For the area of the deck to be doubled, he should increase each dimension by 3.
<h3>How to find the dimension increase to double the area?</h3>
The deck is 4 feet by 21 feet.
She wants to increase each dimension by equal lengths so that its area is doubled.
Therefore,
initial area = 4 × 21 = 84 ft²
Hence,
The increase by equal length
width = x + 4
length = x + 21
area = 2(84) = 168 ft²
Therefore,
(x + 4)(x + 21) = 168
x² + 21x + 4x + 84 = 168
x² + 25x + 84 = 168
x² + 25x + 84 - 168 = 0
x² + 25x - 84 = 0
(x + 28) • (x - 3) = 0
x = -28 or 3
It can only be positive.
Therefore, she should increase each dimension by 3.
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I’m sorry if I’m not correct but I think it’s b
Answer:
Step-by-step explanation:
-1 1 3 5 7 9 11
That's the answer. If you need a method or a formula, that's a little harder.
L = a + (n - 1)*d
a = -1
L = 11
n = 7
or n is the hard part. If you have 5 means, then you have 6 spaces. So n must be 7 in all
11 = -1 + (7 - 1)*d add 1 to both sides. Combine the brackets
11+1 = -1+1+ 6*d
12 = 6d divide by 6
12/6 = d
2 = d
What this tells you is that each term has 2 added to it to get to the next one.
Answer:
P(z > 0.6071) = 0.2719
Step-by-step explanation:
4x + y = 5
3x + y = 8
y = -3x + 8
4x +(-3x + 8) = 5
4x -3x + 8 = 5
x + 8 = 5
x = -3
y = -3(-3) + 8
y = -9 + 8
y = -1