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2 years ago

What value of theta makes sin(θ)=0.747 rounded to 2 decimal places

Mathematics

1 answer:

Zigmanuir [339]2 years ago

6 0

Answer:

$\theta\approx48.33^\circ$

Step-by-step explanation:

$\theta=sin^{-1}(0.747)\approx48.33^\circ$

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Country A has a growth rate of 4.9% per year. The population is currently 4 comma 151,000, and the land area of Country A is 1

kvv77 [185]

Answer:

There will be one person on 1 square yard of land after 1,892,147.588 years.

Step-by-step explanation:

Continuous exponential growth formula:

$P(t)=Pe^{rt}$

P(t)= Population after t years.

P= Initial population

r=rate of growth.

t= time in year

Given that,

Growth rate of country A (r)= 4.9% per year=0.049 per year.

Initial population (P)= 151,000.

Land area of country area= 14,000,000,000 square yards.

There will be one person on one square yard of land.

So, there will be 14,000,000,000 person for 14,000,000,000 square yard of land in country A.

P(t)=14,000,000,000 person

$\therefore 14,000,000,000= 151,000 e^{0.049t}$

$\Rightarrow e^{0.049t}=\frac{ 14,000,000,000}{ 151,000}$

Taking ln both sides

$\Rightarrow ln|e^{0.049t}|=ln|\frac{ 14,000,000,000}{ 151,000}|$

$\Rightarrow {0.049t}=ln|\frac{ 14,000,000,000}{ 151,000}|$

$\Rightarrow t}=\frac{ln|\frac{ 14,000,000,000}{ 151,000}|}{0.049}$

$\Rightarrow t}=1,892,147.588$ years

There will be one person for every square yard of land after 1,892,147.588 years.

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3 years ago

Given the following exponential function, identify whether the change represents

siniylev [52]

Hello there!

Using the given exponential function of y = 64(0.97)^x, we can tell that it is a decaying exponential function since the rate is less than 1.

The percent of decrease is 3% since 97% of the value is retained per x time.

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2 years ago

If 4 gallons of milk cost $16.76 how much would 7 gallons of milk cost

professor190 [17]

$16.76 divided by 4 = $4.19 each gallon
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zavuch27 [327]

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ruslelena [56]

C is the correct answer :-)

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