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german
3 years ago
10

What Is the value of the y-intercept of the graph of h(x)=29(5.2)^x

Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0

Answer:

  29

Step-by-step explanation:

Put x=0 into the function and do the arithmetic.

  h(0) = 29(5.2)^0 = 29(1)

  h(0) = 29 . . . . the y-intercept

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If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building?
elena55 [62]

The closer Diana gets to the building, the smaller the angle becomes

Diana is 17.6 feet closer to the building

<h3>How to calculate the distance from the building</h3>

To calculate the distance between her and the building, we make use of the following tangent ratio

\tan(\theta) = \frac{h}{d}

Where:

  • \theta = 40^o
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So, we have:

\tan(40) = \frac{130}{d}

Make d the subject

d = \frac{130}{\tan(40)}

Evaluate tan(40)

d = \frac{130}{0.8391}

d = 154.93

Initially, Diana is at a distance of 172.53.

The difference in both distance is:

\Delta d = 172.53 - 154.93

\Delta d = 17.6

Hence, Diana is 17.6 feet closer to the building

Read more about trigonometry ratios at:

brainly.com/question/4326804

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2 years ago
Jason can make 7 origami cranes in 10 minutes. How many minutes will it take to make 1505 origami cranes
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Step-by-step explanation:

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Answer:

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