A baseball diamond is a square with 90 foot sides. If the catcher is standing on home plate, what is the approximate distance to throw out a player headed to second base?


help!!

Answers

Answer 1
Answer:  approximately 127.3 feet

============================================================

Explanation:

Draw a straight line from home plate to second base. Two right triangles form. Each triangle has both legs equal to 90 ft. The hypotenuse is what we're after. We'll use the pythagorean theorem to find it.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{90^2 + 90^2}\\\\c = \sqrt{16200}\\\\c \approx 127.27922\\\\c \approx \boldsymbol{127.3}\\\\[/tex]

It's approximately 127.3 feet from home plate to second base. This is a straight line distance. Any curved path the ball takes will travel a slightly longer distance; however, we only consider the straight line distance for the sake of simplicity.


Related Questions

i need a lot of help and please help i need it

Answers

Answer- Give me the question and Ill help :)

What is an equation of the following line?

Answers

Answer:

y = 5

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through all points with a y- coordinate of 5 , then

y = 5 ← equation of line

5 16/17 as an improper fraction

Answers

Answer:

5 16/ 17

17 x 5 + 16

85+16

101/17

Step-by-step explanation:

goodluck

Answer:

answer is 101/17

Suppose you have a coin collection of dimes and quarters containing 46 coins. If you have $6.70, how many of each type of coin do you have?

Answers

answer:

32 dimes and 14 quarters

step by step:

32 x 10 = 320

14 x 25 = 350

320 + 350 = 670

670¢ =  6.70$

The nth term of a sequence is n^2 + 5.

Find the first three terms and show that 261 is a term in this sequence.

Answers

Answer:

first 3 terms: 6, 9, 14

16^2+5=261

Step-by-step explanation:

1^2+5= 6

2^2+5= 9

3^2+5= 14

will give brainliest no files will report.

Answers

I believe the correct answer would be C!


What is the solution (pls help ASAP )

Answers

Answer:

c  the factor of the inequality is correct - took this test already

Step-by-step explanation:

Dan earns £300 over the course of a five-day week. How much is that per day?

Answers

Answer:

£60 per day

Step-by-step explanation:

1 week = 5 days

Dan earned = £300

therefore 1 day = 300 ÷ 5 = £60 per day

300/5days
So 60 a day

what do you call two guys that like math B)

Answers

Answer:

Step-by-step explanation:

Math nerds, algebros?

help me with this math work please

Answers

1) +200
2) +5
3) -3 degrees C
4) 21 degrees C
5) +150
6) -3 degrees C
7) 25
8) +6
(positive signs are not required)


BRAINLIEST PLEASE

Calculate the height of a tree whose shadow is 20m shorter when the angle of elevation of the sun is 60° than when it's 30°.​

Answers

Answer:

  17.3 m

Step-by-step explanation:

If t is the height of the tree, then the length of the shadow is ...

  shadow length = t/tan(α)

where α is the angle of elevation. The difference in shadow lengths is ...

  20 m = t/tan(30°) -t/tan(60°) = t(√3 -1/√3)

  t = (20 m)/(2/√3) = 10√3 m ≈ 17.3 m

The tree is about 17.3 meters high.

Select all of the given points in the coordinate plane that lie on the graph of the linear equation $$.

Answers

70.00 is the correct answer

Help pleasee giving brainliest!!

Answers

Answer:

x=21

<1=120

Step-by-step explanation:

So to find x set up an equation like this:

(5x+15)+(3x-3)=180

since the bottom and top lines are congruent they are 'interior angles on the same side of a transversal' which are always supplementary, so that's where 180 comes from.

calculate the equation and you'll get x=21 :D

next to find 1 just put 21 in place of x: 3(21)-3=60

since it's supplementary to angle 1 you take 180-60=120

angle <1=120!

82837848+8383830.84-73327.00.73 =?

Answers

Answer:

91148351.8327

Step-by-step explanation:

Calculator

Mark was thinking of a number. Mark adds 1.7 to the number, then doubles the result to get an
answer of 42.7. Form an equation with x

Answers

Answer:

2(x + 1.7) = 42.7

Step-by-step explanation:

"adds 1.7 to the number" represents x + 1.7"then double the result" combined with "adds 1.7 to the number" represents 2(x + 1.7) "answer of 42.7" combine with all of the above makes 2(x + 1.7) = 42.7

please help me i need this quick

Answers

So to do that problem, the variable h is the feet. So you plug 15 into variable h. When you do that you get:

15 = 2+ 32t -16(t^2)

16(t^2) - 32t = -13

h = 2 + 32t - 16t^2 is the function given to model the balls flight and we want to know what time the ball is at 15 feet in the air, which is at 2 points in time since the ball takes a parabolic trajectory.

15 = 2 + 32t - 16t^2

0 = -16t^2 + 32t -13

since the equation isn't factorable we will use the quadratic formula.

(-b +- sqrt(b^2 - 4ac))/2a

=

we end up with t = (4+-sqrt(3))/4 which is t = 1.43 seconds and t = 0.57 seconds when approximated.

i need help: solve (4x^(6))^((3)/(2))

Answers

Answer:

(4x^{(6)})^{(\frac{(3)}{(2)})}

(4x(6))((2)(3))

Step-by-step explanation:

I think that's the answer

sandra babysat for the millers for 4.5 hours. the millers gave her 40$. write and solve an equation to calculate how much sandra earned per hour. round to the nearest hundrefth.

Answers

40%4.5=x
X=8.8
Or if ur aloud to round 9$ an hour

For the problem 12(-3)(-2), will the answer be positive or negative?

Answers

72 multiplying an even number of negative terms makes the number positive

Answer:

the answer is positive.

Step-by-step explanation:

12(-3)(-2)

the 2 negatives cancel out, so you get a positive 6

12(6)

72

positive 72

hope this helped!

mark me brainliest :D

9x^2-(3x+1)(4x-5)+1+6x=0

Answers

Answer:

x = -1/3 or x = 6

Step-by-step explanation:

For this equation, you should use the FOIL method or the BOX method. Break it apart to solve it easier. Sites like mathpapa or symbolab can help break these down for you.

What is the value of ? show your work help please.​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{25}{20}=\frac{30}{4x-4}\\\frac{30}{1.25}=4x-4\\x=7[/tex]

Answer:

x = 7

Step-by-step explanation:

I'm assuming ΔJKL and ΔMNP are similar as you wouldn't be able to solve it otherwise. ∠J≅∠M and ∠K≅∠N, so I assume its just a poorly formed question.

With that assumption made, if 2 triangles are similar, the scale factor on all sides are equal. That means this:

[tex]\frac{JK}{MN} =\frac{JL}{MP}[/tex]

The scale factor is just the new length divided by the old length, and that equation shows the scale factor on both of those side lengths are the same. With 3 of the 4 side lengths, you can plug those values in and solve for the last unknown.

[tex]\frac{25}{30} =\frac{20}{4x-4}[/tex]

I use cross multiplication here:

[tex]25(4x-4)=20(30)\\100x-100=600\\100x=700\\x=7[/tex]

In one day you earn $75
for 8 hours of work. If
you work 37.5 hours for
the week, what will your
weekly pay be?

Answers

Answer:

2812.5

Step-by-step explanation:

6(4x-3)-9x distributive property

Answers

Answer:

15x-18

Step-by-step explanation:

use pemdas

do parenthesis first

6(4x-3)-9x

24x -18 -9x

15x-18

The simplified expression after applying the distributive rule for the expression 6(4x - 3) - 9x becomes 15x - 18

The given expression is:

6(4x-3)-9x

Expanding the expression using the distributive rule

24x - 18 - 9x

Collect like terms

24x - 9x - 18 (since 24x and 9x are similar)

The resulting expression becomes:

15x - 18

The simplified expression after applying the distributive rule for the expression 6(4x - 3) - 9x becomes 15x - 18

Learn more on distributive property here:

https://brainly.com/question/4077386

find the measure indicated angle that makes lines u and v parallel

Answers

Answer:

91°

Step-by-step explanation:

The answer is 91°. What you do is you name the angle next to 89° with x, and you know that an angle whose arms are horizontal makes 180°. So, you go:

180°=x+89°

x=180°-89°

x=91°.

Now, there is this rule that says that when two angles are on sides like x and ? are, then they are equal. Therefore, the angle marked with ? is 91°.

What is the are of a circle if pi is 22/7

Answers

Answer:

In-sufficient data

Step-by-step explanation:

The formula for area is pi*radius*radius

E = (-52) + 13 + 49 + (-15) + (-36) + 82

Answers

Answer:

E = 41

Step-by-step explanation:

E = (-52) + 13 + 49 + (-15) + (-36) + 82

Take the -ve terms to one side and +ve terms to the other.

E = (13 + 49 + 82) - 15 - 36 - 52

E = 144 - 103

E = 41

1
−5

can be simplified to what value?

Answers

Answer:

1/5 is already in it's simplest form, but you can also write it was 0.2

90/9 as a whole number

Answers

Answer:

10

Step-by-step explanation:

find the value of x.

Answers

Answer:

x = 11

Step-by-step explanation:

Chords equidistant from the centre , which is the case here are congruent, so

x = 11

Work out the mean of √50, √18 and √8.

Give your answer in the form of a√2.

Show full working out.

Thank you!! <3

Answers

[tex]\frac{\sqrt{50}+\sqrt{18}+\sqrt{8}}{3} = \frac{10}{3} . \sqrt{2}[/tex]

ok done. Thank to me :>

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