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3 years ago

Which of the following may be used as reasons in a two-column proof? Select all that apply.

Mathematics

1 answer:

serious [3.7K]3 years ago

4 0

Answer:

definitions, theorems, postulates, properties, and "given"

Step-by-step explanation:

Definitions, theorems, postulates, properties, and statements that are given are all either assumed to be true or proven to be true, and can be cited in a two-column proof.

Quotes and opinions are not statements of fact, and cannot be used in proofs.

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The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula $P(t)=466\cdot 1.035^t$ , which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

$900=466\cdot 1.035^t$

$\frac{900}{466}=\frac{466\cdot 1.035^t}{466}$ $1.9313304721030043=1.035^t$

Take natural log of both sides:

$\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)$

$0.658209129198=t\cdot 0.034401426717$

$\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}$

$19.1331927775=t\\\\t=19.1331927775$

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

$1990+20=2010$

Therefore, 900 million passengers would travel by airline in 2010.

6 0

3 years ago

Giselle bought a dress for $35 and three t-shirts. She used a coupon for $2.50 off each t-shirt. The total cost can be modeled b

aniked [119]

It’s represents the coupon for each shirt being taken on the price of each shirt

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3 years ago

Which names are other ways to name ∠1?

vesna_86 [32]

∠1 is an angle formed by the two lines PF and YF at point F

We can also call this angle as ∠PFY because it indicates the point F in the middle where the angle is formed

We can call this angle as ∠YFP because it also indicates the point F in the middle where the angle is formed

we can also call this angle ∠F since F is the point where the angle is formed.

Correct answer: ∠PFY, ∠YFP, ∠F

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3 years ago

Marko is buying carpet for his bedroom floor. His room measures 13 feet by 12 feet. How many square feet of carpet will Marko ne

Margaret [11]

I think the answer is 156, I got this by multiplying 12 times 13.

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4 years ago

Read 2 more answers

HELP HELP HELP HELP HELP HELP

dezoksy [38]

10 root 2
10^2 + 10^2 = 200
200 is 10 root 2

5 0

3 years ago