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mezya [45]
2 years ago
14

The figure shown is often used to prove the Pythagorean theorem. Part of the proof is

Mathematics
1 answer:
mixas84 [53]2 years ago
7 0

Answer:

if you need hlep with any thing we can do a zoom if you now how to set it up.

Step-by-step explanation:

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A basketball has a diameter of 9.5
zubka84 [21]

Answer:

C. \dfrac{4}{3}\pi\cdot(4.75)^3\ cm^3

Step-by-step explanation:

The volume of the ball with radius R can be calculated using formula

V=\dfrac{4}{3}\pi R^3

A basketball has a diameter of 9.5 cm, so its radius is

R=\dfrac{D}{2}=\dfrac{9.5}{2}=4.75\ cm

Hence, the volume of air the basketball can hold is

V=\dfrac{4}{3}\pi\cdot(4.75)^3\ cm^3

4 0
2 years ago
Eli invested $ 330 $330 in an account in the year 1999, and the value has been growing exponentially at a constant rate. The val
Cloud [144]

Answer:

The value of the account in the year 2009 will be $682.

Step-by-step explanation:

The acount's balance, in t years after 1999, can be modeled by the following equation.

A(t) = Pe^{rt}

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

$330 in an account in the year 1999

This means that P = 330

$590 in the year 2007

2007 is 8 years after 1999, so P(8) = 590.

We use this to find r.

A(t) = Pe^{rt}

590 = 330e^{8r}

e^{8r} = \frac{590}{330}

e^{8r} = 1.79

Applying ln to both sides:

\ln{e^{8r}} = \ln{1.79}

8r = \ln{1.79}

r = \frac{\ln{1.79}}{8}

r = 0.0726

Determine the value of the account, to the nearest dollar, in the year 2009.

2009 is 10 years after 1999, so this is A(10).

A(t) = 330e^{0.0726t}

A(10) = 330e^{0.0726*10} = 682

The value of the account in the year 2009 will be $682.

4 0
2 years ago
Joey is building a frame for a sandbox. The sandbox is going to be a quadrilateral that has the lengths shown. A rectangle is sh
adelina 88 [10]

Answer- it’s A

Step-by-step explanation:

8 0
1 year ago
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Suppose a scheduled flight must average at least 60% occupancy to be profitable. A sample of 120 flights on a particular route w
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Answer: see the graphic

Step-by-step explanation:

A. Type I error helps us to conclude that the flight is not profitable, when in fact it is profitable.

B. a = 0.05

C. Type II error does not show that the flight is profitable

8 0
2 years ago
Enter the values for a, b, and c in the factored form.<br> P(x) = (x – 5)(ax2 + bx + c)
pochemuha
Ax^3 - 5ax^2 + 5bx + cx -5c
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