larger triangle is made from smaller, similar triangles. The perimeter of this larger triangle is 32 times larger than the perimeter of one of the smaller triangles. How many smaller triangles are used to form this larger triangle?​

Answers

Answer 1

Answer:

1024

Step-by-step explanation:

We can solve this using areas.

The small triangle has a base b and a height h.

The area of the small triangle is bh/2.

The large triangle has a perimeter that is 32 times the perimeter of the small triangle. Perimeters are linear measures, so the linear scale factor from the small triangle to the large triangle is 1:32. That means that the base of the large triangle measures 32b, and the height of the large triangle measures 32h.

The area of the large triangle is

base × height / 2 = (32b)(32h)/2 = 512bh

Now we compare the areas of the the large triangle and the small triangle by division.

512bh / (bh/2) = 512 × 2 = 1024

Answer: 1024


Related Questions

I Need help Really bad

I Need help Really bad

Answers

Answer:

  7776π in³

Step-by-step explanation:

You are given the area of the sphere, so you can use the area formula to find its radius. Then the volume formula can be used to find the volume.

__

radius

The area of the sphere is given by the formula ...

  A = 4πr²

Solving for r, we find ...

  A/(4π) = r²

  √(A/(4π)) = r = √(1296π/(4π)) = √324 = 18

The radius of the sphere is 18 inches.

__

volume

The volume formula is ...

  V = 4/3πr³

Using the found radius, we find the volume to be ...

  V = 4/3π(18 in)³ = 4/3(5832)π in³

  V = 7776π in³

ALGEBRA Farha Gadhia has applied for a $100,000 mortgage loanat an annual interest rate of 6%. The loan is for a period of 30 yearsand will be paid in equal monthly payments that include interest.Use the monthly payment formula to find the payment

Answers

Mortgage loan= P = $100,000

Rate= r = 6% and the rate interest is

\(r=\frac{6}{100}=0.06\)

For a period of 30 years, i.e

\(n=12\times30=360\text{ months}\)

The formula to find monthly mortgage payment is

\(undefined\)

Linda sells cookies for $2 and hamburgers for $3. She sold 25 items and made $60. How many cookies did she sell ?


Answers

Answer:

10 cookies

Step-by-step explanation:

10 x 3 = 30

15 x 2 = 30

30 + 30 = $60

The number of cookies sold by Linda will be 10 cookies.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Linda sells cookies for $2 and hamburgers for $3. She sold 25 items and made $60.

The number of cookies sold by Linda will be calculated as below:-

10 x 3 = 30

15 x 2 = 30

30 + 30 = $60

Therefore, the number of cookies sold by Linda will be 10 cookies.

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What is the equation of the line that passes through the point (5,3) and has a slope of -1/5 ?

Answers

Answer: y=-1/5x+4

Step-by-step explanation: use the equation y=mx+b (x,y)->(5,3) 5 is an x value and 3 is a y value so you want to plug in these values into the equation. 3=-1/5(5)+b. We already know our slope so just plug it into m. Now multiply -1/5 and 5 which is -1. 3=-1+b you want to isolate b so you can find the intercept. Add one to both sides so it cancels out. 4=b we found our y-intercept so we can write the equation now. y=-1/5x+4

A hashing algorithm is a routine that converts a primary key value into a relative record number. T/F

Answers

True. A hashing algorithm is a mathematical routine used to generate a hash value from a primary key value.

A relative record number that may be used to retrieve the required record in a data structure is created using this hash value.

In order to facilitate quick access to the data, the hashing algorithm makes sure that the same hash value is generated for every primary key. How quickly the requested record can be found depends on how effective the hashing method is.

Also, it must be safe enough to prevent two main key values from producing the same hash value, as doing so might result in accessing the wrong records.

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can someone please show the steps

can someone please show the steps

Answers

The measure of angle BDC is 39°

What is circle geometry?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

The line passing through the centre and joining two part of the circumference is the diameter and the half of a diameter is the radius.

There is a theorem in circle geometry that states that angles in the same segment are equal.

Therefore;

angle BCD = angle BDC

Therefore 102 +2x = 180

2x = 180-102

2x = 78

divide both sides by 2

x = 78/2

= 39°

Therefore the measure of angle BDC is 39°

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Amanda buys 4 tickets to the baseball game for $24 each. Which equation

shows the closest estimate of the total amount Amanda spends?

Which equation shows the closest estimate of the total amount Amanda spends

Answers

Answer:

$96

Step-by-step explanation:

Given that,

The total number of tickets = 4

Cost of each baseball = $24

We need to find the equation that shows the closest estimate of the total amount Amanda spends.

Total cost = No. of tickets × Cost of each baseball

= 4×24

= $96

Hence, the total cost is $96.

Explain whether each following example is proportional or non-proportional. Please state whether it is
proportional or non-proportional AND explain how you know. You will not get full credit for correct answers
without an explanation.
 Is this equation proportional or non-proportional? How do you know? y  7x  3
 Is the graph below proportional or non-proportional? How do you know?
 Is this situation proportional or non-proportional? How do you know? A gallon of milk costs $1.99. A
half-gallon of milk costs $3.89.
 Is the data in the table below proportional or non-proportional? How do you know?
x y
2 13
3 19.5
4 26
5 32.5

Answers

Answer: This is non-proportional A half-gallon of milk should cost less than a gallon of milk, and either way, it is non-proportional

Step-by-step explanation:

And Please Give Yo Boy Brainlest MHM  I KNOW IM RIGHT

WILL GIVE BRAINIEST FOR CORRECT ANSWER

WILL GIVE BRAINIEST FOR CORRECT ANSWER

Answers

Answer:

1) 113.1

Step-by-step explanation:

6 x 6 = 36 x Pi(3.14)

Answer:

2) 49.135

Step-by-step explanation:

The area of the triangle is 24. The area of the "half circle" is 25.1.

Add them together, and get 49.135.

Hope this Helps!

-kiniwih426

you are at the top of a 200 foot tall building. a rope, which weighs 3 pounds per 20 feet of rope, dangles from the roof of the building. the lower end of the rope just touches the ground 200 feet below. how much work does it take to pull the rope up to the top of the building?

Answers

To calculate the work required to pull the rope up to the top of the building, we need to first find the total weight of the rope.

The rope weighs 3 pounds per 20 feet, so for 200 feet, it weighs:
(3 pounds / 20 feet) x 200 feet = 30 pounds
Therefore, the total weight of the rope is 30 pounds.
To lift the rope up to the top of the building, we need to overcome the force of gravity acting on the rope. The force of gravity is equal to the weight of the rope, which is 30 pounds.
To calculate the work required, we can use the formula:
Work = Force x Distance
In this case, the force is 30 pounds and the distance is 200 feet (the height of the building).
So,
Work = 30 pounds x 200 feet = 6,000 foot-pounds
Therefore, it takes 6,000 foot-pounds of work to pull the rope up to the top of the building.

You are at the top of a 200-foot tall building, and a rope that weighs 3 pounds per 20 feet dangles from the roof, with the lower end touching the ground. We need to find how much work it takes to pull the rope up to the top of the building.
First, let's determine the weight of the entire rope:
Since the rope weighs 3 pounds per 20 feet, we need to find out how many 20-foot sections are in a 200-foot rope.
200 feet / 20 feet = 10 sections
Now, multiply the number of sections by the weight per section:
10 sections * 3 pounds = 30 pounds (total weight of the rope)
Next, we need to calculate the work required to pull the rope up. Work (W) is defined as force (F) multiplied by distance (d):
W = F * d
In this case, the force required is equal to the weight of the rope (30 pounds) and the distance is the height of the building (200 feet):
W = 30 pounds * 200 feet = 6,000 foot-pounds
So, it takes 6,000 foot-pounds of work to pull the rope up to the top of the 200-foot tall building.

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need this answer---i hate geometry so much

need this answer---i hate geometry so much

Answers

TX IS THE OVERALL MAGNITUDE OF THE LINE

TX IS THE OVERALL MAGNITUDE OF THE LINE WHICH IS MADE BY TW+WX

MATHEMATICALLY

TX=TW+WX

\((5x - 9) = (3x + 5) + 10 \\ 5x - 9 = 3x + 5 + 10 \\ 5x - 3x = 5 + 10 + 9 \\ 2x =24 \\ \frac{2x}{2} = \frac{24}{2} \\ x = 12\)

HOPE THIS HELPS!!!

PLEASE DO NOT HATE MATHS I'M HERE FOR YOU TO MAKE SURE YOU ENJOY IT.

HELP I DONT GET THIS AND ITS DUE IN AN HOUR! PLEASE SHOW YOUR WORK IN PART B BECAUSE I DONT KNOW WHAT TO DO! I’LL GIVE BRAINLIEST AND 20 POINTS!!

Last year’s winner set a school record by completing 37 sit-ups. Amelia wants to know how many weeks she will need to train to beat this record.

Part A

Why is Amelia’s goal of breaking the school record best described by an inequality? Explain.

Part B

Write the inequality and graph the solution. How many weeks of training
will it take for Amelia to beat the record? Show your work.

Answers

An inequality is used to show two values that are different and to show that the two values are unequal.

What is an Inequality?

This refers to the mathematical relation that is used to show the comparison between two numbers that are unequal.

We can note that because there is a previous record, for a person to beat the record, he would have to perform better than the record and be faster than the previous record holder.

Therefore, if a record of Amelia was given, this would be used to find the relation between her record and the current record of 37 sit-ups and how many weeks of training would be needed to break the record.

Hence, we can see that the question is incomplete so I gave you a general overview to help you get a better understanding.

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Express this sum S as a simple fraction: S=1−1/2​+1/4​−1/8​+⋯+11024​. Answer: S=

Answers

The sum of given geometric series S is 2/3.

The given sum is S=1-1/2+1/4-1/8+.......+1/1024.

The geometric series is 1, -1/2, 1/4, -1/8,.....

So, sum of infinite terms of a G.P is a/(1-r) where a is first term =1

r is common difference = -1/2 =-0.5

So, the sum is 1-1/2+1/4-1/8+..... = 1/(1-(-1/2)

= 2/(2+1)

= 2/3

Therefore, the sum of given geometric series S is 2/3.

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I WILL GIVE YOU BRAINLIEST PLS HURRY.A circular cookie cake is 153.86 square inches. What is the diameter of the cookie cake? Approximate using π = 3.14.

49 inches
28 inches
14 inches
7 inches

Answers

Answer:

14 inches

Step-by-step explanation:

area of a circle = \(\pi r^{2}\)

We know the area = 153.86

So substitute and solve for radius.

153.86 = (3.14) * \(r^{2}\)

153.86/3.14 = \(r^{2}\)

49 = r^2

take square root of both sides

7 = r

The diameter is double the radius. Diameter = 2r

So 2 * r = 2 * 7 = 14 inches

Jim and Mary are both from Berkeley and are the exact same age. Jim travels at a velocity of 65 miles per hour to Los Angeles and waits there. Mary drives the next day at 70 mph. When she gets to Los Angeles, who is older

Answers

Jim and Mary, both from Berkeley and of the same age, take separate trips to Los Angeles. Jim travels at a velocity of 65 miles per hour and reaches his destination, where he waits for Mary. The next day, Mary begins her journey, driving at a faster velocity of 70 miles per hour.

Upon arriving in Los Angeles, both Jim and Mary are still the same age. This is because age is a function of time, and both individuals have aged the same amount of time since the start of their journeys. While their respective velocities and travel times may differ, their ages remain equal as they are both progressing through time at the same rate.

In conclusion, Jim and Mary will be the exact same age when they meet in Los Angeles, regardless of their differing travel velocities. The difference in speed does not affect their aging process, as time progresses at the same rate for both of them.

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Please help me with this

Please help me with this

Answers

Answer:

1850is the correct answer

1850:) hope this helps

Which function decreases faster?
a the table
b the graph
c the functions decrease at the same time
I’ll give brainlest!!!

Which function decreases faster?a the tableb the graphc the functions decrease at the same time Ill give

Answers

Answer:

the answer is b B decreases the fastest can I get the brainliest answer

TRUE OR FALSE: The alternative hypothesis states that there is no difference/no effect.

Answers

The answer is FALSE. The alternative hypothesis is a statement that there is a difference or an effect in the population being studied, and it contradicts the null hypothesis, which is a statement that there is no difference or no effect in the population being studied.

The alternative hypothesis is a statement that contradicts the null hypothesis and is generally the hypothesis that the researcher wants to support. It is a statement that there is a difference or an effect in the population being studied.

In hypothesis testing, the null hypothesis is a statement that there is no difference or no effect in the population being studied. The null hypothesis is typically the default hypothesis, which is assumed to be true unless evidence suggests otherwise. The alternative hypothesis, on the other hand, is a statement that there is a difference or an effect in the population being studied, and it is typically the hypothesis that the researcher wants to support.

For example, if a researcher wants to test the effectiveness of a new drug, the null hypothesis might be that the drug has no effect on the condition being treated, while the alternative hypothesis might be that the drug has a positive effect on the condition being treated.

In summary, the alternative hypothesis is a statement that there is a difference or an effect in the population being studied, and it contradicts the null hypothesis, which is a statement that there is no difference or no effect in the population being studied.

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Where can you put parentheses so that the answer is correct? 5 • 4 - 1+6=13

Answers

Answer:

You can put 1 + 6 into parentheses to make the answer correct.

Step-by-step explanation:

5 × 4 - (1 + 6) = 13

5 × 4 - (7) = 13

20 - (7) = 13

13 = 13

Answer:

5 • 4 - (1+6)=13

Step-by-step explanation:

5 • 4 - 1+6=13

Add parentheses to make this true

5 • 4 - (1+6)=13

Using PEMDAS

Parentheses first

5 • 4 - 7=13

Then multiply

20-7 =13

Then subtract

13=13

Find x. I need it ASAP

Find x. I need it ASAP

Answers

Answer:

x = 27°

Step-by-step explanation:

Because of the two parallel lines, we can conclude that

corner DAB = corner FDE = 2x

In ∆DAB

Corner DAB = 2x

Corner BDA = 2x (given)

Corner ABD = 72 (given)

The sum of three corners in any trianle, adds up to 180°.

So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.

For each corner that is 108/2= 54

so corner BDA = 54° and also corner DAB = 54°.

Given was BDA = 2x and BDA = 54°

so 2x = 54°

then x = 27°

Consider this triangle. ​

Consider this triangle.

Answers

use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Solve the system of equations by substitution. y=4x-13 2x+3y=17

Answers

Answer:

(4,3)

Step-by-step explanation:

y=4x-13

2x+3y=17

Use the 1st equation in the second by substituting for y:

2x+3y=17

2x+3(4x-13)=17    [From y = 4x-13]

14x - 39 = 17

14x = 56

x = 4

Use x = 4 in either equation to find y:

y=4x-13

y=4*(4)-13

y = 16 - 13

y = 3

(4,3)

See attachment.

Solve the system of equations by substitution. y=4x-13 2x+3y=17

A radial load of 9 kN acts for five revolutions and reduces to 4,5 kN for ten revolutions. The load variation then repeats itself. What is the mean cubic load? [6,72 kN]

Answers

The cube of the load acting on each revolution is 4.5 × 4.5 × 4.5

= 91.125 kN³

The mean cubic load is calculated by taking the average of the cube of the load acting on each revolution over one complete cycle.

= [ (9 × 9 × 9) + (4.5 × 4.5 × 4.5) ] / 15

= (729 + 91.125) / 15

= 48.875 kN³

The mean cubic load is 48.875 kN³, which is approximately 6.72 kN (cube root of 48.875).

The mean cubic load is 6.72 kN.

The given radial load acting on a rotating body is a repeating cycle.

For the first 5 revolutions, the radial load is 9 kN and for the next 10 revolutions, it is reduced to 4.5 kN.

The load variation repeats itself over and over.

The mean cubic load is the average of the cube of the load acting on a rotating body over one complete cycle.

To calculate the mean cubic load, we first need to calculate the load acting on each revolution of the cycle, and then calculate the cube of the load acting on each revolution.

Finally, we take the average of the cube of the load acting on each revolution over one complete cycle.

Load acting for the first 5 revolutions = 9 kN

Load acting for the next 10 revolutions = 4.5 kN

The entire cycle consists of 15 revolutions.

The load acting on each revolution in the first 5 revolutions is 9 kN. Therefore, the cube of the load acting on each revolution is

9 × 9 × 9 = 729 kN³

The load acting on each revolution in the next 10 revolutions is 4.5 kN. Therefore, the cube of the load acting on each revolution is 4.5 × 4.5 × 4.5 = 91.125 kN³

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mia hired a moving company, it charged 500$ for service mia give them a 16% tip.How much did she tip the movers,

Answers

Answer: 80 dollars

Step-by-step explanation:

You can find a percentage with one of two ways.

For hundreds like this, oftentimes it's quicker and more simple to think of it as just 100. The proportion from 100 to 500 is just 5.  16% of 100 is 16. So, multiply 16 * 5. You would get 80.

The second method is you can use 0.16 * 500. It's the more conventional method, and you get 80, like the last method.

Please Help!!!!!!!

Simplify
g(5c+4)= (5c+4)^2+8(5c+4)-24

Please show all your work!!

Answers

Answer:

STEP n1:

Equation at the end of step 1

 (g•(5c+4))-((((5c+4)2)+8•(5c+4))-2)  = 0

STEP 2:

Equation at the end of step 2

 g • (5c + 4) -  (25c2 + 80c + 46)  = 0

STEP 3:

Equation at the end of step 3

 5gc + 4g - 25c2 - 80c - 46  = 0

STEP 4:

Solving a Single Variable Equation

4.1     Solve   5gc+4g-25c2-80c-46  = 0

Answer:  (5c+4)^2+40c+8 over 5c+4

Step-by-step explanation:

What are the x and y intercepts for 3x-6y=-48

Answers

Answer:

x- intercept = - 16, y- intercept = 8

Step-by-step explanation:

Given

3x - 6y = - 48

To find the x- intercept, let y = 0 in the equation and solve for x

3x - 6(0) = - 48 , that is

3x - 0 = - 48 ( divide both sides by 3 )

x = - 16 ← x- intercept or (- 16, 0 )

To find the y- intercept, let x = 0 in the equation and solve for y

3(0) - 6y = - 48 , that is

0 - 6y = - 48 ( divide both sides by - 6 )

y = 8 ← y- intercept or (0, 8 )

In January a baby elephant weighs 180kg. By March the weight of the baby elephant had increased by ⅜. Work out the weight of the baby elephant in March

Answers

The weight of th baby elephant in the month of March would be 247.5 Kg.

What is weight?

Weight of a body is the force exerted by the earth on the body on the surface of the earth towards its center.

Given is that in January a baby elephant weighs 180kg. By March the weight of the baby elephant had increased by ⅜.

Assume the weight of the baby elephant in March would be {x} Kg. We can write -

{x} = 180 + 3/8 of 180

{x} = 180 + 3/8 x 180

{x} = 180 + 67.5

{x} = 247.5 Kg

Therefore, the weight of th baby elephant in the month of March would be 247.5 Kg.

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Given that tan 0 = and O is in quadrant III,

find cos 20.

Answers

cos 20 cannot be determined given the information provided. it value is undefined.

First, we need to find the value of sin 0 since we know that tan 0 = sin 0 / cos 0. We can use the Pythagorean identity to find sin 0:
sin^2 0 + cos^2 0 = 1
Rearranging, we get:
sin^2 0 = 1 - cos^2 0
Taking the square root of both sides, we get:
sin 0 = -√(1 - cos^2 0)
Since O is in quadrant III, we know that cos 0 is negative. Therefore, we can write:
tan 0 = sin 0 / cos 0 = (-√(1 - cos^2 0)) / (-cos 0)
Simplifying, we get:
tan 0 = √(1 - cos^2 0) / cos 0
Cross-multiplying, we get:
cos 0 tan 0 = √(1 - cos^2 0)
Squaring both sides, we get:
(cos 0 tan 0)^2 = 1 - cos^2 0
Expanding the left side, we get:
cos^2 0 tan^2 0 = 1 - cos^2 0

Rearranging, we get:
cos^2 0 (tan^2 0 + 1) = 1
Dividing both sides by tan^2 0 + 1, we get:
cos^2 0 = 1 / (tan^2 0 + 1)
Substituting the given value of tan 0, we get
cos^2 0 = 1 / (-1^2 + 1) = 1 / 0 = undefined

 

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find the error javier claimed that all cubic functions are odd. is he correct? if not, provide a counterexample.

Answers

Answer:

The cubic function f(x) = x3 is symmetric about the origin (it is an odd function). Here are some types of functions that are odd: Lines Through The Origin – any line with a zero y intercept (b = 0) and a nonzero slope (m not zero) will have equation f(x) = mx.

Step-by-step explanation:

Answer: No

f(x) = x³ + 2x − 5

Step-by-step explanation:

No

f(x) = x³ + 2x − 5

In the star below, all of the inscribed angles are congruent. Find the measure of each inscribed angle.

In the star below, all of the inscribed angles are congruent. Find the measure of each inscribed angle.

Answers

Answer:

36 degrees for each angle.

Step-by-step explanation:

If you divide 180 by 5 (for each point in the star) you get 36 degrees.

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