Answer:
Step-by-step explanation:
The given relation between length and width can be used to write an expression for area. The equation setting that equal to the given area can be solved to find the shed dimensions.
__
<h3>Given relation</h3>
Let x represent the width of the shed. Then the length is (2x+3), and the area is ...
A = LW
20 = (2x+3)(x) . . . . . area of the shed
__
<h3>Solution</h3>
Completing the square gives ...
2x² +3x +1.125 = 21.125 . . . . . . add 2(9/16) to both sides
2(x +0.75)² = 21.125 . . . . . . . write as a square
x +0.75 = √10.5625 . . . . . divide by 2, take the square root
x = -0.75 +3.25 = 2.50 . . . . . subtract 0.75, keep the positive solution
The width of the shed is 2.5 feet; the length is 2(2.5)+3 = 8 feet.
<h2>Answer:</h2>
Option: D is the correct answer.
D. x < 397.9 and x > 402.1
<h2>Step-by-step explanation:</h2>
It is given that:
Each bag is advertised as weighing 400 grams.
Also, a bag must weigh within 2.1 grams in order to be accepted.
Hence, for the bag being accepted the weight must be no less than 2.1 gram from 400 gram and should be no more than 2.1 gram from 400 grams.
i.e. the weight of the bag must be such that:
400-2.1≤ x ≤ 400+2.1
i.e.
397.9 ≤ x ≤ 402.1
Hence, if the weight of the bag is less than 397.9 grams or is more than 402.1 grams then the bag will be rejected.
i.e. The range for the bag being rejected is: x<397.9 grams and x>402.1 grams.
Answer:
The difference of two cubes is equal to the difference of their cube roots times a trinomial, which contains the squares of the cube roots and the opposite of the product of the cube roots. A number's opposite is that same number with a different sign in front.
Step-by-step explanation:
Answer
................. 60 seconds.. in a minute
Step-by-step explanation:
The amount of time of what?
Answer:
7⁷
Step-by-step explanation:
a^(1/7) = 7
a = 7⁷
