Figure 1 and figure 2 are right triangles.

two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 4 units long

What scale factor was used to produce Figure 2 from Figure 1?

3
4
3 over 4
4 over 3

Answers

Answer 1

Answer:

4/3

Step-by-step explanation:

To find the scale factor from figure 1 to figure 2, divide a length in figure 2 by its corresponding length in figure 1.

Both legs of figure 1 measure 3 units.

Both legs of figure 2 measure 4 units.

Each leg measuring 3 units corresponds to a leg measuring 4.

scale factor = (length in figure 2)/(corresponding length in figure 1)

scale factor = 4/3

Check:

The way a scale factor works is that when you multiply a length in figure 1 by the scale factor, you get the corresponding length in figure 2.

figure 1 length: 3

scale factor: 4/3

product: 3 × 4/3 = 12/3 = 4

Yes, we do the correct length in figure 2, so our scale factor of 4/3 is correct.


Related Questions

In a community garden shown to the right you have at most 44ft

Answers

what’s the equation

Geometry, i think my answer is wrong

Geometry, i think my answer is wrong

Answers

Answer:

23°

Step-by-step explanation:

mABD is just the angle of B

9x-22 = 6x -7

3x -22 = -7

3x = 15

x = 5

9(5) -22

45-22

23

If x is divided by 2 and then 4 is subtracted, then the function is f left parenthesis x right parenthesis equals x divided by 2 minus 4. What are the steps to find the inverse to this function

Answers

The inverse is y = x/2 - 4

Steps involved are -

replace f(x) with y:   y = 2(x + 4)Then switch y and x:   x = 2(y + 4)Finally make y the subject:x = 2(y + 4)x/2 = y + 4      (divide by 2)x/2 - 4 = y       (subtract 4)So, the inverse is y = x/2 - 4

What is the formula for inverse function?In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective.f-1(y) = y/2 = x, is the inverse of f(x).

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What is the correct height of the triangle ??

What is the correct height of the triangle ??

Answers

Answer:

9 units

Step-by-step explanation:

The dotted line, which is the height, is labeled as 9, so it is 9 units.

Hope that helps!

Answer: 9 units

Step-by-step explanation: If you look at the question on the photo you see a dotted line with a 9 on it. On a triangle when you something like that you know it the actual height of the triangle

7- y + 5y = 9
Two step equation.

Answers

Answer:

y=1/2

Step-by-step explanation:

7- y + 5y = 9

7+4y=9

4y=2

y=2/4

y=1/2

if you have any questions about how to solve it let me know

Find the solution of the differential equation that satisfies the given initial condition. 5. (ex + y)dx + (2 + x + yey)dy = 0, y(0) = 1 6. (x + y)2dx + (2xy + x2 – 1)dy = 0, y(1) = 1

Answers

5. The solution to the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with y(0) = 1 is y = 2e^(-x) – x – 1. 6. The solution to the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with y(1) = 1 is y = x – 1.

5. To solve the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with the initial condition y(0) = 1, we can use the method of exact differential equations. By identifying the integrating factor as e^(∫dy/(2+yey)), we can rewrite the equation as an exact differential. Solving the resulting equation yields the solution y = 2e^(-x) – x – 1.
To solve the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with the initial condition y(1) = 1, we can use the method of separable variables. Rearranging the equation and integrating both sides with respect to x and y, we obtain the solution y = x – 1.
These solutions satisfy their respective initial conditions and represent the family of curves that satisfy the given differential equations.

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15t +95 + 5 - 9
i need help asap

Answers

95+5=100-9=91+15t then make 15t into 15 * t +91 add the non variables 15+91= 106*t=106t

PLS PLS PLS HELP THIS IS AN ALGEBRA 2 QUESTION

PLS PLS PLS HELP THIS IS AN ALGEBRA 2 QUESTION

Answers

Answer:

look

Step-by-step explanation:

When she simplified her radical she put 5x*2x and 12 squared

what she should ahve done is 5x*4x^2 square 3x

find the area of the parallelogram with vertices a(−3, 0), b(−1, 6), c(8, 5), and d(6, −1).

Answers

Applying the area of the parallelogram formula, it can be concluded that the area is 56 square units.

The area of the parallelogram is the magnitude of the cross-product of the adjacent edges (base and height).

Given information:

A parallelogram is made up of 4 vertices: A(−3, 0), B(−1, 6), C(8, 5), and D(6, −1).

So first we find the adjacent edges as follows:

AB = B - A

     = ( (-1-(-3)) , (6-0) )

     = (2,6)

AD = D - A

     = ((6-(-3)) , (-1-0))

     = (9,-1)

We want to find the area of the parallelogram, we do the following step:

\(AB x AD = \left[\begin{array}{ccc}i&j&k\\2&6&0\\9&-1&0\end{array}\right]\)

               = i(0 - 0) + j(0 - 0) + k(-2 - 54)

               = -56k

The area of the parallelogram = | AB x AD |

                                                  = √(-56)²

                                                  = 56 square unit

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suppose total cholesterol values for a certain population are normally distributed with a mean of 200 mg/dl and a standard deviation of 20 mg/dl. what is the probability that a patient has total cholesterol between 180 and 190? round your answer to 4 decimal places.

Answers

0.5328 is the probability that a patient has total cholesterol between 180 and 190

We have, Mean value, μ = 200 mg/dl

Standard deviation, σ = 20 mg/dl

Let X be the random variable that represents the total cholesterol levels in the population, then the distribution of X is given as follows:

X ~ N(μ, σ^2)Here, X ~ N(200, 20^2)

Now, the probability that a patient has total cholesterol levels between 180 and 190 i.e.,P(180 < X < 190)

Using the Z-score standardization formula,

Z = (X - μ) / σ

Z-score for X = 180,

Z₁ = (180 - 200) / 20 ⇒ -1

Z-score for X = 190,

Z₂ = (190 - 200) / 20 ⇒ -0.5

Therefore, P(180 < X < 190) = P(-1 < Z < -0.5)

Now, we can use a standard normal distribution table to find this probability:

P(-1 < Z < -0.5) = Φ(-0.5) - Φ(-1) ⇒ 0.6915 - 0.1587 = 0.5328 (rounded to 4 decimal places)

Therefore, the probability that a patient has total cholesterol levels between 180 and 190 is 0.5328 (rounded to 4 decimal places).

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If the systolic pressures of two patients differ by millimeters, by how much would you predict their diastolic pressures to differ? Round the answer to three decimal places

Answers

Answer:

convert each fraction to a mixed number

Ma Lee swims for 4 weeks. Each week she swims for 6.3 hours. How many hours does Ma Lee swim in 4 weeks? *

Answers

Answer:

13.2

Step-by-step explanation:

multiply 6.3×4

she swims 6.3 hours per week for 4 weeks. to find the answer you just need to multiply then together

Answer: Ma Lee swims for (4x6.3) which equals 25.2

Step-by-step explanation:

If you write them stacked on top of each other like this

6.3

6.3

6.3

6.3

when you add up the tenths place first you get 12 so regroup the 1 over to the ones place and put 2. Next add up 6's 6x4 equals 24 but dont forget the regrouped 1. Add 24+1=25. So altogether your answer is 25.2.

What is the common ratio in this sequence? 2, 10, 50, 250, 1250, ...​

Answers

Answer: The common ratio is 5 because each time, you multiply the previous number by 5 to get the next number.

Step-by-step explanation:

What number should be added to both sides of the equation to complete the square?
x2 + 3x = 6
12 / 2
0
Nw
3
62

Answers

Answer:

we have added 9/4 to both sides of the equation.

Step-by-step explanation:

The given equation is :

\(x^2+3x=6\)

Here, a = 1, b = 3 and c = 6

We should add (b/2)^2 to the both sides of the equation.

(b/2)^2 = (3/2)^2 = (9/4)

\(x^2+3x+\dfrac{9}{4}=6+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{33}{4}\\\\x+\dfrac{3}{2}=\pm \dfrac{\sqrt{33}}{2}\\\\x= +\dfrac{\sqrt{33}}{2}-\dfrac{3}{2}, -\dfrac{\sqrt{33}}{2}-\dfrac{3}{2}\\\\=1.37,-4.37\)

Hence, we have added 9/4 to both sides of the equation.

sorry to bother but can you help me with my math 31 - (-17) =?

Answers

Answer:

48

Step-by-step explanation:

31 - (-17)

31 + 17 = 48

-TheUnknownScientist

Problem HL 13.2-6 132-6. For each of the following functions, show whether it is convex, concave, Or neither: (a) f (x) = 10x -x2 (6) f (x)=x'+6x2+12x (c) f(x)=2x-3x2 ()f(x)=x+x (e) f (x)=x+x4

Answers

(a) f(x) = 10x - x^2 is concave

(b) f(x) = x' + 6x^2 + 12x is convex

(c) f(x) = 2x - 3x^2 is concave

(d) f(x) = x + x is neither convex nor concave

(e) f(x) = x + x^4 is convex

Find out the solution of this equation?

(a) The function f(x) = 10x - x^2 is concave. To show this, we take the second derivative of f(x) which is -2, which is negative for all x. Since the second derivative is negative for all x, the function is concave.

(b) The function f(x) = x' + 6x^2 + 12x is convex. To show this, we take the second derivative of f(x) which is 12x + 2, which is positive for all x. Since the second derivative is positive for all x, the function is convex.

(c) The function f(x) = 2x - 3x^2 is concave. To show this, we take the second derivative of f(x) which is -6, which is negative for all x. Since the second derivative is negative for all x, the function is concave.

(d) The function f(x) = x + x is neither convex nor concave. To show this, we take the second derivative of f(x) which is 0, which is neither positive nor negative. Since the second derivative is neither positive nor negative, the function is neither convex nor concave.

(e) The function f(x) = x + x^4 is convex. To show this, we take the second derivative of f(x) which is 12x^2, which is positive for all x except 0. Since the second derivative is positive for all x except 0, the function is convex.

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What is the value of the expression 1 2 3 4 5?

Answers

The value of the given and completed expression in this problem is

-1

What are combined operations?

Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.

In this case we have an arithmetic polynomial.

We complete the expression as follows:

1 + 2 - 3 + 4 - 5

We group the positive terms on one side and negative terms on the other:

(1 + 2 + 4) - (3 + 5)7 - (8)-1

The value of the expression (1 + 2 - 3 + 4 - 5) is -1

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Identify a pattern and find the next number in the pattern.

-5, 1, 7, 13

Answers

Answer:

19

Step-by-step explanation:

The pattern is that it +6 every number.

-5 + 6 = 1

1 + 6 = 7

7 + 6 = 13

So the next number is 13 + 6 = 19.

EDIT - I can't add sorry.

Answer:

Step-by-step explanation:

This is an arithmetic sequence.

-5, 1 , 7 , 13 ,.....

First term = a = -5

Common difference =  d = second term - first term

                                   = 1 - [-5] = 1 + 5

                                  = 6

Next term = previous term + d

                 = 13 + 6 = 19

nth term = a +(n-1)*d

              = -5 + (n-1)*6

              = -5 + 6n - 6  {add like terms}

              = -5 - 6 + 6n

             = -11 + 6n

Pattern: 6n -11

two adjacent angles that are supplementary whose non-common sides are opposite rays.

Answers

Two adjacent angles that are supplementary whose non common sides are opposite rays are linear pairs.

Given :

two adjacent angles that are supplementary whose non-common sides are opposite rays.

What are linear pair of angles ?

The linear pair of an angle sums up to 180 degrees .

A linear pair is two adjacent angles whose non-common sides form opposite rays .

The two angles m∠1 and m∠2 hence form a linear pair .

Hence we can conclude that two adjacent angles whose non common sides are opposite rays are linear pairs.

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There is a line that includes the point (6,–10) and has a slope of –9. What is its equation in point-slope form?

Answers

Answer:

A slope of zero means a horizontal line (parallel to the x axis). So the line is y=-6, which is the y intercept. There is no x term because y=-6 for all x.

Step-by-step explanation:

Answer: y + 10 = -9(x - 6)

Step-by-step explanation:

Use this formula to solve for point-slope form: y - y1 = m(x - x1)

m would be the slope and the given slope is -9

y1 refers to the given y coordinate and x1 refers to the given x coordinate.

y + 10 = -9(x - 6)

If data for the topics below were collected and displayed in a frequency table, which topic would most likely need to be shown in intervals?heights of treeseye colorfavorite foodfoot length of newborn babies

Answers

Given

frequency table

Find

which topic would most likely need to be shown in intervals?

Explanation

as trees varies a lot , so it must be in interval.

and all other options does not vary that much.

so , the height of trees most likely need to be shown in intervals.

Final Answer

Therefore, the correct option is Height of Trees

(urgent please help!!!!)in computing the mean of 8 numbers, a student mistakenly used 17 instead of 25 as one of the numbers and obtained 20 as the mean. find the correct mean.

Answers

i believe the correct mean is 21!

Answer: 21

Step-by-step explanation:

The student's mean of the 8 numbers is 20; the total of the numbers will be

8 x 20 = 160

If we take out the 17 the  total will be 160 - 17 = 143

If we then replace the 17 with 25 the total rises to 168.

168 divided by 8 = 21

find the maximum and minimum values of the function f(x,y,z)=3x-y-3z subject to the constraints and . maximum value is , occuring at ( , , ). minimum value is , occuring at ( , , ).

Answers

The maximum and minimum values of the function cannot be determined as it is. Therefore, the answer is not possible.

Let's find the maximum and minimum values of the function f(x,y,z)=3x-y-3z subject to the constraints:

Since the constraint is 0, then we can assume that:

Thus the constraint reduces to x+y = 4 and z = 2-2yThe function becomes

f(x,y,z)=3x-y-3z = 3x-y-3(2-2y) = 3x-7y+6

The objective is to find the minimum and maximum values of this function. We can use partial derivatives of f with respect to x and y.

∂f/∂x = 3, ∂f/∂y = -7

Since the partial derivative of f with respect to z is not included in the objective function, we need not bother about it. At a maximum or minimum value, the partial derivatives are zero.

Therefore, we can conclude that there is no maximum or minimum value of f(x,y,z).

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what is the meaning of
absolute value​

Answers

Answer:

Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.

Step-by-step explanation:

The magnitude of a real number without regard to its sign.
Example: a positive 3 is 3 and a negative (-3) is also a 3

What value(s) of x will make x²=81 true?​

Answers

Answer: 9,-9

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

9x9=81

what is the volume of the right circular cylinder with a diameter of 10 meters and a height of 16 meters. leave the answer in terms of pi.

Answers

if it has a diameter of 10, that means its radius is half that or 5.

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=16 \end{cases}\implies V=\pi (5)^2(16)\implies V=400\pi\)

Answer: The answer is A, 400π m3

Step-by-step explanation:

From the table below, determine whether the data shows an exponential function. Explain why or why not.
Х
3 6 9 12
у 1 2 4 8
a. No; the domain values are at regular intervals.
b. No; a different value is added to each range value.
C. No; there is no relationship between the x value and its corresponding y value.
d. Yes; the domain values are at regular intervals and the range values have a common factor
2.
Please select the best answer from the choices provided
А

Answers

Answer:

C. no; there is no relationship between the x value and its corresponding y value

Step-by-step explanation:

Sana nakatulong

The required, option D correctly identifies that the domain values are at regular intervals and the range values have a common factor, which is consistent with an exponential function.

What is an exponential function?

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
To determine whether the data shows an exponential function, we need to check whether there is a constant ratio between successive y-values for a constant change in the x-value.

Looking at the table, we can see that:

When x increases by 3 units (from 3 to 6), y doubles (from 1 to 2).

When x increases by another 3 units (from 6 to 9), y doubles again (from 2 to 4).

When x increases by another 3 units (from 9 to 12), y doubles once more (from 4 to 8).

Therefore, there is a constant ratio of 2 between successive y-values for a constant change in the x-value of 3. This means that the data does show an exponential function.

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The volume of a cylindrical container is 314 cubic centimeters. The height of the container is 4 centimeters. Find the radius of the container. Round your answer to the nearest whole number.

Answers

Therefore, the radius of the container is approximately 5 centimeters.

What is volume?

Volume is a measure of the amount of space that a substance or object occupies in three-dimensional space. It is commonly expressed in units of cubic meters (m³) or cubic centimeters (cm³), although other units, such as liters (L) and gallons (gal), are also frequently used. The volume of an object or substance can be calculated by measuring its length, width, and height and multiplying these dimensions together. In some cases, volume can also be determined by displacement, as in the case of measuring the volume of a liquid by the amount of space it displaces when poured into a container.

by the question.

The volume of a cylindrical container is given by the formula:

V = πr²h

where V is the volume, r is the radius, and h is the height.

We are given that the volume is 314 cubic centimeters, and the height is 4 centimeters. Substituting these values into the formula, we get:

314 = πr² (4)

Simplifying, we get:

78.5 = πr²

Dividing both sides by π, we get:

r² ≈ 25

Taking the square root of both sides, we get:

r ≈ 5

Rounding this to the nearest whole number, we get:

r = 5

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random variable with parameter 20 . smith has a used car that he claims has been driven only 10,000 miles. if jones purchases the car, what is the probability that she would get at least 20,000 additional miles out of it?

Answers

With proper conclusion, we can say that the probability that Jones would get at least 20,000 additional miles out of the car is very low, almost negligible.

To find the probability that Jones would get at least 20,000 additional miles out of the car, we need to consider the distribution of the random variable.

In this case, the random variable represents the additional miles Jones would get out of the car, given that Smith claims it has been driven only 10,000 miles.
Given that the parameter is 20, we can assume that the random variable follows a Poisson distribution with parameter λ = 20.

The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space.

To find the probability that Jones would get at least 20,000 additional miles out of the car, we can use the cumulative distribution function (CDF) of the Poisson distribution. The CDF gives the probability that the random variable is less than or equal to a certain value. In this case, we want to find the probability that the random variable is greater than or equal to 20,000.

Using the Poisson CDF, we can calculate this probability. However, since the parameter is 20, the probability of getting at least 20,000 additional miles out of the car would be extremely low. It would be close to zero.

Therefore, with proper conclusion, we can say that the probability that Jones would get at least 20,000 additional miles out of the car is very low, almost negligible.

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please please help i need a better grade

please please help i need a better grade

Answers

Answer:

The first one is (-3,2)

The second one is (3,4)

The third one is (1,-1)

The last one is (-4,-4)

I HOPE THIS BRINGS UP YOUR GRADE! :)

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