9. 56 x 9. 83 Estimated product > or < Exact Product

Using the concept of ratio in the similar triangles, the length scale factor is 1:25

Similar triangles are triangles that have the same shape but may be scaled differently. Two triangles are considered similar if and only if their corresponding angles are congruent (equal in measure) and the ratio of their corresponding sides is the same. This property is known as the "AA Similarity Postulate" or "Angle-Angle Similarity".

In other words, similar triangles have the same shape and proportional sides. This means that if two triangles are similar, corresponding sides are in proportion and corresponding angles are equal in measure.

In the given figures, the two triangles have areas of 3m² and 75m²

The formula of area of a triangle is given as ;

A = 1/2 (b * h)

Assuming the side lengths are equal, we can apply heron's formula which is given as;

S = [a + b + c / 2]

A = √s(s - a)(s - b)(s - c)

But a = b = c

Using the two triangles to find the ratio between the ratios;

Q : R = 3 : 75 = 1 : 25

The length will be given as;

Area = 1/2 b * h

b = h

75 = 1/2 * a * a

a² = 75 * 2

a² = 150

a = √150

In the second triangle;

3 = 1/2(b²)

6 = b²

b = √6

The ratio between Q to R = √6 : √150 = 1 : 25

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Answer:

Perimeter: 132

Area: 864

Step-by-step explanation:

Perimeter:

Add all the sides, so 30 + 18 + 8 + 18 + 18 + 18 + 4 + 18 = 132

Area:

Split it into two separate rectangles, so the first one would be 18 * 30 = 540. The second one would be 18 * 18 = 324. Then, add 540 + 324 = 864

Answer:

Step-by-step explanation:

it is 2x

Answer:

Rational

Step-by-step explanation:

any number that can be written in fraction form is a rational number

hope this helps

Answer:

\(m=\frac{3}{5}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (8, 4)

Point (3, 1)

Step 2: Find slope m

In question 27, the price elasticity of supply for shampoo is given as 20, and the price of shampoo increases by 0.7%. The expected change in the quantity of shampoo supplied can be determined using the concept of price elasticity of supply. However, the specific percentage change in quantity supplied is not provided, so a precise answer cannot be given based on the given information.

In question 20, an inferior good in which the income effect dominates the substitution effect is referred to as a Giffen good. It is not classified as a normal good, luxury good, mass-produced good, or favored good.

In question 30, the cross elasticity of demand measures the responsiveness of the quantity demanded of a particular good to changes in the prices of its substitutes and complements. The correct answer is that the cross elasticity of demand measures the responsiveness to changes in both substitutes and complements.

In question 27, without the specific percentage change in quantity supplied, we cannot determine the exact outcome based on the given information. The price elasticity of supply of 20 suggests that the quantity supplied is highly responsive to changes in price, but the specific percentage change in quantity supplied cannot be calculated without additional data.

In question 28, the relationship between pasta being a Giffen good and other characteristics is not specified. While pasta being a Giffen good indicates that the quantity demanded increases as the price increases, it does not imply whether pasta is a normal good, luxury good, or how price changes affect quantity demanded.

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Answer:

-0.405

Step-by-step explanation:

-50÷15= -10/3

keep doing it and 5th term will be -.405

The measurement of ∠STU is 20°.

Define Angle

When two rays are connected at their endpoints, they form an angle in geometry. We refer to these rays as the angle's sides or arms.

Components of an Angle

An angle is composed of the arms and the vertex as its two basic components:

Given, ∠STU = \((\frac {1}{4} x+8)\)°

∠UTV = x+2°

Given, that the line TV bisects ∠STU,

∠STV = ∠UTV

Substitute their values,

\((\frac {1}{4} x+8)\)° = x+2°

Calculating,

\(\frac{1}{4}x-x\) = 2-8

\(-\frac{3}{4}x\) = -6

x = \(-6*(-\frac{4}{3})\)

x = 8

So, we know that:

∠STU = ∠STV + ∠UTV

          =  \((\frac {1}{4} x+8)\)° +( x+2°)

          =  \((\frac {5}{4} x+10)\)

Now, substitute the value of x,

∠STU =  \((\frac {5}{4} )*8\)°+10°

          = 10° + 10°

          = 20°

Therefore, the measure of ∠STU is 20°.

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We are given three conic sections: a parabola, a hyperbola, and a new conic section with its center at point K(1, -1) and passes through points L(0, 0) and M(-1, 1). We need to determine the correct letter(s) that represent these conic sections.

To identify the conic sections, let's analyze the given information. The center of the new conic section is at point K(1, -1), and it passes through points L(0, 0) and M(-1, 1).

Since a parabola is determined by its focus and directrix, and a hyperbola has two foci, it is unlikely that either of these conic sections can be uniquely determined based on the given information.

Therefore, without additional information about the nature of the conic sections (e.g., the eccentricity for hyperbola or the vertex and axis of symmetry for parabola), we cannot definitively determine the correct letter(s) to represent these conic sections. It is possible that the correct letter(s) could be CO, L, or none of them.

In conclusion, without further information, we cannot determine the exact conic sections represented by the given points.

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Answer:

The integer representing the fish's depth is -19.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

a function doesn't have any repeating x values

Answer:

V = 160 cubic inches

Step-by-step explanation:

Given that,

Length, width and height of prism are 8 inches, 4 inches and 5 inches

The formula for the volume of a rectangular prism is given by :

\(V=l\times b\times h\\\\V=8\times 4\times 5\\\\V=160\ inches^3\)

So, the volume of the prism is 160 cubic inches.

The z score associated with the highest 10% is closest to: option (c) 1.28

-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.

- Look up the 0.90 (90%) in a standard normal distribution  (z score) table, which will give you the corresponding z score.

-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.

Therefore, the z score associated with the highest 10% is closest to 1.28.

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Answer: 34

Step-by-step explanation:

Vertical angles are congruent.

Answer:

Solution given:

x+138°+50°=180°[co interior angle]

x+188°=180°

x=180°-188°

x=-8°

Answer:

x=8 degrees

Step-by-step explanation: (warning, hard to understand. Statistical Mathematics Used).

130 degrees x=130

180=y x 4 = 8/13

90=rightangle-56 degrees

=13

13-5=8

x=8 degrees

The work done in moving the particle from the origin to x = 9 is 2,565 units obtained by integrating the force function over the interval.

To find the work done in moving the particle, we need to integrate the force function over the interval from the origin (x = 0) to the final position (x = 9). The work done is given by the definite integral of the force function with respect to x.

Integrating the force function 4x^3 + 1 with respect to x gives us x^4 + x evaluated from 0 to 9. Plugging in the upper limit of integration (9) and the lower limit (0) into the antiderivative expression, we get (9^4 + 9) - (0^4 + 0), which simplifies to 6561 + 9 - 0 = 6561 + 9 = 6570.

Therefore, the work done in moving the particle from the origin to x = 9 is 2,565 units.

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Complete Question:

The force on a particle is described by 4x^3+1 at a point x along the x-axis. Find the work done in moving the particle from the origin to x=9.

Answer:

Rajesh salary is the median

Step-by-step explanation:

Am not good in explanation

Answer:

1: Ram

Step-by-step explanation:

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values

if we put these salaries in order we can find out what the median salary is.

32,701 , 45,600 , 52,000 , 67,250 , 71860.

The number in the centre or the middle is 52,000. That is Ram's salary.

The answer is 1. Ram

I hope you find this useful, rate me the brainliest if you did ;)

The equation to model the population is P = \(\frac{1}{40}\) \(e^{0.05t}\) + 30

Here the population P of a small town, measured in hundreds, is modeled by the inverse of the function,P−1(t) = 20ln(40t − 1200)

where t is measured in years.

We need to find an equation to model the population.

let y = \(p^{-1}\)(t)

where t is measured in years.

We need to find an equation to model the population.

20\(ln\)(40y - 1200) = t

\(ln\)(40y - 1200) = t/20

\(e^{ln(40y - 1200)}\) = \(e^{0.05t}\)

(40y - 1200) = \(e^{0.05t}\)

40y = \(e^{0.05t}\) + 1200

y = \(\frac{1}{40}\) \(e^{0.05t}\) + 30

Now, we determine the initial value.

P(0) = \(\frac{1}{40}\) + 30

P(0) = 30

The equation to model the population is P = \(\frac{1}{40}\) \(e^{0.05t}\) + 30

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Hello There!

First, let's find the slope using this formula:

m=\(\frac{y2-y1}{x2-x1}\)

m=\(\frac{-8-(-6)}{-6-6}\)

m=\(\frac{-8+6}{-6-6}\)

m=\(\frac{-2}{-12}\)

m=\(\frac{1}{6}\)

So the slope is 1/6.

Now use the Point-Slope formula:

y-y1=m(x-x1)

y-(-6)=1/6(x-6)

y+6=1/6x-1

y=1/6x-1-6

y=1/6x-7

Therefore, our final answer is: \(y=\frac{1}{6} x-7\)

Hope this helps you!

~Just a felicitous girlie

#HaveAnAwesomeDay

\(SilentNature :)\)

The thing that intuition says about the degree measures of these angles is that ABC and DEF are supplementary angles.

It should be noted that the given measures are ABC = 70° and DEF = 110°

it should be noted that supplementary angles are the angles that have the addition as 180°.

In this case,

ABC + DEF

= 70° + 110°

= 180°

Therefore, the thing that intuition says about the degree measures of these angles is that ABC and DEF are supplementary angles.

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1st set = 4 letters

2nd set = 4x 4 = 16 letters

3rd set = 16 x 4 = 64 letters

4th set = 64 x 4 = 256 letters

5th set = 256 x 4 = 1,024 letters

6th set =1024 x 4 = 4,096 letters

7th set = 4096 x 4 = 16,384 letters

8th set = 16,384 x 4 = 65,536 letters

Each letter cost 2

Total cost = 65,536 x 2 = 131,072

Answer:

A) 3/25

Step-by-step explanation:

2 spinners with 5 sectors numbered 1 to 5 gives 25 possible outputs.

Spinner 1 + Spinner 2

1 + 1

1 + 2

1 + 3

1 + 4

so on...

If you use the same pattern to find all 25 outputs, then the results show 3 possibilities of a total less than 9 when you spin both these spinners.

To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.

To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:

Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).

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Answer:

B

Step-by-step explanation:

To find the inverse of a function just replace the x and y value

so for f(x) instead of y=√(x-2) it x=√(y-2)  --- take this and now solve for y

x=√(y-2)

x²=y-2

x²+2=y

This matches h(x)

Answer: It really is B but I’m confused on your new question I’ll try :(

Step-by-step explanation:

The model y = β0 + β1x + ε tells us about the linear relationship between the variables x and y.

In this model:

- y represents the dependent variable that we want to explain or predict
- x represents the independent variable that we use to explain or predict y
- β0 (beta0) is the intercept, which is the value of y when x is zero
- β1 (beta1) is the slope, representing the change in y for a one-unit change in x
- ε (epsilon) is the error term, accounting for the unexplained variation in y that is not captured by the model

The model helps us understand the association between x and y, with β1 indicating the strength and direction of the relationship. A positive β1 indicates a direct relationship (as x increases, y increases), while a negative β1 indicates an inverse relationship (as x increases, y decreases).

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Answer:

4

Step-by-step explanation:

use pemdas.

4+4-4x4/4

4+4-16/4

4+4-4

8-4

4

Answer:

graph c

Step-by-step explanation:

it is the longest one

The value of cos θ is equal to 1/3 when sec θ= √6/2.

Since we are given the value of secant of theta, we can use the relationship between secant and cosine to find the value of cosine of theta.

Let's start by recalling the definitions of secant and cosine functions. The secant of an angle is defined as the reciprocal of the cosine of that angle.

In other words, secθ = 1/cosθ

Conversely, the cosine of an angle is defined as the reciprocal of the secant of that angle.

cosθ = 1/secθ

We are given that secθ= √6/2

We can use this value to find cosθ= 1/secθ

cosθ = 1 / (√6/2)

To simplify this expression, we can multiply both the numerator and denominator by 2/sqrt(6).

cosθ = ((2/√6) / (√6/2) * (2/√6))

cosθ = (2/√6) / 1

cosθ = (2/√6 * √6/√6)

cosθ = 2/6 = 1/3

Therefore, the value of cosθ is equal to 1/3 when secθ = sqrt(6)/2.

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Answer:

D, 103 mm

Step-by-step explanation:

To convert cm to mm, multiply cm by 10.

10cm = 100mm.

So 103mm is greater than 10 cm by 3 mm. answer D.

The surface area obtained by rotating the curve y = x² from x = 0 to x = 8 about the y-axis is 2048π square units.

We are given that the curve y = x² is rotated from x = 0 to x = 8. So our range of integration is from x = 0 to x = 8.

To use the disk method, we need to express the curve in terms of y instead of x. For the equation y = x², we can rewrite it as x = √y.

The radius of each disk is the distance between the y-axis and the curve. Since we are rotating the curve around the y-axis, the radius will be the value of x for a given y. Therefore, the radius is x = √y.

The area of each disk can be found using the formula for the area of a circle, which is A = πr². In this case, the area is A = π(x²) = π(√y)² = πy.

To find the total surface area, we need to sum up the areas of all the disks. We integrate the area function πy with respect to y from y = 0 to y = 64 (since x = 8 corresponds to y = 64).

Surface Area = ∫(πy)dy from 0 to 64

= π∫y dy from 0 to 64

= π[y²/2] from 0 to 64

= π[(64²/2) - (0²/2)]

= π[2048]

= 2048π square units.

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