Can someone plz help me with this????

Answer: The Actual area of the dining room is 252 square feet.

Explanation:

How to Find the Actual Area Using Scale?

Given that the area of the house on a blueprint = is 7 square inches.

The scale of the blueprint = is 1 inch: 6 feet.

Therefore, we would have the following proportion:

The area on the blueprint/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.

Answer:

In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.                         2 ways to find the area of a triangle using Pythagorean Theorem? 1. Using Pythagorean theorem. The basic formula for triangle area is side a (base) times the height h , divided by 2: area = (a * h) / 2 2.Using trigonometry. Let's start from the trigonometric triangle area formula: area = (1/2) * a * b * sin(γ) , where γ is the angle between sides.            

Answer:

In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.                         2 ways to find the area of a triangle using Pythagorean Theorem? 1. Using Pythagorean theorem. The basic formula for triangle area is side a (base) times the height h , divided by 2: area = (a * h) / 2 2.Using trigonometry. Let's start from the trigonometric triangle area formula: area = (1/2) * a * b * sin(γ) , where γ is the angle between sides.                                                                      

The dot product is also known as the scalar product or inner product of two vectors. It is a binary operation that takes in two vectors and returns a scalar quantity. the value of u · v is -12. Hence, the correct answer is -12.

According to given information:

Given that u = ⟨1, √3⟩, |v| = 6, and the angle between the vectors is 120°,

we need to find the value of u · v.

To calculate the dot product, we can use the formula:

u · v = |u| |v| cos θ

where |u| is the magnitude of vector u,

|v| is the magnitude of vector v, and

θ is the angle between the vectors.

Let's plug in the values that we know into the formula:

\(|u| = \sqrt{(1^{2} + (\sqrt{3} )^{2}) }\)

= 2cos 120°

= -1|v|

= 6u · v

= \(|u| |v| cos θ\)

= (2)(6)(-1)

= -12

Therefore, the value of u · v is -12. Hence, the correct answer is -12.

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Answer:

3.333333 times

Step-by-step explanation:

Answer:

just about 3 times

Step-by-step explanation:

250 / 75

Answer:

f(x) represents the red line

g(x) represents the green line

if the variable x = 1

3 = -1(1×(-3))

3 = -1×(-3)

3 = 3

Answer:

1/3

Step-by-step explanation:

Scale factor =Image/object

scale factor=Figure B/Figure A

Take any side

=>3/9=1/3

The sale price not including the tax of sweater is $61.75

In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".

Now it is given that,

Original price of sweater = $95

Percentage reduction in price = 35%

Thus, Reduction in price = 35% of original price

⇒  Reduction in price = 35% of $95

Solving we get,

Reduction in price = 0.35 * 95

Reduction in price = $33.25

Thus, Selling Price of the sweater = original price - reduction in price

⇒ Selling Price of the sweater = $95 - $33.25 = $61.75

Thus, the sale price not including the tax of sweater is $61.75

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The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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Answer:

830 yd

Step-by-step explanation:

Theres a few ways you can do this but I'll show you one of the easeist way for solving this problem.

You can slipt this figure into 2 rectangles by just cutting the small rectangle out (the one thats kind of sticking out)

Then, all you have to do is find the area of both rectangles and add them together.

For the big rectangle : 20x40 = 800

For the little rectangle : 30x10 = 30

Add all togther:

800 + 30 = 830 yd

Hope this helps :)

The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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Answer:

C. 76.3%

Step-by-step explanation:

To find Korey's gross profit margin, we can use the formula:

Gross Profit Margin = (Gross Profit / Net Sales) x 100%

We are given that Korey's net sales were $4,350 and gross profit was $3,320. Plugging these values into the formula, we get:

Gross Profit Margin = ($3,320 / $4,350) x 100%

Gross Profit Margin = 0.763 x 100%

Gross Profit Margin = 76.3%

Therefore, Korey's gross profit margin is c. 76.3%

Answer:

c) 76.3%

\(\hrulefill\)

Step-by-step explanation:

Gross profit margin is a percentage that shows how much money a company keeps from its sales after taking away the costs of making the products they sell. It helps us understand how well the company is managing its expenses and making a profit.

To calculate Korey's gross profit margin, we can use the formula:

\(\boxed{\sf Gross \;Profit \;Margin =\dfrac{Gross\;profit}{Net\; Sales} \times 100}\)

Given information:

(Note: The net income of $1,850 is not related to the calculation of the gross profit margin).

Substitute the given values into the formula:

\(\begin{aligned}\sf Gross \;Profit \;Margin& =\sf \left (\dfrac{Gross\; Profit}{Net\; Sales}\right) \times 100}\\\\&=\sf \left (\dfrac{3320}{4350}\right) \times 100}\\\\&=\sf 0.76321839 \times 100}\\\\&=\sf 76.3\%\;(nearest\;tenth)\end{aligned}\)

Therefore, Korey's gross profit margin is approximately 76.3% (rounded to the nearest tenth).

Mr Garza received 40% discount.

The correct answer is an option (D)

We know that in order to determine the percentage, we divide the value by the total value and then multiply the resultant by 100.

The formula for the percentage would be,

percent = (number of parts / total number of possible parts) × 100%

Here, the original price of the coat is $180

Mr Garza received a discount of $72. 00 on a coat.

Let p represents the discount he received.

Using above formula for percent,

p = (72/180) × 100%

p = 0.4 × 100%

p = 40%

Therefore, he received 40% discount.

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The simplified form of trigonometric expression, cosec θ / sin θ + cos θ cot θ is 1.

Given,

The trigonometric expression = cosec θ / sin θ + cos θ cot θ

We have  to simplify this expression.

For that we can use trigonometric identities.

cosec θ = 1 / sin θ

cot θ = cos θ / sin θ

We can substitute the above given identities in the expression.

Then we get,

cosec θ / sin θ + cos θ cot θ = (1 / sin θ) / (sin θ + cos θ x (cos θ/sin θ))

= (1 / sin θ) / ((sin²θ + cos²θ) / sin θ)

Cancel sin θ from both numerator and denominator.

= 1 / sin² θ + cos² θ

We know that sin² θ + cos² θ = 1

So, we get,

1 / sin² θ + cos² θ = 1 / 1 = 1

Therefore, the simplified form of  cosec θ / sin θ + cos θ cot θ is 1.

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\( \rm9(a + 4b + 3c) \\ 9(a) + 9(4b) \rm+ 9(3c) \\ \rm 9a + 36b + 27c \\ \therefore \tt9(a + 4b + 3c) = 9a + 36b + 27c\)

Answer:

2 and 14/15

Step-by-step explanation:

The value of GH in the rectangle is 60 units.

A rectangle is quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

Therefore, the diagonal of the rectangle divides the rectangle into congruent triangles.

Therefore,

DH = GH

4w + 20 = 6w

subtract 4w from both sides of the equation

4w  - 4w + 20 = 6w - 4w

20 = 2w

divide both sides of the equation by 2

w  =20 / 2

w = 10

Therefore,

GH  = 6(10)

GH = 60 units

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Answer:

the answer would be (-4,-6)

Step-by-step explanation:

hope this helps ya

good luck!!!!!

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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there is the answer to your problem

Answer:

Step-by-step explanation:

6x≤-37

x≤-37/6

x≤ -6 1/6

The appropriate null and alternative hypothesis for calculating number of gogles is H0 : No linear relation H1 : there is a relation

Correlation is a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate).

It's a common tool for describing simple relationships without making a statement about cause and effect.

According to the question,

A group of scientist randomly selected 20 piknits from the sea-floor and measured their respective weights in grams.

Also, They wanted to know if the weight of the piknits can be used to predict the number of gogles.

From the given information,

Null hypothesis : H0 : There is no linear relationship between the weight of piknits and the number of gogles

Alternative hypothesis : Ha: There is a linear relationship between the weight of piknits and the number of gogles

Option 4 is correct about null and alternative hypothesis

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The equation that would represent the gold medals won by the United States is 1 + 4F = 7 + F.

The gold medals won by France is 2.

The gold medals won by the United State is 9.

The equation that would represent the gold medals won by the United States would be a linear function. A linear function is a function that has a single variable that is raised to the power of one. A linear equation is a straight line that slopes either upward or downward when drawn on a coordinate plane.

The equation that represents the gold medals won by the United States is:

1 + ( 4 x F) = 7 + F

1 + 4F = 7 + F

In order to determine the value of F, take the following steps:

Combine similar terms together: 4F - F = 7 - 1

Add similar terms: 3F = 6

Divide both sides of the equation by 3 : F = 6 / 3

F = 2

The gold medals won by the United states

7 + 2 = 9

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The probability density function (PDF) for a uniform distribution ranging between 2 and 6 is 0.25 i.e., the correct option is D.

In a uniform distribution, all values within the range have an equal probability of occurring. The PDF is used to describe the distribution of probabilities over the range. For a uniform distribution ranging between 2 and 6, the PDF would be a horizontal line with a height of 1/4 (or 0.25) between 2 and 6, and zero outside that range. However, at any specific point within the range, the PDF does not have a defined value.

The reason for this is that the PDF for a continuous random variable in a uniform distribution is defined as a constant value divided by the width of the range. Since the range for this uniform distribution is 4 (from 2 to 6), the constant value would be 1/4.

However, at any specific point within the range, the width of the range becomes zero, resulting in an undefined value for the PDF.

Therefore, the PDF for a uniform distribution ranging between 2 and 6 is indeed 0.25, as it provides a constant probability density over the entire range.

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Answer:

x = 7

Step-by-step explanation:

40x ÷ 10 = 28

40x ÷ 10 × 10 = 28 × 10

40x = 280

40x ÷ 40 = 280 ÷ 40

x = 7

Answer:

x=7

Step-by-step explanation:

40x/10 = 28

40x/10 * 10 = 28 *10

40x= 280

40x/40 = 280/40

x = 7

The statement "Quadrilaterals A and B are both squares" does not provide enough information to determine whether A and B are scale copies of one another.

To determine if two quadrilaterals are scale copies of each other, we need to compare their corresponding sides and angles. If the corresponding sides of two quadrilaterals are proportional and their corresponding angles are congruent, then they are scale copies of each other.

In this case, since both A and B are squares, we know that all of their angles are right angles (90 degrees). However, we do not have any information about the lengths of their sides. Without knowing the lengths of the sides of A and B, we cannot determine if they are scale copies of each other.

Therefore, the statement cannot be determined as true or false based on the given information.

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Answer:

2916 and 6724 respectively

Step-by-step explanation:

the steps on how to evaluate 54^2 and 82^2 using the formula for squaring a binomial are:

1. Write the binomial as a sum of two terms.

\(54^2 = (50 + 4)^2\)

\(82^2 = (80 + 2)^2\)

2. Square each term in the sum.

\(54^2 = (50)^2 + 2(50)(4) + (4)^2\\82^2 = (80)^2 + 2(80)(2) + (2)^2\)

3. Add the products of the terms.

\(54^2 = 2500 + 400 + 16 = 2916\\82^2 = 6400 + 320 + 4 = 6724\)

Therefore, the values  \(54^2 \:and \:82^2\)are 2916 and 6724, respectively.

Answer:

54² = 2916

82² = 6724

Step-by-step explanation:

A binomial refers to a polynomial expression consisting of two terms connected by an operator such as addition or subtraction. It is often represented in the form (a + b), where "a" and "b" are variables or constants.

The formula for squaring a binomial is:

\(\boxed{(a + b)^2 = a^2 + 2ab + b^2}\)

To evaluate 54² we can rewrite 54 as (50 + 4).

Therefore, a = 50 and b = 4.

Applying the formula:

\(\begin{aligned}(50+4)^2&=50^2+2(50)(4)+4^2\\&=2500+100(4)+16\\&=2500+400+16\\&=2900+16\\&=2916\end{aligned}\)

Therefore, 54² is equal to 2916.

To evaluate 82² we can rewrite 82 as (80 + 2).

Therefore, a = 80 and b = 2.

Applying the formula:

\(\begin{aligned}(80+2)^2&=80^2+2(80)(2)+2^2\\&=6400+160(2)+4\\&=6400+320+4\\&=6720+4\\&=6724\end{aligned}\)

Therefore, 82² is equal to 6724.

Answer:

6b

Step-by-step explanation:

6 + b = 6b

The corresponding CDF is:F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6.

The value of the constant A can be obtained by using the normalization condition that the integral of the PDF function over the entire possible range of X must be equal to 1. So, we can write the following integral to solve for

A:(∫f(x) dx) from 0 to π/2=∫A sin(x) dx= A [-cos(x)] evaluated at π/2 and 0= -A(cos(π/2) - cos(0))= A (1 - 0) =1. Therefore, the value of the constant A is 1. b. The CDF of the given random variable X is given as follows:

F(x)=∫f(x)dx from 0 to x, for 0 < x < π/2=∫sin(x) dx from 0 to x= [-cos(x)] evaluated at x and 0= -cos(x) - (-cos(0))= 1 - cos(x) for 0 < x < π/2=1 for x ≥ π/2. So, the corresponding CDF is as follows:

F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X can be obtained using the following formula:

E(X) = ∫xf(x)dx from 0 to π/2=∫x sin(x) dx from 0 to π/2= [-x cos(x)] evaluated at π/2 and 0 - ∫-cos(x) dx from 0 to π/2= -0 + cos(0) - ([-cos(x)] evaluated at π/2 and 0)= 0 + 1 - (-1)= 2. So, the expected value of the given random variable X is 2.

d. The variance of the given random variable X can be obtained using the following formula:

Var(X) = E(X²) - [E(X)]²=∫x² f(x)dx from 0 to π/2 - [E(X)]²=∫x² sin(x)dx from 0 to π/2 - (2)²= [-x² cos(x)] evaluated at π/2 and 0 + ∫2x cos(x)dx from 0 to π/2 - 4= -0 + π²/4 - 4 + (2 sin(x) + 2x cos(x)) evaluated at π/2 and 0= π²/4 - 2 - 4 + 2 + 2π= π²/4 + 2π - 6. So, the variance of the given random variable X is π²/4 + 2π - 6

Hence, the answer is: a. The value of the constant A is 1.b. The corresponding CDF is : F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6

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