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2 years ago

The circumference of a circle is 3 pie inches. What is the area of the circle

Mathematics

1 answer:

sweet [91]2 years ago

7 0

Answer:

A = 28.26

Step-by-step explanation:

Hello!! The area is:

A = 3.14 ( 3 )²

A = 3.14 ( 9 )

A = 28.26

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A certain quantity decays exponentially over time. The initial quantity at t = 0 is 25,000. The quantity decays at a rate of 5%.

7nadin3 [17]

In order to sole the problem you need to create an equation to model what you are trying to do.
You end up with an equation looking like
25000*0.95^t
25000 is the starting value when t=0
95% is the amount remaining after the 5% decay
0.95 is being raised to the power of t to determine how many times it has decayed
When t=3 the equation should be
25000*0.95^3=21434.375

3 0

3 years ago

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The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking.assume

Assoli18 [71]

Answer: $d=18t$

Step-by-step explanation:

By definition, Direct proportion equations have the following form:

$y=kx$

Where "k" is the constant of proportionality.

In this case you know that the distance (in meters) that an ant can travel varies directly with the amount of time (in hours) the ant spends walking.

With this information you can write the following equation:

$d=kt$

According to the exercise, the constant of proportionality is:

$k=18$

Therefore, substituting the value of the constant of proportionality into the equation, you get that the equation that represents the proportional relationship between "d" and "t" is:

$d=18t$

4 0

3 years ago

Examine the graphs and match each one with the correct coordinate rotation. You should match one graph with one rule.

irinina [24]

A is with b d with a c with e

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2 years ago

A shopper pays $45 for 3 packs of T-shirts. If each pack costs the same amount and contains

Andreas93 [3]

$3 per shirt I believe.

7 0

3 years ago

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Cot^2x csc^2x + 2 csc^2x –cot^2 = 2

kow [346]

Answer:

x = π/2 + πk

Step-by-step explanation:

cot² x csc² x + 2 csc² x − cot² x = 2

Multiply both sides by sin² x:

cot² x + 2 − cos² x = 2 sin² x

Add cos² x to both sides:

cot² x + 2 = 2 sin² x + cos² x

Pythagorean identity:

cot² x + 2 = sin² x + 1

Subtract 1 from both sides:

cot² x + 1 = sin² x

Pythagorean identity:

csc² x = sin² x

Multiply both sides by sin² x:

1 = sin⁴ x

Take the fourth root:

sin x = ±1

Solve for x:

x = π/2 + 2πk, 3π/2 + 2πk

Which simplifies to:

x = π/2 + πk

4 0

3 years ago