A slow pitch softball diamond is actually a square 61 ft on a side. How far is it from home to second base?

Answers

Answer 1

Answer:

This would be the same as an isosceles right triangle. It would be 61ft x (square root of 2) = ~86.3ft

This is rounded of course...

Answer 2

The distance from from home to second base is 86.26 ft.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, a slow pitch softball diamond is actually a square 61 ft on a side.

A slow-pitch softball diamond is actually a square shape.

The side length of the square is 61 ft

Here ABCD is square. The length of the side is AB=BC=CD=DA=60 feet.

Consider the distance between home base to second base is the hypotenuse if we draw a right triangle using the diagonal across the square and two sides of the square.

Let us assume the diagonal distance from home to second base BD=x.

Let us find the distance from home base to second base by using Pythagorean Theorem:

Now, x²=61²+61²

x²=3721+3721

x²=7442

x=√7442

x=86.26 ft

Therefore, the distance from from home to second base is 86.26 ft.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

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Related Questions

Can anyone help me ??

Answers

Answer:

16

Step-by-step explanation:

2 times 2 = 4 times 4= 16 times 1= 16

Answer:

16

Step-by-step explanation:

5 points
12. A man drove 350 miles in 4.5 hours. If the posted speed limit was 65
mph (miles per hour) the entire way, approximately how many miles per
hour over the speed limit was he going?*
O 1 mph
O 5 mph
O 13 mph
O 78 mph

Answers

Answer: 13

Step-by-step explanation:

A parent volunteer group is raising money by making custom hats to sell at

school activities. They plan to sell the hats for $12. Each hat costs $6 to

make. They spent $50 for advertising.

Use n to represent the number of hats they sell. Multiply this by the money

they make for each hat, then subtract the advertising cost.

Which expression represents the money that the group raises?

A. 12n - 6 - 50

O B. 50 - (12 – 6) n

O C. (12 - 6)n - 50

O D. 12 - 6n - 50

Answers

Answer:

B

Step-by-step explanation:

The answer is B because you minus 50 from 12 and 6.


Out of 65 players, 11 play basketball only, 11 play both basketball and cricket. The
players who play cricket is twice the number of players who play basketball. By using
diagram find the number of players who play cricket only and who don't play both the game​

Answers

Answer:

22

Step-by-step explanation:

you see that there are 11 basketball players. So that means you need to multiply 11 and 2 which equals 22.

Lita's softball team wone 8 games last month and 10 this month. What was the percent change in games the team won?

Answers

25 percent is the answer

helppppp me please .

Answers

Answer:

stuff

Step-by-step explanation:

180-72 = 108

a2 = 108º

a3 = 108

a4 = 72

a4+a6 = 180 so

a11+a13 + 180...

What is 12 equivalent tp

Answers

12 is equivalent to 24/2, 36/3, 144/12

qhat is 4c - 11 - 5c + 17 what are the coefficients ​

Answers

Answer:

4 and 5

Step-by-step explanation:

4 and 5 are the co efficients of c

Mr. Lyons is laying tile for the rectangular floor of a hotel lobby.
The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles.
Which explains whether or not he has enough tiles for the entire floor?

Answers

Answer:

yes

Step-by-step explanation:

you find the area by multiplying 38 X 112= 4,256

4,400 - 4,256= 144 left over

Last year, the cost of a family-sized dinner at a picnic was $8.50. This year, the cost is $11.56. What is the percent of increase of the price? ( I need a step-by-step explanation not just the answer) ill give brainliest

Answers

to find the percentage increase, take the price increase divided by the original price :
price increase = $11.56 - $8.50 = $3.06

percentage increase = $3.06/$11.56 x 100%
= 26.47% (or 26.5%)

hope the explanation was able to help!!

Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
6 sin2(x) = 3

Answers

Answer:

(15°, 165°)

Step-by-step explanation:

Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval  [0, 2π]

Given

6 sin2(x) = 3,

Divide both sides by 6

6 sin2(x)/6 = 3/6

sin2(x) = 1/2

2x = sin^-1(0.5)

2x = 30°

x = 30°/2

x = 15°

Since sin is positive in the second quadrant, x2 = 180-15

x = 165°

Hence the values within the interval are 15 and 165.

(15°, 165°)

Plz help it would mean a lot

Answers

Answer:

643663

Step-by-step explanation:

b = d

i will give brainly if you find x (no silly answers pls)

Answers

Answer:

Maybe 3 because 2*9=x+15

So 18=x+15

So x=3

Am not sure

Answer:

3 because 2*9=x+15

So 18=x+15

So x=3

Step-by-step explanation:

Hello please help I will give brainliest!

Answers

Answer:

letter C.

Step-by-step explanation:

because the answer is 65

solve this question 15+18/4​

Answers

Answer:

the answer is

Step-by-step explanation:

15+8/4=8

15+8=32

32÷4=8

Answer:

15+18/4=8.25

Step-by-step explanation:

if u divide 33 by 4

if greg works 20 hours how much will he make

Answers

Answer:

?

Step-by-step explanation:

You need to know how much how much he makes per hour.

Consider the equation 5x + 7 = 2x + 28. Your tasks to explain the steps you would take, in
order, to solve the equation for x. Imagine that you are writing this for someone who is learning
about this process for the first time. You would be as specific as possible and write in complete
sentences.

Answers

Answer:

x=7

Step-by-step explanation:

Step 1: Put the variables and constants on the same side and change their signs so it'll look like this 5x-2x = 28 - 7, you always move the smaller number to either the left or right depending on its position in the problem.

Step 2: solve each side normally like this, 3x = 21

Step 3: to get x by itself divide 3 on both sides and you should get x=7

Here's a run through of the steps

5x+7=2x+28

   -7       -7(subtract 7 from both sides

5x=2x+28-7

-2x   -2x(subtract 2x from both sides)

5x-2x=28-7

3x=21

3x/3 = 21/3 (divide 3 from both sides)

x=7

please answer the image below

Answers

Answer:

Rectangle = l * b = 14 *10

Semi Circle = ( pi * r^2 ) /2

here, diameter of circle is 10 so radius  = 5

so area of semicircle = ( pi * 5^2)/2 = 39.26991

so total area = 140 + 36.26991  = 176.26991 or 176.3

Step-by-step explanation:

Step-by-step explanation:

area of the shape = area of rectangle + area of semicircle

area of rectangle = l×b

10×14 =140

area of semicircle

r =d/2

r=10/2=5

[tex] \frac{\pi \times {r}^{2} }{2} [/tex]

[tex] (\frac{22}{7 } \times {5}^{2}) \div 2[/tex]

[tex]78.5 \div 2[/tex]

=32.29

total area = 140+32.29

170.29

170.3

(I'LL GIVE BRAINLIEST AND EXTRA POINTS FOR WHO EVER HELPS ME!! :) )


Solve five and six eighths plus four and four fifths.


A) nine and twenty two fortieths

B) nine and three twenty eighths

C) ten and twenty two fortieths

D) ten and eleven thirteenths


( Here is an image if needed):

Answers

Answer:

C

Step-by-step explanation

Answer:

C.)

Step-by-step explanation:

First, let's make it so that 6/8 and 4/5 have the same denominator.

Find the LCM: 40

8 ÷ 40 = 5

5 ÷ 40 = 8

Now that we have this info, let's convert the numerator to match the denominator.

4/5:

4 × 8 = 32

So... 4/5 = 32/40

6/8:

6 × 5 = 30

So... 6/8 = 30/40

Now let's add:

30/40 + 32/40

30 + 32 = 62

Therefore: 62/40

Now let's add those whole numbers: 5 + 4 = 9

Our answer: 9 62/40

Let's simplify: 10 22/40

Therefore, C is the correct answer.

(8p + 3w)2=
Cual es el resultado de Esta operacion

Answers

Answer:

18p + 6w

Step-by-step explanation:

I don't speak Spanish so here is some way I can explain it

No hablo español, así que aquí hay una forma de explicarlo.

using distribute property, get 2(8p) + 2(3w) = 18p + 6w

Answer:

[tex]16p + 6w[/tex]

STEP BY STEP

(8P+3W)2

=(8P+3W)(2)

=(8P)(2)+(3W)(2)

=16P+6W

this was very hard for me please help thanks.​

Answers

Step-by-step explanation:

m<5 = 60 (<5 & 60deg < are vertical)

m<6 = 120 (<s 5 and 6 are a linear pair)

m<9 = 120 (<s 6 and 9 are vertical)

m<4 = 80 (<s 4 and 80 deg < are vertical)

m<7 = 100 (<7 and 80 deg < are linear pair)

m<10 = 100 (<s 7 and 10 are vertical <s)

m<8 = 60 (<s 5 and 8 are corresp <s)

m<3 = 80 (80 deg <3 are corresp <s)

m<2 = 40 (80 + 60 + m<2 = 180)

m<1 = 60 (<s 1 & 5 are alt int <s)



1. Joanna is saving up for a new car. Her parents said that once she has $1000 saved up, they would help her

buy the car. Joanna has saved $300 in her bank account and $100 from her birthday money. She started

babysitting earning $10 per hour. How many hours of babysitting will she need to complete, so that her

parents will help buy her car.

Answers

9514 1404 393

Answer:

  60 hours

Step-by-step explanation:

We want Joanna's total savings to be ...

  bank account + gift + earnings = 1000

  300 +100 +10h = 1000

  10h = 600 . . . . subtract 400

  h = 60 . . . . . . . .divide by 10

Joanna needs to babysit for  60 hours to earn the money she needs.

304,056 trying to represent the value of this number using expanded notation we give the answer but is giving us an error so we want to find out our error

Answers

Answer:

(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)

Step-by-step explanation:

We want to represent the value of this number using expanded notation

Mathematically, that will be;

(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)

= 300,000 + 0 + 4000 + 0 + 50 + 6

= 304,057

A bicycle store costs $3600 per month to operate. The store pays an average of $80 per bike. The average selling price of each bicycle $120. How many bicycles must the store sell each month to break even?

The store must sell ____ bicycles each month to break even.
(Type a whole number)

Answers

Answer:

90 bikes.

Step-by-step explanation:

The bike store earns:

(120-80) = 40 dollars per bike sold.

Hence, to break even, the store must sell:

3600/40 = 90 bikes per month.

Hope this helped!

1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.

Answers

Answer:

3 and 12

Step-by-step explanation:

3*5=15 and 15-3=12. The product of 3 and 12 is 36.

The integers are 3 and 12.

What is Algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

let the one integer be x.

Another integer = 5x - 3

According to question,

x *(5x-3 ) =36

5x ² -3 x =36

5x² -3 x - 36 = 0

5x² -15 x +12 x - 36 =0

5x( x-3) + 12 ( x -3) =0

(5x +12)( x- 3)=0

x= -12/5 or 3

So, the integers are 3 and 12.

Learn more about this concept here:

https://brainly.com/question/17023448

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An investor invested a total of $2,100 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If the investor’s total profit was $83, how much was invested in each mutual fund?

The amount invested in the mutual fund that earned 5% was $___.

The amount invested in the mutual fund that earned 3% was $___.

Answers

Answer:

The amount invested in the mutual fund that earned 5% was $1000.

The amount invested in the mutual fund that earned 3% was $1100.

Step-by-step explanation:

Let the amount invested in the mutual fund that was earned 5% be x and the amount invested in the mutual fund that earned 3% be y.

Statement 1: [tex]\frac{5}{100}[/tex]X+[tex]\frac{3}{100}[/tex]y = 83

Statement 2: x+y = 2100

I'll use the elimination method:

Statement 1 × 20: x+[tex]\frac{60}{100}[/tex]y = 1660

Minus Statement 1 × 20 from Statement 2: x+y-x-[tex]\frac{60}{100}[/tex]y = 2100-1660

[tex]\frac{40}{100}[/tex]y = 440

y = [tex]\frac{100}{40}[/tex]×440

  = 1100

x = 2100-1100

  = 1000

What is the cube root of 512m^12n^15?
-16m^4n^5
-8m^5n^4
8m^4n^5
16m^5n^4

Answers

Answer: 8m ^ 4n ^ 5

Which is the best estimate for the amount of grass in the lawn?

Answers

Answer:

What the question? I'm confused.

Answer:

what?????

Step-by-step explanation:

2r + 1+(4R)+7 as an equivalent expression

Answers

Answer

6r+8

Step-by-step explanation:

  2r+1+r+r+r+r+7

= 6r+8

At a sale, dresses were sold for 36% of their original price. If the dresses originally cost $200 each, how much did a dress cost on sale?

Answers

Answer:

Each dress would cost 72

Step-by-step explanation:

36% of 200 is 72

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