Dennis made an extra $245.00 for selling furniture. The extra $245.00 was 7% of the total value of the furniture he sold. What was the total value of the furniture Dennis sold?

Image has the answer for part A.

Part B)

47.9 degrees

Step-by-step explanation:

Pythagoras: a^2+b^2=c^2

36²+36²=C²

√2592=C

C=50.9cm

Used Trigonometry: SOH CAH TOA

Tan=Opposite/Adjacent

Tan=60/50.9

The angle stick makes when it meets the base: Tan^-1(60/50.9)

=49.7˚

The solution is, The angle stick makes when it meets the base is, 47.9 degrees.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

Pythagoras: a^2+b^2=c^2

36²+36²=C²

√2592=C

C=50.9cm

Used Trigonometry: SOH CAH TOA

Tan=Opposite/Adjacent

Tan=60/50.9

The angle stick makes when it meets the base:

Tan^-1(60/50.9)

=49.7˚

Hence, The solution is, The angle stick makes when it meets the base is, 47.9 degrees.

To learn more on Pythagorean theorem click:

brainly.com/question/24302120

#SPJ2

A computer password is required to be 7 characters long.

Note the requirements:

   Repetition of letter or digit is not allowed.

   The order of the letters and digits matters.

Because of that, permutation would be the most suitable way to count the number of possibilities.

There are [tex]P(26,3) = \frac{26!}{(26-3)!} = 26x25x24 = 15,600[/tex] ways to arrange three out of distinct letters (without replacement.)

Similarly, there are [tex]P(10,4) = \frac{10!}{(10-4)!} = 10x9x8x7 = 5,040[/tex] ways to arrange four out of distinct numbers (also without replacement.)

Therefore, there are 15,600 possibilities for the three-letter section of this password, and 5,040 possibilities for the four-digit section. What if these two parts are combined?

Consider: if the first three letters of the password were fixed, then there would be 5,040 possibilities. However, if any of the first three letters was changed, the result would be another 5,040 possibilities, all of which are different from the previous 5,400 possibilities. These two three-letter sections along will give 2 x 5,400 possibilities. Since there are 15,600 three-letter sections like that, there would be 15,600 x 5,400 = 78,624,000 possible passwords in total. That gives the number of possible passwords that satisfy these requirements.

To learn more about possibilities click here https://brainly.com/question/25870256

#SPJ4

The formula for the final cost, in terms of the original price y, is:

c(y) = y*(0.88)*(1.03)

Let's define y as the original price of the DVD.

We first apply a discount of the 12% of the price, so the new cost will be:

c(y) = y*(1 - 12%/100%)

c(y) = y*(1 - 0.12)

Then we apply a tax of the 3%, this in increase, then we can write this as:

c(y) = y*(1 - 0.12)*(1 + 3%/100%)

c(y) = y*(1 - 0.12)*(1  + 0.03)

c(y) = y*(0.88)*(1.03)

That is the formula that we could use to determine the final cost.

Learn more about discounts:

https://brainly.com/question/7459025

#SPJ1

After solving, the value of x is 8 and the value of y is 9.

In the given question,

We have to find the value of x and y.

It is also given that the given quadrilateral is a parallelogram.

Since the given quadrilateral is a parallelogram so the opposite sides and opposite angles are equal to each other.

So 4x−17=2x−1......................(1)

5y−13=3y+5...............(2)

Simplifying equation 1 to find the value of x

4x−17=2x−1

Add 17 on both side

4x−17+17=2x−1+17

Simplifying

4x=2x+16

Subtract 2x on both side

4x−2x=2x+16−2x

Simplifying

2x=16

Divide by 2 on both side

2/2 x = 16/2

x=8

Hence, the value of x is 8.

Now finding the value of y by solving the equation 2

5y−13=3y+5

Add 13 on both side

5y−13+13=3y+5+13

Simplifying

5y=3y+18

Subtract 3y on both side

5y−3y=3y+18−3y

2y=18

Divide by 2 on both side

2/2 y=18/2

y=9

Hence, the value of y is 9.

To learn more about parallelogram link is here

brainly.com/question/1563728

#SPJ1

4.5 hours more will it take for Naomi and Claire to have painted the same number of square feet.

Let the time taken for them to paint equal areas be x hrs.

Naomi  = 2x + 16.5

Clair  = 4x + 7.5

Naomi's area = Clair's area

This is :

2x + 16.5 = 4x + 7.5

4x - 2x = 16.5 -7.5

2x = 9

x = 4.5 hours

Therefore 4.5 hours more will it take for Naomi and Claire to have painted the same number of square feet.

Learn more about the equal areas here:

https://brainly.com/question/12193388

#SPJ1

This means that the answer is D.

In everyday speech, the term "probability" refers to the likelihood that a specific event (or set of events) will take place, expressed as a number between 0 and 100% or as a linear scale from 0 (impossibility) to 1 (certainty). Statistics is the study of occurrences that follow a probability distribution.

The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

According to the given question:-

Even though there aren't any actual options for this question, figuring out the right response should be simple. The quantity of numbers that will be listed is the "probability of success" that is being discussed here. We simply need to select the option with 8 of the 10 mentioned numbers since an 80% likelihood is what is being sought. This indicates that the solution is D. Hope this is useful!

To learn more about probability click the following link :-

https://brainly.com/question/4657032

#SPJ4

Answer:

Step-by-step explanation:

The major thing that Ryan should be worried about is the C) high annual depreciation.

Normally, when we buy cars they have so much value but when the cars start being used more often, they tend to depreciate in value due to wear and tear and second value of the product. This tells us that when a car is driven for more miles in a year, it will depreciate greatly.

We are told that Ryan plans to drive about 40 miles to work and back everyday which means that in a year he would have driven thousands of miles. This will lead to a high depreciation.

Thus, we can conclude that the most important thing that Ryan should be worried about when purchasing this old hatchback is the high depreciation.

Read more about financial choice at; https://brainly.com/question/9179249

#SPJ1

Answer:

Step-by-step explanation:

Firstly, you would need to have someone teach you unless you don't then I'm sure there are courses online and to be excellent at it, practice a lot of questions and do diagnostic questions for each topic.

Answer:

[tex]x = 3[/tex] [tex]y = 4[/tex]         [tex]x = -\frac{7}{5}[/tex] [tex]y = -\frac{24}{5}[/tex]

Step-by-step explanation:

y = 2x - 2

substitute y with 2x - 2 in the other equation

[tex]x^{2} +y^{2} = 25[/tex]

[tex]x^{2} +(2x-2)^{2} = 25[/tex]

[tex]x^{2} + 4x^{2} -4x-4x+4 = 25[/tex]

[tex]5x^{2} -8x+4=25[/tex]

[tex]5x^{2} -8x-21=0[/tex]

Use the quadratic equation to solve

[tex]\frac{-b(+-)\sqrt{b^{2}-4ac }}{2a}[/tex]

[tex]a = 5\\b = -8 \\c = -21[/tex]

[tex]\frac{-(-8)(+-)\sqrt{(-8)^{2}-4(5)(-21) }}{2(5)}[/tex]

[tex]\frac{8(+-)\sqrt{64-(-420) }}{10}[/tex]

[tex]\frac{8+\sqrt{484 }}{10}[/tex]          [tex]\frac{8-\sqrt{484 }}{10}[/tex]

[tex]x[/tex] = [tex]3[/tex]           [tex]x[/tex] = [tex]-\frac{7}{5}[/tex]

Now use these values of x in the other equation to find two values of y

y = 2x - 2                  y = 2x - 2

y = 2(3) - 2                y = 2(-7/5) - 2

y = 4                         y = - (24/5)

Answer:

A= 115 degrees.

B= 45 degrees.

C= 115 degrees.

D= 115 degrees.

E= 110 degrees.

Tip: Angles opposite each other- like C and D- are going to be equal.

Step-by-step explanation:

Answer:

80y-24z

Step-by-step explanation:

Answer:

x=5+1/2

Step-by-step explanation:

3(2x-5)-2x=7

We move all terms to the left:

3(2x-5)-2x-(7)=0

We add all the numbers together, and all the variables

-2x+3(2x-5)-7=0

We multiply parentheses

-2x+6x-15-7=0

We add all the numbers together, and all the variables

4x-22=0

We move all terms containing x to the left, all other terms to the right

4x=22

x=22/4

x=5+1/2

Step-by-step explanation:

3(2x-5)-2x=7

We move all terms to the left:

3(2x-5)-2x-(7)=0

We add all the numbers together, and all the variables

-2x+3(2x-5)-7=0

We multiply parentheses

-2x+6x-15-7=0

We add all the numbers together, and all the variables

4x-22=0

We move all terms containing x to the left, all other terms to the right

4x=22

x=22/4

x=5+1/2

Answer:

Area of a triangle

Step-by-step explanation:

Area of a triangle = (1/2)(b)(h)

Answer: It is used to find the area of a triangle

Answer: f(9)=21

Step-by-step explanation:

replace x with 9 i think for 2(9)+3 then solve lol

The value of the number is -8

From the question, we have the following statement that can be used in our computation:

5 less than three fourths of a number is one forth of number decreased

by 9

Represent the number with x

So, we have the following equation

3/4x - 5 = 1/4x - 9

Evaluate the like terms

2/4x = -4

This gives

1/2x = -4

Solve for x

x = -8

Hence, the number is -8

Read more about expressions at

https://brainly.com/question/4344214

#SPJ1

As we already found, the probability of winning for any selection is 1/3 = 0.333.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

a) Let's suppose that player 1 chooses rock, and the selection of player 2 can be thought of as random.

If player 2 randomly selects rock, the result of the game is a draw.

if player 2 randomly selects papers, player 1 loses.

if player 2 randomly selects scissors, player 1 win.

Then we have 3 options with the same probability, that will be:

1/3

This is, the probability of winning is equal to the quotient between the number of outcomes that make player one win (1, in this case, scissors) and the total number of outcomes (3) = 1/3

the probability of a draw is equal to the quotient between the number of outcomes that make a draw (1, in this case, rock) and the total number of outcomes (3) = 1/3

The probability of losing is equal to the quotient between the number of outcomes that make player one lose (1, in this case, paper) and the total number of outcomes (3) = 1/3

The complete question is given below.

2. Almost everyone has played the rock-paper-scissors game at some point. Two players face each

other and, at the count of 3, make a fist (rock), an extended hand, palm side down (paper), or a

"V" with the index finger and middle fingers (scissors). The winner is determined by these rules:

rock smashes scissors, paper covers rock, and scissors cut paper. If both players choose the

same object, then the game is a tie. Suppose that Player 1 and Player 2 are both equally likely to

Choose rock, paper, or scissors.

a) Give a probability model for this change process.

b) Find the probability that Player 1 wins the game on the first throw.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ2

Inequality that represents this statement is -90 < -62

Hence, the if on the horizontal number line, -62 is located to the right of

-90. The inequality that represents this statement is -90 < -62

To learn more about inequality, refer to

https://brainly.com/question/25275758

#SPJ1

Answer:

[tex]7x+4[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](11x-4x)+(6-2)[/tex]

2) Simplify.

[tex]7x+4[/tex]

Thanks!

Answer:

7x + 4

Step-by-step explanation:

11x + 6 -4x -2 Combine like terms

7x + 4

One solution:
y = 3x+2
y=2x+4

No solution:
y=3x+2
y=3x+1

Infinitely:
y=2x+4
y=4x+8

Answer:

One solution: x + 3 = 2x

No solution: x + 3 = x

Infinitely many solutions: x + 3 = 2 ( 0.5x + 1.5 )

Step-by-step explanation:

1 ) x + 3 = 2x

x = 3

2 ) x + 3 = x

No Solution...

3 ) x + 3 = 2 ( 0.5x + 1.5 )

[tex]x[/tex] ∈ [tex]R[/tex]

Hope this helps! :)

The slope of the line which is perpendicular to the given line 3x+18y=108 is (6).

We already know the equation of a line in slope intercept form y = mx + b and we also know that perpendicular lines that have slopes which are negative reciprocals of each other.

Given a line 13x + 18y=108, this slope intercept form can be written as,

3x + 18y = 108

18y = 108 - 3x

y = (108 /18) - (3/18)x.

y = (6) - 1x/6.

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

Hence the slope of the given line is (-1/6), thus the slope of the line which is perpendicular is (6).

To learn more about slope click here https://brainly.com/question/16949303

#SPJ4

Answer: Each person had 3.75 pounds of apples

Step-by-step explanation:

15= 4a (a=how many pounds of apples each person owns)

15/4=a

3.75=a

Answer:

1

Step-by-step explanation:

anything to the power of 0 is 1

Answer:

1

Step-by-step explanation:

The sample size would be about 1,000.

acc to our question-

hence,The sample size would be about 1,000.

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ4

Explanation:

You want to show AL≅AM in the given figure.

1. AB≅AC . . . . given

2. ∠1≅∠3 . . . . given

3. ∆ABC is isosceles . . . . definition of isosceles triangle

4. ∠B≅∠C . . . . base angles are congruent in an isosceles triangle

5. ΔLBA≅ΔMCA . . . . ASA congruence postulate

6. AL≅AM . . . . CPCTC

The answer will be, at least as small as that provided by the sample using p-value.

What is the p-value?

Under the premise that the null hypothesis is true, the p-value in null-hypothesis significance testing represents the likelihood of receiving test findings that are at least as extreme as the result actually observed. A severe observed outcome would be highly improbable under the null hypothesis, according to a very small p-value. In academic papers of many quantitative fields, reporting the p-values of statistical tests is standard practice. Misuse of p-value is common and has been a big concern in metascience due to its difficult-to-understand precise meaning.

The probability that a population parameter in a particular statistical model will be less than a given value when the null hypothesis is true is known as the p-value,

And that is also known as a probability value or a measure of significance.

Hence the probability is, at least as small as that provided by the sample using p-value.

Learn more about p-value, by the following link.

https://brainly.com/question/4621112

#SPJ4

The value of f(4) = 0 by the given graph.

What is graph?

The graph is a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

Given graph is a straight line, and the equation of a line is given as

y =mx+b

where,

m is the slope,

y is the dependent variable,

we can write it as

f(x)= mx +b

The coordinates are (4,0) and (0,2)

m = 2-0/0-4

m = -1/2

y = -1/2 x +b

we can see the line intersect the y-axis at 0,2

b =2

y = -1/2 x +2

at x =4

f(4) = -2+2=0

Hence, the value of f(4) = 0 in the given graph.

To know more about the graph, visit:

brainly.com/question/6320133

#SPJ1

The surface area of the cone in terms of [tex]\pi[/tex] is, [tex]95\pi cm^2[/tex].

What is cone?

A cone is a smooth-tapering three-dimensional geometric object with a flat base and an apex or vertex. The base of a cone is made up of all the points on a plane other than the apex, and the apex is connected to all the other points on the base by a series of line segments, half-lines, or lines.

In the given figure, the side length of cone is, 14 cm, and the diameter of the base is 10 cm.

As diameter is 10 cm then radius = 10/2 = 5 cm.

The surface area of the cone is.

SA = [tex]SA = \pi r^2 + \pi rl\\SA = \pi (5)^2+\pi (5)(14)\\SA = 25\pi + 70\pi \\SA = 95\pi cm^2[/tex]

Therefore, the surface area of the cone is, [tex]95\pi cm^2[/tex].

To know more about the cone, click on the link

https://brainly.com/question/1082469

#SPJ1

The distance between the two cars  after three hours is 300 km

Cars a and b leave town at the same time.

The speed of the car that went to south = 80 km/hour

The total distance traveled in three hours = 80 × 3

= 240 km

The speed of the car that went to the west = 60 km/hour

The  total distance traveled in three hours = 60 × 3

= 180 km

The distance between the two car is the hypotenuse of the right triangle

The distance between the two cars after three hours = [tex]\sqrt{240^2+180^2}[/tex]

= [tex]\sqrt{57600+32400}[/tex]

= [tex]\sqrt{90000}[/tex]

= 300 km

Hence, the distance between the two cars  after three hours is 300 km

Learn more about distance here

brainly.com/question/16818240

#SPJ4

Answer:

Step-by-step explanation:

your mom

The area of triangle is 460.89 unit square.

Given:

lengths of rod, a = 29 and b = 36 ,

angle between them (θ) = 62

We know that in a general triangle of side a,b,c and angles A,B,C ,

we can write area of triangle (Δ) is

 Δ = absinθ/2

Δ =  29*36sin62/2

Δ = 460.89 unit square.

hence, the area of triangle is 460.89 unit square.

#123

The area of the SAS triangle is 460.89 cm³.

Given data;

Side length (a) = 29

Side length (b) = 36

With an angle of Ф = 62°

Here, it is stated that the triangle is a SAS triangle which is known as the Side Angle Side triangle.

Now, to calculate the area of a given triangle, we use the formula as;

Area = a*b*sinФ/2

From the above formula;

Area of the SAS triangle = a*b*sinФ/2

                                         = [29*36*sin(62°)]/2

                                         = 460.89 cm³

Hence, the area of the SAS triangle is 460.89 cm³.

To learn more about Area click here:

brainly.com/question/27683633

#SPJ4