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aniked [119]
3 years ago
8

Find the length of the diameter of circle O. Round to the nearest tenth.

Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

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What is 4 1/2 (-2+1+7) =
NeTakaya

Answer:

27

Step-by-step explanation:

convert calculate 9\2×6

reduce the numbers 9×3 =27

4 0
3 years ago
What is equity and liquidity?<br> (This subject is personal financing but I couldn't find it.)
Naily [24]
Liquidity describes the degree to which an asset or security can be quickly bought or sold in the market without effecting the assets prices, while equity is the value of the shares issued by a company. 
8 0
3 years ago
How do I find the answers to 17, 19, and 20?
Irina18 [472]

Answer:

17. 6

18. 18 (as shown)

19. 10/3 = 3 1/3

20. 20/3 = 6 2/3

Step-by-step explanation:

17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.

19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...

... GD = (1/3) CD = (1/3)·10 = 10/3

... GD = 3 1/3

20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.

... CG = CD -GD = 10 -3 1/3

... CG = 6 2/3

_____

<em>Comment on centroid and median</em>

The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.

The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.

Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)

3 0
3 years ago
A pan has an original price of $32 but is marked down by 15 percent. Which equation shows the new price of the price
sergejj [24]
We suggest, that the number 32 is 100% - because it is the output value of the task. 
<span>We suggest, that x is the value that we are looking for. </span>
<span>3. If 32 is 100%, so we can jot it down as 32=100%. </span>
<span>4. We know for sure, that x is 15% of the output value, so we can jot it down as x=15%. </span>
5. Now, these are the equations are we have.
1) 32=100%
2) x=15%
where the left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
32/x=100%/15%
6. Now we just have to work out the equation, and we'll get the answer that we want.

7. Answer for what is 15% of 32

32/x=100/15
<span>(32/x)*x=(100/15)*x       - </span>multiply both sides of the equation by x
<span>32=6.66666666667*x       - </span>divide both sides of the equation by (6.66666666667) to get x
<span>32/6.66666666667=x </span>
<span>4.8=x </span>
x=4.8

<span>15% of 32=4.8
So, the answer is $4.8
Hope this helped</span>
8 0
3 years ago
Read 2 more answers
Tamara is planting bushes around her house. So far today she has planted 5 bushes and she wants to plant at least 12 bushes toda
bixtya [17]

Answer:

b+5\geq 12

Step-by-step explanation:

Given:

Number of bushes planted = 5

Minimum number of bushes to be planted = 12

Let the number of bushes planted after planting 5 bushes be b.

Since, Tamara has already planted 5 bushes, total number of bushes planted is given as:

b+5

Now, as per question, total number of bushes should be 12 or greater than 12.

Therefore, b+5\geq 12.

6 0
2 years ago
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