Answer:
All I know for a fact is that number 10 is C
Step-by-step explanation:
The width of the pool is 10 feet.
<h3>What is area of rectangle?</h3>
The area of rectangle is product of length and breadth.
Let the width be x.
length = 24 + 2x. and breadth = 12 + 2x
We know, area= 1408 ft².
(12 + 2x)(24 + 2x) = 1408
12*24 + 12*2x + 24*2x + (2x)² = 1408
288 + 72x + 4x² = 1408
4x² + 72x + 288 - 1408 = 0
4x² + 72x - 1120 = 0
x² + 18x - 280 = 0
x² - 10x + 28x - 280 = 0
x(x - 10) + 28(x - 10) = 0
(x - 10)(x + 28) = 0
So, x=10, -28.
Hence, the width be 10 feet.
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Answer: 4/13
Step-by-step explanation:
Number of cards in a deck = 52
Number of spades = 13
Number of aces = 4
Number of ace of spade = 1
Probability of either a spade or an ace :
P(spade or ace) = P(spade U ace)
P(spade U ace) = p(spade) + p(ace) - p(spade n ace)
Probability = required outcome / Total possible outcomes
P(spade) = 13 / 52
P(ace) = 4 / 52
P(spade n ace) = 1 / 52
P(spade U ace) = p(spade) + p(ace) - p(spade n ace)
= 13/52 + 4/52 - 1/52
= 16 / 52 = 4 /13
Set the height to h, and the width to w.
We know that wh=190 and h=2w-1.
Substituting 2w-1 for h, we have:
w(2w-1)=190
So:
2w^2-w-190=0
Factoring this equation, we get (2w+19)(w-10)=0. The solutions to this equation are -9.5 and 10, but clearly the width must be positive, Substituting 10 for the width, we get 10*2-1=19 for the height.
No, 50 is not a perfect square. A perfect square is any number that can be divided by any number to get the quotient as the same number AND the quotient must be rational. When you divide 50 so that the quotient equals the divisor, you will get an irrational number. Therefore, 50 is not a perfect square.