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PIT_PIT [208]
2 years ago
12

Find the measure of the angle formed between the base of the cone and a line segment that represents the slant height.

Mathematics
1 answer:
Natali [406]2 years ago
6 0
Remark.
Thank you for the clear diagram. You need to find AB somehow. When you do you can find the desired angle by using the inverse tan.

Step One
Find AB
AB = the radius of the cone
AB = 1/2 the diameter of the cone
AB = 1/2 * 4
AB = 2 inches.

Step two
Determine The Tangent of the desired angle
Tan(A) = opposite of adjacent
opposite side = h = 6 inches
Adjacent = AB = radius = 2 inches.

Tan(A) = 6/2 = 3 

Step 3
Find the inverse Tan
A = inverse Tan(A)
A =  inverse Tan(3)
A = 71.57 degrees <<<<< Answer.

There are other ways of finding the angle you want, but I think this is the quickest.
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Step-by-step explanation:

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2 years ago
An apartment building is infested with 6.2 X 10 ratsOn average, each of these rats
Liono4ka [1.6K]

Answer: 3.41x10^3

Step-by-step explanation:

At the beginning of the year, we have:

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5 0
2 years ago
On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negat
Romashka-Z-Leto [24]

Given:

Line P Q has points (-5, 3) and (5, 1).

Line R S has points (-4, -2) and (0, -4).

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The relationship between lines PQ and RS.

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m=\dfrac{y_2-y_1}{x_2-x_1}

Line P Q has points (-5, 3) and (5, 1). So, slope of line PQ is

m_1=\dfrac{1-3}{5-(-5)}

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m_1=\dfrac{-1}{5}

Line R S has points (-4, -2) and (0, -4). So, slope of line RS is

m_2=\dfrac{-4-(-2)}{0-(-4)}

m_2=\dfrac{-4+2}{0+4}

m_2=\dfrac{-2}{4}

m_2=\dfrac{-1}{2}

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m_1\neq m_2

They are not parallel because their slopes are not equal.

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3 0
2 years ago
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