The window has a shape of a semi-circle (half of a circle).
We know the diameter d = 12 ft.
The area of a (complete) circle is given by the formula:
A = π × r²
The radius can be found by halving the diameter:
r = d ÷ 2
= 12 ÷ 2
= 6 ft
Therefore the area of the circle will be:
<span>A = π × r²
= 3.14 × 6</span>²
= <span>3.14 × 36
= 113.04 ft²
And the area of the semi-circle:
A = </span><span>113.04 </span>÷ 2
= 56.52 ft²
Hence, the area of the window will be 56.52 ft².
Yes
No
Yes
No
This is because in order to be addition property of equality they have to add/ subtract by the same exact amount on both sides.
Since the denominator cannot be zero, you can set 4z+1=0 to find the excluded values.
4z+1=0
4z=-1
z=-1/4
And thus, z cannot equal -1/4
<u>Answer:</u>
Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is <u>5.72cm </u>each.
<u>Step-by-step explanation:</u>
As the base of triangular prism is equilateral:
∴ Area of base = (√ 3 / 4)× (side)²
According to question:
height of prism = height (side) of base
Volume of prism = 81 cm³,
∴ Volume of prism = Area of base x height
⇒ 81 cm³ = (√ 3 / 4)× (side)² × height ∵ side = height
⇒ 81 cm³ = (√ 3 / 4)× (side)³
⇒ 81 × (4/√3) cm³ = side³
⇒ ∛(81 × (4/√3) cm = side
⇒ side = <u>5.72cm</u>
The answer is 9.42 for the ones wondernig what it was! I calculated it and took the exam and it was correct.
