Answer:
The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is 
then 
Step-by-step explanation:
• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.
• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)] by excluding the margin of top and bottom from the total height.
• To find the printed area of billboard calculations are given below:
On taking the first order derivative of A
![\[A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)\]](https://tex.z-dn.net/?f=%5C%5BA%27%3D-6%2B%5Cleft%28%20%5Cfrac%7B90000%7D%7B%7B%7Bx%7D%5E%7B2%7D%7D%7D%20%5Cright%29%5C%5D)
• Hence ![\[x=10\sqrt{150}\]](https://tex.z-dn.net/?f=%5C%5Bx%3D10%5Csqrt%7B150%7D%5C%5D)
and ![\[y=\frac{900}{\sqrt{150}}\]](https://tex.z-dn.net/?f=%5C%5By%3D%5Cfrac%7B900%7D%7B%5Csqrt%7B150%7D%7D%5C%5D)
Learn More about Differentiation Here:
brainly.com/question/13012860
3/8=9/24 and 1/6=4/24
9/24+4/24=13/24
Paula spent 13/24 of her allowance on other items.
Answer:
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Step-by-step explanation:
If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it sweeps an area of 48 cm, we will follow the steps below;
area of a sector = Ф/360 × πr²
where Ф is the angle, r is the radius π is a constant
from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5
Ф =? area of the sector= 48 cm² π = 
we can now go ahead to substitute the values into the formula and solve Ф
area of a sector = Ф/360 × πr²
48 = Ф/360 × × (3.5)²
48 = Ф/360 × ×12.25
48 = 269.5Ф / 2520
multiply both-side of the equation by 2520
48×2520 = 269.5Ф
120960 = 269.5Ф
divide both-side of the equation by 269.5
448.8≈Ф
Ф = 448.8°
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Answer:
The volume of the concrete needed to make the block is 5054 ft³
Step-by-step explanation:
The question relate to the calculation of the volume of a shape
The dimensions of the block are;
The depth of the block, d = 19 ft.
The width of the block, w = 19 ft.
The length of the block, l = 14 ft.
The volume of a cube, V = Length, l × Width, w × Depth, d
Therefore, the volume, 'V' of a cubic block is given as follows;
V = l × w × d = 14 ft. × 19 ft. × 19 ft. = 5054 ft.³
The volume of the concrete needed to make the block = The volume of the block, V = 5054 ft³.
