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Hitman42 [59]
2 years ago
8

The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first ba

se throws the ball to a player at third base, what is the distance the player has to throw? 90 feet is first base 90 feet at third base
Mathematics
1 answer:
JulsSmile [24]2 years ago
6 0

Answer:

ta side from one base to next has  length of x. so we know each side has length x and  the shape they make is a square. This means we are only searching for the diagonal of a square. remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using  pythagoream theorem we can say

a^2 + b^2 = c^2 all side lengths are x so we can put x in for a and b  to get

x^2 + x^2 = c^2

2x^2 = c^2

c = x * squareroot(2)

so if the length between bases is 90 ft

c = 90 ft * squareroot(2)

c = 127.28 ft

Step-by-step explanation:

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Ali will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 70 and costs an additi
Aleksandr-060686 [28]

Answer: Ali would need to drive 350 miles for the two plans to cost the same.

Step-by-step explanation:

This question can be solved by creating two equations using the information supplied in the question and then solving these simultaneously.

Let the cost be C.

Let the number of miles be M.

Let the initial payment be i.

Let the rate per mile driven be R.

Plan 1:

C = i+R×M

C = 70+0.60M ... equation 1

Plan 2:

C = i+R×M

C = 0+0.80M

C = 0.80M ...equation 2

Substituting equation 2 into equation 1:

0.80M = 70+0.60M

0.80-0.60M = 70

0.20M = 70

M = 70/0.20

M = 350 miles

5 0
3 years ago
Given h(t) = -2(t+ 5)^2 +4, find h(-8).
bekas [8.4K]

Answer:

Substitute -8 as x into the equation.

h(-8)=-2(-8+5)^2+4

h(-8)=-2(-3)^2+4

h(-8)=-2(9)+4

h(-8)=-18+4

h(-8)=-14

:)

7 0
3 years ago
Ivan's gas tank is 1/5 full. After he buys 7 gallons of gas, it is 7/10 full. How many gallons can Ivan's tank hold?
blondinia [14]

Answer: 14 gallons of gas.

Step-by-step explanation: For the fractions, find a common denominator, which would be 10. To get 1/5 to have a denominator of 10, multiply each number by 2. You would get 2/10. 7 gallons fills his tank from 2/10 to 7/10. Subtract the two fractions.

7/10 - 2/10 = 5/10.

7 gallons filled his tank half way. We are trying to find the amount to fill his tank all the way. So multiply 7 by 2.

7 x 2 = 14

14 gallons of gas will fill his tank all the way.

I hope this helps!

6 0
3 years ago
An airplane on autopilot took 8 hours to travel 5,744 kilometers. What is the unit rate for kilometers per​ hour?
guajiro [1.7K]

Answer:718 kilometers per hour


Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
9 halves of a cupcake for my family plus extra for my 6 friends how many should I<br> buy.
krok68 [10]

Answer :- 7½ or 8 ( explained below)

Explanation:-

Given :-

  1. 9 halves for family
  2. 6 halves for friends

So in total :- 15 halves for both of them

It means :- 7½ cupcakes in total u required

if u can buy an half cupcake then u need to buy :- 7½

If u can't but an half cupcake then u need to buy :- 8

7 0
2 years ago
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