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1 year ago

PLEASE HELP

Mathematics

1 answer:

babunello [35]1 year ago

7 0

The expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2

Given that the softball diamond is square in shape.

Let the side of the square i.e. distance between consecutive bases is x

The distance from the 1st base to the 3rd base creates the hypotenuse of a right triangle, where each side is equal to x i.e. x is the side length of the square formed by the baseball diamond.

Using the Pythagorean theorem we have:

x² +x²= c²,

where c is the distance from the 1st base to the 3rd base.

Combining similar terms gives us

2x²=c²

Taking the square root of both sides we have

√2x²= √c²

⇒x√2=c

⇒c=x√2

This is the expression for the distance from the 1st base to the 3rd base in terms of side length.

Therefore the expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2.

Learn more about the Pythagorean theorem

here: brainly.com/question/231802

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Step-by-step explanation:

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The are of a shaded region is 118 ft squared. Which equation can be- used to find the value of X, in feet?

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Answer:

$x^2+ 18x -130=0$

Step-by-step explanation:

Given

See attachment for diagram

Required

The equation to find x

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So:

$A_1 - A_1 = 118$

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Open brackets

$3x^2 - 2x + 18x -12 -2x^2 +2x = 118$

Collect like terms

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<em>The above equation can be used to solve for x</em>

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Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes eac

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To find:

distance=?

Solution:

$5\ days\ \begin{cases} & \text{ if } \text{before school 2 miles} \\ & \text{ if } \text{after school x miles} \end{cases}$

$\therefore 5(x+2)=30\\\\$

$\bold{5(x+2)=30}\\\\\bold{5x+10=30}\\\\\bold{5x=30-10}\\\\\bold{5x=20}\\\\$

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