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kiruha
2 months ago
7

A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the

circumference of the circular base of the cone and = 120°. Find:
a. the angle between [A F] and the base of the cone

Mathematics
1 answer:
PIT_PIT [12.4K]2 months ago
8 0

Answer:

The angle formed between [A_F] and the base of the cone measures 68.2°.

The surface area of the cone's base is approximately 12.57 m².

Step-by-step explanation:

The parameters given are;

Height of the cone = 5 m

Base radius of the cone = 2 m

The angle denoted as A\hat OC = 120°

Thus, we have;

The angle between [A_F] and the cone's base = The angle formed between [CF] and the base of the cone

The angle between [CF] and the cone's base = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°

Therefore, the angle between [A_F] and the base of the cone is 68.2°.

To find the area of the cone's base, we use π × r² = π × 2² = 4·π ≈ 12.57

The base area of the cone ≈ 12.57 m².

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Shane and Abha received a team badge for gathering at least 2000 cans for recycling.

This indicates that their collection must total a minimum of 2000 cans.

Abha managed to collect 178 more cans than Shane.

Let’s denote the number of cans Shane collected as S

So, Abha collected = S + 178

The inequality representing the number of cans collected by Shane can be expressed as:

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= 2S+178\geq 2000

2S\geq 2000-178

2S\geq 1822

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Ashley is doing some math exercises on a website called Khon Academy. In Khon Academy, you have to get at least 70% of the probl
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The market price of a house is directly proportional to the total area of the house in square feet. If the price of a 1,500 squa
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The cost for a 2,000 square foot house is \$400,000

Detailed explanation:

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The direct variation equation is:

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3 months ago
Question Number 12 You are a landscaper working on the design of a parking lot in a new shopping center. You are measuring the l
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Answer:

Length\: of\: D=37\frac{3}{16} \:feet

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Here are the details provided:

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2 months ago
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