Answer:
84.85 feet or 60
feet.
Step-by-step explanation:
Given that:
Distance of paths between each pair of consecutive bases is 60 ft.
To find:
Distance that the ball needs to travel if it is thrown directly from home plate to second base?
Solution:
Actually the given problem can be mapped to a right angled triangle in which base and height are given to be equal to 60 ft (because each pair of consecutive bases are 60 ft apart), Plus, they are at right angles to each other.
So, kindly refer to the image attached.
AB and BC are the distance of paths between consecutive bases.
And we have to find AC.
We can use Pythagorean theorem to find out the Hypotenuse of the triangle.
According to Pythagorean theorem:

20 < 12 ⋅ <em>x</em> = 64
This is somewhat of a false equation though, due to the left side "20" is not less than the right side "12
", which means that the given statement is false.
So I switched it up and made the variable "12"
<u>12 < 20 ⋅ </u><u><em>x</em></u><u> = 64
</u>
12x - 20 = 64
12x = 64 + 20
12x = 84
12x⁄12 = 84⁄12
x = 7
____
I hope this helps, as always. I wish you the best of luck and have a nice day, friend..
156 more miles.
My Work:
The Sister drove 5/4 of 156 miles. <u />The <u />"of" stands for multiplication. 5/4 * 156/1
<u />After we solve the equation, we learn that the Sister drove 195 miles, which would mean that the sister probably drove too far, leaving Nicole to drive back for them.
Because Nicole is driving the rest of the 195-156 miles, if we use the triangle sum method from elementary school, we can flip the answer to 195-156 with 156 and know that the Sister drove 156 more miles than Nicole without having to know how far Nicole drove.
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Answer: 6 teams
Step by step:
3 people=1 group
3+3=6
6 people taken out of 18
2 groups already
3+6=9
9 out of 18 people taken
3 groups made
9+3=12
12 out of 18 people taken
4 groups made
12+3=15
15 out of 18 people taken
5 groups made
15+3=18
18 out of 18 people taken
Answer: 6 groups made
Short step by step:
18 divided by 3 equals 6
Or
3 times 6 equals 18
I really hope that made sense