In football, the path that a defender must run to tackle the ball carrier is called the path of pursuit. If the ball carrier runs 40 yards to the end zone and the path of pursuit is 45 yards, how far apart were the ball carrier and defender when they started? Answer with appropriate precision. (Hint: Use the Pythagorean Theorem.)

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The ball carrier and defender were 20.62 ft apart

Let the path the ball carrier runs = x and y = path of pursuit and L = distance between defender and ball carrier when they started.

x, L and y form a right angled triangle with y being the hypotenuse side of the triangle.

From Pythagoras' theorem,

x² + L² = y²

So, L² = y² - x²

L = √(y² - x²)

Since x = 40 yards and y = 45 yards,

#substituting the values of the variables into the equation, we have

L = √(y² - x²)

L = √(45² - 40²)

L = √(2025 - 1600)

L = √425

L = 20.62 ft

So, the ball carrier and defender were 20.62 ft apart

Learn more about Pythagoras' theorem here:

https://brainly.com/question/23713139


Related Questions

A video game store was getting rid of old games, selling them 5 for $102.05. If they sold 3 games, how much money would they have made?

First determine how much one game would be and then calculate how much they would make selling 3 games. You must answer BOTH.

one game costs $________

3 games would make them $_______

Answers

Answer:

20.41

Step-by-step explanation:

I got the answer by doing 102.05 divided by 5 the took that number and multiplied it by 3 to get the answer 61.23

The people on this app are mean for not answering

Answers

aggreed very mean.....

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How many solutions does this linear system have?

y = -6x+2

-12x - 2y = -4

one solution: (0,0)

O one solution: (1.4)

O no solution

O infinite number of solutions

Answers

Answer:

in finity

Step-by-step explanation:

Both provide ATP molecules, but only fermentation occurs when oxygen is present.

okokoo

The linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of linear equations are y = -6x+2 and -12x - 2y = -4

To solve this system, we can substitute the expression for y from the first equation into the second equation, as follows.

-12x - 2y = -4

substitute y = -6x + 2 from first equation

-12x - 2(-6x + 2) = -4

Distribute the negative sign

-12x + 12x - 4 = -4

0 = 0

The equation 0 = 0 is a true statement, which means that the system has infinitely many solutions.

Hence, the linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

What are two ways to write 2a-18 in words

Answers

Answer:

Step-by-step explanation:

2a-18

two a minus eighteen

two a takeaway eighteen

two a subtract eighteen

two a deduct eighteen

please help! i reward brainliest
plz no silly answers

Answers

Answer:

With 4 times the number of machines, it would take 8 hours

Step-by-step explanation:

8 hours, have a great day. brainliest?

5 hours 15 min + 3 hours 33 min


show the working as well

Answers

Answer:

8 hours 48 mins

Step-by-step explanation:

  h  m

  5:15

+3:33

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

  8:48

or

5 hours + 3 hours =8 hours,

15 mins + 33 mins = 48 mins

Therefore, it's 8 hours 48 mins.

Answer: 8 hours 48 min

Step-by-step explanation:

We calculate hours by hours and minutes by minutes :)

5 hours 15 min + 3 hours 33 min

⇒ 5 hours + 3 hours = 8 hours

⇒ 15 min + 33 min = 48 min

Zach is trying to decide which of three golf
courses is the best. He randomly surveyed
people at a sports store and recorded the
results in the table. Is the sample method
valid? If so, suppose Zach surveyed 150
more people. How many people would be
expected to vote for Rolling Meadows?

Justify your answer.






Answers

Answer:

No, the population of people is poorly represented with this low sample size. 150 would better represent the population as a whole. 42 people would want to play on Rolling Meadows. (according to the previous data)

Step-by-step explanation:

Most likely this small sample size is too small to gain sufficient data from the whole population. If he were to survey a larger sample of people, he would overall better represent the population as a whole. The percentage of people who would prefer Rolling Meadows in the first sample was 28% (7/25). So just multiply 150 times .28 and get 42. 42 people would want to play on Rolling Meadows.

Can someone answer my math?​

Answers

Answer:

wlang mag sasagot yn HAHAH dapat para sagotan ni lolo 50pts ilagay mo HAHA

352x 408 in standard algorithm

Answers

Answer:

Multiply 408 by 352.143616x

Step-by-step explanation:

Lmk if im wrong.

An item on sale costs 65% of the original price. The original price was $25.

Answers

Answer:

$16.25

65% = 0.65

0.65 x $25 = $16.25

Hope this helps! (And I think thats what the question was)

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
(Please show your work)

Answers

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (14,4)² - 9²

x² = 207,36 - 81

x² = 126,36

x = 11,2

Calculate the slope of the line shown on the graph using any two of the labeled points. Show your work on paper or in the box below.

Answers

Answer:

A Benjamin Franklin

B George Washington

C Abraham Lincoln

D John Adams

Based on What you learned about economics of organic produce, explain why buying organic food is so expensive

Answers

Answer:(:

Step-by-step explanation:

Organic food production is usually more labour and management intensive and happens on a smaller scale ie on smaller farms which lack the benefit of economy of scale.

Find each measure! Please please help me!!! 40 points!! No files!!!

Answers

Answer:

44º

44º

136º

22º

Step-by-step explanation:

If you want i can explain in the comments.

what is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14

Answers

Answer:

y = -1/2x - 4

Step-by-step explanation:

First we wanna convert x + 2y = 14 into a slope-intercept equation.

x + 2y = 14

2y = 14 - x

y = 7 - x/2 or y = -1/2x + 7

Now that we have the line in slope-intercept form, we can solve for a line that is parallel to.

But first, what do parallel lines have in common? Parallel lines never intersect first of all and second they have the same slope so meaning we’re going to use -1/2 in order to find the equation of a parallel line so…

y = -1/2x + b

use the given point in the question

0 = -1/2(-8) + b

0 = 4 + b

b = 0 - 4

b = -4

The y-intercept of the line is -4

The equation of the line that passes through the point (-8, 0) and is parallel to the line x + 2y = 14 is y = -1/2x - 4

help need explantion and answersi give you 100​

Answers

Rules:
2: the number has to be even, ex: 46 & 82
3: add each digit, if it is divisible by 3, ex: 39, 3 + 9 = 12, which is divisible by 3, so 39 is divisible by three
4: if the number can be divided by 2 two times, 48 divided by 2 = 24 divided by 2 is 12. So 48 is divisible by 4
5: the last digit must be 0 or 5, ex: 45 and 120
6: the number should be even and divisible by 3, ex: 66, 66 is even and 6 + 6 can be divided by 3. so 66 is divisible by 6
9: add each digit, if it is divisible by 9. 189 = 1 + 8 + 9 = 18 can be divided by 9 so 189 is divisible by 9
10: the last digit must be 0, ex: 40 and 5600

Answers:
120- 2, 3, 5, 6, 10
125- 5
180- 2, 3, 5, 6, 9, 10
324- 2, 3, 6, 9
660- 2, 3, 5, 6, 10

 In the equality -x>5 what must you do to solve the problem

Answers

Answer:

x < -5 (~Divide -1 to both sides)

Step-by-step explanation:

-x > 5

~Divide -1 to both sides

x < -5

Find (f +g)(x) where f(x) = x+ 3 and g(x) = x + 4.

Answers

Answer:

Correct answer is A

Step-by-step explanation:

In pic

Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

0.048百万 + 16 x 72 000 =?​

Answers

Answer:

1152000.048

Step-by-step explanation:

what is an equivalent ratio to 5/2

Answers

Answer:

The simplest form of ratio 6:15=2×3:5×3=2:5

So, 2:5 is equivalent to 6:15

Step-by-step explanation:

Hope this helps :)

Answer:

10/4

Step-by-step explanation:

P(A) is the power set of A. Show that-
(i) P(AUB) = P(A) ∩ P(B) is always true, but
(ii) P(AUB) = P(A) U P(B) may not be always true.​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Let assume that,

[tex]\rm \longmapsto\:A \: = \:\{x\} \: [/tex]

and

[tex]\rm \longmapsto\:B \: = \:\{y\} \: [/tex]

[tex]\rm\implies \:A \: \cap \: B = \phi [/tex]

and

[tex]\rm \longmapsto\:A\cup B = \{x, \: y\}[/tex]

We know,

Power set of a set A is defined as set of subsets of A.

So,

[tex]\rm \longmapsto\:P(A) = \{ \phi ,\: x\}[/tex]

and

[tex]\rm \longmapsto\:P(B) = \{ \phi ,\: y\}[/tex]

and

[tex]\rm\implies \:P(A \: \cap \: B) =\{ \phi \}[/tex]

and

[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]

Now, Consider

[tex]\rm \longmapsto\:P(A)\cup P(B) = \{\phi ,x,y\}[/tex]

and

[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]

[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cup P(B) \: \ne \: P(A\cup B) \: }} \\ [/tex]

Now, Consider

[tex]\rm \longmapsto\:P(A\cap B) = \{\phi \}[/tex]

and

[tex]\rm \longmapsto\:P(A) \: \cap \: P( B) = \{\phi \}[/tex]

[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cap P(B) \: = \: P(A\cap B) \: }} \\ [/tex]

help me plz.........................................

Answers

Answer: y=10

Step-by-step explanation:

5y-8=42

5y= 50

y= 50/5

y= 10

The p/q form of 0.4277777....... ,9 # 0 is 77/180 ( ) 180 43 90 37 90​

Answers

Answer:

77/180

Step-by-step explanation:

x = 0.42777....

Multiply by 1000   (the number of digits in decimal)

1000x = 427.7777......

  100x =  42.7777......    {Now subtract}

900x =  385

      x = 385/900

x = 77/180

The quantities x and y are proportional. Find the constant of proportionality (r) in the equation y=rx

Answers

Answer:

y=rx 1/4/5/5/5

Step-by-step explanation:

Answer:

r = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The proportional equation is

y = rx ( divide both sides by x )

[tex]\frac{y}{x}[/tex] = r

Substitute any ordered pair from the table

Using (14, 7 ) , then

r = [tex]\frac{7}{14}[/tex] = [tex]\frac{1}{2}[/tex]

Find the missing number using the distributive property. 10 + 20 = 2(5 + __)
Is it:
A) 10
B) 4
C) 5
D) 2

Answers

Answer:

it's A 10

Step-by-step explanation:

10+20= 30

so 15×2=30

5+10=15

2( = ×2

10 is the answer have a great day. brainliest?

Bridgette measured an Italian restaurant and made a scale drawing. The scale of the drawing was 8 millimeters: 5 meters. The restaurant's kitchen is 30 meters long in real life. How long is the kitchen in the drawing?

Answers

Answer:

The kitchen drawing is 48 millimeters long.

There is 1 inch of water in a pool. The water level is increasing at 0.75 inches/minute. Which linear equation represents the total depth of the water, in inches, after x minutes?

Question 3 options:

y=0.75x+1

1+y=0.75x

x=0.75y

y=0.75x

Answers

the answer is y = 0.75x + 1

1) a supermarket sells articles during the festival seasons with a 10% discount. find the new price of the following articles.

i) A CFL bulb if the marked price is Rs. 280

ii) A bunion if the marked price is Rs. 650.

iii) A gas cooker if the marked price is Rs. 7500

Answers

Answer:

252, 585, 6750

Step-by-step explanation:

We have to think that the regular price represents 100% and we need 10 of 10% to make an 100%. So if we divide the regular price by 10 will get our 10%.

i) A CFL bulb if the marked price is Rs. 280

10 % of 280 is 280/10 = 28

discounted price is 280 -28 = 252

ii) A bunion if the marked price is Rs. 650.

10 % of 650 is 650/10 = 65

discounted price is 650 -65 = 585

iii) A gas cooker if the marked price is Rs. 7500

10 % of 7500 is 7500/10 = 750

discounted price is 7500 -750 = 6750

NO FAKE ANSWERS PLS !!
If m*n means m+7n, determine the value of 5*(1*3).

Answers

Answer:

159

Step-by-step explanation:

5*(1+7×3)=5*(22)

5*(22)=5+7×22=159

which ratios are equivalent to 7: 15.

Answers

There are multiple… like 14:30 and another would be 35:75

Just multiply each side by the same amount like with 14:30 I multiples 7 by 2 so I multiples 15 by 2 also and for 35:75 I multiplied 7 by 5 and 15 by 5 if that helped at all :)
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