The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?

The student answered 27 out of 30 questions correctly on the history test, achieving a 90% accuracy rate.

To calculate the number of questions the student answered correctly, we can multiply the total number of questions (30) by the percentage of questions answered correctly (90%). The calculation is as follows:

Number of questions answered correctly = Total number of questions × Percentage of questions answered correctly

= 30 × 0.90

= 27

Therefore, the student answered 27 questions correctly on the history test.

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Answer:

D.(1,-2)

Step-by-step explanation:

y= -3x+1

when x=1

y= -3*1 +1

y=-3+1

so

y=-2

There is only one way to find out the third side in a triangle with the given two sides.

Triangle is a shape composed of three sides. Each side may have the same length or different lengths. To find out the length of one of the sides of a triangle, there are at least two things that you need to know:

The length of the other two sides. Angles with at least one known number.

If a triangle is a right triangle, Pythagoras Theorem can only be used to determine the third side if only the first two sides of the triangle are known, but that's only because a right triangle always has one 90° angle.

a² + b² = c²

where,

a, b are two given sides

From the formula of base of an isosceles triangle, if we know the side length and height, we can find the base of the triangle.

b = 2√(a² - h²)

where,

a is the length of the side

h is the height

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Answer:

Δ ABC is isosceles

Step-by-step explanation:

∠ ABC and ∠ BCE are alternate angles and are congruent , that is

∠ BCE = ∠ ABC = 80°

since DE id a straight line then the angles lying on it sum to 180° , that is

∠ ACD + ∠ ACB + ∠ BCE = 180°

50° + ∠ ACB + 80° = 180°

∠ ACB + 130° = 180° ( subtract 130° from both sides )

∠ ACB = 50°

∠ BAC and ∠ ACD are alternate angles and are congruent , that is

∠ BAC = 50°

then

∠ BAC = ∠ ACB = 50°

Since the 2 base angles are congruent then Δ ABC is isosceles

Answer:

False

Step-by-step explanation:

it is by a factor of 2

Answer:

$62.85

Step-by-step explanation:

Given data

ratio=  10: 7: 5

Total ratio= 10+7+5= 22

Lisa= $20

Her proportion of the ratio = 7

Applying the part to all method

Let the total amount shared be x

7/22= 20/x

cross multiply

7x= 22*20

7x= 440

divide both sides by 7

x= 440/7

x= 62.85

Answer:

So 2:14 and 3:21 are two ratios that are equal to 1:7. Students are also asked to determine whether two given ratios are equal, by first writing each ratio as a fraction, then writing each fraction in lowest terms. If the two fractions are the same when written in lowest terms, then the ratios are equal.

Step-by-step explanation:

Above

Please Mark brainliest if this helped i need 3 more!

Answer:

2:14 or 3:21

Step-by-step explanation:

because u multiply

The number of rectangles of different sizes can be formed from 36 identical rectangles is 5

From the question, we have proofs of;

Total number of identical squares = 36

Now, let the measurement of the side of each square be 1 unit

We have that the formula for area of a square is;

Area of a square = Side × Side square units

We have the area of the square to be;

Area of each square = 1×1 = 1 square units

This is so because the rectangles are identical both in length and width

Let's find the area of the identical squares

Area of total 36 identical squares

=  36×1 square units

=  36 square units

So Area of the rectangle = length × breadth square units

if the rectangles are formed from 36 identical squares then their areas are the same

Total area of required rectangles = 36 square units

It can be written as;

36 = length × breadth

(1,36) , (2,18),(3,12),(4,9),(6,6) are the different rectangles formed from 36 identical squares

Total rectangles = 5

Thus, the number of rectangles of different sizes can be formed from 36 identical rectangles is 5

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Answer:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

Step-by-step explanation:

Answer:

a) y = 11x

b) y = $660

Step-by-step explanation:

a) For 10 people is $110, so simply divide.

110/10 = $11 per person.

y = 11x

b) So using that, substitute 60 for x.

y = 11(60)

y = $660

The z-scores for the 10th and 90th percentiles are -1.28 and 1.28, respectively. The mean and standard deviation of the performance scores can be determined using the z-scores and the z-score formula.

a. To find the z-scores associated with the 10th and 90th percentiles from the standard normal distribution, we can use a standard normal distribution table or a calculator. The 10th percentile corresponds to a z-score of approximately -1.28, and the 90th percentile corresponds to a z-score of approximately 1.28.

b. To calculate the mean and standard deviation of the performance scores, we can use the z-score formula and the information given. Let's denote the mean as μ and the standard deviation as σ.

For the 10th percentile (z = -1.28):

-1.28 = (380 - μ) / σ

For the 90th percentile (z = 1.28):

1.28 = (160 - μ) / σ

Solving these two equations simultaneously will give us the values of μ and σ.

c. To find the performance score a manager must exceed to receive an A grade, we need to find the z-score associated with the top 3% of the standard normal distribution. The z-score corresponding to the top 3% is approximately 1.88. Using the z-score formula, we can calculate the corresponding performance score:

1.88 = (X - μ) / σ

Solving this equation for X will give us the performance score needed to receive an A grade.

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Answer:

i don't know that language sorry

Step-by-step explanation:

It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°

The adjoining star contains a regular pentagon. Thus;

Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°

Thus;

Each interior angle of the pentagon = 540/5 = 108°

Thus, each exterior angle = 180 - 108 = 72°

Then measure of the angle at the vertex = 180 - 72 - 72 = 36°

Thus, each angle at the vertices of the star have an angle of 36°.

There are 5 star vertices and so;

Sum of angles of 5 star vertices = 5 * 36 = 180°

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The expected number of cards that are next to another card of the same value in a shuffled standard deck is approximately 0.1698.

To calculate the expected number of cards that are next to another card of the same value in a shuffled standard deck, we can consider the probability of each card being next to another card of the same value.

Let's break down the calculation:

For each card in the deck, there are two adjacent cards (one on each side) that can potentially be of the same value. However, the first and last cards only have one adjacent card each.

For the inner cards (excluding the first and last cards), there are three possibilities for each card:

The card is of the same value as the card to its left and the card to its right.

The card is of the same value as the card to its left but not the card to its right.

The card is of the same value as the card to its right but not the card to its left.

Since each card value appears on four cards in the deck, the probabilities for each of these three possibilities are:

Probability of both adjacent cards having the same value = (3/51) × (3/51) = 9/2601

Probability of only the left adjacent card having the same value = (3/51) × (48/51) = 144/2601

Probability of only the right adjacent card having the same value = (48/51) × (3/51) = 144/2601

Now, let's calculate the expected number of cards next to another card of the same value:

Expected number = (1/52) + (1/52) + (50/52) × (9/2601 + 144/2601 + 144/2601) + (1/52) = 441/2601 ≈ 0.1698

Therefore, the expected number of cards that are next to another card of the same value in a shuffled standard deck is approximately 0.1698.

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Answer:

X = 7

Plz double check my work, in case it wrong. Dont want it to be wrong and then you be wrong

Step-by-step explanation:

If you need the answer 21, and you have to find a way to get what the value of X is, you will have to use subtraction from 21.

21 minus 10 = 11.

11 minus 4 = 7 There fore, the answer should be 7 for X

Double check it by doing (7 + 4) + 10 = 21

                                            11 + 10 = 21

                                               21 = 21

Answer:

6

Step-by-step explanation:

The height of the prism is 6 units if the volume of the prism is 234 cubic units, option second 6 units is correct.

It is defined as a three-dimensional space enclosed by an object or thing.

We have a volume of the prism is 234 cubic units.

Here some data are missing so we are assuming

a = 8 units

b = 5 units

h = 3 units

Area of two isosceles trapezoids = 2(8+5)(3/2) = 39 square unit

Area of  the hexagon = Area of two isosceles trapezoids

= 39 square units

Area of hexagon = 2× 19.5 = 39 unit square

Volume of the prism = base area×height

234 = 39h

h = 6 units

Thus, the height of the prism is 6 units if the volume of the prism is 234 cubic units.

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The number of people who owned both a cat and a dog is 73.

We need to calculate how many people owned both a cat and a dog. The number of people who owned a dog and/or a cat is:

Total = dog-only + cat-only + dog-and-cat + neither

Total = 145 + 60 + dog-and-cat + 71

Total = 276 + dog-and-cat

So, the number of people who owned both a cat and a dog (dog-and-cat) is:

dog-and-cat = Total - 276

dog-and-cat = 349 - 276

dog-and-cat = 73

However, this number is the total of those who own both. The answer to the question asks how many owned both a cat and a dog.

So:

dog-and-cat = dog-only + cat-only + dog-and-cat

dog-and-cat = 145 + 60 + dog-and-cat

73 = 145 + 60 + dog-and-cat

dog-and-cat = 73 - 205

dog-and-cat = -132

Hence, 132 people neither own a dog nor a cat. So, the number of people who owned both a cat and a dog is:

dog-and-cat = Total - (dog-only + cat-only + neither)

dog-and-cat = 349 - (145 + 60 + 71)

dog-and-cat = 349 - 276

dog-and-cat = 73

Therefore, the number of people who owned both a cat and a dog is 73.

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Okay, here we have this:

Considering that a function is one-to-one if and only if no horizontal line intersects its graph more than once.

So, according with this we any horizontal line that is drawn on the line touches only one point on it, therefore the function is one to one.

If one diagonal of a kite is twice as long as the other diagonal and the area of the kite is 240 square inches, then the length of the shorter diagonal is 4√15 inches and the length of the longer diagonal is 8√15 inches.

To find the length of the diagonals, follow these steps:

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Tthe arc length function for the curve y = sin−1(x) 1 − x2 with starting point (0, 1) is L(x) = (1/2) * (pi/2 - sin−1(x)) + (1/2) * x * sqrt(1 - x^2), where x is between 0 and 1.

To find the arc length function for the curve y = sin−1(x) 1 − x2 with starting point (0, 1), we first need to find the derivative of the function. Taking the derivative of the function, we get:

dy/dx = 1 / sqrt(1 - x^2)

Now, we can use the formula for arc length to find the arc length function:

L(x) = ∫[0,x] sqrt(1 + (dy/dx)^2) dx

Substituting the derivative of y with respect to x into this formula, we get:

L(x) = ∫[0,x] sqrt(1 + (1 / (1 - x^2))^2) dx

This integral can be evaluated using a substitution or by using a table of integrals. After evaluating the integral, we get the arc length function for the curve:

L(x) = (1/2) * (pi/2 - sin−1(x)) + (1/2) * x * sqrt(1 - x^2)

Therefore, the arc length function for the curve y = sin−1(x) 1 − x2 with starting point (0, 1) is L(x) = (1/2) * (pi/2 - sin−1(x)) + (1/2) * x * sqrt(1 - x^2), where x is between 0 and 1.

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Minimizing the sum of squared residuals.

The OLS (Ordinary Least Squares) estimator is derived by minimizing the sum of squared residuals. This method aims to find the line of best fit that minimizes the vertical distance between the observed data points (Yi) and the predicted values on the regression line. The residuals represent the differences between the observed values and the predicted values.

By minimizing the sum of squared residuals, the OLS estimator ensures that the line fits the data as closely as possible. This approach is based on the principle of least squares, which seeks to find the parameters that minimize the overall discrepancy between the observed data and the predicted values.

Connecting the Yi corresponding to the lowest Xi observation with the Yi corresponding to the highest Xi or ensuring that the standard error of the regression equals the standard error of the slope estimator are not the steps involved in deriving the OLS estimator. The OLS method specifically focuses on minimizing the sum of squared residuals.

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Answer:

3 units

Step-by-step explanation:

Translating a segment does not change its length.

It is just moving the segment.

Answer:

A) The volume of the cylinder is 1017.9 in³.

B) The volume of the enlarged cylinder is 27,482.7 in³.

Step-by-step explanation:

The radius of the cylinder is r = 6 in and the height is h = 9 in.

The volume of a cylinder can be found using the formula:

Substitute r = 6 and h = 9 into the formula.

The volume of the cylinder is 1017.876 in³.

If the cylinder is enlarged by a factor of 3, this means that each dimension is getting increased by 3.

Therefore, we need to multiply the original volume by a factor of three cubed; 3³.

The volume of the enlarged cylinder is 27,482.652 in³.

Answer:

3x + 6 < 21

subtract 6 on both sides

3x < 15

reduce by dividing with 3

x < 5

remember to handle inequalities just like equations

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

Videos of y = x + 3 8X - 7Y = 12 Solve Using Subsitutuion here is a link for you to wach how to do it

Step-by-step explanation:

Answer:

12 weeks

Step-by-step explanation:

every 5 weeks marcus lost 7.5 pounds (232 - 224.5)

or 1.5 per week

so 232 - 214 (start to goal) is a total of 18 pounds

18/1.5 = 12 weeks

Answer: The answer is B- The Panthers scored 12 more runs last season than the Cardinals

Step-by-step explanation:

Answer:

Situation B.

"The Panthers scored 12 more runs last season than the Cardinals."

Step-by-step explanation:

I am assuming that the Cardinals are 'c' and the Panthers are 'p'.

=======================================

In situation 'a', the Cardinals scored 12 more runs than the panthers. This means that we would add 12 to the existing 'p' score to get 'c'.

The sum of 12 and 'p' would be 'c'.

\(c = p + 12\)

Option A would be Incorrect.

=======================================

The panthers scored 12 more than the Cardinals last season. This means that we would add 12 to the existing Cardinals' score to get the Panther's score.

The sum of 12 and 'c' would be 'p'.

\(p = c + 12\)

Option B would be Correct.

=======================================

Situation 'C' simply means that the sum of the Panthers' score and the Cardinals' score would be 12.

\(p + c = 12\)

Option C would be Incorrect.

=======================================

Situation D explains itself. 'P' would be set equal to 12.

\(p = 12\)

Option D would be Incorrect.

=======================================

Hope this helps.

Brainliest is appreciated.

On the basis of given information that ΔEFG is congruence to ΔHJK and

a)EG≅HK

b)HJ≅EF

c)∠F≅∠J

d)∠H≅∠E

e)ΔFGE≅ ΔJKH

What are congruence?

Any two figures that can perfectly overlap each other are considered to be in congruence. Triangles that perfectly overlap each other are said to be congruent triangles. Several congruence rules, such as SAS, SSS, RHS, ASA, and AAS, are used to demonstrate the congruency in two triangles. Any of the three specified dimensions can be used to demonstrate that two triangles are congruent since a triangle has six dimensions—three sides and three angles. If placed in the correct orientation, congruent triangles are mirror reflections of one another. The pictures of two congruent things are always overlaid. The congruent figures have the same corresponding angle and dimensions. The character "" is used to denote consistency between two things.

Given that ΔEFG ≅ ΔHJK,

The rule says that if the triangles are congruent then its corresponding parts are equal.

The correspnding angles are:

∠E ≅ ∠H

∠F ≅ ∠J

∠G ≅ ∠K

The correspnding sides are:

EF ≅ HJ

FG ≅ JK

EG ≅ HK

These congruent triangles ΔEFG ≅ ΔHJK can also be names as:

ΔFGE ≅ ΔJKH

ΔGEF ≅ ΔKHJ

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Refer to the attachment for complete question.