Answer:
B
Step-by-step explanation:
First calculate BD using sine ratio in Δ BCD and the exact value
sin60° =
, thus
sin60° =
=
=
=
( cross- multiply )
2BD = 12
( divide both sides by 2 )
BD = 6
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Calculate AD using the tangent ratio in Δ ABD and the exact value
tan30° =
, thus
tan30° =
=
=
=
( cross- multiply )
AD = 6
( divide both sides by
)
AD = 6 → B
Answer:
The second one. The -2y should have been +2y
Step-by-step explanation:
a negative multiplied by a negative gives you a positive
----------------------------------------
Define x:
----------------------------------------
Let x be the length of the pool.
Length of the pool and its border = x + 1 + 1
Length of the pool and its border = x + 2
----------------------------------------
Given area = 361 ft², find x:
----------------------------------------
(x+2)² = 361
x+ 2 = √361
x + 2 = 19
x = 19 - 2
x = 17
----------------------------------------
Find Length of the pool:
----------------------------------------
Length of the pool = x = 17 feet
----------------------------------------
Find Area of the pool:
----------------------------------------
Area = 17 x 17
Area = 289 ft²
------------------------------------------------------------
Answer: Area of the pool = 289 ft²
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Answer:
Part 1) 
Part 2) 
L = 220 ft2 ; S = 280.5 ft2
Step-by-step explanation:
<u><em>The correct question is </em></u>
Find the lateral area and surface area of a rectangular prism. The base is a square 5.5 ft by 5.5 ft, and the height is 10 ft
Part 1) Find the lateral area
The lateral area of a rectangular prism is equal to

where
P is the perimeter of the base
h is the height of the prism
we have
---> the perimeter of a square
---> is given
substitute

Part 2) Find the surface area
The surface area of a rectangular prism is equal to

where
LA is the lateral area
B is the area of the base
we have

----> area of a square
substitute
