Adjacent angles in parallelograms are supplementary angles thus :
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>
Answer: 32 buttons
Step-by-step explanation:
Matt has 11 white buttons.
Matt has 9 fewer brown buttons than white buttons. This means he has (11 -9) = 2 brown buttons
Matt has 17 more grey buttons than brown buttons. This means that he has (2 + 17) = 19 grey buttons.
The total number of buttons that Matt has will be;
= 11 white + 2 brown + 19 grey
= 32 buttons
<span>The equation of the directrix of the conic section </span>y^2 + 16y + 4x + 4 = 0 is x = 16.
Answer:
5956 ft
Step-by-step explanation:
If we designate the points at the bases of the skyscrapers as A and B, and the top of skyscraper B as point T, then triangle ABT is a right triangle with angle B = 90° and angle A = 13.7°.
The definition of the tangent function tells us ...
tan(A) = BT/AB
Solving for AB, we find ...
AB = BT/tan(A) = (1452 ft)/tan(13.7°)
AB ≈ 5956 ft
The skyscrapers are about 5956 feet apart.
