Answer: Let length = 2x + 3
Let width = x
Area = 54 ft2
length × width = Area
x(2x + 3) = 54
2x2 + 3x = 54
2x2 + 3x - 54 = 0
(2x - 9)(x + 6) = 0
x = 9/2 and x = -6
x = 4.5 and x = -6
We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:
width = 4.5 ft
length = 2(4.5) + 3 = 9 + 3 = 12 ft
Step-by-step explanation:
Answer:25.5m^3
Step-by-step explanation:
radius(r)=2.3m
π=3.14
volume of hemisphere=2/3 x π x r^3
Volume=2/3 x 3.14x(2.3)^3
Volume=2/3 x 3.14 x 2.3 x 2.3 x 2.3
volume=(2x3.14x2.3x2.3x2.3) ➗ 3
Volume=76.40876 ➗ 3
Volume=25.5
Answer:
2556 feet squared
Step-by-step explanation:
Area is calculated by multiplying length times width. 71x36=2556
1.) 28-3x-4= 2x+12+x
2.) 24-3x= 3x+12
3.)24-6x=12
4.)-6x=-12
5.)x=2
Answer:
a) <em>"K" is proportional Constant K= 0.0833</em>
<em>b) The value of b = 99.639</em>
Step-by-step explanation:
<u><em>Explanation</em></u> :-
Given 'a' is directly proportional to 'b'
a ∝ b
<em> a = k b ....(i)</em>
<em>where "K" is proportional Constant</em>
<u><em>Case(i)</em></u><em>:-</em>
<em>when a =6 and b=72</em>
<em> a = k b </em>
<em> ⇒ 6 = k (72)</em>
<em> ⇒ </em>
<em> </em>
<u><em>Case(ii)</em></u><em>:- </em>
<em> Given a = 8.3 </em>
<em> a = k b </em>
<em>⇒ 8.3 = 0.0833 ×b</em>
<em>⇒ </em>
<em></em>
<u><em>Final answer</em></u><em>:-</em>
a)<em>"K" is proportional Constant K= 0.0833</em>
<em>b) The value of b = 99.639</em>
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