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shusha [124]
2 years ago
11

From a hot-air balloon, Madison measures a 36^{\circ}

Mathematics
1 answer:
krek1111 [17]2 years ago
3 0

The balloon’s vertical distance above the ground is 570.3 feet

<h3>Angle of elevation and depression</h3>

Given the following parameters

The angle of depression = 36 degrees

Base distance =  785 feet

<h3>Required</h3>

vertical distance above the ground (H)

Using the SOH CAH TOA identity

tan 36 = H/785
H = 785tan36

H = 570.3 feet

Hence  the balloon’s vertical distance above the ground is 570.3 feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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2 years ago
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour. The rates that Latoya
Hatshy [7]

Answer:

Layota

$47.5

Step-by-step explanation:

Let number of hours = x

Given that:

Oscar's charges :

First hour = $25

Additional hours = $15

Thus :

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The piece wise equation given for Layota's charge rate :

First 3 hours = $30

Next 3 hours = $20

Hours greater Than 6 = $10

If total hours ; x = 5.5 hours

Oscar :

$25 + $15(5.5 - 1)

$25 + $15(4.5)

$25 + $67.5

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Layota:

First 3 hours :

$30 * 3 = $90

Hours left :

$20 * (5.5 - 3)

$20 * 2.5 = 50

Total = $90 + $50 = $140

Layota charges more : 140 > 92.5

Difference :

$140 - $92.5

= $47.5

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3 years ago
What is 1.8333 written as a simplified fraction
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18333/10000
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Find the surface area of a square pyramid with a length of 5 cm and a slant height of 8cm.
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Area of one of the triangular side = 1/2 * 5 * 8 = 20 cm^2 and there are 4 sides
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Volume of the cone = (1/3) pi r^2 h
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