Answer:
A baseball diamond is a square with sides of 90 feet. What is the distance to the nearest tenth of a foot between home and second base?
Step-by-step explanation:
127.3 feet This problem requires the use of pythagoras theorem. Ignore the face that it's a baseball diamond. All you're concerned with is that you have a square that's 90 feet per side and you want to know what the length of the diagonal. So you have a right triangle with 2 sides of 90 feet each and you want to know the length of the hypotenuse. The formula is C^2 = A^2 + B^2 Both A and B are 90, so plugging them into the formula gives C^2 = 90^2 + 90^2 = 8100 + 8100 = 16200 So C^2 = 16200 Take the square root of both sides C = 127.2792 Round to the nearest tenth, giving C = 127.3
Answer:
What line is perpendicular to the line 2x + 3y = 6 through (4, 1)? Explanation: The given equation is in standard form, so it must be converted to slope-intercept form: y = mx + b to discover the slope is –2/3. To be perpendicular the new slope must be 3/2 (opposite reciprocal of the old slope).
Step-by-step explanation:
Given that h = 2,
h + h = 2 + 2
h + h = 4
Answer: h = 4
The width of border is 1.5 feet
<h3><u>
Solution:</u></h3>
Given that small garden measures 9 ft by 13 ft
A uniform border around the garden increases the total area to 192 ft square
To find: width of border
Let the width of border be "x"
Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet
The total area of garden = 192 square feet
<em><u>Let us solve the above equation by quadratic formula</u></em>
Using the above formula,
For 
, we have a = 4 ; b = 44 ; c = -75
Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,
Since "x" cannot be negative,
we get x = 1.5
Thus width of border is 1.5 feet
