Answer:
25 ft^2
Step-by-step explanation:
In direct variation, if y varies directly with x, then the equation has the form
y = kx,
where k is the constant of proportionality. y is proportional to x.
Let's call the area y and the distance x.
Here, the area varies with the square of the distance, so the equation has the form
y = kx^2
Here, y is proportional to the square of x.
We can find the value of k by using the given information.
y = kx^2
When x = 20 ft, y = 16 ft^2.
16 = k(20^2)
k = 16/400
k = 1/25
The equation of the relation is:
y = (1/25)x^2
Now we use the equation we found to answer the question.
What is y (the area) when x (the distance) is 25 ft?
y = (1/25)x^2
y = (1/25)(25^2)
y = 25
Answer: 25 ft^2
Answer:
The answer is:
32 inches
Step-by-step explanation:
The reason to why is because a triangle's area is always length times height divided by 2. In this case we need to reverse the steps and multiply 160 by 2 to get 320. Then divide the area of 320 by 10 to get 32 inches to be the base length.
Hope you have a wonderful day :)
Length of the aquarium is 35 yd
Step-by-step explanation:
- Step 1: Volume of the aquarium = 210 yd³ given by Volume = length × width × height. Width = 3 yd and Height = 2 yd
Length = Volume/Width × Height
= 210/3 × 2 = 210/6
= 35 yd
Answer:
Therefore the circumference of the circle is
Step-by-step explanation:
Let the side of the square be s
and the radius of the circle be r
The perimeter of the square is = 4s
The circumference of the circle is =2πr
Given that the length of the wire is 20 cm.
According to the problem,
4s + 2πr =20
⇒2s+πr =10
The area of the circle is = πr²
The area of the square is = s²
A represent the total area of the square and circle.
A=πr²+s²
Putting the value of s
For maximum or minimum
Differentiating with respect to r
Again differentiating with respect to r
> 0
For maximum or minimum
Therefore at , A is minimum.
Therefore the circumference of the circle is
Answer:
725.95
Step-by-step explanation:
If you multiply 129.95*5. You get 649.75, but you have to add 76.20 from the delivery and you get 725.95
Hope this helps =)