative 2 tiles. These represent -2 and are shown as negative tiles in the model.

The yellow tiles specifically represent the term 4x, which means we have 4 instances of x.

So, in this equation, the four yellow tiles represent the term 4x, which means we have 4 instances of x.

Evaluate c-2when c=7

Answers

look at the attached picture

Hope it will help u...

Answer:

5

Step-by-step explanation:

Since we know that c is equal to 7, we can substitute 7 in for c in the expression

c-2

Substitute 7 in for c, because c=7

7-2

Subtract

5

what is the area of a regular octagon with apothem 2.5 centimeters?

This is for geometry.

Answers

Mutiply that by the sides

Multiply that by sides and there

CNA SOMEONE EXPLAIN HOW TO SOLVE A VECTOR COMPONENT??

Answers

Answer:

Step-by-step explanation:

when you break a vector into its parts, those parts are called its components. For example, in the vector (4, 1), the x-axis (horizontal) component is 4, and the y-axis (vertical) component is 1. Typically, a physics problem gives you an angle and a magnitude to define a vector; you have to find the components yourself using a little trigonometry.

Suppose you know that a ball is rolling on a flat table at 15 degrees from a direction parallel to the bottom edge at a speed of 7.0 meters/second. You may want to find out how long the ball will take to roll off the edge 1.0 meter to the right.

Define your axes so the ball is at the origin initially and the x-axis is parallel to the bottom edge of the table (refer to the figure). Therefore, the problem breaks down to finding out how long the ball will take to roll 1.0 meter in the x direction. To find the time, you first need to know how fast the ball is moving in the x direction.

The problem tells you that the ball is rolling at a speed of 7.0 meters/second at 15 degrees to the horizontal (along the positive x-axis), which is a vector: 7.0 meters/second at 15 degrees gives you both a magnitude and a direction. What you have here is a velocity — the vector version of speed. The ball’s speed is the magnitude of its velocity vector, and when you include a direction to that speed, you get the velocity vector v.

To find out how fast the ball is traveling toward the table edge, you need not the ball’s total speed but the x component of the ball’s velocity. The x component is a scalar (a number, not a vector), and you write it like this: vx. The y component of the ball’s velocity vector is vy. Therefore, you can say that

v = (vx, vy)

That’s how you express breaking a vector up into its components. So what’s vx here? And for that matter, what’s vy, the y component of the velocity? The vector has a length (7.0 meters/second) and a direction

And you know that the edge of the table is 1.0 meter to the right.

As you can see in the figure, you have to use some trigonometry to resolve this vector into its components. No sweat. The trig is easy after you get down the angles you see in the figure.

The magnitude of a vector v is expressed as v, and from the figure, you can see that the following is true:

The two vector-component equations are worth knowing because you see them a lot in any beginning physics course. Make sure you know how they work, and always have them at your fingertips.

Of course, if you forget these equations, you can always retrieve them from basic trigonometry. You may remember that the sine and cosine of an angle in a right triangle are defined as the ratio of the opposite side and the adjacent side to the hypotenuse, like so:

By multiplying both sides of these equations by v, you can express the x and y components of the vector as

You can go further by relating each side of the triangle to each other side (and if you know that

you can derive all these from the previous two equations as required; no need to memorize all these):

You know that

so you can find the x component of the ball’s velocity, vx, this way:

Plugging in the numbers gives you

You now know that the ball is traveling at 6.8 meters/second to the right. And because you also know that the table’s edge is 1.0 meter away, you can divide distance by speed to get the time:

Because you know how fast the ball is going in the x direction, you now know the answer to the problem: The ball will take 0.15 seconds to fall off the edge of the table. What about the y component of the velocity? That’s easy to find, too:

anyone know this ?! help pls asap

Answers

(-7)² ➡️ 49

(⅔)² ➡️ ⁴/6

- /100 ➡️ -10

/.81 ➡️ .9

What is the measure of RMN?

117

[Not drawn to scale]

27 degrees

63 degrees

117 degrees

163 degrees

Answers

Answer:63

Step-by-step explanation:

Use the graph to identify the independent and the
dependent variable. Check all that apply.
O
The two variables are Eli and 5.
The two variables are meters and seconds.
0 Meters are graphed on the x-axis.
Meters are graphed on the y-axis.
0 Seconds is the independent variable.
0 Seconds is the dependent variable.
I need help

Answers

Answer:

The two variables are meters and seconds.Meters are graphed on the y-axis.Seconds is the independent variable.

Step-by-step explanation:

The problem is about meters and seconds, because the graph shows the relation of the distance and the time used by an object.

It's important to know that the time doesn't depends on anything, that means, it's always an independent variable. And the distance always depends on the time, because depending on the time you are moving, you will cover more distance.

Therefore, the answers are:

The two variables are meters and seconds.Meters are graphed on the y-axis.Seconds is the independent variable.

Answer:

B) The two variables are meters and seconds.

D) Meters are graphed on the y-axis.

E) Seconds is the independent variable.

Step-by-step explanation:

If you were on the moon, your weight would only be 0.17 of your weight on Earth. If you weigh 195.75 pounds on Earth, how much would you weigh on the moon?

Answers

Answer:

32.49

Step-by-step explanation:

The weight of the person on the moon is 33.2775 pounds.

Given that, if you were on the moon, your weight would only be 0.17 of your weight on Earth.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, weight on earth is 195.75 pounds

Now, weight on the moon

= 0.17×195.75

= 33.2775 pounds

Hence, the weight of the person on the moon is 33.2775 pounds.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ5

Which value of x is the solution of: 5x - 1 = 2x + 20?

A) 19/7
B) 19/3
C) 3
D) 4

Answers

Answer:the correct answer is 7

Step-by-step explanation:

Help ASAP Please!!!!
Expand 3d(d+4)

Answers

Answer:

3d^2 + 12d

Step-by-step explanation:

You just have to expand like since there are two d's then is would be squared. Anything outside the () gets multiplied by the whole equation.

Answer:

3d²+12d

Step-by-step explanation:

(3d x d) + (3d x 4)

-5x-3.5 < 6.5
-5x <10
x >2

Answers

Answer:

x=3 ??i think

Step-by-step explanation:

cuz it makes sense like that

sin^2x + sin x = 0
Find all solutions to the equation

Answers

Factor out sin x
Sin x (sinx +1) = 0
Use the zero product property
Sin x=0
Sin x+1 = 0

Solutions
x= 0 degrees
x= 270 or -90 degrees

what does this graph represent....LINEAR FUNCTION, EXPONENTIAL FUNCTION, OR (neither)

Answers

Answer:

LINEAR function  constant slope = 2

Step-by-step explanation:

We see points  (-3, -11),  (-2, -9),  (-1, -7),  (1, -3) , (2, -1)

slope:   m = (-9 - -11)/(-2 - -3) = 2/1

m = (-7 - -9)/(-1 - -2) = 2/1

m = (-3 - - 7)/(1 - -1) = 4/2 = 2

m = (-1 - -3)/(2 - 1) = 2/1 = 2

Help me plzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

V =1236.4 ft^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

The radius is d/2 =15/2 = 7.5

V = 3.14 (7.5)^2 * 7

V = 1236.375

Rounding to the nearest tenth

V =1236.4 ft^3

What is the length of the unknown leg in the right triangle? A right triangle has a side length of 7 millimeters and hypotenuse of StartRoot 85 EndRoot millimeters. The other side is labeled a. 6 mm 8 mm StartRoot 78 EndRoot mm StartRoot 134 EndRoot mm

Answers

Answer:

6mm or A

Step-by-step explanation:

Answer:

its indeed A i got it right :D

Step-by-step explanation:

Which set of numbers may represent the lengths of the sides of a triangle?

A. 4,4,9

B. 8,5,3

C. 5,7,9

D. 1, 3, 4

Answers

Answer:

C

Step-by-step explanation:

If you are good at writing explicit definition (rule) for the nth term of a geometric sequence Please Help!! Show work

Answers

Answer:

  an = (5/16)2^(n -1)

Step-by-step explanation:

The explicit formula for the n-th term of a geometric sequence is ...

  an = a1·r^(n-1)

Filling in the given values, we get two equations in a1 and r:

  a5 = 5 = a1·r^(5 -1)

  a9 = 80 = a1·r(9 -1)

Dividing the second equation by the first gives ...

  80/5 = (a1·r^8)/(a1·r^4)

  16 = r^4

  2 = r . . . . . . . . because we know 2^4 = 16. You could also solve using logarithms

Then we can find a1 from ...

  5 = a1·r^4 = 16·a1

  5/16 = a1

The explicit formula is ...

  an = (5/16)2^(n -1)

__

The above formula matches the form of the equation usually expected. However, we can make the fraction go away by adjusting the exponent:

  an = 5(2^-4)(2^(n-1))

  an = 5·2^(n -5)

Can some one help me please with this questions

Answers

20 x + 15 = 10

20 x = - 5

x = -5/20 = -1/4

Answer: -1/4

5x - 5 = 15

5x = 20

x = 20/5 = 4

Answer: 4

n + 14 = 72

Answer: 14 + n = 72, first choice

Other Questions
Northern purchased the entire business of Southern including all its assets and liabilities for $600,000. Below is information related to the two companies Northern Fair value of assets $1,050,000 $800,000 575,000 Fair value of liabilities 300,000 Reported assets 800,000 650,000 Reported liabilities 500,000 250,000 Net Income for the year 50,000 60,000 How much goodwill did Northern pay for acquiring Southen? A) $300,000. B) $200,000 C) $150,000.D) $100,000 PLZ HELP ASAP 15 POINTS FIRST ANSWER GETS BRAINLEST AND 5 STARS Santos Co. is preparing a cash budget for February. The company has $18,000 cash at the beginning of February and anticipates $66,000 in cash receipts and $116,000 in cash disbursements during February. What amount, if any, must the company borrow during February to maintain a $5,000 cash balance? The company has no loans outstanding on February 1. (Negative cash balances, if any, should be indicated with minus sign.) in the right triangle shown, m of angle G equals 45 and HI equals 7 how long is GH Find and interpret the mean absolute deviation of the data. round your answer to the nearest tenth if necessary.__________| 1 | 5 | 2 | 2 || 2 | 4 | 4 | 0 |__________please let someone know how to answer this!! Mice collected from the Sonoran desert have two phenotypes, dark(D) and light (d). The mice shown below were collected in a trap. Calculate the frequency of individuals that display the recessive trait(dd) What do the 14th Amendment and the Civil Rights Act of 1866 have in common?Question 1 options:They were efforts by Congress to solve economic problems in the South.They were attempts by President Abraham Lincoln to end regional and racial divisions.They were ways Congress sought to guarantee blacks the full rights of citizenship.They were laws President Andrew Johnson supported to punish south slave owners. Jackson is testing different types of planting soil to determine which type is most effective for growing strawberry bushes. He purchases two different brands of planting soil from a local store. Jackson applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial sunlight. He waters the area with brand B daily; he waters the area with brand A every other day. At the end of the study, Jackson concludes brand A is more effective in growing strawberry bushes. Is Jackson's conclusion valid? Explain why or why not. Which of these has the GREATEST impact on the shared powers of government in the United States? A fan is designed to last for a certain time before it will have to be replaced (planned obsolescence). The fan only has one speed (at a maximum of 700 rpm), and it reaches the speed in 4.0 s (starting from rest). It takes the fan 11.0 s for the blade to stop once it is turned off. The manufacturer specifies that the fan will operate up to 1 billion rotations. Andre lives in a hot climate, works outside of the home from approximately 8:00 am to 5:00 pm, Monday through Friday, does not own an air conditioner, and can't sleep with the fan running. Estimate how many hot days ????hot Andre will be able to use the fan, rounded to the nearest day. ????hot= days The isothermal, first-order reaction of gaseous A occurs within the pores of a spherical catalyst pellet. The reactant concentration halfway between the external surface and the center of the pellet is equal to one-fourth the concentration at the external surface. (a) What is the relative concentration of A near the center of the pellet? (b) By what fraction should the pellet diameter be reduced to give an effectiveness factor of 0.77 Subtract the equations. A geochemist in the field takes a sample of water from a rock pool lined with crystals of a certain mineral compound . He notes the temperature of the pool, , and caps the sample carefully. Back in the lab, the geochemist first dilutes the sample with distilled water to . Then he filters it and evaporates all the water under vacuum. Crystals of are left behind. The researcher washes, dries and weighs the crystals. They weigh 3.00 g.a. Using only the information above, can you calculate the solubility of X in water at 26 degrees Celsius.? b. If yes than calculate the solubility of X. Round your answer to 3 significant digits Why would people fight over which religion influenced the government? HELP, I need an answer quick!Thanks in advance for the help Can somebody please help me with this ? How did the compass help with the navigation of the sea The most expensive type of life insurance In which sentence is a plural word used correctly? She measured the two apparatusis separately. He saw the vulture circling several animal carcassas. We want to visit all the college campusus in the town. The club collects antique atlases to display in the library. I NEED HELP PLZ Respiration uses _______________________________.chemical energy in the form of carbohydrates, lipids, or proteins to produce ATP.solar energy in the form of carbohydrates, lipids, or proteins to produce ATP.produced energy in the form of carbohydrates, lipids, or proteins to produce ATP.thermal energy in the form of carbohydrates, lipids, or proteins to produce ATP. Steam Workshop Downloader