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pogonyaev
3 years ago
15

Frank has a compass but no straightedge. Which of the following can Frank construct with just the compass?

Mathematics
2 answers:
I am Lyosha [343]3 years ago
4 0
D A circle because a compass only draw circles or half circles
Bezzdna [24]3 years ago
3 0

Answer:

(D) A circle

Step-by-step explanation:

The question says that Frank does not have a straightedge. All the options except for a circle have straight lines in them, which means that you need a straightedge to draw them. However, a circle does not require a straightedge since it has no straight lines. This shows that the only possible answer would be D (a circle).

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3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters
Veseljchak [2.6K]

Answer:

Since the order of choice matters, we will permute the values.                       a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___  ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_<u>4</u>_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with  3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_<u>4</u>_ <u>_3_</u> ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_<u>4</u>_ _<u>3</u>_ _<u>2</u>_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

8 0
3 years ago
Write an equation of the circle with center (3, -6) and radius 5.
lesya692 [45]

Answer:

formula for a circle: (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius.

1. Plug in center coordinates into formula

(x-3)^2 + (y-(-6))^2 = r^2

2. Plug in radius value

(x-3)^2 + (y-(-6))^2 = 5^2

3. Simplify:

(x-3)^2 + (y+6)^2 = 25

3 0
3 years ago
Read 2 more answers
Find the indicated angle measures. Then justify the answer. ​
ExtremeBDS [4]
Pretty sure it’s 65 since its alternate interior angles which equal 180
8 0
2 years ago
Find the values of the sine, cosine, and tangent for ZA.
kompoz [17]

Answer:

7x4=28 there

Step-by-step explanation:

8 0
2 years ago
If anyone understands this one
Murrr4er [49]
The answer is C, the commutative property of multiplication.
6 0
2 years ago
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