At soccer practice, Laurel and Erika stook back to back at the center of the field. Erika ran 20 yards south and 13 yards east. Laurel ran 24 yards north and 18 yards west. Once there, Erika kicked a soccer ball in a straight line to Laurel. How far, to the nearest tenth of a yard, did the ball travel to get from Erika to Laurel?

Answers

Answer 1
The ball traveled 53.9 yards

Related Questions

Please help! I have not seen a correct answer yet :(

A standard six-sided die is rolled 6 times. You are told that among the rolls, there was one 1, two 2's, and three 3's. How many possible sequences of rolls could there have been? (For example, 3,2,3,1,3,2 is one possible sequence.)

Answers

Answer:

60 possible sequences.

Step-by-step explanation:

That would be 6! / 3! 2!

   6*5*4*3*2*1

=  ------------------

     3*2*1*2*1

= 5*4*3

= 60.

algebra applications ​

Answers

Answer:

X=55°

Y=30°

Step-by-step explanation:

2y=x+5

Y=1/2x+2.5

3y+30=4x-100

3(0.5x+2.5)+30=4x-100

1.5x+7.5+30=4x-100

4x-1.5x=137.5

2.5x=137.5

X=55°

Y=30°

Answer:

[tex]x = 55\\y = 30\\[/tex]

Step-by-step explanation:

Finding x:

4x - 100 + x + 5 = 180 (Angles on a straight line)

5x - 95 = 180

5x = 180 + 95

5x = 275

Dividing both sides by 5

x = 55

Finding y:

2y + 3y +30 = 180 (Angles on a straight line)

5y = 180-30

5y = 150

Dividing both sides by 5

y = 30

Identify the vertex of the parabola plssss..!!!!!!

Answers

Answer:

the vertex is (4,-1)

Find the distance of point U(2, 3) from point V(5, 7).​

Answers

Answer:

5

Step-by-step explanation:

You can draw a point at (5,3) and call it point A.

Connect point A with V and U to get VA = 4 and UA = 3.

You get a right triangle and use pythagoream theroem. The answer is the root of 4^2 + 3^2 which equals to 5.

The answer is 5

Which of these numbers has the greatest absolute value-3 1 -9 5

Answers

I believe it is the 9, with absolute values the number will always be positive so the absolute value of -9 is 9, which is the greatest out of all the options

Factor. x2−8x+16
(x+8)2
(x−4)2
(x+4)2
(x−8)2

Answers

Answer:

B

Step-by-step explanation:

[tex]x^2-8x+16= \\\\(x-4)(x-4)=\\\\(x-4)^2[/tex]

You can confirm this by working in reverse:

[tex](x-4)^2= \\\\(x-4)(x-4)=\\\\x^2-4x-4x+16=\\\\x^2-8x+16[/tex]

Hope this helps!

Answer:

(x−4)^2

Step-by-step explanation:

I did the test

In the diagram below, if
AEB=50°, find the measure of
AED.

Answers

Answer: 130ᴼ

Step-by-step explanation:

BD is a straight line so AEB and AED add to equal 180ᴼ

180 - 50 = 130

Answer:

AED = 130

Step-by-step explanation:

AEB and AED form a straight line so they add to 180 degrees

AEB + AED = 180

50 + AED = 180

Subtract 50 from each side

AED = 180-50

AED = 130

What is the area of the figure?
2ft
1 1/3 ft
1/3 ft
5 ft

Answers

Answer:

12

Step-by-step explanation:

Graph the equation by plotting three
points. If all three are correct, the line
will appear.
2y = 3x + 11

Answers

Answer:

y=3/2x+11/2

Step-by-step explanation:

divide the whole thing by 2

2y=3x+11 divided by 2 equals

y-3/2x+11/2

then just plug in the 3 points

Y-3/2 time +11/2 that the answer

Expand 4(2x - 3)
Please

Answers

Answer:

4(2x) 4(-3)

Step-by-step explanation:

Separate the two parts of what is inside of the parentheses to “expand” it.

Answer:

The correct answer is

2x − 3

You can expand using the binomial expansion theorem.

Hope this helps!

- Quinn <3

Simplify √ 20 x 8 y 9 to the form a √ b .

Answers

Answer:

Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?

Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.

Answers

Answer:

one dollar 75 cents

Step-by-step explanation:

lets write the original equation again

5v+7f=28.70

now, lets put in the cost of the fruit to find cost of veggies

5v+7(2.85)=28.70

5v+19.95=28.70

5v=8.75

5=1.75

Answer:

Answer: $1.75

Step-by-step explanation:

Each pint of fruit = $2.85

7 pints of fruit = 2.85 x 7 = 19.95

5 pints of veggies will cost

28.70 - 19.95 = 8.75

Each pint of veggies = 8.75 / 5 = 1.75

So this isn’t a test I just want to make sure I’m writing this correctly.

I have written 2x-18=-2y+12
Then I added 18 is that correct so far.

Answers

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex]2x-18=-2y+12[/tex]

[tex]y=12[/tex]

[tex]2x-18=-2(12)+12[/tex]

[tex]2x-18=-24+12[/tex]

[tex]2x-18=-12[/tex]

[tex]2x-18+18=-12+18[/tex]

[tex]2x=6[/tex]

[tex]\frac{2x}{2} =\frac{6}{2}[/tex]

[tex]x=3[/tex]

Answer:

x = 3

Step-by-step explanation:

=> 2x-18 = -2y+12

Given that y = 12

Putting in the above equation to get the value of x

=> 2x-18 = -2(12)+12

=> 2x-18 = -24+12

=> 2x-18 = -12

Adding 18 to both sides

=> 2x = -12+18

=> 2x = 6

Dividing both sides by 2

=> x = 3

Solve the system of linear equations by elimination.
-
- 3x + 4y = 18
6x+2y = -6

Answers

Answer: (-2,3)

Step-by-step explanation:

-3x + 4y = 18

6x + 2y= -6        we have to eliminate one of the variables so you will have ot

2(-3x + 4y) = 18(2)     multiply the first equation by 2.  

-6x + 8y = 36

6x +  2y = -6       now we could eliminate the x terms by adding them and

 0  +   10y= 30   remember that is a new equation.  

        y=  3

Now we know that the y solution is 3 so we will put it into one of the equations and solve for x.

-6x + 8(3)=36

-6x + 24= 36

         -24   -24

-6x =  12

x= -2

The solution for the system of given linear equations is (-2, 3).

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are -3x + 4y = 18 ----(I) and 6x+2y = -6 ----(II).

By elimination method,

Multiply equation (I) by 2, we get

-6x+8y=36 ----(III)

Add equation (II) and (III), that is

-6x+8y+6x+2y=36-6

10y=30

y=3

Substitute, y=3 in -3x + 4y = 18, we get

-3x+4(3)=18

-3x=6

x=-2

Therefore, the solution for the system of given linear equations is (-2, 3).

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Which of the following graphs represents exponential decay?

Answers

Answer:

C

Step-by-step explanation:

C is the only viable answer, because it it the only one that decreases as x approaches infinity. Exponential decay decreases, hence the decay part.

The graph of the unknown function C represents exponential decay.

The correct option is C.

What is exponential decay?

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Given:

Two graphs of the unknown functions are given.

And when the value of x approaches to positive infinity,

the value of y decrease exponentially.

And from the above definition,

the graph is C.

Therefore, the graph is C.

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The table shows the function representing the height in the area of the base of a rectangular prism for different values of X the volume of the prism when X = 3 is 36 which equation can be used to represent the volume of the prism, v(x)?

Answers

Answer:

A

can i have brainliest lol

Step-by-step explanation:

when x = 3, the volume is 36.

4 times 9 = 36, so you multiply f(x) by g(x) to get 36

Can someone help me ???????

Answers

Answer:

Step-by-step explanation:

15/3= 5

Orrrr

15/-3=-5

How to convert 1/4 to decimal form. How do I start that ? I obviously know it’s .25 but how do I show work ?

Answers

Answer:

(1/4 x 1 ) = 0.25

or (1/4) x 1 = 0.25

Step-by-step explanation:

We are doing the opposite to finding 25%

Which is 1/4 of 100%

We do this an opposite (not as inverse)

To find percentage increase as you can compare below.

or as percentage increase

230 x 0.25 (x 100) = 287.50  

Even though we are not finding increase for 1/4 by changing it to decimal form, this practice does use the (x1) element in brackets and does identify the distribution.

Answer:

Use a calculator or use long division. See long division below.

Step-by-step explanation:

Use a calculator or use long division.

Long division:

               ------------------------------

        4     |  1

4 does not go into 1, so add a decimal pace to 1.

                    0.

                   ------------------------------

            4    |  1.0

4 goes into 10 2 times.

                      0.2

                   ------------------------------

             4    |  1.0

             -          8

           --------------

                        2

There is a remainder, so bring down another 0.

                      0.2

                   ------------------------------

             4    |  1.00

             -          8

           --------------

                        20

4 goes into 20 5 times.

                    0.25

                   ------------------------------

             4    |  1.00

             -          8

           --------------

                        20

               -        20

             --------------

                            0

The remainder is zero.

1/4 = 0.25

Given a = -3 and b= 4 and c=-5, evaluate
atb
C
-1/5
O 1/5
0 -7/5

Answers

Answer:

I got - 5 as an answer.

I don't think I made a mistake.

Please if you find any error, contact me in the comment section.

Step-by-step explanation:

[tex]a = -3 , b= 4 ,c= - 5\\(a+b)c\\(-3+4)-5\\(1)*(-5)\\Answer = -5[/tex]

The red figure is the transformed image of the blue figure. Malcolm correctly identifies a sequence of two transformations that can move the blue figure onto the red figure. Ursa correctly identifies a single transformation that can be used. Use the drop-down menus below to complete the statements describing the transformations they used.

Answers

Answer:

Step-by-step explanation:

Malcolm's transformation:

First, the blue image is reflected about the line y=-5

Then it is rotated 180 degrees around the point (0,-5)

(you can have other options this is just one example)

Ursa's transformation:

The blue image is reflected about the y axis

(you can have other options this is just one example)

First the blue image with coordinates (x, -y) is translated to get (-x, -y) then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.

What is transformation?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

First the blue image is translated

Then it is rotated 180° to get the red figure with coordinates (-x, -y)

Two transformation that is equivalent to a reflection

Hence, the two transformations are;

First the blue image with coordinates (x, -y) is translated to get (-x, -y)

Then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.

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measurement of these angles

Answers

Answer:

1= 105, 2= 75

Step-by-step explanation:

Based on the 75 degree angle, since alternate interior angles have the same measurements, angle 2 will also measure 75 degrees. Furthermore, since angle 1 and angle 2 are supplementary angles, angle 1 will be 105 degrees because 105 + 75 is 180.

I need help asap pls help me

Answers

Answer:

36 ft

Step-by-step explanation:

The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:

[tex]x=\sqrt{10^2+24^2}=\sqrt{100+576}=\sqrt{676}=26[/tex]

Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!

Triangle JKL has vertex coordinates J(0,-3), K(-1,0), and L(-2,-1). It is reflected across the line y = x. What are the coordinates of J’K’L?

A. J’(0,-3), K’(1,0), L’(2,-1)
B. J’(-3,0), K’(0,-1), L’(-1,-2)
C. J’(3,0), K’(0,1), L’(1,-2)
D. J’(0,3), K’(-1,0), L’(-2,1)

Answers

Answer:

B

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ), thus

J(0, - 3 ) → J'(- 3, 0 )

K(- 1, 0 ) → K'(0, - 1 )

L(- 2, - 1 ) → L'(- 1, - 2 )

Answer:

yee its B

Step-by-step explanation:

In the diagram below of circle o, chords AB and CD intersect at E.
If CE = 10, ED = 6, and AE = 4, what is the length of EB?


AWARDING MAX POINTS

Answers

Answer:

The length of EB is found 15

Step-by-step explanation:

As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding)

We can see in the diagram the chord AB and chord CD intersect each other at point E.

Each of the chord is divided into two segments.

According to the Intersecting Chords Theorem:

Products of the lengths of line segments on each chord are equal

Which means that

(AE)(EB) = (CE)(ED)

Substitute the given values;

(4)(EB) = (10)(6)

4(EB) = 60

EB = 15

Answer:

The length of EB is found 15

Step-by-step explanation:

As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding) We can see in the diagram the chord AB and chord CD intersect each other at point E. Each of the chord is divided into two segments. According to the Intersecting Chords Theorem: Products of the lengths of line segments on each chord are equal Which means that (AE)(EB) = (CE)(ED) Substitute the given values; (4)(EB) = (10)(6) 4(EB) = 60 EB = 15

What is the measure of arc AB? A) 60° B) 75° C) 125° D) 150°

Answers

Answer:

150

Step-by-step explanation:

The arc would be the same as the angle that is in it's center because this is a circle.

The measure of arc AB is equal to the 150 degree, as central angle is equal to the intercepted arc. Option D is the correct option.

What is the central angle of the arc?

The central angle is the angle which is subtended by the arc of the circle at the center point of that circle. The formula which is used to calculate the central angle of the arc is given below.

[tex]\theta=\dfrac{s}{r}[/tex]

Here, (r) is the radius of the circle, (θ) is the central angle and (s) is the arc length.

In the given circle, suppose the center of it is O. The central angle AOB given as,

[tex]\angle AOB=150^o[/tex]

The central angle is equal to the intercepted arc of the angle. Thus,

[tex]\text {arc } AB=\angle AOB\\\text {arc } AB=150^o[/tex]

Thus, the measure of arc AB is equal to the 150 degree as central angle is equal to the intercepted arc. Option D is the correct option.

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A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal. A rhombus ABCD is shown with diagonal AC equal to 14.6 feet and diagonal BD equal to 12.1 feet What is the area of the farm? 48.4 square feet 53.4 square feet 88.33 square feet 117.76 square feet

Answers

Answer:

88.33.. ft²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] product of diagonals , thus

A = 0.5 × 14.6 × 12.1 ≈ 88.33 ft²

Answer:

We could try another method to check, where we highlight each right angle as each is congruent from centre point.

1/2 7.3 base = 3.65 x 6.05 = 22.0825 x 4 = 88.33unit^2

Step-by-step explanation:

PLEASE HELP ASAP- What is the quotient of the integers closest to the square root of 254 and the square root of 62?

Answers

Answer:

2

Step-by-step explanation:

sqrt(254) is in between 15 and 16, closer to sqrt(256), which is 16

sqrt(62) is in between 7 and 8, closer to sqrt(64), which is 8

thus 16/8 is 2

Mention a few number systems and explain in brief​

Answers

Answer:

Step-by-step explanation:

The  system is common use is the decimal system which is based on 10;

So for example the number 45 :

45 = 4 * 10^1 + 5 * 10^0  and

132 = 1*10^2 + 3*10^1 + 2*10^0.

The single  digits in the decimal system are 0,1,2,3,4,5,6,7,8 and 9 .

Then we have 10, 11 and so on

Then there is the binary system which is based on 2 digits

In this system there are only 2 digits 0 and 1, so

10 binary = 1*2^1 + 0*2*0  which is equivalent to 2 in the decimal system.

111 binary = 1*2^2 + 1*2^1+ 1*2*0  = 4 + 2 + 1 = 7 decimal

Another system is the octal system, based on 8.

The digits are 0,1,2,3,4,5,6,7

So 10 octal = 8 + 0 = 8 decimal

and  17 octal = 1*8^1 + 7* 8^0  =   8 + 7 = 15 decimal.

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other. Which equation represents x, the side length of the greater square? x2 + (x – 2)2 = 10 x2 + 2x2 = 10 x2 + (x – 2)2 = 100 x2 + 2x2 = 100

Answers

Answer: It should be x^2 + (x-2)^2 = 100

Step-by-step explanation: the ^ is used to indicate an exponent when superscript is not available.

The solution to the correct equation will be x = 8. x -2 would be 6

8^2 = 64. 6^2 = 36. 64+36 = 100.

The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]

Calculation of the equation:

Since

A group of students is given a 10 by 10 grid to cut into individual unit squares.

So here the equation be like [tex]x^2 + (x-2)^2 = 100[/tex]

Hence, The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]

Learn more about an equation here: https://brainly.com/question/17069398

Answer plz!
Which choices are equivalent to the expression below? Check all that apply.

Answers

The right options are:

Option AOption COption E

please see the attached picture

Hope it helps

Good luck on your assignment

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