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Brilliant_brown [7]
3 years ago
12

How long was his beard when he fell asleep ? ​

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0
10 millimeters I think
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Find the area of a circle with radius, r = 5.64m.
Tpy6a [65]

Answer:

99.93 m^{2}

Step-by-step explanation:

1.  The area of a circle is defined by the equation: A = \pi r^{2}

2. We can plug in the radius and solve the equation: A = \pi *5.64^{2}

3. A = π * 31.8096

4. A = 99.932

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1 year ago
A sequence is shown below. 4, 8, 16, 32, . . . Which formula can be used to determine the nth term in the sequence? Use the form
zvonat [6]

Answer:

a8 = 512.

Step-by-step explanation:

This is geometric sequence with common ratio r = 2 and first term a1 = 4.

nth term = a1 r^(n-1)

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3 years ago
12 spheres of the same size are made from melting a solid cylinder of 1 cm diameter and 2 cm height. Find the diameter of each s
mars1129 [50]

The answer is: The diameter is 4 centimeters.

The explanation  is shown below:

1. The volume of the cylinder is:

Vc=r^{2}h \pi

Where r is the radius (r=\frac{16cm}{2}=8cm) and h is the height (h=2cm).

Then:

Vc=(8cm)^{2}}(2cm)\pi\\Vc=128\pi

2. The total volume of the 12 spheres is:

Vs=12(\frac{4}{3}r^{3}\pi)\\Vs=16r^{3}\pi

3. The volume of the cylinder and the total volume of all the 12 spheres, are equal, therefore:

Vc=Vs\\128\pi=16r^{3}\pi

4. Now, you must solve for the radius:

r=\sqrt[3]{\frac{128\pi}{16\pi}}\\r=2cm

5. The diameter is:

d=2r\\d=2(2cm)\\d=4cm

5 0
3 years ago
What are two equivalent forms for 15xyz+10xy+5x
7nadin3 [17]
We can express this number in the standard form, which is simply 15xyz+10xy+5x.  Alternatively, we can factor a 5 or an x out, receiving 5(3xyz+2xy+x) or x(15yz+10y+5).  However, the most effective factorization is to factor out 5x, for a result of 5x(3yz+2y+1).
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3 years ago
Looking for the Domain and range
Nuetrik [128]

Answer:

Its ]-infinity,+infinity[ for both domain and range

Step-by-step explanation:

3 0
3 years ago
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