Answer:
From the level of high tide to low tide, it's 18 feet.
Step-by-step explanation:
To find the change in water level, we multiply the rate (3 ft / hr) by the time (6 hrs), obtaining 18 ft.
The water level changes by 18 ft.
Step-by-step explanation:
f(x)+q(x)
➜3x+5+0
➜3x+5
➜f(x)
<h3>Hence proved</h3>
Answer:
y = 5
Step-by-step explanation:
Step 1: Write equation
-(4y + 2) - (-3y - 6) = -1
Step 2: Solve for <em>y</em>
- Distribute: -4y - 2 + 3y + 6 = -1
- Combine like terms: -y + 4 = -1
- Subtract 4 on both sides: -y = -5
- Divide both sides by -1: y = 5
Step 3: Check
<em>Plug in y to verify it's a solution.</em>
-(4(5) + 2) - (-3(5) - 6) = -1
-(20 + 2) - (-15 - 6) = -1
-22 - (-21) = -1
-22 + 21 = -1
-1 = -1
Answer:
Step-by-step explanation:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Answer:
Fencing is done along KL which is (1500+520.8=2020.8 m) from the top left corner and divides the property into half.
Step-by-step explanation:
Given the figure with dimensions. we have to find the area of given figure.
Area of figure=ar(1)+ar(2)+ar(3)
Area of region 1 = ar(ANGI)+ar(AIB)
![=L\times B+\frac{1}{2}\times base\times height\\\\=[1500\times (5000-2000-1500)]+\frac{1}{2}\times (3000-1500)\times (5000-2000-1500)\\\\=3375000m^2=337.5ha](https://tex.z-dn.net/?f=%3DL%5Ctimes%20B%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height%5C%5C%5C%5C%3D%5B1500%5Ctimes%20%285000-2000-1500%29%5D%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%283000-1500%29%5Ctimes%20%285000-2000-1500%29%5C%5C%5C%5C%3D3375000m%5E2%3D337.5ha)
Area of region 2 = ar(DHBC)

Area of region 3 = ar(GFEH)

Hence, Area of figure=ar(1)+ar(2)+ar(3)=337.5ha+300ha+350ha
=987.5 ha
Now, we have to do straight-line fencing such that area become half and cost of fencing is minimum.
Let the fencing be done through x m downward from B which divides the two into equal area.
⇒ Area of upper part above fencing=Area of lower part below fencing
⇒
Hence, fencing is done along KL which is (1500+520.8=2020.8 m) from the top left corner and divides the property into half.