salemburg is 17 miles south of linbrooke, and linbrooke is 5 miles west of pueblo. Carson lives nine miles north of linbrooke. how many miles is it from carson house to Salemburg through pueblo “as the crow flies”

Answers

Answer 1

Check the picture below.

so then, let's use the pythagorean theorem to find "x" and "y", and the distance is just x+y.

[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{9}\\ b=\stackrel{opposite}{5}\\ \end{cases} \\\\\\ x=\sqrt{9^2+5^2}\implies x=\sqrt{81+25}\implies x=\sqrt{106} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{17}\\ b=\stackrel{opposite}{5}\\ \end{cases} \\\\\\ y=\sqrt{17^2+5^2}\implies y=\sqrt{289+25}\implies y=\sqrt{314} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total distance}}{x+y}\implies \sqrt{106}+\sqrt{314}\qquad \approx 10.296+17.72\qquad \approx 28.016[/tex]

Salemburg Is 17 Miles South Of Linbrooke, And Linbrooke Is 5 Miles West Of Pueblo. Carson Lives Nine
Answer 2

Final answer:

To find the distance from Carson's house to Salemburg through Pueblo 'as the crow flies', we use the Pythagorean theorem. Adding together the two legs of a right triangle formed by the given distances and solving for the hypotenuse, we find it is approximately 26.48 miles.

Explanation:

To determine the distance from Carson's house to Salemburg through Pueblo 'as the crow flies', we need to create a diagram and use the Pythagorean theorem. First, we know that Salemburg is 17 miles south of Linbrooke, Linbrooke is 5 miles west of Pueblo, and Carson lives 9 miles north of Linbrooke. Therefore, the distance directly north from Carson's to Pueblo is 9 miles (since he is directly north of Linbrooke), and from Pueblo to Salemburg the direct line would consist of 5 miles west and 17 miles south, which forms a right triangle.

Using the Pythagorean theorem to find the length of the hypotenuse (direct line from Carson's past Pueblo to Salemburg), we have:

Calculate the total distance north-south by adding Carson's 9 miles north to Salemburg's 17 miles south, which gives us 26 miles.

Since we already have the west-east distance as 5 miles, we can set up the equation a^2 + b^2 = c^2, where 'a' is 5 miles, 'b' is 26 miles, and 'c' is the hypotenuse we are looking for.

Plugging in the values gives: 5^2 + 26^2 = c^2, or 25 + 676 = c^2, resulting in c^2 = 701.

Take the square root to find 'c': c ≈ 26.48 miles.

Therefore, the distance from Carson's house to Salemburg 'as the crow flies' passing through Pueblo is approximately 26.48 miles.


Related Questions

I Need Help can anyone figure out the answer to this problem a store sells cans of tomatoes price to show what size can of tomatoes has the lowest cost per ounce ​

Answers

Answer: 15 ounces

Step-by-step explanation:

We need to find the unit rate for each of the prices/ounces,

0.89/10 = 0.089

1.29/15 = 0.086

2.26/18 = 0.125...

3.39/32 = 0.1059375

The answer is:

B. 15 ounces

Because the unit rate(cost per ounce) is 0.086 cents per ounce which is less than:

A. 0.086

C. 0.126

D. 0.106

What is 40% of 25 anyone can u answer the question

Answers

-Hello There-

ANSWER: 10 Is 40% Of 25

EXPLANATION

What is 40% of 25?

Y is 40% of 25

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 40% * 25

Converting percent to decimal:

p = 40%/100 = 0.4

Y = 0.4 * 25

Y = 10

Have A Great Day!

Be Safe,

TheBlueFox

Find the median of the following data set 6,2,59,12,11,9,9,54,54,46,2,32,43,11

Answers

By arranging the numbers in ascending order we get,

2, 2, 6, 9, 9, 11, 11, 12, 32, 43, 46, 54, 54, 59

The 2 middle numbers are:

11, 12

To find the median we have to add them and divide them by 2

So, (11+12)÷2

23÷2

11.5

For this case we have by definition that the median of a set of numbers is the average number in the set, after the numbers have been arranged from the lowest to the highest. If there is an even number of data, the median is the average of the two average numbers. So:

We order the numbers from least to greatest:

2,2,6,9,9,11,11,12,32,43,46,54,54,59

We have 14 numbers:

[tex]\frac {11 + 12} {2} = \frac {23} {2} = 11.5[/tex]

Answer:

11.5

Find the range of {(3.2, -3), (7.6,5.9), (1.4, -3), (-9.1, 8.3)}.

Answers

Answer:

17.4 i believe

Step-by-step explanation:

Stuck, need help please.

Answers

Answer:

22.5 lbs

Step-by-step explanation:

First you find the cubic feet. That is the volume of the object which is length*width*height.

In your example, they are using inches. So you have to convert all units to feet. That would be 0.5 inches, 0.5 inches, and 5/3 inches. The volume would be 0.5*0.5*5/3 which is about 5/12 cubic feet

You then take that 5/12 cubic feet and multiply it by the 54 lbs/cubic foot. The answer would be 22.5 lbs

Is 3i a complex number

Answers

Remember that a complex number has the form a + bi. You need to figure out what a and b need to be. Since −3i is an imaginary number, it is the imaginary part (bi) of the complex number a + bi. This imaginary number has no real parts, so the value of a is 0.

ANSWER

Yes

EXPLANATION

The number

[tex]3i[/tex]

can be rewritten as

[tex]0 + 3i[/tex]This is of ty form

[tex]z = a + bi[/tex]

where 0 is the real part and 3i is the imaginary or complex part.

[tex]3i[/tex]

is therefore a complex number. It is purely imaginary because the real part is zero.

A right cylinder has a radius of 4 and a height of 11 what’s the surface area

Answers

Answer:

[tex]A=376.99\ units^2[/tex]

Step-by-step explanation:

By definition, the surface area of a cylinder is given by the following formula:

[tex]A = 2\pi r h + 2\pi r ^ 2[/tex]

Where r is the radius and h is the height.

In this case, we have to:

[tex]r = 4\\\\h = 11[/tex]

then the surface area is:

[tex]A = 2\pi(4)(11) + 2\pi(4) ^ 2[/tex]

[tex]A=120\pi[/tex]

[tex]A=376.99\ units^2[/tex]

120pi units^2

Step-by-step explanation:

HELPPP
The temperature inside a freezer is 2 degrees Celsius. What change can be made to the temperature inside the freezer so that it is 0 degrees Celsius?

A. increase the temperature by 2 degrees Celsius

B. decrease the temperature by 2 degrees Celsius

C. divide the temperature, in degrees Celsius, by 2

D. multiply the temperature, in degrees Celsius, by 2​

Answers

Answer:

The answer would be B. decrease the temperature by 2 degrees Celsius.

Step-by-step explanation:

Since 2°C - 2°C= 0, then you would obviously have to subtract to find your answer.

i have an 86% in math, my final is worth 25% of my grade. where would i be if i failed it? ​

Answers

Answer:

Depends

Step-by-step explanation:

Depends on how many questions you missed. I'm going to assume that you mean you somehow missed every question. So, 86% - 25% would be 46%.

What is the answer to x-9<15

Answers

Answer:

the answer is anything less than 24

Step-by-step explanation:

[tex]x - 9 < 15 = x - 9 + 9 < 15 + 9[/tex]

[tex] \times < 24[/tex]

Let ​ f(x)=x2+14x+36 ​ .

What is the vertex form of f(x)?

What is the minimum value of f(x)?

Enter your answers in the boxes.

Answers

Answer:

see explanation

Step-by-step explanation:

The vertex form of f(x) is

f(x) = (x - h)² + k

where (h, k) are the coordinates of the vertex

To obtain this form use the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 14x

f(x) = x² + 2(7)x + 49 - 49 + 36

     = (x + 7)² - 13

The minimum value of f(x) is the y- coordinate of the vertex

vertex = (- 7, - 13), that is minimum value = - 13

Final answer:

The vertex form of the function f(x)=x²+14x+36 is (x + 7)² - 13, with the vertex at (-7, -13). The minimum value of f(x) is -13.

Explanation:

To convert the function f(x) = x²+ 14x + 36 into vertex form, we need to complete the square. First, factor out the coefficient of the x² term if it is not 1 (in this case it is 1, so no factoring is necessary), and then group the x terms.

f(x) = (x²+ 14x) + 36

Add and subtract the square of half of the coefficient in front of x within the parenthesis to complete the square:

f(x) = (x² + 14x + 49) - 49 + 36

Simplify:

f(x) = (x + 7)² - 13

Now the function is in vertex form, which is y = a(x - h)² + k, where (h, k) is the vertex. Here, the vertex is at (-7, -13).

The minimum value of the function f(x) occurs at the vertex since the coefficient of the x² term is positive, indicating a parabolic shape opening upwards. Therefore, the minimum value of f(x) is -13.

Learn more about Vertex Form here:

https://brainly.com/question/29124549

#SPJ2

Find (f-g)(x) when f(x) = 2x-3 and g(x) = -4x+8

Answers

Answer:

6x - 11

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x) = 2x - 3 - (- 4x + 8) = 2x - 3 + 4x - 8 = 6x - 11

Answer:

6x -11

Step-by-step explanation:

f(x) = 2x-3 and g(x) = -4x+8

f-g (x) =2x-3 - (-4x+8)

Distribute the minus sign

       = 2x - 3 +4x -8

Combine like terms

       = 6x -11

A diver who has a mass of 68 kg climbs to a diving platform that is 7.5 m above the surface of a pool. How much gravitational potential energy does the diver have in relation to the pool’s surface? 510 J 1912 J 3825 J 4998 J

Answers

Answer:

option D

4998 J

Step-by-step explanation:

Given in the question that,

mass of the diver = 68 kg

distance of the diver from the surface of a pool = 7.5 m

The gravitational potential energy of an object is given by

GPE = m(g)(h)

here,

m is the mass of the diver

g is the acceleration due to gravity = 9.81m/s²

h is the height from the surface

Plug values in the formula to calculate GPE

GPE = 68(9.8)(7.5)

        = 4998 J

Therefore, the gravitational potential energy of the diver with respect to the surface of the pool is 4998 J

Final answer:

The diver has 4986 Joules of gravitational potential energy in relation to the pool's surface, with the closest answer choice being 4998 J, assuming rounding differences. Hence, the answer is D.

Explanation:

To calculate the gravitational potential energy (GPE) of the diver in relation to the pool's surface, we can use the formula GPE = mgh, where m is the mass of the diver, g is the acceleration due to gravity (9.8 m/s2), and h is the height of the diving platform above the pool's surface.

Substituting the diver's mass (68 kg) and the height of the diving platform (7.5 m) into the equation, we get:

GPE = (68 kg) times (9.8 m/s2) times (7.5 m)

GPE = 4986 Joules

Therefore, the diver has 4986 Joules of gravitational potential energy in relation to the pool's surface. Since this value isn't exactly one of the choices, it's likely due to rounding differences, and the closest provided option is 4998 J, which we could assume is the intended answer.

Please help! I'm am not that great at graphing like this...

Thanks a bunch! :)

Answers

Answer:

Step-by-step explanation:

If it's less than or greater than (<, >), then the circle is hollow.

If it's less than or equal to, or greater than or equal to (≤, ≥), then the circle is solid.

Less than points to the left, greater than points to the right.

Here we have less than (not equal to).  So the circle is hollow, and the arrow points left.  So the correct answer is the first one.

We can check our answer by picking a point and seeing if it's true.  If we pick c=-6, is it true that -6 < -1?  Yes.

A line has a slope of 9 and includes the points (t, 7) and (-10, -2). What is the value of t?

T=__

Answers

[tex]\bf (\stackrel{x_1}{t}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{-10}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-7}{-10-t}=\stackrel{\stackrel{slope}{\downarrow }}{9}\implies \cfrac{-9}{-10-t}=9 \\\\\\ -9=-90-9t\implies 81=-9t\implies \cfrac{81}{-9}=t\implies -9=t[/tex]

T=-9 and the work is there

If you have any questions about what I did

Hope this helps.if it does please mark brainliest

PLEASE I NEED HELP FASSSTTTT

Answers

Answer:

hi so finding the volume you need to do

pi times R² times height

Step-by-step explanation:

hopes this will help u  outttttt


The table gives the probability distribution of the number of DVDs sold per day at a music store. What is the probability of 5 or more DVDs being sold on any given day?


number of DVDs sold in a day

0-4

5-9

10-14

15-20

probability

0.1875

?

0.4375

0.125

A.
0.4375

B.
0.2525

C.
0.8125

D.
1.0000

Answers

Answer:

C. 0.8125

Step-by-step explanation:

The probability to sell 5 or more DVDs in a day is the complement of the probability of selling less than 5 DVDs in a day, since sales <5 DVDs + sales >= 5 DVDs = 100% of the sales.

So, we know what's the probability of selling less than 5 DVDs in a day is... it's 0.1875

So, to find the possibility of selling 5 or more DVDs in a day, we take 100% of the chances (1.0) and we subtract the probability of selling <5 DVDs in a day:

P = 1.0 - 0.1875 = 0.8125

C. 0.8125 is your answer.

Really help please desperate in need help a sister out please just help

Answers

Answer:

Not safe

Step-by-step explanation:

Using the sine ratio in the right triangle

let the angle be x, then

sinx° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{16.5}{17}[/tex]

x = [tex]sin^{-1}[/tex] ([tex]\frac{16.5}{17}[/tex] ) ≈ 76.1°

Since 76.1° > 70° then not safe at this height

twice a number subtracted from 35 is 9.what is the number​

Answers

Ok, so equation for this would be 2x-35=9, 2x because its twice a number, x. 35 because it is taking off of 35. 9 because the grand total is 9.

2x-35=9 First add 35 to 9

2x=44 Then divide 44 by 9

x= approximately 4.9 

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slope-intercept form of the equation for this line?

y = x – 12
y = x – 4
y = x + 2
y = x + 6

Answers

Answer:

y = x - 4

Step-by-step explanation:

Rewrite y – 4 = (x – 8) in slope-intercept form.  To do this, solve the given equation for y:

y - 4 = x - 8  →  y = 4 + x - 8, or y = x - 4

As the point-slope form is given, we will simplify it;

                                [tex]y-4=x-8[/tex]

By adding +4 on both the sides, we get:

                            ⇒[tex]y=x-8+4[/tex]

                           ⇒[tex]y=x-4[/tex]

The slope-intercept form of the equation for this line is y=x-4.

Hence, the correct answer is option (b).

What is slope y-intercept form?

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

What is slope-intercept form example?

Examples. y = 5x + 3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and and a y-intercept of 3. y = −2x + 6 represents the equation of a line with a slope of −2 and and a y-intercept of 6.

Learn more about slope-intercept, refer to:

https://brainly.com/question/1884491

#SPJ2

What does x equal? Its a thing for my math class and im confused

Answers

Answer:

[tex]x=44[/tex]

Step-by-step explanation:

[tex]\frac{x}{4}+4=15 \\ \\ \frac{x}{4}=11 \\ \\ x=44[/tex]

Estimate the sum by first rounding each mixed number to the nearest whole number and then adding

3 8/9 + 2 5/6

Answers

About 4+ about 3 =7

For this case we have:

[tex]3 \frac {8} {9} = \frac {27 + 8} {9} = \frac {35} {9} = 3.8888[/tex]

Round the nearest whole, that is, to 4.

[tex]2 \frac {5} {6} = \frac {12 + 5} {6} = \frac {17} {6} = 2.8333[/tex]

Round the nearest whole, that is, to 3.

So, rewriting we have:

[tex]4 + 3 = 7[/tex]

ANswer:

[tex]3 \frac {8} {9} +2 \frac {5} {6} = 7[/tex]

What is 2x -4 ≤ 4x answer

Answers

Answer:

x ≥ -2

Step-by-step explanation:

2x - 4 ≤ 4x

Subtract 2x from both sides:

-4 ≤ 2x

Divide by 2:

-2 ≤ x

So -2 ≤ x, or x ≥ -2.

You can check your answer by picking a number greater than -2 and see if it works.  For example, if x = 0:

0 - 4 ≤ 0

-4 ≤ 0

Help plzzzzzzzzzzzzzz

Answers

Answer:

y=8x-3

Step-by-step explanation:

What does m






Is the answer in the box correct?

Answers

Answer:

Yes, the answer provided is correct.

Step-by-step explanation:

Angles TRV and SRW are vertical angles, so they are the same value.

One of the factors of the polynomial x^3 + 5x^2 + 6x is (x^2 + 3x). What is the other factor?
A. X-2
B. X + 2
C. X + 1
D. X - 1

Answers

Answer:

B

Step-by-step explanation:

The answer is b that’s what I got

THIS I S EASY I JUST DON'T KNOW IT PLZZ ANYONE I REALLY NEED THIS ASP I PROMISE BRAIBLIEST ANYONE???????PLZZ HELP I DON'T KNOW WHAT TO DO !!!!!!!15PTS!!! WIL GIVE BRAINLIETS!!!!Which function rule represents the data in the table?



x –3 –2 –1 0 1

y –17 –14 –11 –8 –5



y = –3x – 8

y = 1/3x – 8

y = 3x – 8

y = 1/3x + 8

Answers

Answer: The answer is y=3x-8

Step-by-step explanation: All you have to do is plug in the x values and see what you get for y. For example: when you plug in -3 for x.    y=3(-3)-8 than you multiply the -3 by 3 and that give you y=-9-8 which equals y=-17 so that shows you the equation works.

plugging in -2 for x

y=3(-2)-8

y=-6-8

y=-14

I hope this helps!!!

Answer:

y = 3x -8

Step-by-step explanation:

You can try a point in the function rules and see if it works. The first (x, y) pair is suitable for finding the right answer:

y = -3(-3) -8 = -1 ≠ -17 . . . . eliminates the first choice

y = 1/3(-3) -8 = -9 ≠ -17 . . . . eliminates the second choice

y = 3(-3) -8 = -17 . . . . . the third choice is viable

y = 1/3(-3) +8 = 7 ≠ -17 . . . . eliminates the last choice

__

Only the third choice is a possible solution. Checking other points from the table verifies this as the correct one.


If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
equation?
The discriminant is negative
The discriminant is -3.
The discriminant is 0.
The discriminant is positive

Answers

Answer:

The discriminant is 0

Step-by-step explanation:

Since the graph of the quadratic equation has only one x-intercept, we can conclude that the quadratic has only one real root.

If a quadratic equation has only one real root, then the discriminant is 0

If x = -3 is the only x-intercept of the graph of a quadratic equation then the discriminant is 0

The answer for this question is 0

Which of the following could be the graph of this equation?

Answers

Answer: OPTION C.

Step-by-step explanation:

Given a function f(x), the range of the inverse of f(x) will be the domain of the function f(x) and the range of the domain of f(x) will be the range of the inverse function.

For example, if the point (2,1) belongs to f(x), then the point (1,2) belongs to the inverse of f(x).

Observe that in the graph of the function f(x) the point (-3,1) belongs to the function, then the point (1,-3) must belong to the inverse function.

Therefore, you need to search the option that shown the graph wich contains the point (1,-3).

Observe that the Domain f(x) is (-∞,0) then the range of the inverse function must be (-∞,0).

This is the graph of the option C.

I need help please and thank you

Answers

Answer:

Step-by-step explanation: if she runs 1 lap in 6 minutes, divide 66 by 6 to find how many laps she runs. this is 11. 11 is the minimum amount of laps that she runs.

n≥11

Answer:

11 ≤ n

Explanation:

[tex] \frac{66}{6} = 11[/tex]

More than indicates the minimum value, so you use the greater than or equal to.

The above answer is written in reverse, which the exact same result.

I am joyous to assist you anytime.

Other Questions
Which statements are correct about silicon?A metalloidB atomic number is 28C atomic weight is 14D has similar properties as Al and PE has similar properties as GeF belongs to Period 3 What nerve can be compressed when someone stands for a prolonged period of time? A. Lumbar nerve B. Patellar nerve C. Spinal nerve D. Inguinal nerve E. Sciatic nerve Bahia grass pastures in Florida are damaged by mole cricket infestations. Certain nematodes carry a bacterium which kills the mole crickets in a few daysWhat role would the nematodes BEST serve for the grassplease answer a . biological pest controlb . selective fertilizersc . natural decomposersd . producers in the food chain What is the letter name for the note shown above? C D E F Why is embryonic stem cell research controversial? A. It requires the destruction of embryos to use the stem cells in research. B. It forces a mandate for all employees to submit to approval of stem cell research C. It reduces the overall potency of the cells. D. It causes birth defects in the embryos that have stem cells extracted. -p+60 = = h + 10,000In the equation above, h is a constant. If p = 10 is a solution to the equation, what is the valueof h? Your it department enforces the use of 128-bit encryption on all company transmissions. your department also protects the company encryption keys to ensure secure transmissions. which choice lists an important reason for encrypting the company's network transmissions? Please please help me 15 points!!! The triangle ABC is dilated with respect to the point O(8,-3) and the scale factor 3 to a new triangle A'B'C'. What are the coordinates of B?(24,-9)(24,-3)(12,-9)(-4,-3) How is it possible that regions thousands of base pairs from a promoter can impact transcription of that gene? Fill in the blanks in order A bacteria culture begins with 4 bacteria which double in size every hour. How many bacteria exist in the culture after 8 hours. The first figure of the Sierpinski triangle has one shaded triangle. The second figure of the Sierpinski triangle has three shaded triangles. The third figure of the Sierpinski triangle has nine shaded triangles. Which summation represents the total number of shaded triangles in the first 15 figures? Which was the last state to join the union? Who is known as the father of the constitution? What causes a hemorrhoid What are the characteristics of effective notes? Check all that apply. 1.They are clear and neatly formatted.2.They include the teachers exact words.3.They include key dates and numbers.4.They include symbols and abbreviations.5.They include everything the teacher says.6.They have sections with proper headings.7.They summarize important information. 60-POINTS,5-STAR RATING, A THANKS AND MARKED AS Brainiest.John wants to know which color of container heats water the fastest. He gets a red container, a black container and a white container and fills each with 300 ML of water. The water is at the same temperature for all three containers. He sets the containers on a bench in the sun. He records the temperature of the water in each container every 5 minutes. Each container is the same size and made of the same material.Independent variable:Dependent variable:3 Constants:Write a hypothesis for this experiment: a tree casts a shadow that is 20 feet long. if the tree is 35 feet tall, what is the angle of elevation from the end of the shadow to the top of the tree? round to the nearest tenth once upon a time a group of young men sat down in a circle and spoke of mighty things. This is what what said " when the fall of the year comes around, where does the summer go? where does it live?" They decided to follow the sun southward to its home, and so they set out on horseback... Some of the earliest memories are of summers on Rainy Mountain Creek,... Now and then in winter, when I passed by the arbor on my way to draw water at the well, I looked inside and thought of the summer (60-61). Which sentence best explains how the author's personal reflection affects the first passage? A. It goes into greater detail about what happens to the men. B. It invited the reader to reflect on the meaning of the theme C. It shows how the concept of summer has changed D. It adds a personal dimension to a general theme. Steam Workshop Downloader