<h3><u>Given</u><u>:</u><u>-</u></h3>
- Perimeter of parallelogram = 66 ft
<h3><u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u><u>-</u></h3>
Find the longest side of a parallelogram.
<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>
Perimeter of parallelogram = 2 ( a + b )
<h3>
<u>Solution:-</u><u> </u></h3>
We know that,
Perimeter of parallelogram = 2 ( a + b )
★ Substituting the values in the above formula,we get:
⇒ 66 = 2 ( 3x + 1 + 2x - 3 )
⇒ 66 = 2 ( 5x - 2 )
⇒ 66/2 = 5x - 2
⇒ 33 = 5x - 2
⇒ 5x - 2 = 33
⇒ 5x = 33 + 2
⇒ 5x = 35
⇒ x = 35/5
⇒ x = 7 ft
Now,
One side,a = 3x + 1
★ Putting the value of x
⇒ 3 × 7 + 1
⇒ 21 + 1
⇒ 22 ft
Other side,b = 2x - 3
★ Putting the value of x
⇒ 2 × 7 - 3
⇒ 14 - 3
⇒ 11 ft
Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .
Answer:
total population of school = 1000
1000 - 450 males = 550 female students
550 - 200 females not in extra curriculars = 350 females in extra curriculars
350 + 90 males in extra curriculars = 440 total in extra curriculars
Circle A = 440
Circle B - overlap = 200 females not in extra curriculars
440 + 200 = 640
1000 - 640 = 370 students represented by the portion of the Venn diagram not in either circle
Step-by-step explanation:
Answer:
5,540
Step-by-step explanation:
think you just subtract
Answer:
4 3/8 < 4 2/3 < 4 5/6 < 5 1/4
Hope it helped!
Step-by-step explanation:
Answer:
a) r₁₂ = 104.36
In general, rₙ = arⁿ⁻¹
b)
- rabbit food consumed during the 10th year is approximately 832 pounds
- rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds
Step-by-step explanation:
Given that:
r1 = 30 and a farm grows by 12%
a = 30 and the common ratio r = 1.12
now
n r
1 30.00
2 33.60
3 37.63
4 42.15
5 47.21
6 52.87
7 59.21
8 66.32
9 74.28
10 83.19
11 93.18
12 104.36
Therefore r₁₂ = 104.36
In general, rₙ = arⁿ⁻¹
b)
if each rabbit consume 10 lbs of rabbit food each year
n r food consumed(lbs)
1 30.00 300
2 33.60 336
3 37.63 376
4 42.15 422
5 47.21 472
6 52.87 529
7 59.21 592
8 66.32 663
9 74.28 743
10 83.19 832
total 5265
Therefore, the rabbit food consumed during the 10th year is approximately 832 pounds
And the rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds