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Oxana [17]
3 years ago
8

HELP ITS REALLY URGENT

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer/Step-by-step explanation:

a. m<h = x°

Two angles to use in finding x are <h and 55°

Angle pair formed: linear pair angles

b. x° + 55° = 180° (linear pair)

Subtract 55° from each side

x + 55 - 55 = 180 - 55

x = 125°

c. Given: m<n = y°

Two angles to use in solving for y are: <h and <n

Angle pair formed: alternate exterior angles

d. m<n = y° (given)

m<n = x° = 125° (as solved in 2b)

Therefore:

y = x (alternate exterior angles are congruent)

thus:

y = 125° (substitution)

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7330 sq.ft

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Plug in the values into the formula

Area of sector = \frac{84}{360} \times \pi 100^2

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From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t whe
Alexandra [31]

Question

a) What is the decay factor?

b) What is the percent decrease?

c) Estimate the number of black and white TV's  sold in 1999.

Answer:

a. Decay factor = 0.85

b. Percent decrease = 15%

c. 19.363  million TVs were sold

Step-by-step explanation:

Given

n = 26.8(0.85)^t

Solving (a): The decay factor

An exponential function has the form

y = ab^x

Where b is:

b = decay\ factor\ or\ growth\ factor

By comparison:

b = 0.85

Solving (b): Percentage decrease:

Percentage decrease P is calculated as follows:

P = 1 - b

Substitute 0.85 for b

P = 1 - 0.85

P = 0.15

Convert to percentage

P = 0.15*100\%

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Solving (c): TVs sold in 1999

First, we need to determine the value of t for 1999

In 1997, t= 0

In 1998, t= 1

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3 years ago
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