Jenny wants to design a billboard to be situated on a highway. If the billboard must be readable from a distance of 15 feet, and the average car allows for a viewing angle of 60° with an eye level 4 feet, how high the top of the billboard must be from the road such that is the maximum height possible for the billboard in that viewing window? !!!!

A. 27 feet

B. 25 feet

C. 26 feet

D. 30 feet

please help!!!

Answer:

8m

Step-by-step explanation:

We can convert the trapezium into a rectangle to make finding the area easier.

Say that the top side is 9m, and that the bottom side is 12m.

12 - 9 = 3

3/2* = 1.5

*Note that we are dividing by two to get the "overhang" of the bottom side.

Now that we have our overhang, we can find the length of the "t-rect"**.

**"T-rect" refers to a rectangle that has been formed by changing a trapezium into a rectangle.

12 - 1.5 = 10.5

9 + 1.5 = 10.5

The length of the t-rect is 10.5.

84/10.5 = 8

The height of the t-rect is 8m.

Since the height of the original trapezium is equal to the height of the t-rect***,

***Since we have only adjusted the length

this also means that 8m would also be the height of the original trapezium.

Now, there is a second way of doing this.

Find the median of 12 and 9.

9, 10, 11, 12

10, 11

The median is 10.5.

84/10.5 = 8

You get the same answer. These methods could be used as a solve-then-check method to another problem like these.

Hope this helps. Have a nice day.

Answer:

\(\boxed {12x + 2}\)

Step-by-step explanation:

Solve the following expression:

\(4(3x + 2) - 6\)

-Use Distributive Property:

\(4(3x + 2) - 6\)

\(12x + 8 - 6\)

-Combine like terms:

\(12x + 8 - 6\)

\(\boxed {12x + 2}\)

Answer:

\(12x+2\)

Step-by-step explanation:

The first step is to distribute the 4 to the parenthesis. This turns the equation into:

\((12x+8)-6\)

We can remove the parenthesis now. Also, now we combine like terms. There are no other variables in the equation, so we leave the 12x alone. Combine the +8 and the -6 to get +2. This leaves the equation at:

\(12x+2\)

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Question

What is the diameter of 11.94 cm circumference

Answer:

Soln,

We know that  diameter = * 2 radius

radius = 11.94/2= 5.97 half of diameter and when you multiply with 2 ,Then it comes 11.94cm  

Now

Step-by-step explanation

Circumference = 2πr

11.94 = 2*22/7*r

11.94 = 6.28r

r= 11.94/6.28

therefore, r= 1.90 cm

Now

We know that  diameter = * 2 radius

diameter = 1.90*2 = 3.80 cm

answer checking,

Circumference = 2πr

c= 2*22/7*1.90

therefore c = 11.94 cm

ans proved

plz mark me brainliest and thanks

have a good day ahead ; )

the solution of the given rational equation is x = -1/7, which means the value of x is equal to negative one by seven when the equation is true.

Given Rational Equation

:

$\frac{4x - 1}{12} = \frac{11}{12} x$

We have to solve the above rational equation.So, let's solve it.

First of all, we will multiply each term of the equation by the LCD (Lowest Common Denominator), in order to remove

fractions from the equation.So, the LCD is 12

.Now, multiply 12 with each term of the equation.

$12 × \frac{4x - 1}{12} = 12 × \frac{11}{12}x$

Simplify the above equation by canceling out the denominator on LHS

.4x - 1 = 11x

Solve the above equation for x

Subtract 4x from both sides of the equation.-1 = 7x

Divide each term by 7 in order to isolate x. $x = -\frac{1}{7}$

Hence, the solution of the given rational equation is x = -1/7, which means the value of x is equal to negative one by seven when the equation is true.

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The solution to the rational equation is \($x = 3$\).

To solve the rational equation \($\frac{4x - 1}{12} = \frac{11}{12}$\) for \($x$\), we can follow these steps:

1. Start by multiplying both sides of the equation by 12 to eliminate the denominator: \($(12) \cdot \frac{4x - 1}{12} = (12) \cdot \frac{11}{12}$\).

2. Simplify the equation: \($4x - 1 = 11$\).

3. Add 1 to both sides of the equation to isolate the variable term: \($4x - 1 + 1 = 11 + 1$\).

4. Simplify further: \($4x = 12$\).

5. Divide both sides of the equation by 4 to solve for \($x$\): \($\frac{4x}{4} = \frac{12}{4}$\).

6. Simplify the equation: \($x = 3$\).

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Answer:

B) ΔGRS ≈ ΔART by SAS Similarity

Step-by-step explanation:

So we know that the number x is multiplied by 4, and then is bigger then itself by 45, so so lets set up this equation.

4x = x + 45

The 4x is our x multiplied by 4 and the x + 45 is when it exceeds itself by 45.

Now lets solve:

4x = x + 45

Bring x to one side to isolate the variable:

4x - x = 45

3x = 45

Now we divide the 3 from the 3x in order to fully isolate the variable:

x = 45 / 3

x = 15

Lets plug 15 in to double check the answer:

4(15) = 15 + 45

60 = 60

Yes!

This means that 15 is the number multiplied by 4 and exceeded by 45.

I hope this helps! :)

Answer: 14

Step-by-step explanation:

1 4/1 is 4 because 1 times 4/1 is 4

1 and 5/2 is basically 3.5 and

4 times 3.5 is 14

Answer:14

Step-by-step explanation:

1 4/1 is 4 because 1 times 4/1 is 4

1 and 5/2 is basically 3.5 and

4 times 3.5 is 14

The equation of the circle with the new point will be x² + ( y - 2 )² = 16.

The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the outer trace.

Given that:-

The equation of the circle will be formed as:-

We know that the general form of the circle is given as

( x - h )² + ( y - k )² = r²,

where ( h, k ) is the centre and r is the radius. When the circle is shifted 2 units up it means that now its centre will be ( 0, 2). So the equation will be:-

x² + ( y - 2 )² = 16

Therefore the equation of the circle with the new point will be x² + ( y - 2 )² = 16.

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Answer:

Step-by-step explanation:

Notice that the dividend has tree terms with , , c

Now, to divided our dividend by the monomial (single term) , the easiest thing to do is divide each term of the dividend by the monomial:

÷ =

After performing the division we get that now and

We can conclude that the correct answer is a = 2y and b = –3

The divergence of the vector field \(\( \mathbf{F}(x,y,z) \)\)is:

\(\(\text{div}(\mathbf{F}) = y^2z^2 + x^2z^2 + 2x^2y\).\)

To find the curl of the vector field\(\( \mathbf{F}(x,y,z) = xy^2z^2\mathbf{i} + x^2yz^2\mathbf{j} + x^2y^2\mathbf{k} \),\) we need to compute the cross product of the gradient operator \((\(\nabla\))\) with the vector field. The curl of a vector field is given by:

\(\(\text{curl}(\mathbf{F}) = \nabla \times \mathbf{F}\).\)

Using the formula for the curl, we can compute each component of the curl:

\(\(\frac{\partial}{\partial x} (x^2y^2z^2) - \frac{\partial}{\partial z} (x^2yz^2)\)\)for the \(x)-component,

\(\(\frac{\partial}{\partial z} (xy^2z^2) - \frac{\partial}{\partial y} (x^2y^2z^2)\)\)for the (y)-component,

\(\(\frac{\partial}{\partial y} (x^2yz^2) - \frac{\partial}{\partial x} (xy^2z^2)\)\) for the (z)-component.

Calculating each partial derivative, we get:

\(\(\frac{\partial}{\partial x} (x^2y^2z^2) = 2xy^2z^2\),\\\(\frac{\partial}{\partial z} (x^2yz^2) = 2x^2yz\),\\\(\frac{\partial}{\partial z} (xy^2z^2) = 2xyz^2\),\\\(\frac{\partial}{\partial y} (x^2y^2z^2) = 2x^2yz\),\\\(\frac{\partial}{\partial y} (x^2yz^2) = x^2z^2\),\\\(\frac{\partial}{\partial x} (xy^2z^2) = y^2z^2\).\)

Now, we can substitute these results into the components of the curl:

\(\(\text{curl}(\mathbf{F}) = (2xy^2z^2 - 2x^2yz)\mathbf{i} + (2x^2yz - x^2z^2)\mathbf{j} + (x^2z^2 - y^2z^2)\mathbf{k}\).\)

Therefore, the curl of the vector field \(\( \mathbf{F}(x,y,z) \)\) is:

\(\(\text{curl}(\mathbf{F}) = (2xy^2z^2 - 2x^2yz)\mathbf{i} + (2x^2yz - x^2z^2)\mathbf{j} + (x^2z^2 - y^2z^2)\mathbf{k}\).\)

To find the divergence of the vector field\(\( \mathbf{F}(x,y,z) \)\), we need to compute the dot product of the gradient operator\((\(\nabla\))\)with the vector field. The divergence of a vector field is given by:

\(\(\text{div}(\mathbf{F}) = \nabla \cdot \mathbf{F}\).\)

Using the formula for the divergence, we can compute it as:

\(\(\frac{\partial}{\partial x} (xy^2z^2) + \frac{\partial}{\partial y} (x^2yz^2) + \frac{\partial}{\partial z} (x^2y^2)\).\)

Calculating each partial derivative, we get:

\(\(\frac{\partial}{\partial x} (xy^2z^2) = y^2z^2\),\\\(\frac{\partial}{\partial y} (x^2yz^2) = x^2z^2\),\\\(\frac{\partial}{\partial z} (x^2y^2) = 2x^2y\).\)

Now, we can substitute these results into the divergence expression:

\(\(\text{div}(\mathbf{F}) = y^2z^2 + x^2z^2 + 2x^2y\).\)

Therefore, the divergence of the vector field \(\( \mathbf{F}(x,y,z) \)\)is:

\(\(\text{div}(\mathbf{F}) = y^2z^2 + x^2z^2 + 2x^2y\).\)

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Devin has 8 candies.

Norman has four less than triple the amount of candy Devin has. Let's denote the number of candies Devin has as 'x'. Therefore, the number of candies Norman has can be expressed as 3x - 4.

We are given that Norman has twenty candies. Plugging this information into the expression we derived earlier, we can set up the equation 3x - 4 = 20.

To find the value of 'x', we need to solve this equation. It can start by isolating the variable term by adding 4 to both sides of the equation:

3x - 4 + 4 = 20 + 4

Simplifying the equation, we have:

3x = 24

Next, solve for 'x' by dividing both sides of the equation by 3:

3x/3 = 24/3

Simplifying further,  get:

x = 8

Therefore, Devin has 8 candies.

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Answer:

high chance tat it is 405/88. mixed farction = 4 53/88

Step-by-step explanation:

The expected total prize money is $2p/q.

Given that,

You participate as a participant in a game show and respond to questions. You receive $1 for each correct response, and you are disqualified if you first provide two consecutive inaccurate answers. You can answer properly with probability p or wrongly with probability q. Each question stands alone.

Let,

The probability of correctly answering a question is = p

The probability of incorrectly answering a question is = q

The number of failures after which you are eliminated is = 2

Let r = 2 =  No. of failures and

Let q = The probability of failure in a single question

Now, the number of questions that you will attempt will follow a negative binomial distribution whose parameters are r and q.

The expected value of a negative binomial distribution is given by

E[X] = r/q

So, the expected number of questions that you will attempt is = r/q = 2/q

Out of 2/q questions, the expected number of correct questions is = 2p/q

So, the expected total prize money is $2p/q.

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Answer:

-2r+8

Step-by-step explanation:

4r-7r+8+r

5r-7r+8

-2r+8

-2r+8

The first step is to combine like terms. These would be 4r, -7r, and r since they have the same variable. This gives you -2r. Since there are no other like terms to combine, you end up with -2r+8

Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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Answer:

Y9 x4

Step-by-step explanation:

Each arrow points up from a y of 5 and an x of 0. They end at a y of 9 and an x of 4.

Answer:

desculpe pela resposta, estou tendo que fazer isso pois quero acumular pontos para poder ajudar meu irmão autista, pode comentar coisas aleatórias nas minhas perguntas se quiser tbm:( me desculpe mesmo eu até pesquisei no g0gl3 mais não achei nada sorry sorry

is there a picture to the leaf

Answer:

-0.875 that is the answer

Step-by-step explanation:

(1/8)-1=-0.875 that's the answer

The value of b is 3.

The value of c is 1/8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 5 = 9 is an equation.

We have,

Two equations given are:

b = 24c ____(1)

(1/4)b + 4c = 5/4 _____(2)

Putting (1) in (2) we get,

(1/4)24c + 4c = 5/4

6c + 4c = 5/4

10c = 5/4

c = 5/40

c = 1/8

Putting c = 1/8 in (1) we get,

b = 24/8

b = 3

Thus,

b = 3.

c = 1/8.

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The correct expression to solve for the amount of time it takes to drain the hot tub is: A) (9t - 9)(5t - 7)

In Mathematics and Geometry, the general form of a quadratic function can be modeled and represented by using the following quadratic equation;

y = ax² + bx + c

Where:

By using the sum-product pattern, we have the following:

45t² − 108t + 63

45t² − 63t - 45t + 63

By writing the common factor from the two pairs, we have the following:

(45t² − 63t) - (45t + 63)

9t(5t - 7) - 9(5t - 7)

By rewriting in factored form, we have the following:

(9t - 9)(5t - 7)

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Answer:

Answer:

The answer is d.) 4^18

Answer:

45 is the father's age

Step-by-step explanation:

Answer:

\(17.3\:\mathrm{m^2}\)

Step-by-step explanation:

Solution 1:

As the angles are marked, the figure forms a 30-60-90 right triangle with the height. Therefore the height will be  \(\frac{4}{2}\cdot\sqrt{3}=2\sqrt{3}\). The area of this figure can be given as \(b\cdot h\), therefore our answer is \(5\cdot 2\sqrt{3}\approx \fbox{$17.3$}\).

Solution 2:

The figure forms two triangles when cut by the shortest diagonal. The area of a triangle can be given by \(\frac{1}{2}ab\sin C\). Since there are 2 of these triangles, the area of the entire figure is \(2\cdot\frac{1}{2}\cdot4\cdot 5\cdot \sin 60^{\circ}\approx \fbox{$17.3$}\).

Answer:

Step-by-step explanation:

You first have to find 6% of 35. Which is 2.1 and so you then multiply 2.1×3 which is 6.3 and then subtract 6.3 from 35. 35-6.3 which is 28.7 and then divide that by 3. Which is essentially 9.6 if you round up the decimal. Otherwise it'd just be 9.566667. So, I'd say each is 9.6 or 10 if you're rounding for the nearest whole number.

Answer:

its $10.90

Step-by-step explanation: i did this and got it correct

No, lecture notes collected during a bachelor degree study are not a type of date. Lecture notes are a collection of the notes taken by a student during the lectures in the course of their bachelor degree study.

They are not the same as dates, which are the specified days on which something happens or is planned to happen. Lecture notes are usually written in the form of summaries of a lecture, which are usually made up of the important points that the student has noted down during the lecture.

They may also include diagrams, equations, and other visual aids that the student has used to illustrate the material covered. Lecture notes are not the same as dates, as they are not related to any specified days. They are simply summaries of the lecture topics discussed by the professor in the course of the student’s bachelor degree study.

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Fauvist artists extended the visual vocabulary of Post-Impressionism by making their primary subject matter Color

Fauvist artists, a group of early 20th-century painters, indeed extended the visual vocabulary of Post-Impressionism primarily through their innovative use of color. The Fauvist movement emerged in France in the early 1900s and was characterized by bold, vibrant colors and expressive brushwork.

Prior to the Fauvists, Post-Impressionist painters, such as Vincent van Gogh and Paul Cézanne, had already begun to break away from the naturalistic color palette of Impressionism. They explored new ways of using color to convey emotion and form, but it was the Fauvists who took this exploration to new levels.

Fauvist artists, including Henri Matisse, André Derain, and Raoul Dufy, embraced intense, non-naturalistic colors. They used bold, contrasting hues that were often unrelated to the actual appearance of their subjects. This departure from traditional color usage was a radical departure from the subdued, more subdued palettes of earlier movements.

By focusing on color as their primary subject matter, the Fauvists aimed to evoke powerful emotional responses from the viewers. They believed that color had the ability to express emotions and convey meaning on its own, without being limited to realistic representations of objects. Instead of relying on naturalistic color schemes, they used vivid and arbitrary colors to create a sense of energy and vitality.

The Fauvists also liberated color from its traditional role as a means to depict light and shadow. They applied colors freely and spontaneously, often using broad brushstrokes, without concern for accurate representation. This allowed them to create highly expressive and subjective interpretations of their subjects, whether they were landscapes, portraits, or still lifes.

In summary, Fauvist artists extended the visual vocabulary of Post-Impressionism primarily through their revolutionary use of color. By breaking away from the naturalistic color palette and embracing bold, vibrant hues, they explored the expressive potential of color itself, going beyond traditional notions of representation. Their approach opened up new avenues for artistic expression and paved the way for further experiments in color by future generations of artists.

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Answer:

130 birds

Step-by-step explanation:

\(80( {1.05}^{10} ) = 130.3\)

So there are 130 birds.

Answer:

the associative property

Step-by-step explanation:

the associative property allows the numbers to add regardless of how you group the numbers