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laila [671]
3 years ago
13

Around balloon has a diameter of 7 3/8 inches which of the following is closest to the number of cubic inches of Air can hold it

?

Mathematics
1 answer:
k0ka [10]3 years ago
5 0

Answer:

F

Step-by-step explanation:

It might not be F. I think it is though

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A tourist at scenic Point Loma, California uses a telescope to track a boat approaching the shore. If the boat moves at a rate o
Taya2010 [7]

9514 1404 393

Answer:

  0.4424°/s

Step-by-step explanation:

We can get an answer to the desired accuracy by approximating the rate of change over a small time interval.

0.05 seconds before the time of interest, the boat will be ...

  210 +10(0.05) = 210.5

meters from shore. The angle of depression from the observer is ...

  tan(θ) = (35 m)/(210.5 m)   ⇒   θ = arctan(35/210.5) ≈ 9.440251°

Then 0.05 seconds after the time of interest, the angle of depression will be ...

  θ = arctan(35/(210-0.05(10))) = arctan(35/209.5) ≈ 9.484495°

The rate of change of angle of depression over that 0.1-second period is ...

  (9.484495° -9.440251°)/(0.1 s) ≈ 0.4424°/s

_____

<em>Additional comment</em>

If you write the function relating angle θ and time t, you would have ...

  θ = arctan(35/(210-10t))

The derivative of this with respect to time is ...

  θ' = 1/(1 +(35/(210-10t))²)×(350/(210 -10t)²) = 350/((210 -10t)² +35²)

At t=0, this is 350/(210² +35²) = 2/259 . . . . . radians per second

Then in degrees per second, the rate of change of angle is ...

  (2/259)(180/π) = 360/(259π) °/s ≈ 0.4424°/s

8 0
2 years ago
8,000 is invested in two different accounts earning 3% and 4% interest. If the two accounts earn a total of $295 in interest, ho
lesya692 [45]

Answer:

$5,500

Step-by-step explanation:

Let A be the amount invested at 3%, B the amount at 4%.

Total value:

1.A%2BB=8000

Interest:


Multiply eq. 1 by -3 and add to eq. 2,

-3A-3B%2B3A%2B4B=-24000%2B29500

highlight%28B=5500%29

Then from eq. 1,

A%2B5500=8000

highlight%28A=2500%29

3 0
3 years ago
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Use long division:<br> 3x2 + 2x-5<br> 3x-1
uysha [10]
This is the answer just open it.

5 0
3 years ago
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What is the shortest segment in the
anastassius [24]

Answer:

1034324

Step-by-step explanation:

6 0
2 years ago
Which of the following represents the difference between the central angles of the above regular polygons? Round to the nearest
solong [7]

Answer:

its 15.43

Step-by-step explanation:

you didnt put a picture for the polygons but im pretty sure this is from math nation.

6 0
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