Try this solution (note, this is not the shortest way):
1. if the given length is 'l' and the width is 'w', then according to the condition 4*l=w;
2. according to the condition the perimeter is 30 ft. Formula of the perimeter is P=2(l+w), then 2(l+w)=30;
3. if to substitute '4*l' instead of 'w', the formula of the perimeter (from item no. 2) will be as 2(4*l+l)=30 or 10*l=30 ⇒ l=3 ft. The length is 3 ft.!
4. if l=3 ft., then w=4*3=12 ft. The width is 12 ft.!
5. Area is
A=w*l; A=12*3=<u>36 ft²</u>
Rime factorization of 2001:
By prime factorization of 2001 we follow 5 simple steps:
1. We write number 2001 above a 2-column table
2. We divide 2001 by the smallest possible prime factor
3. We write down on the left side of the table the prime factor and next number to factorize on the ride side
4. We continue to factor in this fashion (we deal with odd numbers by trying small prime factors)
5. We continue until we reach 1 on the ride side of the table
<span>2001<span>prime factorsnumber to factorize</span><span>3667</span><span>2329</span><span>291</span></span>
<span>Prime factorization of 2001 = 1×3×23×29= </span><span>1 × 3 × 23 × 29</span>
SO YOU HAVE X(-14X+9). ALL YOU DO IS THE DISTRIBUTION PROPERY OR MULIPLE BY X
SO WE GET -14X^2+9X.
X(-14X+9)= -14X(*)X+9(*)X= -14X^2+9X
HOPE THIS HELPS
Answer:
20
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
21^2 + b^2 = 29^2
441 + b^2 = 841
Subtract 441 on both sides to get b^2 = 400
Take the square root of both sides to get b = 20
Answer:
121.9
Step-by-step explanation:
I will use pi but not in the answer
use formula V=πr²h
(π)(3.5²)(5.5)
12.25 × 5.5=67.375 × π=211.6648...
1/2(4/3(π(3.5³))
4/3(42.875)=57.166...× π = 179.59438...
1/2(179.59438...) = 89.79719...
211.6648... - 89.79719... = 121.86761... ≈ 121.9
