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balandron [24]
3 years ago
11

A circle is inscribed in an equilateral triangle with a side length measuring 10 mm.

Mathematics
1 answer:
Tamiku [17]3 years ago
8 0
For side length s the area of the triangle is
.. A = (√3)/4*s^2
The radius of the circle will be
.. r = s/(2√3)
so the area of the circle is
.. A = π*r^2 = π*s^2/12

The fraction of the triangle that is not in the circle is
.. 1 - (π/12)/((√3)/4)
.. = 1 -π/(3√3)
.. ≈ 39.54%
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A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector
babunello [35]

Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

Perimeter of Sector, P = arc length, s + 2r

Perimeter = rθ + 2r

r = Radius

18cm = r(2.5) + 2r

18cm = 2.5r + 2r

18cm = 4.5r

r = 18 /4.5

r = 4

8 0
3 years ago
A pool of possible jurors consists of 14 men and 10 women. How many different juries consisting of 5 men and 7 women are possibl
Doss [256]
It is d. 240,240

hope this helps

7 0
3 years ago
Read 2 more answers
The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t
valentina_108 [34]
The answer is  0 < x <span>≤ 7 
</span>
First, we know that width =  x
Which means that length = x +18

So, the possible equation for the Table's area is

X (X + 18)  ≤ 175

X^2 + 18x - 175  <span>≤ </span>0

Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81

(x + 9)^2 </span><span>≤ 256

|x + 9| </span><span>≤ sqrt(256)

|x + 9| </span><span>≤ +-16

-16 </span>≤ x + 9 <span>≤ 16

</span>-16 - 9 ≤ x <span>≤ 16 - 9

</span>-25 ≤ x <span>≤ 7

Since the width couldn't be negative, we can change -25 with 0,

so it become
</span> 0 < x ≤ 7 
7 0
3 years ago
In 3x−7≤ -2 what is the largest integer value of x in the solution
PtichkaEL [24]

Answer:

X is less than or equal to 1.66666666667

Step-by-step explanation:

3x-7(less than or equal to)-2

-7+7= 0

-2+7=5

3x divided by 3 cancles out

5 divided by 3 = 1.66666666667

x is less than or equal to 1.66666666667

8 0
2 years ago
what’s the answer and work for this??? SOMEONE PLEASEEEE TELLLLL MEEEE!!!!!
Cloud [144]

Answer:

ten scores in order: (Hint: These are in order)

81

81

  1. 82
  2. 84
  3. 85
  4. 86
  5. 89
  6. 93
  7. 94
  8. 95
  9. sum = 870
  10. mean = 870/10 = 87
  11. median 85.5 (5 above, 5 under)
  12. mode = 81 (there are two of them)

Hope this helped you solve the problem :)

Remember to type this correctly!

Found this on a website: jiskha.com/questions/1060894/the-test-score-for-a-math-class-are-shown-below-81-84-82-93-81-85-95-89-86-94-what-are

P.S Bad at Math.

Step-by-step explanation:

Skills needed: Addition Multiplication Division Data Sets

When you get a big set of data there are all sorts of ways to mathematically describe the data. The term "average" is used a lot with data sets. Mean, median, and mode are all types of averages. Together with range, they help describe the data. Definitions: Mean - When people say "average" they usually are talking about the mean. You can figure out the mean by adding up all the numbers in the data and then dividing by the number of numbers. For example, if you have 12 numbers, you add them up and divide by 12. This would give you the mean of the data. Median - The median is the middle number of the data set. It is exactly like it sounds. To figure out the median you put all the numbers in order (highest to lowest or lowest to highest) and then pick the middle number. If there is an odd number of data points, then you will have just one middle number. If there is an even number of data points, then you need to pick the two middle numbers, add them together, and divide by two. That number will be your median. Mode - The mode is the number that appears the most. There are a few tricks to remember about mode: If there are two numbers that appear most often (and the same number of times) then the data has two modes. This is called bimodal. If there are more than 2 then the data would be called multi-modal. If all the numbers appear the same number of times, then the data set has no modes. They all start with the letter M, so it can be hard to remember which is which sometimes. Here are some tricks to help you remember: Mean - Mean is the average. It's also the meanest because it take the most math to figure it out. Median - Median is the middle. They both have a "d" in them. Mode - Mode is the most. They both start with "mo". Range - Range is the difference between the lowest number and the highest number. Take, for example, math test scores. Let's say your best score all year was a 100 and your worst was a 75. Then the rest of the scores don't matter for range. The range is 100-75=25. The range is 25.

7 0
3 years ago
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