<h2>
Answer: a = ¹/₂ (4 + b)</h2>
<h3>
Step-by-step explanation:</h3>
To solve for 'a' we have to make it the subject of the equation. Since there are two unknowns ('a' & 'b'), we won't get a numerical value of 'a', but an expression in terms of the second unknown 'b'.
Since 2a - b = 4 <em> [add 'b' to both sides]</em>
then 2a = 4 + b <em>[divide both sides by 2 = multiplying by ¹/₂]</em>
a = ¹/₂ (4 + b)
Answer:
A = 94.6ft^2
Step-by-step explanation:
In order to be able to find the area of a trapezoid or any quadrilateral shape we need to use the equation:
A= a+b/2h
As we know we have the number base 7.7ft, base 14.3ft, and height of 8.6ft so then we take these numbers :
7.7 + 14.3/2 x 8.6 = 94.6
1 Amberjack
Kingfish equals 2 Amberjacks
Marlin equals 2 Kingfish or 4 Amberjacks
Tarpon equals 5 AmberJacks
So:
1A plus 2A plus 4A plus 5A equals the 252.
(where A is weight of the AmberJack).
Therefore:
12A equals 252, and A is 21. (252/12 = 21)
Then:
The Amberjack is 21Ibs.
The Kingfish (twice as much as A) is 42Ibs.
The Marlin (four times A) is 84Ibs.
And the Tarpon (five times A) is 105Ibs.
To Check:
21 + 42 + 84 + 105 = 252
Answer:
Step-by-step explanation:
number of weeks=103.50/5=20.7 bi-weeks
so she needs 21 bi-weeks or 42 weeks
Answer:
length PQ = 8.9 m
Step-by-step explanation:
The picture below completes the question you asked. From the picture above RSTU is a rectangle . The two shaded square has a length of sides 8 m and 4 m respectively. The legs of the triangle is the sides of the 2 squares. Therefore, the triangle is a right angle triangle. The adjacent side is 4 m while the opposite side is 8 m.
Using Pythagoras theorem the hypotenuse of the triangle can be calculated below.
Pythagoras theorem
c² = a² + b² Therefore,
c² = 4² + 8²
c² = 16 + 64
c² = 80
square root both sides
c = √80
c = 8.94427191
c ≈ 8.9 m
length PQ = 8.9 m
