Can anybody answer the question I attached?

Can Anybody Answer The Question I Attached?

Answers

Answer 1

Answer:

  36 bottles

Step-by-step explanation:

You want to know the number of bottles that must be painted and sold in order to make a profit of $120, given that 3 bottles can be purchased for $11, and each bottle can be sold for $7.

Profit

The profit on each bottle is the difference between its cost and what it is sold for. The cost of 1 bottle is 1/3 of the cost of 3 bottles.

  profit = selling price - purchase price

  profit = $7/bottle - ($11/(3 bottles)) = $(21/3 -11/3)/bottle = $(10/3)/bottle

Bottles

To make a profit of $120, you need n bottles such that ...

  (10/3)n = 120

  n = 36 . . . . . . . . . multiply by 3/10

The club needs to buy, paint, and sell 36 bottles to raise $120.


Related Questions

Teboho wants to order a new CD from Germany. He has R250 in his savings account. The CD costs €5. Once he has bought the CD. how much money will he have left in ZAR? If he can order the same CD from Canada for $7, where must he order it from for the best price provided the shipment cost is the same.​

Answers

Answer: Let's assume the exchange rate between ZAR and EUR is given by E1, and the exchange rate between ZAR and CAD is given by E2.

First, let's calculate the cost of the CD in ZAR:

5 EUR * E1 = 5 * E1 ZAR

Next, let's calculate how much money Teboho will have left after purchasing the CD:

250 ZAR - 5 * E1 ZAR = 245 ZAR - 5 * E1 ZAR

Now, let's calculate the cost of the CD in CAD:

7 CAD * E2 = 7 * E2 ZAR

We need to determine the value of E1 and E2 in order to compare the prices. However, without knowing the current exchange rates, we cannot determine the best option for Teboho. If the exchange rate between ZAR and EUR is favorable and the cost of the CD in ZAR is lower than the cost of the CD in CAD, Teboho should order the CD from Germany. On the other hand, if the exchange rate between ZAR and CAD is favorable and the cost of the CD in CAD is lower than the cost of the CD in EUR, Teboho should order the CD from Canada.

Step-by-step explanation:

Hello guys. If you could help me with this one question you shall get 80 whole points!

Answers

The solution to the given problem is 25/88. The solution has been obtained by applying BODMAS rule.

What is the BODMAS rule?

The letters BODMAS stand for Bracket, Of, Division, Multiplication, Addition, and Subtraction. An explanation of a mathematical expression's execution sequence is provided by the BODMAS. According to the BODMAS rule, brackets must be answered first, then powers or roots (i.e. of), Division, Multiplication, Addition, and finally Subtraction.

We are given an expression as (3/11 + 2/11) * 5/8

Now, as per the BODMAS rule, we will first solve the brackets.

On solving the brackets, we get

5/11 * 5/8

Now, on solving it further, we get

5/11 * 5/8 = 25/88

Hence, the solution to the given problem is 25/88.

Learn more about BODMAS rule from the given link

https://brainly.com/question/29626868

#SPJ1

suppose that a lemonade recipe calls for cup of sugar for every lemons. you have lemons and cups of sugar. which ingredient is limiting? why?

Answers

The lemon are limiting ingredient  in lemonade recipe.

Here the limiting ingredient is lemon because here for 1 cup of sugar we have 1 lemon it's clearly seems that the juice of 1 lemon never melt the 1 cup of sugar that's why here limiting ingredient   is lemon.

A limiting reagent is a substance that is completely consumed upon completion of a chemical reaction. They are also called limiting agents or limiting reactants. According to the stoichiometry of a chemical reaction, a certain amount of reactants is required for the reaction to go to completion. Consider the following reactions involving the formation of ammonia.

[tex]3H_{2} +N_{2} - > 2NH_{3}[/tex]

In the above reaction, 3 moles of hydrogen gas are required to react with 1 mole of nitrogen gas to produce 2 moles of ammonia. But what if only 2 moles of hydrogen gas and 1 mole of nitrogen were available during the reaction? Not all nitrogen can be used in this case (because 3 moles of hydrogen gas are required to react all the nitrogen). Hydrogen gas is therefore called the limiting reagent for this reaction as it limits the reaction.

know more about limiting click here;

https://brainly.com/question/20070272

#SPJ4

The actual temperature of Noah's oven is 325 degrees, but his oven thermometer is reading 340 degrees. What is the percent error?

Answers

Answer:

it has an error of 15 more then the actual temperature

Step-by-step explanation:

to find the change all you have to do is just subtract 340 -325 that is 15 so if the oven was 100 it would show 115

Line p passes through points (-2, 5) and (3, 8). Line q passes through the points (-1, 4) and (4, 7). Which statements are true?

Answers

The equation of line p is y = (3/4)x + 13/2.

The equation of line q is y = (3/5)x + 23/5.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Line p passes through points (-2, 5) and (3, 8).
This means,

Slope = (8 - 5) / (3 + 2) = 3/4

m = 3/4

And,

Consider (-2, 5) = (x, y)

5 = (3/4) x -2 + c

5 = -3/2 + c

c = 5 + 3/2

c = 13/2

So,

y = (3/4)x + 13/2

Line q passes through the points (-1, 4) and (4, 7).

Slope = (7 - 4) / (4 + 1) = 3/5

m = 3/5

And,

Consider (-1, 4) = (x, y)

4 = (3/5) x (-1) + c

4 = -3/5 + c

c = 4 + 3/5

c = 23/5

So,

y = (3/5)x + 23/5

Thus,

The equation of line p is y = (3/4)x + 13/2.

The equation of line q is y = (3/5)x + 23/5.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ9

The complete question:

Find the equation of the Line p passes that passes through points (-2, 5) and (3, 8) and Line q that passes through points (-1, 4) and (4, 7).

What is the y=mx+b formula for these points: (67,67), (65,65), (63,63), (69,69), (57,57), (65,65), (68,66), (48,48), (72,72)?

Answers

Were using the following formula to determine a line's equation using two points: Assuming (x1, y1) & (x2, y2) represent two important points on the line, y2 - y1 Equals m(x2 - x1).

What is a mathematical point?

A point in mathematics is symbolized by such a dot (.) and utilized to indicate an accurate location in space. It lacks all three dimensions—length, breadth, and height. It has no size, in other terms. A point's name is often written in all caps.

A straight line is mathematically represented by the equation y=mx+b. The y-intercept, or point at which line crosses the y-axis, is denoted by the letters "b," whereas the letters "m" denote the slope of the line.

To know more about Points visit:

https://brainly.com/question/17196415

#SPJ1

$500 is deposited into a savings account that pays 7% interest compounded annually. Find the amount of money in the account after 2 years

Answers

The amount of money in the account after 2 years is $573.04.

What is compound interest?

Compound interest is the interest earned on an initial principal deposit as well as on the accumulated interest from previous periods. In other words, it is interest on interest.

To calculate the amount of money in the account after 2 years, we can use the formula for compound interest:

A = P(1 + r/n)ⁿᵗ

where A is the final amount, P is the principal amount (the initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time period (in years).

In this case, P = $500, r = 0.07 (7%), n = 1 (compounded annually), and t = 2.

Plugging these values into the formula, we get:

A = 500(1 + 0.07/1[tex])^{(1 \times 2)}[/tex]

A = 500(1.07)²

A = $573.04

Therefore, the amount of money in the account after 2 years is $573.04.

To learn more about compound interest, visit:

https://brainly.com/question/28020457

#SPJ1

if 1 over 5= 20% what is the fration equivalent to 120%

Answers

120% is equivalent to the fraction 11/5.

What are Fractions?

Fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin.  

If 1/5 = 20%, then we can convert 120% to a fraction by first dividing by 100 to get the decimal equivalent, and then adding 1 to get the fractional equivalent:

120% = 120/100 = 1.2

1.2 + 1 = 2.2

Therefore, 120% is equivalent to the fraction 11/5.

To know more about decimal visit:

https://brainly.com/question/29765582

#SPJ1

Evaluate:
1\tfrac{8}{9} \div \frac{1}{3}
1
9
8

÷
3
1


\text{State your answer as a mixed number in simplest form.}
State your answer as a mixed number in simplest form.

Answers

Answer:ez

Step-by-step explanation: blah blah blah blah

a rectangular piece of cardbord of dimensions 42 cm multiplaced by 32 is used to make a box.squares of size 6 x 6cm are cut out from all four corners.the remaining portion is folder to make a box.the inner surface of the box are painted.find the total area of the painting surfaces

Answers

The area of the rectangular piece to be painted after cutting will be 1200 cm².

What is the definition of a rectangle?

Rectangles are four-sided polygons with 90-degree internal angles. Two sides meet at right angles at each corner or vertex. The rectangle is distinguished from the square by the fact that its opposite sides are of equal length.

If one side of a rectangle is 20 cm long, the opposite side is also 20 cm long.

A rectangle has two intersecting diagonals. The length of both diagonals is the same.

The perimeter is defined as P = 2 (Length + Width).

Area of a Rectangle=Length*Breadth

Now,

Length of cardboard=42cm

breadth=32 cm

Area of cardboard=42*32=1344cm²

Area of square to be cut=6*6=36cm²

and total 4 squares are cut

Then the area of the box that is made to be painted is =1344*4*36

=1200 cm²

hence,

          The area of the rectangular piece to be painted after cutting will be 1200 cm².

To know more about rectangles visit the link

https://brainly.com/question/29123947?referrer=searchResults

#SPJ1

The measures of the exterior angles of a hexagon are x, 2x, 4x, 5x, 8x, and
10x.

Answers

The value of x in the polygon is 30

How to determine the value of x

from the question, we have the following parameters that can be used in our computation:

Exterior angles = x, 2x, 4x, 5x, 8x, and 10x.

The sum of exterior angles of a polygon is 360

Using the above as a guide, we have the following:

x + 2x + 4x + 5x + 8x + 10x = 360

Evaluate the like terms

30x = 360

So, we have

x = 12

Hence, the value of x is 12

Read more about polygons at

https://brainly.com/question/24562835

#SPJ1

a player misses only 12% of all free throw shots they take. suppose they are in a contest where they shoot free throws until they miss one. what is the probability that they take exactly 5 shots?

Answers

The probability that the player takes exactly 5 shots before missing one is approximately 0.0539, or 5.39%.

The probability of missing a free throw shot is 0.12, and the probability of making a free throw shot is 0.88 (which is 1 - 0.12).

To find the probability that the player takes exactly 5 shots before missing one, we can use the geometric distribution, which models the number of independent and identical Bernoulli trials needed to get a success.

In this case, a "success" is missing a free throw shot, and the "trials" are the number of shots the player takes before missing one. The probability of success (missing a shot) is p = 0.12, and the probability of failure (making a shot) is q = 0.88. The probability of taking exactly 5 shots before missing one is:

P(X = 5) = q^4 * p

where X is the random variable representing the number of shots the player takes before missing one.

Plugging in the values, we get:

P(X = 5) = (0.88)^4 * 0.12

= 0.0539

To learn more about probability click on,

https://brainly.com/question/20979342

#SPJ4

Identify the initial amount a and the grwoth factor b in the exponential function f(t)=14^x

Answers

The initial amount A is 1 and the growth factor B is 1.4 in the Exponential function f(t)=14^x.

Given,

f(x) = 1.4^x

It is an exponential function.

y = a.b^x

where a is the initial quantity and b is the growth/ decay component.

Now we are able to examine the given feature with

A = 1

B = 1.4

An exponential function is a mathematical function that has the form f(x) = a^x, where a is a constant greater than zero and not equal to one, and x is a variable. This function is widely used in a variety of fields, such as finance, physics, and biology, due to its ability to model growth, decay, and change over time.

Exponential functions are essential in understanding various natural phenomena, from population growth to radioactive decay, and they play a crucial role in the advancement of scientific research.The exponential function has several unique properties, such as exponential growth, where the function grows at an increasing rate as x increases. Additionally, the function has an asymptotic relationship with the x-axis, meaning it never actually touches the x-axis but gets infinitely close to it.

To learn more about Exponential function visit here:

brainly.com/question/2611012

#SPJ4

Find each percent change. Use a calculator and round answer to the nearest tenth as needed. State if it is an increase or decrease. 88 to 20.


A.22.7% decrease
B.14.2% decrease
C.77.3% decrease
D.340% decrease

Answers

well, if a value goes from 88 to 20, it clearly decreased, hmmm 88 - 20 = 68, by 68 units.

so if we take 88(origin amount) to be the 100%, what's 68 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 88 & 100\\ 68& x \end{array} \implies \cfrac{88}{68}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 22 }{ 17 } ~~=~~ \cfrac{ 100 }{ x }\implies 22x=1700\implies x=\cfrac{1700}{22}\implies x\approx 77.3[/tex]

Andy pays £12. 30 for 6 sketch pad. Jo pays £10 for 2 sketch pads and 1 book. What is the cost of the book?

Answers

After solving the expression from the given data we get that the cost of the book is £5.90.

Let's assume the cost of the book is "b" in pounds. From the information given, we can set up the following system of equations:

6x = 12.30 (Andy pays £12.30 for 6 sketch pads)

2x + b = 10 (Jo pays £10 for 2 sketch pads and 1 book). where x is the cost of one sketch pad in pounds. Solving the first equation for x, we get: x = 12.30/6 = 2.05

Substituting this value of x into the second equation, we get: 2(2.05) + b = 10

Simplifying this equation, we get: 4.10 + b = 10

Solving for b, we get: b = 5.90

Therefore, the cost of the book is £5.90.

To learn more about equation click here

brainly.com/question/22277991

#SPJ4

The vector u has length 10 and points at an angle of 5°
The vector has length 16 and points at an angle of 25°

Answers

The dot product between u and v is 150.35 units²

What is dot product

In the problem given;

u = 10cos5

v = 16cos25

To find the dot product of two vectors, we need to find the product of the magnitude of the vectors and the cosine of the angle between them. Let's call the angle between the vectors θ.

The dot product of u and v is given by:

u•v = |u| * |v| * cos(θ)

where |u| and |v| are the magnitudes of vectors u and v. We are given the magnitudes of the vectors, which are |u| = 10 and |v| = 16.

To find cos(θ), we need to use the dot product formula with the given angle values:

cos(θ) = (u•v) / (|u| * |v|) = (|u| * |v| * cos(θ)) / (|u| * |v|)

Since u and v are both vectors in 2-dimensional space, we can use the law of cosines to find the angle between them:

cos(θ) = (u•v) / (|u| * |v|) = (u1 * v1 + u2 * v2) / (|u| * |v|)

where u1 and u2 are the components of vector u and v1 and v2 are the components of vector v.

To find the components of the vectors, we need to use the given angle values and the magnitudes of the vectors:

u1 = |u| * cos(5°) = 10 * cos(5°)

u2 = |u| * sin(5°) = 10 * sin(5°)

v1 = |v| * cos(25°) = 16 * cos(25°)

v2 = |v| * sin(25°) = 16 * sin(25°)

Substituting these values into the formula for cos(θ), we get:

cos(θ) = (u1 * v1 + u2 * v2) / (|u| * |v|) = (10 * cos(5°) * 16 * cos(25°) + 10 * sin(5°) * 16 * sin(25°)) / (10 * 16)

θ = 20°

u.v = 10 * 16 * cos 20

u.v = 150.35

Learn more on dot product here;

https://brainly.com/question/4845167

#SPJ1

After polling a group of 48 students, you find that 36 students play the
piano and 20 students play the guitar. Given that information, what is
the number of students in the group who must play both the piano and
guitar?

Answers

Answer:

6 students must play both piano and guitar

Find an expression, in terms of h, for the height of the frustum.

Answers

Answer:

  height = 2/5h

Step-by-step explanation:

You want the height of a frustum if the volume of the frustum is 98/125 times the volume of the original cone, which was of height h.

Removed part

Let h' represent the height of the part of the cone that is removed to leave the frustum. Then its volume (v') is ...

  v' = (volume of large cone)(1 - 98/125) = v·(27/125)

The scale factor between h' and h is ...

  (h'/h)³ = v'/v = 27/125

  h'/h = ∛(27/125) = 3/5

Frustum

The height of the frustum in terms of the height of the original cone is ...

  frustum height = (height of large cone) - (height of small cone)

  frustum height = h - (3/5)h

  frustum height = 2/5h

<95141404393>

“The product of r and s is more than 4”

Answers

Answer: rs>4

Step-by-step explanation: The product of r and s just means rs. Then, when it says more than, you know its going to be a greater than sign: >. So your inequality would be rs>4

What is the area of the following composite figure? All angles are right angles. 22 m 2 29 m 2 24 m 2 27 m 2

Answers

The area of the composite figure is 24m², which is option C.

What is a composite figure?

A two-dimensional figure built up of fundamental two-dimensional shapes like triangles, rectangles, circles, semicircles, etc. is known as a composite shape or composite figure. To get the area of a composite shape, first determine the individual areas of every component. The total of the individual regions will then represent the area of the composite shape.

From the figure, we can see that from a big rectangle, 4 small identical squares of side 1m are cut from each corner.

We are asked to find the area of the rest of the rectangle which makes the composite figure.

W first find the area of the original rectangle.

Its length  = 5 + 1 + 1 = 7 m

Its breadth = 2 + 1 + 1 = 4 m

So the area of the rectangle = length * breadth = 7*4 = 28 m²

Now the side length of the square = 1 m

Area of one square = 1*1 = 1m²

So are of four identical squares = 4 * 1 = 4 m²

Therefore area of the composite figure = area of big rectangle - area of 4 squares = 28 - 4 = 24m²

To learn more about composite figures, follow the link.

https://brainly.com/question/21135654

#SPJ1

Answer:

24m^2 is ur answer

Step-by-step explanation:

Hope this helps

The graph shown here is the graph of which of the following rational
functions?

Answers

The rational function on the graph is the one in options B.

f(x) = 1/(x - 1)

Which equation describes the graph?

Here we can see that the we have the graph of a rational function.

Notice that we have an asymptote  at x = 1.

That means that the denominator becomes zero when we evaluate the function in x = 1.

Then the denominator is something like:

x + a

And when x = 1 we get:

1 + a = 0

a = -1

Then the denominator is:

x - 1

And the rational function is:

f(x) = 1/(x - 1)

The correct option is B.

Learn more about rational functions at:

https://brainly.com/question/1851758

#SPJ1

To convert 640 L to cL, you would move the decimal point _____ places to the _____

Answers

To convert 640 L to cL, you would move the decimal point 4 places to the right. So the answer is 640 L = 64,000 cL.

Converting units is a common task in science, engineering, and everyday life. The conversion factor between liters (L) and centiliters (cL) is 1 L = 100 cL. To convert a quantity from liters to centiliters, you can multiply the number of liters by 100 or move the decimal point two places to the right. In this case, we have 640 L. To convert this to centiliters, we need to multiply 640 by 100, or move the decimal point two places to the right. Since there are two digits after the decimal point in 640, we can simply move the decimal point four places to the right to get 64,000 cL. Therefore, 640 L is equal to 64,000 cL.

Learn more about decimals here: brainly.com/question/29765582

#SPJ4

Write 1/x-3/6 in simplest radical form show steps

Answers

Answer:

(36 - 18x) / x√(36x^2)

Step-by-step explanation:

I assume that the expression is:

1/x - 3/6

To simplify the expression and put it in the simplest radical form, we need to find a common denominator for the two terms. In this case, the least common multiple (LCM) of the denominators is 6x. Thus, we can rewrite the expression as:

(6/x) / (6x/6) - (3/6) / (6x/6)

Simplifying the above expression gives:

(6/x) / (x/6) - (3/6) / (x/6)

(6/x) * (6/x-3) / (x/6)

Simplifying the expression further gives:

(36/x^2 - 18/x) / (x/6)

We can simplify this expression by multiplying the numerator and denominator by 6x^2, which gives:

(36 - 18x) / x√(36x^2)

Therefore, the expression in the simplest radical form is:

(36 - 18x) / x√(36x^2)

There are chairs from no. 27 to 66 in a row at an auditorium. How many chairs are there in a row

Answers

The number of chairs from number 27 to 66 in a row at an auditorium is calculated by using subtraction is 40.

To calculate the number of chairs in the row, we need to subtract the chair number of the first chair from the chair number of the last chair and add 1.

Number of chairs = (last chair number - first chair number) + 1

The first chair number is given as 27, and the last chair number is given as 66.

Substituting these values in the formula, we get:

Number of chairs = (66 - 27) + 1

Number of chairs = 40

Therefore, there are 40 chairs in the row, and the correct answer is option (3) 40.

To know more about Subtraction:

https://brainly.com/question/29199826

#SPJ4

____ The given question is incorrect, the correct question is given below:

There are chairs from no, 27 to 66 in a row at an Auditorium. Then

how many chairs are there in the row ?

(1) 38

(2) 39

(3) 40

(4) 48

make a venn diagram for the following situation and answer the questions below. a recent poll states that 48% of us teenagers had read harry potter and the half blood prince, 58% had seen the movie and that 22% both read the book and saw the movie. find the probability that a randomly selected us teenager

Answers

The probability that a randomly selected US teenager has either read Harry Potter and the Half Blood Prince or seen the movie is 84%.

To create a Venn diagram for this situation, you would need two circles that overlap in the middle. One circle would represent the 48% of teenagers who read the book, and the other circle would represent the 58% of teenagers who saw the movie. The overlap between the two circles would represent the 22% of teenagers who both read the book and saw the movie.

            +-----------------------------------------+

            |                                                 |

            |                    Read                    |

            |                   48% (R)                 |

            |                                                 |

            +--------------------+-------------------+

            |                         |                       |

            |                         |                       |

            |                         |                       |

            |    Both (B∩R)   |   Movie (M)   |

            |     22% (B)        |   58% (M)      |

            |                          |                      |

            |                          |                      |

            |                          |                      |

            +---------------------+------------------+

                              Not Read

                            30% (N∩M)

Here, R represents the event of reading the book, M represents the event of watching the movie, and B represents the event of both reading the book and watching the movie. The numbers in parentheses represent the percentage of US teenagers in each event. The area of each circle represents the total number of US teenagers.

To find the probability that a randomly selected US teenager has either read the book or seen the movie, you need to find the total area of the two circles (the 48% who read the book plus the 58% who saw the movie) and subtract the overlap (the 22% who both read the book and saw the movie). This gives you:

P(read or saw) = 48% + 58% - 22% = 84%

So the probability that a randomly selected US teenager has either read Harry Potter and the Half Blood Prince or seen the movie is 84%.

Learn more about Venn diagram here: brainly.com/question/29301560

#SPJ4

what is my height in a triangle

Answers

The height of the triangle is the distance that is found between the tip of the triangle at the top to the base of the triangle.

What is the height of a triangle?

A triangle's height is determined by drawing a perpendicular line from its vertex to its opposite side. The altitude, sometimes referred to as the triangle's height, forms a right-angle triangle with the base.

The length of a perpendicular segment from the base to the vertex directly across from it determines the height that corresponds to it. The vertex that is not an endpoint of the base is the one on the opposite side.

Read more on triangles here:https://brainly.com/question/17335144

#SPJ1

how to interperet ratios into values?

solve:
3/4 : 1/2

what is the value?

Answers

The value of the given ratio 3/4 : 1/2 is 3/2.

How to interperet ratios into values?

To get the value of a ratio, we just need to take the quotient between the first and second values.

For example, the value of a:b is a/b.

In this case we have the ratio:

3/4 : 1/2

Taking the quotient we will get:

(3/4)÷(1/2) = (3/4)*(2/1) = 6/4

                                    = 3/2

That is the value of the ratio.

Learn more about ratios at:

https://brainly.com/question/2328454

#SPJ1

Solve and graph 11x+6<9x+10

Answers

Wish it helped!! This is the answer :)

Barb is three times as old as her twin nieces Allie and Sam. The sum of their three ages is 55. How old is each person now?

Answers

Answers: Each twin is 11 years old. Barb is 33 years old

Work Shown:

x = age of each twin

3x = Barb's age

x+x+3x = 5x = total of their ages = 55

5x = 55

x = 55/5

x = 11

Each twin is 11 years old. Barb is 3x = 3*11 = 33 years old.

Check: twin1+twin2+barb = 11+11+33 = 55

The answers are confirmed.

Find the exact value of cos∠QPR
What is the answer to this? I'm pretty sure that I need to use law of cosines. I need all work shown and the answer.

Answers

Step-by-step explanation:

since you know already that you need the law of cosine (which is nothing else than the generalization of Pythagoras from right-angled triangles to general triangles), why don't you just apply it ?

the law of cosine :

c² = a² + b² - 2ab×cos(C)

c is the side opposite of angle C, a and b are the other 2 sides.

our angle C is here now the angle QPR. the opposite side is QR = 3.

so, we have

3² = 2² + 4² - 2×2×4×cos(QPR) = 4 + 16 - 16×cos(QPR)

9 = 20 - 16×cos(QPR)

-11 = -16×cos(QPR)

cos(QPR) = -11/-16 = 11/16 = 0.6875

FYI : that means

angle QPR = 46.56746344...°

Other Questions
Use the net to find the surface area of the prism.5 in.12 in.13 in.8 in. Tutored Practice Problem 4.5.1COUNTS TOWARDS GRADECalculate solution concentration in molarity units.A student weighs out 5.96 g of Zn(CH3COO)2, transfers it to a 250. mL volumetric flask, adds enough water to dissolve the solid and then adds water to the 250 mL mark on the neck of the flask.Calculate the concentration (in molarity units) of zinc acetate in the resulting solution?M=? What are some fast animals you can think of? What are some slow wins? How can fast can you run? Think about how you can predict who would win this race. Research the speed of at least four different animals. Then time how long it takes you to run 1/4 mile. If you and these four types of animals ran a marathon at those speed to win? How far into the race with the four other racers be when the winner cross the finish line? Would a sport article or research or record a sports new cast to predict the outcome of this race. Use the information you learned in this topic to justify your predictions. PLEASE HURRY!!!! Place these journeys in order, beginning with the earliest.1. Zheng He sailed a fleet of 317 ships from China to the eastern coast of Africa.2. Ibn Battutah journeyed from Morocco to Mecca, and then to Constantinople.3. Christopher Columbus sailed from Spain in search of a sea route to Asia.4. Marco Polo traveled the Silk Route from Venice to China and back again. pls hurry! Write the equation for the line in slope-intercept form: y=mx+b. a 2-dimensional 3x3 array of ints has been created and assigned to tictactoe. write an expression whoes value is true if the elements of any row or Why do Americans allow companies to dump their electronic waste products in developing countries? florian finds this evidence as he is researching on the Internet, which main idea what this evidence best supports What percentage of home-based businesses have no employees? Use the quote to answer the following question."The powers not delegated to the United States by the Constitution, nor prohibited by it to the States, are reserved to the States respectively, or to the people."Tenth Amendment, 1791What current issues would BEST represent this constitutional amendment as it relates to balances of power between the state and national governments?changing educational standards enforcement of new rules in the militaryimplementing tariffs on China raising federal taxes What is the probability of obtaining twelve heads in a row when flipping a coin? Interpret this probability The probability of obtaining twelve heads in a row when flipping a coin is________ Write a speech about how to save the world in Afrikaans in the early twentieth century, why was it difficult for suffragists to secure broader support for political equality? 3. Imagine that a radioactive isotope has a half-life of 2 years. A sample contains 1000 atoms ofthe radioactive isotope. Complete the following table to predict how many atoms of theradioactive isotope remain in the sample over time.Time elapsed (years)Number of radioactive atoms remaining which one of the following is not an integral part of the managerial process of crafting and executing strategy? while assessing a one-month-old infant, which of the findings warrants further investigation by the nurse? if the computer applies huffman coding to the wizard spell, which letter is the most likely to be represented with a shorter bit code? A bag of garden soil weighs 40 pounds and holds 5 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards. if an individual has the genotype aabbccdd and all four genes assort independently, how many different types of gametes should that individual produce with respect to the four genes? a. 8 b. 4 c. 2 d. 16 A large company is considering installing charging stations for electric cars in their companyparking lots. Suppose that 1.5% of employees at the main office have electric cars and 2% ofemployees at the branch office have electric cars.The company wonders whether there is greater need for the stations at the main office. Theyplan to take separate random samples of 100 employees from the main office and 50 employeesfrom a branch office. Then they will look at the difference in the sample proportions (PM-PB).What will be the shape of the sampling distribution of PM - PB, and why?