From.the calculated area and perimeter of the field, it will cost the farmer $475740 to fence and seed the pasture.
<h3>What is the area of the field?</h3>
The area of the field is calculated as follows:
Area of square = 450 ft × 450 ft = 202500 square feet
Area of triangle = (450 ft × 120 ft)/2 = 27000 square feet
Area of field = 229500 square feet
Cost of seeding the field = 229500 × $2 = $459000
Perimeter of the field = 450 + 450 + 450 + 255 + 255 = 1860 ft
1 ft = 1/3 yard
1860 ft = 1860 × 1/3 yards = 620 yards
Cost of fencing = 620 × $27 = $16740
Total cost of seeding and fencing = $475200
Therefore, it will cost the farmer $475740 to fence and seed the pasture.
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Answer:
Option (4)
Step-by-step explanation:
By the property of exterior angle of a triangle,
"Exterior angle of a triangle is equal to the sum of two opposite interior angles."
In the triangle ABC,
∠ACD is an exterior angle and ∠BAC and ∠ABC are the opposite interior angles.
m∠ACD = m∠BAC + m∠ABC
95° = m∠BAC + m∠ABC
Therefore, Option (4) will be the correct option.
Answer:
1. (-7, 5 ) and (-1, 3)
(3-5)/(-1+7)= -2/6 = -1/3
y - 5 = (-1/3)(x + 7)
y - 5 = (-1/3)x - 7/3
y - 15/3= (-1/3)x - 7/3
y = (-1/3)x + 8/3
2. (-1-3)/(3-0)= -4/3
y + 3 = (-4/3)(x + 1)
y + 3 = (-4/3)x - 4/3
y + 9/3 = (-4/3)x - 4/3
y = (-4/3)x + 5/3
the answer is neither
The square root of 1764 using perfect factors is 42
<h3>How to determine the
square root using
perfect factors?</h3>
The number is given as:
1764
Rewrite as
x^2 = 1764
Express 1764 as the product of its factors
x^2 = 2 * 2 * 3 * 3 * 7 * 7
Express as squares
x^2 = 2^2 * 3^2 * 7^2
Take the square root of both sides
x = 2 * 3 * 7
Evaluate the product
x = 42
Hence, the square root of 1764 using perfect factors is 42
Read more about perfect factors at
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Answer: 30^2 * pi = 2827.43.
