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Answer:
Step-by-step explanation:
We need to find the distance between the points (5, 2) and (1, 9). In order to do this, we will use something called the distance formula. The distance formula is written as follows:
Now we need to plug in our points which we have given in the form (x, y):
Next, perform the operation of subtraction inside the parentheses to simplify:
The exponent is the next step in the order of operations, so square 4 and -7:
Finally, add 16 to 49:
The square root of 65 cannot be simplified further, but an approximation can be made.
≈ 8.062257748
Answer:
3.41 feet
Step-by-step explanation:
Area = Length × Breath
Area of the rectangular lawn = 100 × 50
= 5000 feet²
The sidewalk must occupy an area no more than 10% of the total lawn area.
So, the area of the sidewalk would be not more than = 10% × 5000
= 0.10 × 5000
= 500 feet²
Let the width of the sidewalk = x feet
area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)
(100 × x) + ((50 - x) × x) < 500
100x + (50-x)(x) < 500
-x² + 150x < 500
-x² + 150x = 500
-x² + 150x - 500 = 0
By using quadratic formula
or
x = 3.41089 ≈ 3.41 feet or x = 146.58
Therefore, width of the sidewalk would be 3.41 feet.
Answer:
Step-by-step explanation:
Before adding we require the fractions to have a common denominator
The lowest common denominator of 2, 5 and 3 is 30, thus
+
+
= +
+
Add the numerators leaving the denominator
= =