Answer:
3 feet
Step-by-step explanation:
Let x represent the width of the deck. The deck adds to the pool dimensions on both sides, so the area of the site including pool and deck will be ...
A = (20 +2x)(50 +2x) = 1000 +140x +4x^2
The area of the pool alone is
A = (20)(50) = 1000
So, the area of the deck is the difference:
456 = (4x^2 +140x +1000) -(1000)
Dividing by 4 and subtracting 114, we have ...
x^2 +35x -114 = 0
(x -3)(x +38) = 0
Solutions to this are x = 3 and x = -38. The positive solution is the one of interest.
The deck is 3 feet wide.
First, you take 36 counters and spread them out. You then separate them into groups of 8 and any left that cannot be separated into groups of 8 are the remainders. When you do this, you will find that you are able to separate 36 into 4 groups of eight, and you will get a remainder of 4, so your answer is 4 remainder 4
3000 = p( 1 + .06/2)^(4 * 2)
<span>3000 = p(1.03)⁸ </span>
<span>p = 3000/ 1.03⁸ </span>
<span>p = 2368.2277029 </span>
<span>$2368.23 <-----</span>
The number 4,770,000 in appropriate scientific notation would be 4.770000x10^16
Step-by-step explanation:
∠4 = ∠1 & ∠2 = ∠3
360 - 2(98) = ∠2 + ∠3
∠3 = 164/2
∠3 = 82°
