a map is laid out in the standard (x, y) coordinate plane. how long in units, is an airplane's path on the map as the airplane flies along a straight line from city a located at (20, 14) to cuty b located at (5, 10)

Answers

Answer 1

Answer:

15.5 units

Step-by-step explanation:

If a plane flies from city a to city b, to determine how long in units the airplane's path on the map as the airplane flies along a straight line from city a located at (20, 14) to city b located at (5, 10), we will use the formula for calculating the distance between two points as shown.

D = √(x2-x1)²+(y2-y1)²

Given the location of city 'a' at a coordinate (20, 14) and city b at (5, 10)

x1 = 20, y1 = 14, x2 = 5 and y2 = 10

Distance between the two cities will be expressed as D = √(5-20)²+(10-14)²

D = √(-15)²+(-4)²

D = √225+16

D = √241

D ≈ 15.5 units

Hence, the airplane path on the map as it move from city a to b is approximately 15.5 units.


Related Questions

What does C represent in this equation (-9c)-4=-25

Answers

Answer:

[tex]c=2\frac{1}{3}[/tex]

Step-by-step explanation:

[tex](-9c)-4=-25\\(-9c)=-21\\9c=21\\c=21/9=2\frac{1}{3}[/tex]

Please answer this what is the answer to this question now

Answers

Answer:

19

Step-by-step explanation:

M is the center of the triangle, means that MR=MQ=PM

and M is the in center of the triangle=MS=MT=MU=19

PLZ HELP, AND PLZ EXPLAIN

Answers

Answer:

C

Step-by-step explanation:

To make it easy let's start by organizing our information :

AC=12 AND BD=8 ABCD is a rhombus K and L are the midpoints of sides AD and CD we notice that the rhombus ABCD is divided into four right triangles

What do you think of when you hear a right triangle ?

The pythagorian theorem !

AC and BD  are khown so let's focus on them .

If we concentrated we can notice that AB and BD are cossing each other in the midpoints . why ?

Simply because they are the diagonals of a rhombus .

ow let's apply the pythagorian theorem :

(AC/2)² + (BD/2)² = BC² 6²+4²=52BC²= 52[tex]\sqrt{52}[/tex]=BC

Now we khow that : AB=BC=CD=AD=[tex]\sqrt{52}[/tex]

This isn't enough . Let's try to figure out a way to calculate the length of KL  wich is the base of the triangle

KL is parallel to AC k is the midpoint of AD and L of DC

I smell something . yes! Thales theorem

KL/AC=DL/DC=DK/AD WE4LL TAKE OLY ONE KL/12=[tex]\sqrt{52}[/tex]/2*[tex]\sqrt{52}[/tex]  KL/12=1/2⇒ KL=6

Now we have the length of the base kl

Now the big boss the height :

notice that you khow the length of KL BD crosses kl from its midpoint and DL = [tex]\sqrt{52}[/tex] /2

What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D

DL²=(KL/2)²+D²52/4= 9+ D² D² = 52/4-9 +4 SO D=2

now the height of the trigle is H= BD-D= 8-2=6

NOw the area of the triangle is :

A=(KL*H)/2 ⇒ A= (6*6)/2=18

THE ANSWER IS 18 SQ.UN

ABCDEFGHI is a regular 9-sided polygon.
B
Diagram NOT
accurately drawn
H
o
G
D
F
E
The vertices B and E are joined with a straight line.
Work out the size of angle BEF.
(4 marks)
angle BEF

Answers

Answer:

angle BEF = 100 degrees

Step-by-step explanation:

For a regular 9-sided polygon (nonagon),

each exterior angle = 360/9=40 degrees

each interior angle = 180-40 = 140 degrees.

Referring to diagram, in the trapezoid (trapezium) BCDE, the base angles are 180-140 = 40 degrees.

Therefore angle DEB = 40 degrees

that leaves BEF = 140-40 = 100 degrees

Help with this plz! Please❤️

Answers

Answer:

1) Qs= 24.4 cm

2) Perimeter= 72.8 m

Step-by-step explanation:

1).let qs= qos

Op is the height of the the triangle

Op= ,6.8cm

Angle ops = 180-(90+50)

Angle ops = 180-140

Angle ops = 40

Os/sin ops= op/sin pso

Os/sin 40= 6.8/sin 50

Os = sin 40(6.8)/sin50

Os= 0.6428(6.8)/0.7660

Os= 5.71

Angle oqp = 180-(90+70)

Angle oqp = 180-160.

Angle oqp = 20

Oq/sin qpo = op/sin oqp

Oq/sin 70=6.8/sin 20

Oq= sin70(6.8)/sin20

Oq= 0.9397(6.8)/0.3420

Oq= 18.68

Qs= os +oq

Qs= 5.71+18.68

Qs= 24.39

Qs= 24.4 cm

2). The other angle of the triangle

=180-90-53

= 37

Sin90 = 1

Let the length and breadth be x and y

X /sin 53 = 26

X= 26(sin53)

X= 26(0.7986)

X= 20.7636

Y/sin 37 = 26

Y= 26(0.6018)

Y= 15.6468

Perimeter= 2(x+y).

Perimeter= 2( 20.7636+15.6468)

Perimeter= 2(36.4104)

Perimeter= 72.8208 m

Perimeter= 72.8 m

not sure what to do here

Answers

Answer:

P(-2 ≤ x ≤ 2) = .6

Step-by-step explanation:

Given

The data in the above table

Required

Find P(-2 ≤ x ≤ 2)

To solve for P(-2 ≤ x ≤ 2); we have to consider the boundary covered by the interval

The interval -2 ≤ x ≤ 2 according to the table is -2 , 0 and 2

Solving further;

P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) ----- (1)

From the table;

P(-2) = .33

P(0) = .16

P(2) = .11

Substitute these values in (1) above

P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) becomes

P(-2 ≤ x ≤ 2) = .33 + .16 + .11

P(-2 ≤ x ≤ 2) = .6

→Can someone help me←

Answers

Answer:

B.

Step-by-step explanation:

When written as proportions, the ratios of oranges to cups of juice are always equal.

Winnie has 17 red balloons, 33 white balloons, 65 green balloons, and 83 chartreuse balloons. With no regard to color, Winnie gives each of her 8 nearest and dearest friends some balloons. Each friend gets the same number of balloons and she hands out as many balloons as possible. How many balloons does Winnie end up keeping for herself?

Answers

Answer:

6

Step-by-step explanation:

17 + 33 + 65 + 83 = 198

198/8 = 24.75

To give the highest possible number, but the same number of balloons to each person, she gives 24 balloons to each one.

24 * 8 = 192

198 - 192 = 6

She gives away 192 balloons and keeps 6.

find the equation of the line shown

Answers

Answer:

From the graph, the y-intercept is 9 and the slope is -1 so the equation is y = -x + 9. We know the slope is -1 because when x goes up by 1, y decreases by 1.

Step-by-step explanation:

When we know both the x- and y-intercepts of a line, we can conveniently use the intercept form.

Let

A=x-intercept=9

B=y-intercept=9

the intercept form of the equation is therefore

x/A + y/B =1

substituting numerical values,

x/9 + y/9 =1  ..........................(1)

Factoring the identical denominators

(x+y)/9 = 1

Cross multiply

x+y = 9  ...............................(2)

Both (1) and (2) are valid forms of equation of the given line.

What is the measure of angle EFD? 37.5° 45° 47.5° 55°

Answers

Answer:

Step-by-step explanation:

Please try reposting with a picture so brainly users can help answer this question :)

The measure of angle < EFD = 47.5 degrees.

Option C is correct.

What is an Arc?

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference.

As, we know

The angle that an arc subtends at its centre is double that of its circumference.

In other words, the angle at the centre is twice as large as the angle at the perimeter.

So,  <EFD = 95/2

or, <EFD = 47.5 degrees.

Learn more about Arc here:

https://brainly.com/question/18741430

#SPJ5

Please answer ASAP Amanda used 24 grams of paint to paint a wooden cube. When it dried, she cut the cube into 8 equal cubes. How many more grams of paint does Amanda need to paint the unpainted surfaces of the 8 cubes?

Answers

Answer:

24 g

Step-by-step explanation:

hello,

The big cube is compose by the 8 small cubes.

Because of the symmetry we can check what's happening to one of this small cube.

As Amanda has already painted the big cube it means that the same cube has 3 faces painted, so 3 faces are left unpainted. only 50 % is painted.

so Amanda need 24 grams to paint the unpainted surfaces of the 8 cubes.

hope this helps

Classify the following triangle. Check all that apply.

Answers

Answer:

B and  C

Step-by-step explanation:

Since all of it's sides are unequal, it is a scalene triangle.

It has 1 obtuse angle, so it is an obtuse angled triangle.

What value of x is in the solution set of 9(2x + 1) < 9x – 18?
Ο Ο Ο Ο
-2

Answers

Answer:

x < -3

Step-by-step explanation:

9(2x + 1) < 9x – 18

18x +9 < 9x – 18

-9x            -9x

9x +9 < – 18

-9          -9

9x < – 27

÷9   ÷9

x < -3

HOPE THIS HELPS:)

Answer:
x < -3

Explanation:

step 1 - distribute

9(2x + 1) < 9x - 18
18x + 9 < 9x - 18

step 2 - subtract nine x from both sides of the expression

18x + 9 < 9x - 18
18x - 9x + 9 < 9x - 9x - 18
9x + 9 < -18

step 3 - subtract nine from both sides of the expression

9x + 9 < -18
9x + 9 - 9 < -18 - 9
9x < -27

step 4 - divide both sides of the expression by nine

9x < -27
9x/9 < -27/9
x < -3

Therefore, x < -3.

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(275)

Answers

Answer:

The correct option is (4).

Step-by-step explanation:

The complete question is:

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(275)?

Houses sell on the market for an average of $275,000 and stay on the market an average of 275 days before being sold.Houses sell for an average of $275,000.f(275) indicates houses stay on the market an average of 275 days before being sold.f(275) represents the average number of days houses stay on the market before being sold for $275,000.

Solution:

The function f (p) is defined as the average number of days a house stays on the market before being sold for price p in $1,000s.

The function provided is: f (275)

That is, p = $275,000.

So, the function  (275) describes the average number of days a house stays on the market before being sold for price $275,000.

Thus, the correct option is (4).

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 10 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to three decimal places.)

Answers

Answer:

1.619

Step-by-step explanation:

We have the formulas for the volume of the sphere and the cylinder:

Vs = (4/3) * pi * (r ^ 3)

Vc = pi * h * (r ^ 2)

Thus:

(4/3) * pi * (r ^ 3) + pi * h * (r ^ 2) = 10

Now, the formula for the surface area of the cylinder and sphere are:

As = 4 * pi * (r ^ 2)

Ac = 2 * pi * r * h + 2 * pi * r ^ 2

Using this equation for the total surface area of the solid, we can see that as "h" increases, so will the surface area. Therefore, the smallest surface area will occur at h = 0.

Thus:

(4/3) * pi * (r ^ 3) + pi * 0 * (r ^ 2) = 10

(4/3) * pi * (r ^ 3) = 10

r ^ 3 = 4 * 10 / (3 * 3.14)

r ^ 3 = 4.24

r = 1.619

so the radius is 1.619

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Hello!

Answer:

(x + 1).

Step-by-step explanation:

Begin by using the rational root theorem to find possible factors of this equation.

We get the following:

±1, ±3, ±1/2, ± 3/2

We can use synthetic division to check numbers to see if they are a factor of the equation. After checking the possible numbers, -1 was found to produce a remainder of 0 when calculated:

-1 | 2    1     -4     -3

  +      -2     1       3

    2    -1     -3      0

Therefore, x = -1 is a possible root of this equation. Writing this as a factor would become:

x = -1

x + 1 = 0

(x + 1) is the factor.

I hope this helped you!

   

Hiiii someone please help me I'm confused please helppp

If the length of the bases of right triangle GHI are 9 units and 15 units respectively, what is the length of the hypotenuse of GHI?

Answers

Answer:

17.5 units

Step-by-step explanation:

a² + b²= c²

9² + 15² = c²

81 + 225 = c²

c² = 306

c = √306

c = 17.5

The slope of a line is -1/3
and the y-intercept is 10/3.
What is the equation of the line written in general form?

O 10x + 3y - 1 = 0
OX + 3y + 10 = 0
Ox + 3y - 10 = 0​

Answers

Answer:

x + 3y - 10 = 0.

Step-by-step explanation:

Since the slope is -1/3 and the y-intercept is 10/3, we can have a slope-intercept form of y = -1/3x + 10/3.

Multiply all terms by 3

3y = -x + 10

Add x to both sides

x + 3y = 10

Subtract ten from both sides

x + 3y - 10 = 0.

Hope this helps!

Answer:

x+3y -10 =0

Step-by-step explanation:

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -1/3x + 10/3

Multiply each side by 3 to get rid of the fraction

3*y = 3*(-1/3x + 10/3)

3y = -x + 10

Add x to each side

x+3y = 10

Subtract 10 from each side

x+3y -10 =0

The general from is

Ax + By +C = 0 where A is a positive integer and B and C are integers

which equation describes the same line as y-3=-1(x+5)

Answers

Answer:

y = -x - 2

Step-by-step explanation:

y-3=-1(x+5)

Expand.

y - 3 = -1x - 5

Add 3 on both parts.

y - 3 + 3 = -1x - 5 + 3

y = -1x - 2

y=-x-2

y-3=-1(x+5)
y-3=-x-5
y=-x-2

The graph of y=h(x)y=h(x)y, equals, h, left parenthesis, x, right parenthesis is a line segment joining the points (1,9)(1,9)left parenthesis, 1, comma, 9, right parenthesis and (3,2)(3,2)left parenthesis, 3, comma, 2, right parenthesis. Drag the endpoints of the segment below to graph y=h^{-1}(x)y=h −1 (x)y, equals, h, start superscript, minus, 1, end superscript, left parenthesis, x, right parenthesis.

Answers

Answer:

End points of the this segment are (9,1) and (2,3).

Step-by-step explanation:

The given function is

[tex]y=h(x)[/tex]

End points of the this segment are (1,9) and (3,2).

If a function is defined as

[tex]f=\{(a,b),a\in R,b\in R\}[/tex] then

[tex]f^{-1}=\{(b,a),a\in R,b\in R\}[/tex]

It means, we have to interchange x and y-coordinates of the end points.

So, end points of the this segment are (9,1) and (2,3).

Plot these point and join them by a line segment.

The inverse of the function will be a line segment joining the points (9,1) and (2,3). See the graph.

Given information:

The function y=h(x) is a line segment joining the points (1,9) and (3,2).

So, the endpoints of the function y=h(x) can be written as,

[tex]y=h(x)=\{(1,9),(3,2)\}[/tex]

The inverse of a function is simply the opposite relation. In the inverse, the range and domain interchange themselves.

So, the inverse of the given function can be written as,

[tex]y=h^{-1}(x)=\{(9,1),(2,3)\}[/tex]

Refer to the graph of the function for more details.

For more details, refer to the link:

https://brainly.com/question/10300045

the length of rectangle exceeds its breadth by 4 cm if the length and breadth is increased by 3 cm the area of the new rectangle will be 81 squares more than that of the given rectangle find the length and breadth of the given rectangle check your solution​.

Answers

Answer:

The length and breadth are 14 cm and 10 cm

Evaulate 9^sqrt{3} in it to the nearest ten thousandth

Answers

Answer:

44.957

Step-by-step explanation:

All we can do is estimate √3 and then exponent 9 by it.

Alternatively, plug it into a calc and calculate.

-5(p+3/5)=-4 solve for p

Answers

Answer:

p=1/5

remove brackets

-5p-3=-4

move constant to right

-5p=-4+3

-5p=-1

divide both sides by -5

p=1/5

Answer:

1/5

Step-by-step explanation:

We can use solving for variables here.

-5(p+3/5)=-4

-5p+-3=-4

p=1/5

Marcel used the multiplication table below to determine that 72:24 is equivalent to 6:18. A multiplication table. In the row labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 23, and 27 are highlighted. In the row labeled 9, the numbers 9, 18, 27, 36, 45, 54, 63, 72, and 81 are highlighted. What was Marcel’s error? Marcel did not look at the correct rows in highlighted columns. Marcel did not choose numbers from the highlighted columns. Marcel did not put the first and second terms in the same order. Marcel did not use numbers from the same row to create each ratio.

Answers

Answer:

The correct option is;

Marcel did not put the first and second term in the same order

Step-by-step explanation:

From the multiplication table the equivalent ratios of two numbers can be found given that the two numbers have the same factors which is true if the numbers are on the same column in the multiplication table

Therefore, having the numbers ratio presented in the form 72:24 which are on the row labelled 3 and the row labelled 9, we have that the 72 is on row 9 while the 24 is on row 3, for which on the second column, we have 6:18

However the ordering of the ratio gives the value on the 9th column first before the value on the 3rd column, so that the correct result should be 18:6

The error was that Marcel did not put the first and second term in the same order.

Answer:

C

Step-by-step explanation:

What is the shape of the cross section of a sphere?

Rectangle

triangle

ellipse

circle

Answers

All cross sections of spheres are “circles”

Answer:

the correct answer is circles

Step-by-step explanation:.

Find the relative size T of the shock wave of earthquakes with magnitude 8.3, as measured on the Richter scale (Answer in scientific notation, rounded to the nearest hundredth).

Answers

Answer:

199,526,231.50

Step-by-step explanation:

Mathematically, we use the Logarithmic relation below;

R = Log T

8.3 = Log T

T = (Log)^-1 8.3

T = 199,526,231.49688828

Which to the nearest hundredth is T = 199,526,231.50

2^5×5×11 and 2^3×5^2×7​

Answers

Answer:

1. 1760

2. 1400

Step-by-step explanation:

2^5 = 32

32 × 5 = 160

160 × 11 = 1760

2^3 = 8

5^2 = 25

8 × 25 = 200

200 × 7 = 1400

the value of x is and the value of y is

Answers

Answer:

x = 60, y = 50

Step-by-step explanation:

60 + 50 = 110 + 70 = 180.

50 + 70 = 120 + 6 = 180.

Therefore 50 + 70 + x = 60

Therefore 70 + 60 + y = 50

Answer:

x = 60°y = 50°

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

x + 70 + 50 = 180

x + 120 = 180

x = 60

The other triangle's missing angle:

180 - 60 - 50 = 70

Angles on a straight line add up to 180 degrees.

70 + x + y = 180

We know the value of x.

70 + 60 + y = 180

Solve for y.

130 + y = 180

y = 180 - 130

y = 50

Suppose N coins lie heads up on a table. In one turn, you can turn over any (N−1) coins. Is it possible that N coins could lay tails up in any number of turns, if a N=15 ?

Answers

Answer:

The answer is no

Step-by-step explanation:

no

Find the value of x in each case:

Answers

Answer:

25.5°

Step-by-step explanation:

the sum of angle NMR and MRS is 180, so

2x + x + x + 78 = 180

4x = 180 - 78

4x = 102

x = 102/4 = 25.5°

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