Answer:
<h2>Length is 17m and Breadth is also 17m</h2>
Step-by-step explanation:
The perimeter of a rectangle is expressed as 2(L+B) where;
L is the length and B is the breadth of the triangle.
P = 2(L+B)
68 = 2(L+B)
L+B = 68/2
L+B = 34
L = 34 - B ... 1
Area of the rectangle A = LB... 2
Substituting equation 1 into 2 will give;
A = (34-B)B
A = 34B-B²
To maximize the area of the triangle, dA/dB must be equal to zero i.e
dA/dB = 0
dA/dB = 34 - 2B = 0
34-2B = 0
2B = 34
Dividing both sides of the equation by 2 we will have;
B = 34/2
B = 17
Substituting B = 17 into equation 1 to get the length L
L = 34-17
L = 17m
This shows that the rectangle with maximum area is a square since L = B = 17m
The dimension of the rectangle is Length = 17m and Breadth = 17m
Answer:
502.4 in²
Step-by-step explanation:
Area of a sphere = 4 πr²
Plastic beach balls are spherical in shape.
Hence, the Area of a sphere = 4πr²
Where r = radius = 2 inches
π = 3.14
Hence, the area of one spherical ball =
4 × 3.14 × 2²
= 50.24 square Inches
For 1 spherical ball, 50.24 square inches of plastic is needed to make it.
How many square inches of plastic does the company need to make 10 beach balls?
Therefore,
1 spherical ball = 50.24 in²
10 spherical balls = x
Cross Multiply
x = 10 × 50.24 in²
x = 502.4 in²
Therefore, 502.4 square inches of plastic is needed by the company to make 10 beach balls.
Answer:
200
Step-by-step explanation:
Infiniti sells 8 different models of cars, with 5 different trim levels and 5 color choices.
Now, 8 different models of cars with 5 different trim levels have (8 × 5) = 40 choices.
Similarly, with 8 different models of cars, with 5 different trim levels and 5 color choices, there will be total (40 × 5) = 200 options one could choose. ( Answer )
Translating this word problem into an algebraic equation, we get:
3x - 2/5 = 8/5.
Let's combine the constants: adding 2/5 to both sides of this equation yields
3x = 10/5, or 3x = 2.
Solving for x: x = 2/3
