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Liono4ka [1.6K]
3 years ago
14

Which of the following is a unit of measurement used in the apothecary system?

Mathematics
1 answer:
dlinn [17]3 years ago
7 0
I believe it is option D

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A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?
Dovator [93]

Answer: 480 in^3

Step-by-step explanation:

v= l * w*h

v = 12 * 8 * 5

v=  480

3 0
3 years ago
Can anyone give me a way to solve geometric sequence?
MArishka [77]
Geometric sequence is Exponential.
Geometric Recursive
a1=2
an=4 an-1
2,8,32,128,512
7 0
3 years ago
Can someone help me?
Ne4ueva [31]

Answer:

Step-by-step explanation:

All the interior angles are of measure 60 degrees.

We want to find the height of this triangle.  Call it h.  On the left side of this illustration is a right triangle with height h and base (1/2)(10), or 5.

The ratio of height to base is the tangent of 60 degrees:

                                    h

tan 60 degrees = --------------

                                     5

                                                  h

and tan 60 degrees = 1.73  = ------

                                                   5

Multiplying both sides of this equation by 5 yields h = 8.66.  This is |BD|.  This is the same as Answer B.

4 0
3 years ago
(a) Suppose you have 9 gold coins that look identical, but you also know one (and only one) of them is counterfeit. The counterf
alisha [4.7K]

Answer:

Step-by-step explanation:

You can split the coins into 3 groups, each of them has 3 coins. Weigh group 1 vs group 2, if one is lighter, that group has the fake coin. If both groups weigh the same, then group 3 has the fake coin.

Continue to split the group that has the fake coin into 3 groups, each group has 1 coin. Now apply the same procedure and we can identify the fake coin.

Total of scale usage is 2

b) if you have 3^n coins then you can apply the same approach and find the fake coin with just n steps. By splitting up to 3 groups each step, after each step you should be able to narrow down your suspected coin by 3 times.

Step 1: you narrow down to group of \frac{3^n}{3} = 3^{n-1} coins

Step 2: you narrow down to group of \frac{3^{n-1}}{3} = 3^{n-2} coins

Step 3: you narrow down to group of \frac{3^{n-2}}{3} = 3^{n-3} coins

...

Step n: Step 1: you narrow down to group of 3^{n-n} = 3^0 = 1coin

8 0
3 years ago
Change 2/7% to a ratio
andre [41]
(2/7)% = 

<span>(2 / 7) / 100 = </span>

<span>2 / 700 </span>

<span>2 : 698 </span>

<span>1 : 349</span>
7 0
3 years ago
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