Answer:
greatest number of areas that can be created=5
Step-by-step explanation:
given data
Number of pine trees = 45
Number of oak trees = 30
solution
we want area have same number of both trees
so we get here greatest number of area
we find here greatest common factor of 45 and 30
so Prime factorization of 45 and 30 are
45 = 3 × 3 × 5
30 = 2 × 3 × 5
as here GCF = 5
so here greatest number of areas that can be created=5
<u>Answer:</u>
- 6. 6.75
- 7. 27
- 8. 92/17
- 9. 49
<u>Step-by-step explanation:</u>
<u>- Question 6 -</u>
- 9/16 = x/12
- => 16x = 12 x 9
- => 16x = 108
- => x = 6.75
Hence, <u>the value of x in this proportion is 6.75.</u>
<h3>_______________________________</h3>
<u>- Question 7 -</u>
- -3 + x/18 = 12/9
- => -3/18 + x/18 = 4/3
- => x/18 = 4/3 + 1/6
- => x/18 = 8/6 + 1/6
- => x/18 = 9/6
- => x = 9/6 x 18
- => x = 27
Hence, <u>the value of x is 27</u>
<h3>_______________________________</h3>
<u>- Question 8 -</u>
17/15 = 10/2x - 2
=> 17(2x - 2) = 150
=> 34x - 34 = 150
=> 34x = 184
=> x = 184/34
=> x = 92/17
Hence, <u>the value of x is 92/17</u>
<h3>_______________________________</h3>
<u>- Question 9 -</u>
- x - 16/x + 6 = 3/5
- => 5(x - 16) = 3(x + 6)
- => 5x - 80 = 3x + 18
- => 2x = 98
- => x = 49
Hence, <u>the value of x is 49.</u>
<h3>_______________________________</h3>
Hoped this helped.
Answer:
21 ft
Step-by-step explanation:
C = 2πr
Filling in the given values, we have ...
131.88 ft = 2·3.14·r . . . . we can find r by dividing by its coefficient
131.88 ft/6.28 = r = 21 ft
