what is the length of the diagonal of a non-regulation tennis court with length 20 feet and width 15 feet?

Answers

Answer 1
Answer:

Answer:

25 feet

Step-by-step explanation:

Basically that non-regulation tennis court is a rectangle. You want to know the length of the diagonal. If you draw it on paper, you'll see that this then become 2 triangles... of which you have 2 sides, and are seeking the hypotenuse.  So....

H² = A² + B²

H² = 20² + 15² = 400 + 225 = 625

H = 25 feet.

Answer 2
Answer:

Answer:

The diagonal of a non-regulation tennis court = 25 feet

Step-by-step explanation:

Pythagorean theorem

Hypotenuse² = Base² + Height²

The  tennis court  is like a rectangle.

We can consider the court as made of two right angled triangle

To find the length of diagonal of court

Here base = 15 feet and height = 20 feet

Diagonal or hypotenuse can be written as,

Diagonal ² = Base² + Height²

 = 15² + 20²

 = 225 + 400

 = 625

Diagonal = √625 = 25 feet

Therefore  the diagonal of a non-regulation tennis court = 25 feet


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Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3

Answers

f(X)=4x+12-5=4x+7
so
{f(x)-7}/4=x
now in inverse func. f(x0 is converted into x and x is converted into
f(x)^-1
so
f(x)^-1=[x-7]/4
now if x=3
f(3)^-1=[3-7]/4=-4/4=-1

f(x)=4(x+3)-5\n y=4(x+3)-5\n y=4x+12-5\n y=4x+7\n 4x=y-7\n x=(1)/(4)y-(7)/(4)\n f^(-1)(x)=(1)/(4)x-(7)/(4)\n f^(-1)(3)=(1)/(4)\cdot3-(7)/(4)\n f^(-1)(3)=(3)/(4)-(7)/(4)\n f^(-1)(3)=-(4)/(4)\n f^(-1)(3)=-1

Jack’s mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left.

Answers

Answer:

16 friends

Step-by-step explanation:

If the question you're asking is how many friends he gave chocolates to, the answer would be 16.

50 - 2 = 48  (You subtract 2 because it's the amount of chocolates he had left)

48 ÷ 3 = 16 (Now you divide 48 by the number of chocolates he was giving his

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Peyton has a goal to walk 10,000 steps each day. On Tuesday afternoon,Peyton walked 7,338 steps. She averages 2.5 feet per step

Answers

Please consider the complete question.

Peyton has a goal to walk 10,000 steps each day. On Tuesday afternoon, Peyton walked  7,338 steps. She averages 2.5 feet per step.

How many more feet does Peyton need to walk to reach her goal of 10,000 steps?

First of all we will find the steps Peyton needs to walk to reach her goal.

\text{Steps Peyton needs to walk}=10000-7338

\text{Steps Peyton needs to walk}=2662

Since Peyton averages 2.5 feet per step, so to find number of feet in 2662 steps, we will multiply 2662 by 2.5 as:

\text{Distance that Peyton needs to walk to reach her goal}=2662* 2.5\text{ ft}

\text{Distance that Peyton needs to walk to reach her goal}=6655\text{ ft}

Therefore, Peyton needs to walk 6655 feet to reach her goal.

Joe will go to the swimming pool on 20 different days this month. • a one-day pass to the pool is $2.25. • a monthly pass to the pool is $30.00. how much money will joe save by buying a monthly pass

Answers

Joe will save 20 dollars buying a monthly pass

Whats x squared minus 4x minus 45

Answers

X^2-4x-45. Factor it to find x. The product of 1 and -45 is -45. Use product sum method to get X^2-9x+5x-45. Now factor by grouping. x(x-9)+5(x-9). You then get (x+5)(x-9)=0 Now use zero product property x+5=0 and x-9=0 and you get x=-5 and x=9.
x^(2) -4x-45
=(x-9)(x+5)

you should get the same answer when you foil it using the FOIL method.
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Answers

Hello

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3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989...