The bases in a softball diamond are located at the corners of a 3600 ft^2 square. How far is a throw from second base to home plate

Answers

Answer 1

Answer:

84.85 ft

Step-by-step explanation:

Given that the sides are 3600 feets

Hence, side 1 = 3600 ; side = 3600 (since it is a square)

The distance, d from second base to Home plate is the length of the diagonal, which can be obtained using Pythagoras :

d² = s1² + s2²

s1², s2² = 3600

Hence,

d = sqrt(3600 +. 3600)

d = sqrt(7200)

d = 84.85 ft


Related Questions

Plsss i need help!! I’LL MARK BRAINLIEST!!! Ms. Jamieson compared the math test scores of her streak her morning and afternoon classes. Which statement is true?

Answers

Answer:

A i did this one already

Step-by-step explanation:

What is the area of the trapezoid ?

Answers

(A+b)/2 * H = (3.2+7.5)/2 * 4.6 = 24.61
Answer = 24.61

Select the correct answer.
Brandon is analyzing the profits from two of his restaurant locations. The first location showed a profit of $3,000 in the first week of the year but
has a showed a steady decrease in profits of 1.5% each week since then.
His second location showed a profit of $1,500 in the first week of the year and has showed a steady increase in profits of 1.2% each week since
then.
Which system of equations can Brandon use to determine the number of weeks, x, until the profits, y, from the two locations are the same?
ОВ.
OA y = -3,000(0.985)
y = 1,500(1.012)
y = 3,000(1.015)"
y = 1,500(1.012)"
OC.
y = -3,000(1.015)"
y = 1,500(1.012)
y = 3,000(0.985)
y = 1,500(1.012)"
OD.

Answers

Answer:

y=3,000(0.985)^x

y=1,500(1.012)^x

Step-by-step explanation:

System of equations  Brandon can use for  two location are y= 3000[tex](0.985)^{x}[/tex] and y =[tex]1500(1.012)^{x}[/tex]

What is profit and loss percentage?

Profit and loss percentage are used to refer to the amount of profit or loss that has been incurred in terms of percentage.

According to question

Brandon is analyzing the profits from two of his restaurant locations.

where

x = number of week

y = the profit

1st restaurant : showed a profit of $3,000 in the first week of the year but

has a showed a steady decrease in profits of 1.5% each week since then

So in equation we can write it as

y= [tex]3000(1 - 0.015)^{x\\}[/tex]

y= 3000[tex](0.985)^{x}[/tex]

2nd restaurant : showed a profit of $1,500 in the first week of the year and has showed a steady increase in profits of 1.2% each week since then.

So in equation we can write it as

y = [tex]1500(1+0.012)^{x}[/tex]

y =[tex]1500(1.012)^{x}[/tex]

Hence, system of equations can Brandon use to determine the x and y form the two location are y= 3000[tex](0.985)^{x}[/tex] and y =[tex]1500(1.012)^{x}[/tex]

To know more about profits and loss percentage  here :

https://brainly.com/question/17894849

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3. What is the volume of the triangular prism in the diagram below.
Answer in cubic feet *

Answers

562 cubic feet I think

Which statement is true???

Answers

9514 1404 393

Answer:

  B, C, E

Step-by-step explanation:

When the central angles are congruent, the corresponding triangles are congruent:

  ΔJHK ≅ ΔLHM . . . . selection E

and the base chords are congruent:

  ML ≅ JK . . . . selection B

The subtended arcs are also congruent, so adding arc LK to each will result in congruent arc measures:

  arc MLK ≅ arc LKJ . . . . selection C

Write the equation for each line in slope-intercept form. Then identify the slope and the y-intercept.
Please help if you can and please don't put any links as an "answer", it's already happened to me 3 times already.

Answers

1)
y=-4x+7
-4
7

2)
y=2/3x-3
2/3
-3

3)
y=5x-3/2
5
-3/2

4)
y=-1/2x+4
-1/2
4

I hope this helps :)
Lmk if you need any explanations

Answer:

1.

Equation: y = -4x + 7

Slope: -4

y-intercept = 7

2.

Equation: y = 2/3x - 3

Slope: 2/3

y - intercept: -3

3.

Equation: y = 5/4x - 3/2

Slope: 5/4

y - intercept: -3/2

4.

Equation: y = -1/2x + 4

Slope: -1/2x

y - intercept: 4

Simplify the ratio 300m:2km

Answers

Answer:

3m:20m

Step-by-step explanation:

2km to m = 2000

300:2000

(divide both sides by 100)

300/100=3

2000/100=20

3:20

Answer:

3 : 20

Step-by-step explanation:

2km = 2000

Ratio:

300 : 2000 =

150 : 1000 =

75 : 500 =

15 : 100 =

3 : 20

PLEASE HELP ME due at 6

Answers

Answer:

A:8

B:13.33

Step-by-step explanation:

9 foot = 274.32cm

274.32 / 6 = 45.72

Therefore...

A:

12 foot = 365.76

365.76 / 45.72 = 8

B:

20 foot = 609.6

609.6/45.72 = 13.33...

The population P, of Caribou in the Yukon is modeled by P=6x^2-120x+1250 where X is the number of years from today. After how many years with the Caribou population route 21,000 round to one decimal place

Answers

Answer:

It will take approximately 68.2 years for the Caribou population to reach 21,000.

Step-by-step explanation:

The population P of Caribou in the Yukon is modeled by P=6x²-120x+1250 where x is the number of years from today.

If the population P of Caribou in the Yukon is 21000, then, replacing you get:

21000= 6x²-120x+1250

So:

0= 6x²-120x+1250 -21000

0= 6x²-120x - 19750

This is a quadratic function of the form: 0= ax²+ bx +c, where: a=6, b= -120 and c=-19750

To solve a quadratic function and determine the value of x you can use the expression:

[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

Replacing the values ​​of a, b and c and solving you get:

[tex]x1,x2=\frac{-(-120)+-\sqrt{(-120)^{2}-4*6*(-19750) } }{2*6}[/tex]

[tex]x1,x2=\frac{120+-\sqrt{14400+474000 } }{12}[/tex]

[tex]x1,x2=\frac{120+-\sqrt{488400 } }{12}[/tex]

[tex]x1,x2=\frac{120+-698.86 }{12}[/tex]

So:

[tex]x1=\frac{120+698.86 }{12}[/tex]

x1= 68.24 ≅ 68.2

and

[tex]x2=\frac{120-698.86 }{12}[/tex]

x2= -48. 24 ≅ -48.2

As time cannot be negative, it will take approximately 68.2 years for the Caribou population to reach 21,000.

how to understand algebra?​

Answers

Answer:

it's so hard ain't it

Step-by-step explanation:

PLS HELP MEE ASAP 1 MIN LEFT HELPP!!!!!!!!!
Find the distance between points B and C on the graph.

Answers

Answer: BC = 5.83

Step-by-step explanation:

Luckily, the triangle is placed on the graph nicely so we can count the legs of the triangle:

AB = 5

AC = 3

BC = ?

To find BC, we can simply use the Pythagorean Theorem:

[tex]a^{2}+b^{2}=c^{2}[/tex]

5^2 + 3^2 = c^2

25 + 9 = c^2

34 = c^2

Now square root to find c, or BC.

[tex]\sqrt{34}=\sqrt{c^{2} }[/tex]

c = 5.83 (rounded by nearest hundredth)

Can someone please help me on this problem.

Answers

Answer:

Step-by-step explanation:

Perform the operation (5x^2 – 9) + (-10x + 7)

Answers

Answer:

5x^2−10x−2

Step-by-step explanation:

I hope this is what you are looking for I just added (5x^2 – 9) + (-10x + 7)

I got 5x^2-10x-2. I hope it’s correct!

In the diagram, m ABC = 90° and the ratio x: y = 2 : 3 . Find the value of the larger angle.

Answers

Answer: 54

Total = 90

x : y = 2: 3

5p = 90

1p= 90/5= 18

Larger Angle= =18*3= 54

if you answer this question i will give brainliest

Answers

Answer:

the line plot in the bottom right corner

Step-by-step explanation:

Answer:

D is the correct graph.

Step-by-step explanation:

First you put the entries in ascending order, because that's how the line plot needs to be ordered.

1/4, 3/8, 1/2, 3/4, 7/8, 1, 1 1/4

So right there, you can rule out A.

You can rule out C because 1/4 does not occur 5 times in the data set.

B is incorrect because 3/8 isn't on the line plot at all.

Please let me know if you have questions.

Zye takes out a loan for $6,000 to but a sno conne cart. The bank charges him 8% on the loan. After 5 years, how much interest will be add to the loan?​

Answers

Answer:

3, 750

Step-by-step explanation:

The interest added to the loan would be $3, 750

50 points i neeeeeed help
In a sequence of numbers, a4=6, a5=10, a6=14, a7=18, and a8=22. Which recursive rule can be used to find the nth term of the sequence, an? a1=6; an=4an−1 a1=−6; an=an−1+4 a1=6; an=an−1+4 a1=−6; an=4an−1

Answers

Answer:

B. a₁ = -6, aₙ = aₙ₋₁ + 4

Step-by-step explanation:

From the given sequence we see that:

Common difference is 4

Find the first term:

a₁ + 3*4 = a₄a₁ + 12 = 6a₁ = -6

The recursive formula for this sequence is:

a₁ = -6, aₙ = aₙ₋₁ + 4

Correct choice is B

Answer:

a1=-6; an=an−1+4

Step-by-step explanation:

Because the starter number is 6 and you go up by 4.

Enter the height of the cylinder to the nearest hundredth.
diameter: 2.2 m
volume:
2.8 m3
The height of the cylinder is
m.

Answers

.74 m

Step-by-step explanation:

2.8=3.14×1.1^2×h do divide 2.8 by 3.14 then by 1.21 and you are left with the height.

PLEASE HELPPPP
Find the area of the shaded region of the square, with side length 2x - 3, if each of
the ovals has an area of x – 5 square inches.

Answers

Answer:

4x^2 - 14x + 19

Step-by-step explanation:  

A = LW

A = (2x-3) (2x-3)

4x^2 - 6x - 6x + 9

Combine like terms:

4x^2 - 12x + 9

-2(x - 5) (for both ovals)

(4x^2 - 12x + 9) -2(x - 5)

4x^2 - 12x + 9 - 2x + 10

Group then combine like terms:

4x^2 - 12x - 2x + 10 + 9

4x^2 - 14x + 19

Sorry for being 10 days late but here is the answer for anybody that needs this! :D

what is this answer???

Answers

Answer:

<AEB = 51.2

Step-by-step explanation:

Remark

A straight line has a degree value of 180. There are 3 angles. One of them is 90. The other two must add to 90

Equation

2.7x + 8 + 3.8x - 22 = 90      combine like terms on the left.

6.5x - 14 = 90                        add 14 to both sides

6.5x = 90 + 14

6.5x = 104                              Divide by 6.5

x = 104/6.5

x = 16

<AEB = 2.7*16 + 8

<AEB = 51.2

Ali and Omar cycle around a cycle track.
Ali cycles each lap in 50 seconds.
Omar cycles each lap in 80 seconds.
Ali and Omar start cycling at the same time at the start line.
Work out how many laps they will each have cycled when they are next at the start line together

Answers

Answer and step-by-step explanation:

First, we will have to know at what time they will cross the line at the same time. So we can do the equation:

50 * 80 = 400

That means in 400 seconds they will be level again. Now, let's find Ali's amount of laps for 400 seconds, if it takes Ali 50 seconds for one lap. We can do:

400/50 = 8

This means it will take Ali 8 seconds to be leveled with Omar. Now Omar has the equation:

400/80 = 5

Because it takes him 80 seconds to take one lap. Therefore, it will take Ali 8 laps, and Omar 5 laps to be at the same starting line. Hope this helps!

5(2 + 3) = ? for easy points

Answers

Answer:25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

because you have to multiply to get the parentheses off.

write a similarity statement for the following pairs of triangle. Please answer sensibly​

Answers

Answer:

this is your answer of your question.

Similarity statement for the pairs of triangles are

Triangle CJA ~ triangle EBA

Triangle RYT ~ triangle RME

Triangle TOL ~ triangle DAL

Triangle OEW ~ triangle OET ~ triangle TOW

What is similarity statement?

A similarity statement is a statement that indicates that two or more geometric figures are similar to each other. It expresses the relationship between corresponding angles and corresponding sides of the figures.

The corresponding sides are

Triangle CJA ~ triangle EBA: AJ / AR  = AC/AE

Triangle OEW ~ triangle OET ~ triangle TOW: OE/EW = ET/OE = OT / OW

Learn more about similarity statement at

https://brainly.com/question/12574220

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What is the sum of the measures of interior the angles of a 25-gon

Answers

Answer:

4,140 degrees

Step-by-step explanation:

Mathematically, the sum of interior angles of a polygon is;

(n-2)180

where n is the number of sides the polygon has

Mathematically;

we will be replacing n by 25 here

So, we have;

(25-2)180

= 23 * 180 = 4,140 degrees

Barry the Beaver gnaws his way through a circular section of wood. The sector has a radius of 5.90 m and central angle 85.3°. What is the area of this section of wood?

Answers

Answer:

25.899sq.metres

Step-by-step explanation:

Area of this section of wood = Area of the sector

Area of the sector = theta/360 * πr²

r is the radius

theta is the central angle

Substitute

Area of the sector = 85.3/360 * πr²

Area of the sector = 85.3/360 * 3.14(5.90)²

Area of the sector = 85.3/360 * 109.3034

Area of the sector = 9,323.58002/360

Area of the sector = 25.899

Hence the area of the section of wood  is 25.899sq.metres

HELP HELP HELP PLZZZZZZZ

Answers

Answer:

76%

Step-by-step explanation:

19/25 = Score

her percent = 19 divided by 25 = 0.76

0.76*100 = 76%

hope this helps!

What is the factored form of 10x²+31x-14?

Answers

Answer:

(5x-2)(2x+7)

Step-by-step explanation:

10x²+31x-14

10x²+35x-4x-14

(10x²+35x)-(4x+14)

5x(2x+7)-2(2x+7)

(5x-2)(2x-7)

PLS ANSWER!!! I REALLY NEED AN ANSWER TO THIS ASAP!!!

Examine the two-step equation.


− 7/4 + x/4 = 2


Which property of operations allows you to add the same constant term to both sides?


-multiplication property of equality


-division property of equality


-addition property of equality


-subtraction property of equality

Answers

Answer:

addition property of equality

Step-by-step explanation:

7) The base of a prism is a right triangle with legs measuring 16 feet and 4 feet. If the height of the prism is
14 feet, find its volume.
mine the volume if its length is 18 inches

Answers

Given:

The base of a prism is a right triangle with legs measuring 16 feet and 4 feet.

Height of the prism is 14 feet.

To find:

The volume of the triangular prism.

Solution:

The area of a triangle is:

[tex]Area=\dfrac{1}{2}\times b\times h[/tex]

Where, b is base and h is height of the triangle.

The base of a prism is a right triangle with legs measuring 16 feet and 4 feet. It means the base of the triangle is 16 feet and height is 4 feet. So, the area of the base of the prism is:

[tex]B=\dfrac{1}{2}\times 16\times 4[/tex]

[tex]B=32[/tex]

Now, the volume of a triangular prism is:

[tex]V=Bh[/tex]

Where, B is base area and h is the height.

Putting [tex]B=32,h=14[/tex] in the above formula, we get

[tex]V=32\times 14[/tex]

[tex]V=448[/tex]

Therefore, the volume of the triangular prism is 448 cubic feet.

The measure of an arc intercepted by an inscribed angle is 130 degree. What is the measure of the inscribed angle?

Answers

Answer:

Step-by-step explanation:

Inscribed angle = 130°/2 = 65°

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