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Inessa05 [86]
3 years ago
14

Lucy earns money each week for her allowance. Analyze the graph. How many weeks will it take for her to earn $120? if she gets $

10 every week?
Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

12 weeks because 12weeks*$10 is $120 total.

Step-by-step explanation:

you didn't post a pic of the graph so this is my best guess.

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3 years ago
The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e
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Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

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What is the volume of the pyramid? 540ft3 48ft3 150ft3 432ft3
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The volume of the pyramid is 432ft3.

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