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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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A spherical balloon has a circumference of 21 cm. What is the approximate surface area of the balloon to the nearest square cent
gregori [183]
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8 0
2 years ago
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Which expression is equivalent to StartRoot 128 x Superscript 8 Baseline y cubed z Superscript 9 Baseline EndRoot? Assume y grea
Nataly [62]

Answer:

Option C.

Step-by-step explanation:

The given expression is  

\sqrt{128x^8y^3z^9}

It can be written as

\sqrt{(64\cdot 2)\cdot x^8\cdot y^{2+1}\cdot z^{8+1}}

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=\sqrt{(8x^4yz^4)^2\cdot 2yz}

=8x^4yz^4\sqrt{2yz}

Therefore, the correct option is C.

6 0
2 years ago
A customer/member owes $11.02 and pays $100.00 in cash. Change due is $88.98. True or False?
Ugo [173]

Answer:

  true

Step-by-step explanation:

$100 -11.02 = $88.98 . . . . true

3 0
2 years ago
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Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas cost
DENIUS [597]

Answer:

(17.5 / 120 - 2v) + (15 / v)

Step-by-step explanation:

Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,

chauffeur is paid $15/hour

gas cost = $3.5/gallon.

Gasoline cost per mile :

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Cost per gallon * 1/(m(v))

$3.5 * 1 / (120 - 2v) / 5

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Chauffeur cost = 15 per hour / v

Hence ;

Total cost :

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(17.5 / 120 - 2v) + (15 / v)

8 0
1 year ago
evan has a job selling magazine and newspaper subscriptions. he earns $23 for each magazine subscription and $54 for each newspa
SashulF [63]
First we write the variables already defined:
 m = the number of magazine subscriptions sold
 n = the number of newspaper subscriptions sold
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 Answer: 
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 m + n> = 10
5 0
2 years ago
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