1, 3 solve find each vault of measure. assume all segments that appear to be tangent are tangent

A shape-preserving transformation (movement) in the plane or in space is called an isometric transformation (or isometry).

A shape-preserving transformation (movement) in the plane or in space is called an isometric transformation (or isometry). The isometric transformations include translation, rotation, and combinations thereof, such as the glide, which combines a translation with a reflection.

A transformation of geometry can be rigid or non-rigid; "isometry" is another name for a rigid transformation. The size or shape of the figure remains unchanged when an isometry, such as a rotation, translation, or reflection, is applied. Since a dilation either increases or decreases the size of a figure, it is not an isometry.

A linear transformation with length preservation is called an isometry of the plane. Rotation, translation, reflection, gliding, and the identity map are all examples of isometries. Geometrically congruent refers to two geometric forms that are connected by an isometry.

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Step-by-step explanation:

Exponential can't be odd, because any exponential function has a range that isn't defined for all reals

The additive counterpart of given expressions are (2a+3b), -2a+2(-b+c), and -3(a+2b)+2c=0.

When two numbers may be added together or multiplied, regardless of the order in which they are entered, the result is said to be commutative. There are different formulas available for the conversion of multiplicative expressions to their additive counterparts.

a) The first expression is a²b³. This expression is written as aabbb. This is of the form ab and its corresponding additive counterpart is of the form a+b.

Then, a+a+b+b+b=2a+3b.

b) The second expression is a⁻²(b⁻¹c)². This expression is of the form a⁻¹ and its corresponding additive counterpart is of the form -a.

Then,

\(\begin{aligned}a^{-2}(b^{-1}c)^2&=a^{-1}a^{-1}(b^{-1}c)(b^{-1}c)\\&=-a-a-b+c-b+c\\&=-2a+2(-b+c)\end{aligned}\)

c) The third expression is (ab²)⁻³c²=e. This expression is first expanded as, (ab²)⁻¹(ab²)⁻¹(ab²)⁻¹c²=e. Using property, (xy)⁻¹=y⁻¹x⁻¹.

Then,

\(\begin{aligned}((b^2)^{-1}a^{-1})((b^2)^{-1}a^{-1})((b^2)^{-1}a^{-1})c^2&=e\\(b^{-2}a^{-1})(b^{-2}a^{-1})(b^{-2}a^{-1})c^2&=e\end{aligned}\)

Also, the additive identity to e is zero. And, aⁿ=na.

Then,

(-2b-a)+(-2b-a)+(-2b-a)+2c=0

Simplifying we get,

-3(a+2b)+2c=0.

The answers are  (2a+3b), -2a+2(-b+c), and -3(a+2b)+2c=0.

The complete question is -

Translate each of the following multiplicative expressions into its additive counterpart. assume that the operation is commutative

a. a²b³

b. a⁻²(b⁻¹c)²

c. (ab²)⁻³c²=e

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Answer:

EF = 2.37

Step-by-step explanation:

It's given that these are similar triangles.

In similar triangles, the side lengths are proportional.

We can write the following equation based on this information:

\( \frac{11}{3.3} = \frac{7.9}{ef} \)

11EF = 27.03

EF = 2.37

The given values are 2,6,5,3,0,3,4,3,2,4,5,2,4

There are the following values as shown in the given data.

To find the mode first we have to assign each value that how many times it appears.

1. 2-3 the number 2 appears only Three times.

2. 6-1 the number 6 appears one time.

3. 5-2 the number 5 appears only two times.

4. 3-3 the number 3 appears only three times.

5. 0-1 the number 1 appears only one time.

6. 4-3 the number 4 appears only Three times.

So, the mode of the given data is 4,3,2 as it appears the most number of times.

If a given set of values with two modes is bimodal, a given set of numbers with three modes is trimodal, and any set of numbers with more than one mode is multimodal.

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Answer:

B.

Step-by-step explanation:

Because you have to multiply 6y by 2 that is 12y and you have to multiply -4 by 2 that is - 8, you put it together and it's 12y - 8.

Answer:

Step-by-step explanation:

D:  x ≥ -2.  This set includes x = -2 and all numbers greater than -2.

Answer: Choice D)  \(x \ge -2\)

Explanation:

We have a closed circle at -2, and shading to the right. This tells us x can equal -2, or it can be larger than -2. In short, x is greater than or equal to -2.

Symbolically, we'd write it as \(x \ge -2\)

If you wanted to graph \(x > -2\) instead, you would have an open circle to indicate "do not include this value in the solution set".

Answer:

0

Step-by-step explanation:

Answer:

The questions does not make any sense

Step-by-step explanation:

You need to say how much they make an hour

Answer:4 hours

Step-by-step explanation:

Answer:

$4.16

Step-by-step explanation:

To find out how much 8 ounces of frozen yogurt costs if each ounce costs $0.52, we can use an equation that looks like this:

Therefore, for 8 ounces of yogurt is will cost $4.16.

Answer:

the last one

Answer:

the answer is c

Step-by-step explanation:

Answer:

A = 18 km ^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 ( 10 ) * 3.6

A = 18 km ^2

The large gear needs to make 3 full turns, and the small gear needs to make 4 full turns for the arrows to line up again.

To find the number of times the gears need to turn, we need to determine the least common multiple (LCM) of the number of teeth on each gear. The LCM of 12 and 8 is 24. This means that it takes 24 teeth engagements for the gears to align again.

For the large gear with 12 teeth, it will complete one full turn when 12 teeth have engaged. Since the LCM is 24, the large gear needs to make 2 full turns to reach 24 teeth engagements. Therefore, it needs to make a total of 2 turns for the arrows to line up again.

Similarly, for the small gear with 8 teeth, it will complete one full turn when 8 teeth have engaged. Since the LCM is 24, the small gear needs to make 3 full turns to reach 24 teeth engagements. Therefore, it needs to make a total of 3 turns for the arrows to line up again.

The large gear needs to make 2 full turns, and the small gear needs to make 3 full turns for the arrows to line up again. When the arrows align, 24 teeth will have touched each other.

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Answer:

26.73 minutes have gone by

Step-by-step explanation:

x        27

----  =  -----    since we are trying to find how many minutes out of 99 passed,

99      100   place x for the missing digit

x times 100 = 99 times 27

x100 = 2673  x times 100 is just x100 since we don't know what x is, and 99  

                       times 27 is 2673

x100 = 2673  to find x, it needs to be alone (x is very introverted :'> ) we can

  ----     -------  remove 100 by doing the opposite of what 100 is doing to the  

 100     100   x. Since it is 100 TIMES x, we will remove it by dividing 100 by        

                      100 (which crosses it out) and then 2673 divided by 100. 2673      

 x = 26.73     divided by 100 gives us 26.73, so x equals 26.73.

Each cross-section perpendicular to the x-axis is an equilateral triangle. The volume of the solid is\((sqrt(3)/36) × s^3.\)

To find the volume of a solid whose each cross-section perpendicular to the x-axis is an equilateral triangle, we need to use calculus. Let us denote the area of an equilateral triangle with side length s as A(s).

Hence, the volume of the solid will be∫baf(x)dx, where f(x) is the function that gives the area of the cross-sectional triangle whose base is the x-axis and b and a are the limits of the interval over which we want to find the volume.

As each cross-section is an equilateral triangle, the area of the triangle whose base is the x-axis will be

\(A(f(x)) = (\sqrt{(3)/4)} \times(f(x))^2.\)

We have to find the limits of the interval for which we need to find the volume. As we are finding the volume of a solid, we know that the interval will be in the x-direction. Hence, we need to find the limits of the interval of the x-axis. We can see that the cross-sectional triangles are equilateral triangles.

Hence, they will be similar, and we can set up a proportion to find the value of x for which the triangle has side length s. We know that the height of an equilateral triangle with side length s is \((sqrt(3)/2) × s.\) As the cross-sectional triangles are perpendicular to the x-axis, their height will be equal to the value of x.

Hence, we can set up a proportion to find the value of x. We know that:

\((sqrt(3)/2) × s = x. => s = (2/sqrt(3)) × x.\)

Hence, the limits of the interval will be x = 0 and \(x = (sqrt(3)/2) × s. => x = 0\)and \(x = s/(2 × sqrt(3)).\)

Now, let us find the volume. We know that \(f(x) = (sqrt(3)/4) × x^2.\)

Hence, the volume will be: \(V = ∫(s/(2 × sqrt(3))0(sqrt(3)/4) × x^2dx => V = (sqrt(3)/36) × s^3\)

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Answer:

x = 5/3

Step-by-step explanation:

4x= x + 5

3x=5

x = 5/3

The mean of the number of drivers expected not to be wearing seatbelts is approximately 4.35, the variance is approximately 15.62, and the standard deviation is approximately 3.95 and they expect to stop approximately 4.35 cars before finding a driver whose seatbelt is not buckled.

a. To find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts, we can model the situation using a geometric distribution.

Let's define a random variable X that represents the number of cars stopped until the first driver without a seatbelt is found. The probability of a driver not wearing a seatbelt is given as p = 0.23.

The mean (μ) of a geometric distribution is given by μ = 1/p.
μ = 1/0.23 ≈ 4.35

The variance (σ^2) of a geometric distribution is given by σ^2 = q/p^2, where q = 1 - p.
σ^2 = (0.77)/(0.23^2) ≈ 15.62

The standard deviation (σ) is the square root of the variance.
σ = √(15.62) ≈ 3.95


b. The expected number of cars they expect to stop before finding a driver whose seatbelt is not buckled is equal to the reciprocal of the probability of success (finding a driver without a seatbelt) in one trial. In this case, the probability of success is p = 0.23.

Expected number of cars = 1/p = 1/0.23 ≈ 4.35

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Answer:

Huhulaan wziwxibex

Letter D

Polynomials are algebraic expressions consisting of terms that include real numbers, variables, and positive integer exponents. Each term in a polynomial has a variable raised to a non-negative integer power, and the coefficient of each term is a real number. Polynomials are classified by the degree of their highest power. If two or more terms in a polynomial have the same variable raised to the same power, they can be combined into a single term.

1. -x² + x - x² + 1

Combine like terms: -x² + x - x² + 1 = -2x² + x + 1

This polynomial has degree 2 because the highest power of the variable is 2.

2. x² + x + 2x³ - x

Rearrange terms: 2x³ + x² + x - x = 2x³ + x²

This polynomial has degree 3 because the highest power of the variable is 3.

3. 4x + x + x - 2

Combine like terms: 4x + x + x - 2 = 6x - 2

This polynomial has degree 1 because the highest power of the variable is 1.

4. 3x² + 4 - 3x² - 1

Combine like terms: 3x² - 3x² + 4 - 1 = 3

This polynomial has degree 0 because there is no variable term.

Therefore, the four given polynomials have degrees 2, 3, 1, and 0, respectively.

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Answer:

Step-by-step explanation:

-25/40 + -64/40

-89/40

-2 9/40

a. The amount of money that he lost will be $136.

b. The amount of money that he earned will be $32.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Miguel is working at the area fair. On Friday, he works at the snack bar. On Saturday, he works at the inflatable dart corner. At the inflatable dart corner, players are charged $1 for the opportunity to toss 3 darts. Prizes worth $4 each are granted to players who pop somewhere around 2 inflatables. Last year, 4 out of 12 players popped 2 inflatables and 1 out of 12 players popped 3 inflatables.

If the ratio of winners to players is the same this year and 204 people play the​ game. Then the amount of money is given as,

⇒ $1 x 204 - $4 x (1/12 + 4/12) x 204

⇒ $204 - $340

⇒ - $136

A negative sign represents the amount lost.

If Miguel requires players to pop 3 balloons to win a prize and 43 players still​ win. Then the amount of money is given as,

⇒ $1 x 204 - $4 x 43

⇒ $204 - $172

⇒ $32

A positive sign represents the amount earned.

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Answer:

Both distances are in the scientific notation:

Earth - Sun = 9.3 * 10^7 miles

Saturn - Sun = 8.87 * 10^8 miles

8.87 * 10^8 - 9.3 * 10^7 =

= 88.7 *10^7 - 9.3 * 10^7 =

= 79.4 * 10^7 = 7.94 * 10 ^8 = 794,000,000 miles

Answer: Saturn is  7.94 * 10^8 miles farther from Sun than Earth is.

Step-by-step explanation:

I hope this helps you :)

-KeairaDickson

Answer:

3+4

Step-by-step explanation:

cuz they are separated by a plus sign

Answer:

0.3.

should be the answer im sorry if I'm wrong

Answer:

1/2

Hope this helps with your question :)

The region graph enclosed by the given functions y = sec2(x) and y = 8 cos(x) for -3 ≤ x ≤ 3 can be sketched as follows.

1. Plot the graphs of the given functions:

y = sec2(x) and y = 8 cos(x) for -3 ≤ x ≤ 3.

2. Shade the area enclosed the two graphs.

3. The region enclosed by the given functions is shown below.

The region enclosed by the given functions y = sec2(x) and y = 8 cos(x) for -3 ≤ x ≤ 3 can be sketched as follows. Firstly, plot the graphs of the two functions on the same coordinate plane. Then, shade the area enclosed by the two graphs. The resulting region is a curved area that starts from the point (-3, 8 cos(-3)) on the left, curves up until it reaches the point (3, 8 cos(3)) on the right and then curves down until it reaches the point (-3, 8 cos(-3)). The enclosed region is a continuous, curved area that lies between the two graphs.

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Answer:

\(<A=106\)

Step-by-step explanation:

The given figure is an isosceles trapezoid, this means that the two non-parallel sides in the trapezoid are congruent. One of the properties of an isosceles triangle is that opposite angles are supplementary. This means that the sum of angles opposite each other in an isosceles trapezoid is (180) degrees. One can apply this here by stating the following,

\(<A+<C=180\)

Substitute,

\(<A+74=180\)

Inverse operations.

\(<A=106\)

Answer:

X = 3

Step-by-step explanation:

3x = -3x + 15

3x +2x = 15

5x = 15

x = 3

Answer:

The answer is 3 :)

Step-by-step explanation:

The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

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Answer:

\(x < -7\)

Step-by-step explanation:

\(4 - (x+2) <-3(x+4)\\\\4 - x -2 < -3x -12\\2 -x < -3x-12\\-x < -3x-14\\2x < -14\\x < -7\)