9514 1404 393
Answer:
- base: 2.18 m
- height: 7.35 m
Step-by-step explanation:
Let b represent the base of the triangle in meters. Then the height is ...
h = 3 +2b
and the area is ...
A = 1/2bh
8 = 1/2(b)(3 +2b)
16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses
2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square
2(b +3/4)^2 = 17.125
(b +3/4)^2 = 8.5625 . . . . . divide by 2
b + 0.75 = √8.5625 ≈ 2.9262
b = -0.75 +2.9262 = 2.1762
h = 3 +2b = 7.3523
The base is about 2.18 meters and the height is about 7.35 meters.
Answer:
6
Step-by-step explanation:
total no. of seats = 22 x 4 = 88
total no. of seats occupied = 19 * 4 + (22-19)*4/2 = 76 + 6 = 82
no. of empty seats = 88 -82 = 6
Answer:
80,000
Step-by-step explanation:
1/4(25%)×60,000=20,000
20,000+60,000=80,000
Answer:
The dimensions are 6 by 6
Step-by-step explanation:
Calculus answer:
2x +2y= 24
xy= A
2x=24-2y
x=12-y
(12-y)(y)= 12y- y^2
the Derivative is = 12-2y
Then set that equal to zero 0=12-2y
-12=-2y
y=6
Confirm that 6 is a maximum by using a wiggle graph
wiggle graph -∞<---inc--6---dec-->∞
6 is a maximum
plug into original equation
2x + 2(6)=24
2x+12=24
2x=12
x=6
----------------------------------------------------------------------------------------------------
y=6
x=6
<u><em>Answer:</em></u>
<u><em>The answer is 2 or 2x</em></u>
<u><em>Step-by-step explanation:</em></u>
<u><em>Hope this helps!!</em></u>
