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olga_2 [115]
3 years ago
9

How to solve this question.

Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0
X is greater than or equal to 8

x is greater than or equal to 2
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The figure below shows a circular park. Its radius is 18 yd.
Naddika [18.5K]
  • Radius=r=18yd

Circumference

  • 2πr
  • 2(18)(3.14)
  • 36(3.14)
  • 113.04yd

Area

  • πr²
  • π(18)²
  • 324π yd²
3 0
2 years ago
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The ratio of foreign students to American students at a college is 2 to 35. How many foreign students attend this college if the
oee [108]
You have to divide 1575 by 35 which equals 45 and then multiply that by 2 which equals 90. There are 90 foreign students
3 0
3 years ago
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A map of a new dog park shows that it is triangular and that the sides measure 18.5m, 36.9m, and 16.9m. Are the dimensions corre
r-ruslan [8.4K]
In order to check whether the length of the sides are applicable to form a triangle is that we have to make sure that the sum of the length of two side should be greater than the third side.

<span>18.5 m, 36.9 m, and 16.9 m
18.5 m < </span><span>36.9 m +16.9 m
</span>36.9 m < 18.5<span> m +16.9 m
</span>16.9 m < 18.5 m + <span>36.9 </span>m

So the dimensions are correct!
5 0
3 years ago
What is the sum of the first 51 consecutive odd positive integers?
Angelina_Jolie [31]
We call:

a_{n} as the set of <span>the first 51 consecutive odd positive integers, so:

</span>a_{n} = \{1, 3, 5, 7, 9...\}

Where:
a_{1} = 1
a_{2} = 3
a_{3} = 5
a_{4} = 7
a_{5} = 9
<span>and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

</span>a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}
<span>
Then:

</span>a_{n} = a_{1} + (n-1)d
<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

</span>S_{k} = ( \frac{a_{1} +  a_{k}}{2}  ).k
<span>
Therefore, we need to find:
</span>a_{k} =  a_{51}  

Given that a_{1} = 1, then:

a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1

Thus:
a_{k} = a_{51} = 2(51)-1 = 101

Lastly:

S_{51} = ( \frac{1 + 101}{2} ).51 = 2601 

4 0
3 years ago
Felix bought 3 pounds of patatoes for $2.00.At that rate, what would be the price of 2 pounds of potatoes?
bekas [8.4K]
2.00/ 3= 0.67
2x 0.67=1.31
4 0
3 years ago
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