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Vadim26 [7]
3 years ago
13

Newberg is 8 kilometers due north of the airport, and summer field is 15 kilometers due east of the airport. How far apart are n

ewberg and summberfeild
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0

Answer:

The correct answer is 17 kilometers.

Step-by-step explanation:

Let A denote the point where the airport is located.

Newberg is located 8 kilometers due north of airport say at point B.

Summer field is located 15 kilometers due east of the airport say at point C.

Thus ABC is the required right angled triangle with sides AB = 8; AC = 15; and ∠A = 90°.

Thus we use Pythagoras theorem to find the value of the side BC which indeed would give us the distance between Newberg and Summer field.

∴ BC = \sqrt[2]{ AC^{2} + AB^{2} } = \sqrt[2]{ 15 ^{2} + 8^{2}} = \sqrt[2]{289} = 17 kilometers.

Thus the distance between Newberg and Summer field is 17 Kilometers.

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The points that represent this data are shown in the image attached below.

<h3>What is a scatter plot?</h3>

A scatter plot is a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

Based on the information provided in table above, the points that represent this data are shown in the image attached below.

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2 years ago
2 1/2x + 1/4 + 3/4x = 1/8
Vinil7 [7]

\frac{5}{2}x+\frac{1}{4}  +\frac{3}{4} x=\frac{1}{8} \\\\\frac{5}{2}(8)x+\frac{1}{4}  (8)+\frac{3}{4}(8) x=\frac{1}{8}(8)\\20x+2+6x=1\\20x+6x=1-2\\26x=-1\\\frac{26x}{26} =\frac{-1}{26} \\x=-\frac{1}{26}

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8 months ago
Questions in Image below. Please explain how you got your answers in depth please.
irakobra [83]

Step 1

Revenue (sometimes referred to as sales revenue) is the amount of gross income produced through sales of products or services. This, in the context of the question, means that the revenue generated from the sales of tickets is given by the function below. We are now required to find the price that tickets will be sold at in a day based on the function that will make the revenue to be equal to $0.

The revenue is given by the function;

\begin{gathered} f(p)=150p-5p^2 \\ f(p)\text{ is the revenue and should be equal to 0 according to the question.} \\ p=\text{ The price of tickets for the day for the revenue to be 0} \end{gathered}

To solve this problem or to find this price at which tickets will be solved to give us zero revenue, we must equate the given function for the revenue to 0 and find the value of p, the price of the tickets that make the function to be equal to 0.

For the theatre to make $0 in revenue, this means f(p)=0.

Therefore, we will equate f(p) to 0

Step 2

Equate f(p) to 0

\begin{gathered} 0=150p-5p^2 \\ p(150-5p)=0----(\text{factorize)} \\ p=0 \\ 0r \\ 150-5p=0 \\ 150=5p \\ \frac{5p}{5}=\frac{150}{5} \\ p=30 \\ p=0\text{ or 30} \end{gathered}

Therefore the revenue to be zero, the price of the ticket will be $0 or $30 but the question asked us how high the ticket price will be to get a revenue of 0. Both 0 and 30 gave us revenue of 0 but $30 is higher therefore, the answer will be $30.

Check;

\begin{gathered} 150p-p^2=0 \\ \text{If the price of tickets=0} \\ 150(0)-5(0^2)=0 \\ \text{If p=30} \\ 150(30)-5(30^2)=4500-4500=0 \end{gathered}

Both give us 0 revenue but $30 is higher and the right answer.

Step 3

The equation you can write for revenue of $700 is;

\begin{gathered} 700=150p-5p^2 \\ 5p^2-150p+700=0_{} \end{gathered}

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9 months ago
WORTH 50 POINTS!!!
irina [24]

Answer:

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Soloha48 [4]

Answer: The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa"

Step-by-step explanation: You didn't really give me more information to answer this but I still hope that this helped! :)

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