An indoor soccer field is a rectangle that is 700 feet long by 250 feet wide. Coach Garza is having his players run diagonally from one corner of the field to the opposite corner. What is the distance the players must run?

Answers

Answer 1

Answer: 743.30343766 . . . ft

Round it to whatever place your teacher requires it to be at.

Step-by-step explanation: So, this question can be treated as one in which you need to find the hypotenuse. If you cut the soccer field diagonally, the length and width are still the same. The two legs of our triangle are 700 ft and 250 ft. The formula for finding the hypotenuse is a²+b²=c². Input the numbers, and it becomes 700²+250²=c². 700² is 490,000 and 250² is 62,500. 490,000 + 62,500 = 552,500. This means that 552,500 is c², and in order to find c, or the hypotenuse/diagonal, we need to find the square root of 552,500. The square root of 552,500 is 743.3034376 . . . , which you can round to whatever place you need it to be at.


Related Questions

During Sonia’s trip across the country, she traveled 2,905 miles. Her trip took her 7 days to complete. How many miles did Sonia drive in 5 days?

Answers

Answer: 2075

Step-by-step explanation:

Sonia traveled 2905 miles in 7 days

2905/7=415 miles/day

415*5=2075 miles

The sales tax in your city is
4.4% and an item costs
$3 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.

Answers

Answer:

$0.13

Step-by-step explanation:

To find how much tax you would pay, find 4.4% of 3:

3(0.044)

= 0.132

Round to the nearest hundredth:

0.132

= 0.13

So, you would pay $0.13 in tax

i need help with this question for my maths classwork

Answers

Note: Please note that you missed adding the option points. So, I am solving the entire function to determine the points and the vertex which would anyways clear your concept.

Answer:

The vertex is located at (3, 7)

some of the points will make the table such as:

x       0           1           2          3          4

y      -2          3           6           7          6

The graph is attached below.

Step-by-step explanation:

Given the table

[tex]y\:=\:6x-2-x^2[/tex]

The given equation is of the form quadratic function y = ax² + bx + c. Thus, it represents the Parabola.

As the leading coefficient of the parabola is -2, thus the Parabola opens down.

We know that the vertex would be the highest point on the Parabola graph if the graph (Parabola) opens down.

Thus, the given Parabola has the vertex point at the highest point of the Parabola as shown in the attached figure.

Finding the Vertex:

y = -x² + 6x - 2

comparing with y = ax² + bx + c

a = -1, b = 6, c = -2

Finding the x-coordinate of the Vertex

x = -b / 2a

x = [-6] /[2(-1)]

x = [-6 ] / [-2]

x = 6/2

x = 3

Thus, the x-coordinate of the vertex : x = 3

Now substituting x = 3 in the equation y = -x² + 6x - 2 to determine the y-coordinate of the vertex

y = -x² + 6x - 2

y = -(3)²+6(3)-2

y = -9 + 18 - 2

y = 18 - 11

y = 7

Thus, the y-coordinate of the vertex : y = 7

Therefore, the vertex is located at (3, 7)

Now, finding some other points lie on the Parabola

y = -x² + 6x - 2

Putting x = 0 in the main function

y = -(0)² + 6(0) - 2

y = 0 + 0 - 2

y = -2

Thus, the y-intercept lies on (0, -2)

Putting x = 1 in the main function

y = -x² + 6x - 2

y = -(1)² + 6(1) - 2

y = -1 + 6 - 2

y = 3

Thus, the point (1, 3) lies on the Parabola

Putting x = 2 in the main function

y = -x² + 6x - 2

y = -(2)² + 6(2) - 2

y = -4 + 12 - 2

y = 6

Thus, the point (2, 6) lies on the Parabola

Putting x = 3 in the main function

y = -x² + 6x - 2

y = -(3)² + 6(3) - 2

y = -9 + 18 - 2

y = 7

Thus, the point (2, 7) lies on the Parabola

Putting x = 4 in the main function

y = -x² + 6x - 2

y = -(4)² + 6(4) - 2

y = -16 + 24 - 2

y = 6

Thus, the point (4, 6) lies on the Parabola

Hence, some of the points will make the table such as:

x       0           1           2          3          4

y      -2          3           6           7          6

The graph is attached below.

Can someone help me with Question 2? 4a 3(a 2) = 2(3a 2)

Answers

Answer:

6a + 2

Step-by-step explanation:

2 ×3a = 6a 2×2 = 4

it gives 6a + 4

(If this is wrong, it would be better to attach an image)

PLEASEEE SOMEBODY HELP MEEEE PLEASE BRAINLY IF CORRECT!!!!!!
Which type of movement of Earth's crust caused these layers to be higher in
the background than they are in the foreground?
A. Shearing
B. Uplift
C. Compression
D. Vibration

Answers

Answer:

i'm not entirely sure but taking an educated guess, id say uplift

Step-by-step explanation:

Mean of three numbers is 0 then what is mean of their cubes

Answers

Answer:

  [tex]\frac{x^3+y^3+z^3}{3} =0[/tex]

Step-by-step explanation:

From the question we are told that

mean of three numbers is zero

Generally mean refers to average of number

Let

x, y, z be the three numbers with a mean of zero

T the mean of there cubes

Mathematically the mean of these three numbers is given as

     [tex]\frac{x+y+z}{3} =0[/tex]

     [tex]x+y+z =0[/tex]

and there cubes

     [tex]\frac{x^3+y^3+z^3}{3} =T[/tex]

     [tex]x^3+y^3+z^3=3T[/tex]

Mathematically solving the above equations by substitution method

 [tex]x+y+z =0......1[/tex]

 [tex]x^3+y^3+z^3=3T ......2[/tex]

 [tex]x=-y-z ...3[/tex]

equating 3 in 2

   [tex]-y^3-z^3+y^3+z^3=3T ..... 4\\3T=0[/tex]

    [tex]T=0[/tex]

Therefore the mean of the cubes of the three number is 0

     [tex]\frac{x^3+y^3+z^3}{3} =0[/tex]

A store is having a sale where everything is discounted 30%. Find the discount and the sales price if a customer buys an item that normally sells for $365.

Answers

Answer:

The discount is $109.50 and the sales price is $155.50

Step-by-step explanation:

30% of 365 is 109.5

356-109.5=155.5

Number seven and eight write a linear function F in slope intercept form with the given values show work

Answers

Answer:

i need more info

Step-by-step explanation:

7 - (6,-2) , (0,-5)
8- (-5,2) , (7,-4)

And then use the formula y-y1=m(x-x1) hope it helps u get started

A circular running track is mile long. Elena runs on 4 1 this track, completing each lap in of an hour. What is 20 Elena's running speed? Include the unit of measure.​

Answers

Answer:

=3/4/1/20 miles per hr. =15 miles per hr.

Step-by-step explanation:

Speed equals distance and time

Please, need this ASAP!!!

Answers

I have only solved (a) question as I don’t have time

The graph of a linear system is shown.
y
5
7-6-5-4-3-2-1,
2 3 4 5 6 7 8
What is the solution to this linear system? Enter a value in each box to create an ordered pair.

Answers

Answer:

(-1, 7)

Step-by-step explanation:

From the graph attached,

There are two lines representing the system of linear equations.

Solution of two linear equations is represented by a common point or point of intersection on the graph.

Point of intersection of the linear system of equations given in the graph → (-1, 7)

Therefore, solution of the linear system is (-1, 7).

a weights m kg,b weight is 20 kg less than three times that of a. If their total weight is 100 kg. Find the weight of a​

Answers

Answer:

30kg

Step-by-step explanation:

what we know is that 3a - 20kg is b. and if a + 3a -20kg = 100kg, it becomes algebra .

So, we move it over to the sides:

4a = 120kg

(here i moved -20kg to the 100kg and did the reverse. I also added the a's)

which means a = 120kg divided by 4

a = 30kg

I need help in this, please

Answers

Answer:

Please check explanations

Step-by-step explanation:

Here, we want to get the following;

1. Initial deposit

The initial deposit is the value of y when x = 0

We can see this at x = 1000

2. slope and y-intercept

The y-intercept is the y-value of the graph when x = 0

It is the point at which the graph crosses the y-axis

From the plot, we can see that the y-intercept is 1000

To get the slope, we select and two points on the graph and apply the slope formula

The points selected are;

(2,2000) and (4,3000)

The formula for the slope is;

y = (y2-y1)/(x2-x1)

y = (3000-2000)/(4-2) = 1000/2 = $500 per month

3. Generally the equation of a line is;

y = mx + b

where m is slope and b is the intercept

So the equation will be;

y = 500x + 1000

4. The meaning of slope in the graph represents the unit of amount saved per month in the plan. It is just giving us a breakdown of what’s saved by each month on the plan

Walter bought 500 marbles at the swap meet. Two-fifths of them
were blue. How many marbles were not blue?

Answers

Step-by-step explanation:

2/5 of marbles are blue

= 3/5 of marble are not blue.

Number of non-blue marbles = 500 * (3/5) = 300.

300 marbles are not blue.

what is –1 + (–11) and how do you solve

Answers

Answer:-12

Step-by-step explanation:

When adding if both are negatives just add and when your done add the negative symbol.

Answer: the answer is 12

Step-by-step explanation:

cause i think it goes like a negative plus  a negative is a positive

Mohammad divide Rs 82000 into two parts such that the amounts at 5% per annum compound interest in 2 years and 3 years are equal respectively.How much amount does he divide?

Answers

Answer:

Rs 42000 and Rs 40000

Step-by-step explanation:

Given that Rs 82000 is divided into two parts.

Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.

The rate of interest = 5%=0.05

The total amount after 2 years [tex]= x(1+0.05)^{2}\cdots(i)[/tex]

The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.

The total amount after 3 years [tex]= (82000-x)(1+0.05)^{3}\cdots(ii)[/tex]

As both the amounts are equal, so from equation (i) and (ii)

[tex]x(1+0.05)^{2}=(82000-x)(1+0.05)^{3} \\\\x(1.05)^{2}=82000(1.05)^{3} -x(1.05)^{3} \\\\x(1.05^2+1.05^3)=82000\times 1.05^3 \\\\x(2.260125)=94925.25 \\\\x=94925.25/2.260125 \\\\[/tex]

x= 42000

And the other part = 82000-42000 = Rs 40000

Hence, he divides the money as

Rs 42000 at 5% per annum compound interest in 2 years and

Rs 40000 at 5% per annum compound interest in 3 years.

how do i solve for x

Answers

Answer:

wdym

Step-by-step explanation:

Answer:

x = −8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

(x + x)  + (75 +53 + 68) = 180 (Combine Like Terms)

2x + 196 =180

Step 2: Subtract 196 from both sides.

2x + 196 − 196 = 180 −196

2x = −16

Step 3: Divide both sides by 2

x = -8

Hope this helps!!!

I really need help with I’ve been on this for a week now (right answer only) I’m giving brainliest.

Answers

Answer:

y+52=180(being co8nterior angle)

y=180_52

y=128

or,(6x+4)+52

6x=56

x=56÷6

x=9.333

Find each missing angle measure
3=
4=

Answers

Answer:

<4 = 88

<3 = 92

Step-by-step explanation:

The sum of the angles of a triangle is 180

<4 + 45+ 47 = 180

<4 + 92 = 180

< 4 = 180-92

<4 = 88

We know the <3 and <4 form a line

<3 + <4 = 180

<3 + 88 = 180

< 3 = 180-88

<3 = 92

Please help me find the value of x

Answers

67.5 because 90 + 4x =360

If AABC = ADEC,
LC = 55°, ZD = 65°, and ZB = 2x
D
С
В B.
x = [?]

Answers

Answer:

x = 30

Step-by-step explanation:

65 + 55 = 120

angle B must equal 60

angle B is labeled as 2x

set up equation to solve for 'x':  2x = 60

                                                     x = 30

add up all angles to make sure you get 180 degrees

x ÷ 7 + 1 = 5 find the value of x​

Answers

Answer:

28

Step-by-step explanation:

x/7+1=5

-1       -1

x/7=4

x/7*7=4*7 ( do the inverse operation to get rid of 7, which is multiplication)

x=28

Answer:

x=28

Step-by-step explanation:

x÷7+1=5

Firstly,

Group like terms

x÷7=5-1

x÷7=4

Secondly,

So now 7 will cross the equal sign

x=4×7

We have ×7 because when a number number with a division sign crosses an equal sign it becomes multiplication.

x=28

I need this fasttttt!!!!!

Answers

Answer:

+ + 1

Explanation:

B+A = A+B

1+() = <1

HELP, i’m not the best in math... will give brinley. SHOW WORK.

3x^2-5x+5y-4+12x

Answers

Answer:

 simplified: 3x^2+7x+5y-4

Step-by-step explanation:

all you gotta do is you add -5x and 12x

Help me out!
Identify the function that reflects f(x) = 14x^3 − 7x^2 + 6 across the y-axis and shifts it 6 units up.
1: h(x) = 14x^3 − 7x^2
2: h(x) = −14x^3 − 7x^2 + 12
3: h(x) = 14x^3 + 7x^2 + 12
4: h(x) = −14x^3 − 7x^2

Answers

Answer:

[tex]\boxed 3 \: h(x) = 14 {x}^{3} - 7 {x}^{2} + 12[/tex]

Solve each of the following equations

Answers

Answer:

a. x = 10

b. x = 3/5

c. x = 16

d. x = 21/32

Step-by-step explanation:

For all of these problems, it would be simpler to get rid of the fractions entirely and to do that you need to multiply each part of the equation by the least common denominator (LCD; the first a number or variable that both of the denominators can be divided evenly by((you get it by multiplying the denominators by that number/variable (8*1, 8*2,8*3, etc.) and stop until both denominators are the same)) of what you're adding in this case.Note that if the denominators that you're adding are the same then you just multiply everything by that.Also note that the LCD's do not replace the denominators pf the original equation! Simply multiply the numerators by the LCD and then solve the problem accordingly!

a - 2x/3 + (x+3)/3 = 11

For this case, the least common denomimator is 3. Multiply everything by 3. This leaves 2x + x+3 = 33. Combine like terms. 3x+3 =33 Subtract 3 from 33, leaving 30 and finally divide 30 by 3x to get 10, your answer.

b - 3/x + 6/x = 15

Multiply everything by x. This leaves 3 + 6 = 15x. Combine Like Terms so 9 = 15x. Divide 9 by 15, leaving x to be 9/15, or 3/5 when simplified (both 9 and 15 can be divided by 3).

c - x/2 + x/8 = 10

In this case, the LCD is 16. So multiply everything by 16, leaving 16x/2 + 16x/8 = 160. Simplify, leaving 8x + 2x = 160. Combine like terms, so 10x = 160. Divide 160 by 10, leaving you with 16.

d - 4/x + 5/4x = 8

The LCD isn't always going to be a number as seen here and in b, but they were the same as if it were a number. Here the LCD is 4x so multiply everything by 4x. This leaves you with 16x/x +20x/4x = 32x. Simplify accordingly, leaving you with 16 (x variables cancel) + 5 =32x. Simplify yet again, leaving 21 = 32x. Divide 21 by 32, leaving you with 21/32 as your answer (the answer can't be simplified further).

Apologies for the long explanations--it's not something I do very well.

Help me PLEASE!



You need to make at least 360 wraps for a party. You can make 9 wraps per minute.
How long will it take you to make the number of wraps you need?

In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.

Answers

Step-by-step explanation:

for 1 min=9 wraps

for x(unknown minutes)=360 wraps

so I crossed multiply:

9x=360

x=360/9

x=40

so it takes 40 minutes to make 360 wraps

9 is 50% of what number?

Answers

its 18 bc half of 18 is 9 so ye

Answer:

18

Step-by-step explanation:

18*0.50=9

hope this helped!!

A water pump fills a swimming pool at a rate of 80
cubic feet per hour. A swimming pool measures 10
feet by 8 feet by 5 feet. How many hours will it take
the pump to fill the pool?


I know it’s really late at now or early in the morning but can someone plz help me on this plz

Answers

9514 1404 393

Answer:

  5 hours

Step-by-step explanation:

The volume of the pool is ...

  V = LWH

  V = (10 ft)(8 ft)(5 ft) = 400 ft^3

At the given fill rate, the time it will take is ...

  (400 ft^3)/(80 ft^3/h) = 5 h

It will take 5 hours for the pump to fill the pool.

Answer:

Im pretty sure the answer is 5 hours

Step-by-step explanation:

The capacity of swimming pool is

v = 10 ⋅ 8 ⋅ 5 = 400 cubic feet

The pump fills 80 cubic feet in 1 hour

Therefore, the pump will fill

400 cubic feet in 5 hours.

At a farm, the ratio of cows to horses was 1:3. If there were 6 cows at the farm, how many horses were there?

Answers

Answer:

there was 18 horses

Step-by-step explanation:

uhh multiplication

Answer:

18 horses

Step-by-step explanation:

i dont have an explanation

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