Answer:
125
Step-by-step explanation:
25 x 6 = 150
150 - 25
The current area is 15 x 9 = 135 square feet.
He wants to increase both the length and width by X:
Set up an equation:
(15 +x) * (9 +x) = 135 * 2
Simplify :
x^2 + 24x + 135 = 270
Subtract 270 from both sides:
x^2 + 24x - 135 = 0
Use the quadratic formula to solve for x:
-24 +/- √(24^2 - 4(1*-135) / 2*1
x = 4.7 or -28.7
The answer has to be a positive value, so x = 4.7 feet.
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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Answer:
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Step-by-step explanation:
Answer:
Total number of members in month 34 is 1341 members.
Step-by-step explanation:
We have given,
Number of fans join a club in first month = 1044
And after the first month nine new members are allowed to join each month.
After first month , Let the number of club members in x months will be given as:
Number of members = 1044 + 9x
We need to find number of members in month 34.
So for first month we already had 1044 members, that mean for remaining 33 months we need to calculate members.
i.e total number of members in month 34 = 1044 + (33×9 ) , {Since x = 33 here}
OR total number of members in month 34 = 1044 + 297 = 1341 members
