Answer:
Step-by-step explanation:
The formula of a volume of a cone:
r - radius
H - height
We have
r = (7 : 2) in = 3.5 in
H = 4 in
Substitute:
A pole is used to support an observation platform. The top of the pole is secured by two guy wires, one 18 and the other 21 feet
in length. The 18 foot guy wire makes a 65± angle with the ground. How far apart, to the nearest foot, are the two wires at the points where they are anchored to the ground?
1 answer:
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Answer:
<h2>B. The slope is 5 and (2, 4) is on the line.</h2>Step-by-step explanation:
The point-slope form of an equation of a line:
<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point</em>
<em />
We have the equation:
Therefore
<em>m = 5</em>
<em>(x₁, y₁) = (2, 4)</em>
<em />
<h3>Volume of the remaining solid = 628 cm^2</h3><h3>Whole surface area = 659.4 cm^2</h3>
Step-by-step explanation:
Now, Given that:-
Diameter (d) = 10 cm
So, Radius (r) = 10/2 = 5cm
Height of the cylinder = 12cm.
Radius of the cone = 5 cm.
Height of the cone = 12 cm.
Volume of the cone = 1/3 *πr^2h
therefore, the volume of the remaining solid
Curved surface of the cylinder =
therefore, The whole surface area of the remaining solid
= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder
Answer:
The answer is below
Step-by-step explanation:
From the image attached, the measurement of the roof is 5 m by 9 m on both sides. Hence:
Area of roof = 2 (5 * 9) = 90 m²
Since solar panels cost $4.00 per square meter, therefore:
Cost of solar panels = $4.00 per square meter * 90 m² = $360
The area of the front wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) - (4 m * 4 m) = 52 m²
The area of the back wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) = 68 m²
Area of each side wall of barn = 9 m * 7 m = 63 m²
Total area of wall = 52 m² + 68 m² + (2 * 63 m²) = 246 m²
Cost of shingles = $2.50 for each square meter * 246 m² = $615
Total cost of project = $615 + $360 = $975
