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3 years ago

The measure of central angle YCZ is 80 degrees

Mathematics

2 answers:

Vera_Pavlovna [14]3 years ago

6 0

Answer:

The answer is 36 units2

Step-by-step explanation:

I took the test so I’m right

PolarNik [594]3 years ago

6 0

Answer: 36 pi units 2

Step-by-step explanation: took the test

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Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh

svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by $p = 130e^{0.0205t}$ (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 = $p = 130e^{0.0205(29)}$

$p = 130e^{0.5945}$

$p =130(1.81212465608)=235.57620529\approx236$

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

$300 = 130e^{0.0205t}$

$2.3077= e^{0.0205t}$ (Divide both sides by 130)

Taking Natural log on both sides,

$\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}$

$t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41$

Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

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3 years ago

Shapes I and II are <br> neither congruent nor similar<br> .

GarryVolchara [31]

Answer: They are similar but not congruent.

Step-by-step explanation: hope this help

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2 years ago

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Reduce to the lowest term: 30/40

natulia [17]

Answer:

3/4

Step-by-step explanation:

Reduce both the numerator and the denominator by 10, their greatest common factor.

6 0

3 years ago

Which of the following points is a solution to the system of linear inequalities?

IrinaK [193]

Answer:

C. (5, 3)

Step-by-step explanation:

this point is within the answer area... look below at the graph of both linear inequalities

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3 years ago

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Find the probability for choosing a letter at random from the word: Probability P(not P) A.) 1/11 B.) 2/11 C.) 5/11 D.) 10/11

elixir [45]

Answer:

D.) 10/11

Step-by-step explanation:

Here the given word Probability has 11 letters in it. And we have to calculate the Probability of not selecting a letter P from the above word.

So the formula for calculating any probability is Total Favorable outcomes / Total number of outcomes.

Here total number of outcomes are 11 as word Probability has 11 letters.

So the probability of selecting letter P from word Probability = $\frac{1}{11}$

Now the P(not P) = 1 - P(selecting letter P)

= 1 - $\frac{1}{11}$ = $\frac{10}{11}$

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3 years ago