An Airplane travels about 1500km in a straight line between Toronto and Winnipeg . However, the plane must climb to 10 000 m during the first 200km. Then it must descend 10 000 m during the final 300km

1. How much Distance do the climb and desent add to the flight? ...?

Answers

Answer 1
Based on the given problem above, it requires a trigonometric solution. So here it goes:
The climb distance is:200 * Sec [ArcTan [10/200]] = 10√ 401 km
and the decent distance is:300 * Sec [ArcTan [10/300]] = 10√901 km
So add the given results above with 500 km and this will be the additional distance that plane moves through the air.
The answer would be in the unit meters.
((10√401 +10√901−500)∗1000)=416 meters
Hope this is the answer that you are looking for.
Answer 2

Answer:

Climbing and descending add to the flight 416 m

Step-by-step explanation:

The plane must climb to 10 km during the first 200 km. This forms a right triangle, where 10 and 200 are its legs and the hypotenuse is the distance travelled by the airplane. From Pythagorean theorem, that distance is:

√(10² + 200²)

The plane must descend 10 km during the final 300km. This forms a right triangle, where 10 and 300 are its legs and the hypotenuse is the distance travelled by the airplane. From Pythagorean theorem, that distance is:

√(10² + 300²)

If the airplane climbed during 300 km and descended during 200 km, then during 1500 - 200 - 300 = 1000 km it doesn't climb or descend.

The distance added by climbing and descending is:

1000 + √(10² + 200²) + √(10² + 300²) - 1500 = 0.416 km or 416 m


Related Questions

What is the median for the following set of data? 2, 5, 7, 8, 11, 11, 12

Answers

8 is the median in this set of numbers!

Solve the system of equations below by graphing them with a pencil and paper. Enter your answer as an ordered pair.

y = 2x - 3 y = -2x + 5 ...?

Answers

y = 2x - 3 . . . (1)
y = -2x + 5 . . . (2)
Equating (1) and (2),
2x - 3 = -2x + 5
2x + 2x = 5 + 3
4x = 8
x = 8/4 = 2
x = 2
y = 2(2) - 3 = 4 - 3 = 1
y = 1

Solution = (2, 1)

Answer:

Solution is (2,1)

Step-by-step explanation:

In order to graph both lines ,we need to find the X and Y intercepts for both equations

Lets take equation  y =2x -3

               To find y intercept ,we plug x =0 ,we get y =2(0)-3 = 0-3 =-3

                         Y intercept is (0,-3) Which is point  'C' in the graph

              To find X intercept ,we plug y =0 ,we get 0 = 2x-3 or x = 3/2 or 1.5

                        X intercept is (1.5,0) Which is point D in the graph.

Lets take equation y =-2x+5

                   To find y intercept ,we plug x =0 ,we get y = -2(0)+5 = 0+5 = 5

                       Y intercept is (0,5) which is point A in the graph .

              To find X intercept ,we plug y =0 ,we get 0 =-2x+5 or x = 5/2 or 2.5

                     X intercept is (2.5,0) which is point B on the graph

         After getting intercept of both lines ,we plot both lines

In the graph Blue line shows  y=2x-3 and Red line shows y =-2x+5

both lines intersect at point E which is called the solution of both equation

which is given to be (2,1)

lisa is 6 years older than Tom. Their father's age is twice the sum of their ages. How old is lisa if her dad is 32?

Answers

L = 6 + T      D= 2(L+T)          L=Lisa T=Tom D= dad        L + T = 32       
6 + t + t = 32         6 + 2t = 32      2t = 26        t = 13       L = 6 + t     L = 6 + 13     L = 19






















The radius of a cylindrical water tank is 5.5ft, and its height is 8ft
. What is the volume of the tank? Use the value 3.14 for π, and round your answer to the nearest whole number.Be sure to include the correct unit in your answer.

Answers

The volume of the cylindrical water tank with a radius of 5.5 feet and a height of 8 feet is 760 cubic feet after rounding to the nearest whole number.

To calculate the volume of a cylindrical water tank, we use the formula V = , where V represents volume, is the constant Pi, approximately equal to 3.14, r is the radius of the cylinder, and h is its height.

Given that the radius r is 5.5 feet and the height h is 8 feet, substituting these values into the formula gives us:

V = 3.14 * (5.5ft) * 8ft

First calculate the radius squared:

5.5ft * 5.5ft = 30.25ft

Now, calculate the volume:

V = 3.14 * 30.25ft * 8ft = 3.14 * 242ft = 759.88ft

After rounding to the nearest whole number, the volume is 760 cubic feet.

You are buying potato chips at the grocery store. You have a manufacturers coupon for a $1.00 off and the store is offering 20% off if you buy 2 bags. You decide to buy 2 bags of potato chips. How do you compute your final cost?

A. Subtract $1.00 off each bag and then multiply by .20
B. Multiply each bag by .20, subtract $1.00 off of each bag, and then add them together.
C. Add the two bags together, multiply by .80, and then subtract $1.00.
D. Subtract $1.00 from the first bag, then add them together, and then multiply by .80.

Answers

Based on the given scenario above, the correct answer would be option A. So in order for you to compute your final cost for the potato chips you purchase, what you should do is that, you subtract $1.00 off each bag and then multiply by .20. Hope this answers your question. Have a great day!

Answer:

The correct option is:   C.  Add the two bags together, multiply by .80, and then subtract $1.00.

Step-by-step explanation:

First you need to add the prices of two bags for getting the total sales price.

Now, the store is offering 20% off, that means you need to pay 80% of the total sales price. For finding the amount, we need to multiply the total sales price by 0.80

Then, you have a manufacturers coupon for a $1.00 off. So, for fining the final price, you need to subtract that $1.00 from the last result.

Thus, the correct option will be......

C. Add the two bags together, multiply by .80, and then subtract $1.00.

You have been asked by the police department to find three locations the Acute Perps gang is likely to hit in the coming weeks. Because the gang sticks to a triangular pattern, the locations could be a translation, reflection, or rotation of the original triangle. For this step, identify and label three points on the coordinate plane that are a translation of the original triangle. Next, use the coordinates of your translation along with the distance formula to show that the two triangles are congruent by the SSS postulate. You must show all work with the distance formula.

Answers

The goal is to translate the triangle with the given vertices in any which you choose and then prove that the original triangle and the translated triangle are congruent by the side-side-side postulate (i.e., if 3 sides of a triangle are equal to 3 sides of another triangle (in length/distance) then the 2 triangles are congruent). For example, let's say you want to translate the given triangle 4 units to the right and 2 units down. Then you add 4 units to the x-coordinate of each vertex and subtract 2 units from the y-coordinate of each vertex to obtain the this translation. That is,    (3, 6)    --> (3+4, 6-2)=(7, 4)   (6, -3)   --> (6+4, -3-2)=(10, -5)   (-2, -3)  --> (-2+4, -3-2)=(2, -5) Now compute the length of each side of both triangles using the distance formula. If the lengths of the 3 sides of the original triangle are equal to the length of the 3 sides of the translated triangle, then they are congruent by the SSS postulate. 

Note:

Images with coordinates or original and translated triangles are attached.

Answer:

The coordinates for the given triangle are A(6,3), B(6,-3) and C(-2,-3), respectively.

Let us translate this triangle by -6 units along the x-axis and +3 units along the y-axis. This means that 6 will be subtracted from each of the abcissas (x-points) and 3 will be added to each ordinates (y-points). Hence, our translated triangle will have the following coordinates: A'(0,6), B'(0,0) and C'(-8,0), respectively.

Now to prove that both triangles are congruent, we use the SSS postulate, which states that:

"If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent."

Distance between two point P1 and P2 will be:

[tex]|P_1P_2|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Now using distance formula to find sides of triangle ABC and triangle A'B'C'.

For Triangle ABC:

|AB| = [tex]\sqrt{(6-6)^2+(-3-3)^2} =\;6\;units[/tex]

|AC| = [tex]\sqrt{(-2-6)^2+(-3-3)^2} =\;10\;units[/tex]

|BC| = [tex]\sqrt{(-2-6)^2+[-3-(-3)]^2} =\;8\;units[/tex]

For Triangle A'B'C':

|A'B'| = [tex]\sqrt{(0-0)^2+(0-6)^2} =\;6\;units[/tex]

|A'C'| = [tex]\sqrt{(-8-0)^2+(0-6)^2} =\;10\;units[/tex]

|B'C'| = [tex]\sqrt{(-8-0)^2+(0-0)^2} =\;8\;units[/tex]

Hence, as the distances are equal, the two triangles are congruent by SSS postulate.

how do i simplify -2x - y - 2z ???

Answers

- (2x+y+2z) = -(2(x+z) + y)

Your math teacher allows you to choose the most favorable measure of central tendency of you test scores to determine your grade for the term. On six tests you earn scores of 89,81,85,82,89 and 89. What is your grade to the nearest whole number, and which measure of central tendency should you choose?

Answers

Answer:

89; the mode

Step-by-step explanation:

Final answer:

The best measure of central tendency for the student's test scores is the mode, which is 89. The mean and median are 86 and 87 respectively, but the mode gives the highest score, hence it is the most favorable for determining the student's final grade.

Explanation:

The question asks for the most favorable measure of central tendency for a student's test scores to determine their final grade. The test scores provided are 89, 81, 85, 82, 89, and 89.

To find the most favorable measure, we need to calculate the mean (average), median, and mode of the test scores. The mean is calculated by adding all the scores together and dividing by the number of tests. The median is the middle number when the scores are listed in order, and the mode is the number that appears most frequently.

Calculating the mean: (89 + 81 + 85 + 82 + 89 + 89) / 6 = 85.83, which we round to the nearest whole number as 86.

To find the median, we order the scores: 81, 82, 85, 89, 89, 89. Since there are an even number of scores, the median is the average of the two middle numbers, in this case, 85 and 89. Thus, the median is (85 + 89) / 2 = 87.

The mode is the most frequent score, which is 89.

Out of the mean, median, and mode, the mode is the highest and most favorable measure of central tendency for the student, resulting in a final grade of 89 when rounded to the nearest whole number.

Simplify. √24

A √38

B √212

C √26

D √46

Answers

the closest answer would have to be C.√26
Final answer:

To simplify √24, we find its prime factors, pair them up, and bring one number from each pair outside the square root. The remaining numbers stay under the square root. The correct answer is 2√6. The options provided in the question are all incorrect.

Explanation:

The problem is asking us to simplify √24, which is a typical Mathematics question in Middle School. Here are the steps we need to take:

Find the prime factors of 24. They are 2, 2, 2, and 3.Group the factors in pairs. We have one pair of 2's.Take one number from each pair outside the square root symbol. So, we have 2.The remaining numbers (2 and 3) stay under the square root symbol, multiplied together to give 6.

Therefore, √24 simplifies to 2√6.

All the options provided (A √38, B √212, C √26, D √46) are incorrect.

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What is the solution to this inequality?
16 + x > 30

A. x > 14
B. x >-14
C. x > -46
S. x > 46

Answers

A. x > 14

Reason: subtract 16 to both sides. 16 - 16 = 0, so x is by itself. 30 - 16 = 14. Hence, x > 14

If $1,000 is invested in an account that pays 4% interest compounded annually, an expression that represents the amount in the account at end of three years can be given by which of the following equations?

A. 1000+0.4^3
B. 1000(0.3)^3
C. 1000(1.04)^3 ...?

Answers

The answer is C.1000(1.04)^3
Since the equation is balance = principal (1 + rate of interest) ^ time, then the correct answer should be C. 1000 (1.04)^3. 

Michael and kathryn bowl together and their combined total score for one game was 425 points. Michael's score was 70 less than twice kathryn's. which system of equations models the problem if x represents kathryn's score and y represents michael's score ?

A. x+y=70
y=2x-425

B. x-y=425
y=2x-70

C.x+y=425
y=2x-70

D. x+y=425
y=2x+70

Answers

A is the answer i just took the quiz.

Answer:

Option C is correct

[tex]x+y = 425[/tex]

[tex]y = 2x-70[/tex]

Step-by-step explanation:

Here, x represents Kathryn's score and y represents Michael's score.

As per the statement:

Michael and Kathryn bowl together and their combined total score for one game was 425 points.

⇒[tex]x+y = 425[/tex]

It is also given that Michael's score was 70 less than twice Kathryn's.

⇒[tex]y = 2x-70[/tex]

Therefore, the system of equations models the problem is:

[tex]x+y = 425[/tex]

[tex]y = 2x-70[/tex]


Which values are solutions to the inequality below?

Check all that apply.
>4


A. 17
B. 15
C. 19
D. 8
E. 4
F. 16

Answers

A, B, C, D, and F are all values that are solutions

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of
25
liters per minute. There are
600
liters in the pond to start.
Let
W
represent the amount of water in the pond (in liters), and let
T
represent the number of minutes that water has been added. Write an equation relating
W
to
T
, and then graph your equation using the axes below

Answers

The equation relating W to T is W = 600 + 25T.

Given:

The initial amount of water in the pond is 600 liters.

The water is being added at a rate of 25 liters per minute.

As time (T) increases, the amount of water in the pond (W) will increase due to the constant addition of 25 liters per minute.

The equation can be written as follows:

W = 600 + 25T

In this equation, 600 represents the initial amount of water in the pond (at T = 0), and 25T represents the additional water added for each minute of time (T).

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Rosa works due north of home. Her husband Juan works due east. They leave for work at the same time. By the time Rosa is 7 miles from home, the distance between them is one mile more than Juan's distance from home. How far from home is Juan? ...?

Answers

This is a right triangle problem. c^2 = a^2 + b^2
Let b = 7 mi (Rosa's distance from home)
Let a = the east leg (Juan's distance from home
(a+1) = c (hypotenuse, distance between them)

(a+1)^2 = a^2 + 7^2

FOIL (a+1)(a+1)
a^2 + 2a + 1 = a^2 + 49

Combine like terms
a^2 - a^2 + 2a = 49 - 1
2a = 48
a = 

a = 24 mi, Juan's distance from home

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

what is 6800/5788 please hurry

Answers

1.7484450 is the answer
6800\5788=1.17484451
that's the answer 

Which of the following statements are true of a transversal?

It is a line.
It is parallel to other coplanar lines.
It intersects two or more coplanar lines.
It bisects line segments.
It can be perpendicular to other lines.

Answers

Definition: A transversal is a line that crosses at least two other lines.

Main properties:

It is a line (A is true).It is not parallel to other coplanar lines, because it crosses them (B is false).It intersects two or more coplanar lines (C is true).It bisects line segments (D is false).It can be perpendicular to other lines, it can be perpendicular to lines which it crosses (E is true).

Answer: true are options A, C and E.

Final answer:

A transversal in Mathematics is a line that intersects two or more lines at different points, but does not necessarily have to be parallel or bisect these lines. It can, however, be perpendicular to them.

Explanation:

In the subject of Mathematics, a transversal refers to a line that intersects two or more coplanar lines at different points. Therefore, the statement 'It is a line' and 'It intersects two or more coplanar lines' are true for a transversal.

The term transversal doesn't necessitate that it be parallel to other coplanar lines, nor does it indicate that it bisects line segments, so these statements are false. However, a transversal can be perpendicular to other lines if it intersects them at 90-degree angles.

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After a certain number of moves in a chess game, the ratio of black pieces to white pieces is 4 to 3. If there are 12 black pieces on the board, which proportion can be used to find the number of white pieces?

Answers

What times 4 equals 12? 3! So if 3x4=12 then do 3x3 to find the white pieces;)

To find the number of white pieces when the ratio of black pieces to white pieces is known, set up a proportion and solve for the missing variable. In this case, the number of white pieces is 9.

To find the number of white pieces, we can use the proportion 3/4 = W/12, where W represents the number of white pieces.

Cross multiply to get 3*12 = 4*W

Therefore, 36 = 4W

Divide by 4 to find that W = 9.

What is the axis of symmetry of the function f(x) =-(x+9)(x-21)

Answers

f(x) =-(x+9)(x-21)

Manipulating algebrically,
We get,
f(x) =-(x+9)(x-21)
      = -(x^2 -21x + 9x - 189)
      = -(x^2 -12x - 189)
      = -x^2 + 12x + 189
Axis of symmetry = -b/2a
plugging the values,
x = -12/-2
   = 6

Answer:

x = 6

Step-by-step explanation:

The given equation is [tex]f(x)=-(x+9)(x-21)[/tex]

We write the equation in standard form of parabola [tex]f(x)=ax^2+bx+c[/tex] using FOIL

[tex]f(x)=-(x+9)(x-21)\\\\f(x)=-(x^2-21x+9x-189)\\\\f(x)=-x^2+12x+189[/tex]

Now, we know that the axis of symmetry passes through the vertex. Hence, in order to find the vertex of the parabola, we find the x coordinate of the vertex.

x coordinate of the vertex is [tex]-\frac{b}{2a}[/tex]

Here, a = -1 b = 12

[tex]-\frac{b}{2a}\\\\=-\frac{12}{2\cdot(-1)}\\\\=-(-6)\\\\=6[/tex]

Therefore, the axis of symmetry is x = 6

Elisa has a DVD collection. She has 10 horror movies, 20 comedies and 15 action movies. If she picks one at random to watch, what is the probability that it is an action movie?

Answers

The probability of picking an action movie is 1/3

What are the solutions to the equation x2 = 64?

A.
8 only

B.
32 and –32

C.
8 and –8

D.
32 only

Answers

[tex]x^2=64[/tex]
[tex]\sqrt{x^2}=\pm\sqrt{64}[/tex]
[tex]x=\pm8[/tex]

[tex](\pm32)^2[/tex] is 1,024.
Also, all square root functions have a positive and a negative result.

I put 80 POINTS into question please answer
In January 2008, the temperature in parts of Minnesota fell from -48 F to −12 F over a 24-hour period. What was the average temperature change per hour?

Answers

the answer is -0.4. hope this helps

Answer:

-40

Step-by-step explanation:

2. mrs. barlow's math class took a test yesterday. out of 70 students, 70% of them passed. how many of mrs. barlow's students passed the test?

Answers

70 percent of 70 is 49 students. 
49 students passed the test. 70*.7 = 49

Mikel traded Australian dollars for Thai baht at an exchange rate of 1 Australian dollar = 29.3225 Thai baht. He gave the exchanger a total of $1900 and was charged a flat fee of $40. Approximately how many Thai baht does Mikel have?

Answers

1900-40
1860*29.3225 = 52679.85 thai baht
it's actually 54539.85.
1900-40=1860
1860 x 29.3225 = 54539.85

The number of times one needs to use the completely filled cone to completely fill the cylinder with water is

Answers

it takes three cones' volume to equal a cylinder's

Answer:

Step-by-step explanation:

Given that there is a cone and cylinder with equal radius and height.

Recall volume formula for cone and cylinder as

Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]

Volume of cylinder =[tex]\pi r^2 h[/tex]

Thus we find that cylinder has a greater volume and ratio is 3:1

Hence 3 times if filled up with a cone the cylinder will be completely full

What is 40.53 ounces converted to liters?

Answers

1.1986152 is the answer.

find m KTL. Please I need help

Answers

The answer is: m∡ KTL = 66°
___________________________
Given: m∡3 = m∡4 = 123° ;

Since the sum of ALL ANGLES in ANY TRIANGLE equal 180°; 
 
    →  the m∡ KTL = 180 − ( m∡ KLT  + m∡TKL) 


We want to find

1) m∡ KLT  ; AND:
2) m∡ TKL   ,'
_____________
{Note: Alternatively, "m∡ KLT" can be written as: "m∡ TLK" ; and:
           "m∡ TKL" can be written as: "m∡ LKT" . }.
________________________________________________
Since the sum of ALL ANGLES in ANY TRIANGLE equal 180; 
 
     → m∡ KTL = 180 − ( m∡ KLT  + m∡TKL) ; 
___________________________________________
Or: →  m∡ KTL = 180 −  m∡ KLT  −  m∡TKL ; 

Since, the distributive property of multiplication states:
________________________________
    →  a* (b + c) = ab + ac ; AND
    →  a *(b − c) = ab − ac  
______________________________
Thus: m∡ KTL = 180 − ( m∡ KLT  + m∡TKL) =
 
→      180 − 1( m∡ KLT  +  m∡TKL ) ;
_____________________________________
→Note: The invisible "1" is implied, since anything multiplied by "1" equals that same value.   We treat this as "-1" (negative one), due to the "minus sign).
_______________________________________
           →  -1 * ( m∡ KLT  +  m∡ TKL ) =

           →  -1 * (1 m∡ KLT + 1 m∡TKL ) =
          
           → (-1 * 1 m∡ KLT)  + ( -1 * 1 m∡TKL ) =

           → (-1 m∡ KLT)       + ( -1 m∡TKL) = 

           →  -1 m∡ KLT − 1 m∡TKL    ; 
_________________________________
Now, bring down the "180" and rewrite: 
_____________________________________
→ 180 − 1 m∡ KLT − 1 m∡TKL ;  →  Delete the "ones" ; and Rewrite:
__________________________________________
→ 180 − m∡ KLT − m∡TKL ; 
_______________________
      → m∡ KTL = 180 − m∡ KLT − m∡TKL = 180 − (m∡ KLT + m∡TKL) ;
__________________________________________________________
→Now, solve for: m∡ KLT ;
_____________________________
→Using the diagram; m∡ KLT = 180 − m∡4 ; Given m∡4 = 123; and 
 ∡4 and ∡KLT are supplementary angles [the only two (2) angles on a particular straight line]; the sum of m∡4 and m∡KLT = 180.

           →  m∡ KLT = 180 − m∡4 = 180 − 123 = 57 .
_____________________________________________
→Now, solve for: m∡TKL  ;
______________________________
 →Using the diagram; m∡ TKL = 180 − m∡3 ; Given m∡3 = 123; and 
 ∡3 and ∡TKL are supplementary angles [the only two (2) angles on a particular straight line]; the sum of m∡3 and m∡KLT = 180.

             →  m∡ KLT = 180 − m∡4 = 180 − 123 = 57 
______________________________________________
→So, in our "triangle":  ΔKTL; we want to find the m∡T;  that is m∡KTL; 
____________________________________________
    We know that each of the other 2 (two) angles in this triangles measures 57° .
______________
So, we calculate as follows:
____________________________
Method 1:
___________
 m∡ KTL = 180 − ( m∡ KLT  + m∡TKL)
             =  180 − ( 57 + 57) = 66° .
___________________________________________
Or:  Method 2: 
___________________________________________
 m∡ KTL =  180 − ( m∡ KLT  + m∡TKL) 
              =  180 − ( 57 + 57)
              =  180 − (57 * 2) = 180 − 114 = 66° . 
________________________________________
Or: Method 3:  
_________________________
→  m∡ KTL = 180 −  m∡ KLT  −  m∡TKL
                  = 180 − 57 − 57 = 66° .
______________________________________________________
Answer:  m∡ KTL = 66° .
_______________________________________________________
→ Let us check our answer to see if it "makes sense": 
____________________________________
66 + 57 + 57 =? 180?

66 + 57 = 123;   123 + 57 =? 180 ? Yes!
______________________________________________

Solve.
 
-7/3n = -42
 
n =

Answers

Correct answer is 98

Answer:

the real answer is -18 if ur k12

Step-by-step explanation:


Solve for x: 1 over 4 (2x − 14) = 4

x = 15

x = 15 over 2

x = 9

x = 11

Answers

1/4 (2x - 14) = 4
2x - 14 = 16
2x = 30
x = 15

multiply (x-4)(x^2-5x-6) ...?

Answers

See attached photo for answer.

Answer:

The answer is:  [tex]x^3-9x^2+14x+24[/tex]

Step-by-step explanation:

The given expression is:  [tex](x-4)(x^2-5x-6)[/tex]

For getting the product, we need to distribute [tex](x-4)[/tex] with each term in the second parenthesis. So.....

[tex](x-4)(x^2-5x-6)\\ \\ =x^2(x-4)-5x(x-4)-6(x-4)\\ \\ =x^3-4x^2-5x^2+20x-6x+24 \ [using\ distribution\ rule]\\ \\ =x^3-9x^2+14x+24\ [combining\ like\ terms][/tex]

So, the answer is:  [tex]x^3-9x^2+14x+24[/tex]

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