Answer: y=8x-3
explanation:
y=mx+b
m= slope
b= y intercept
m=8 b=-3
y=8x-3
The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.
Then according to the problem:
2x + y = P ..(1)
P is the perimeter of the rectangle.
xy = 405000 (area of the rectangle)
Plug the value of y in the equation (1) from the above equation.
P(x) = 2x + 405000/x
P'(x) = x—405000/x² = 0
x = 450 m
P''(x) > 0 hence at x = 450 the value of P(x) is minimum.
y = 405000/450
y = 900 m
P(min) = 1800 m
Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.
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x = 12 , y = 18 (12, 18) is the solution, intersection of the two lines.
Answer:
Yes!
The rate can be expressed by the ratio 3:1
For every 3 bottles, its $1
For every 6 bottles, its $2
For every 12 bottles its $4
and for every 18 bottles its $6
The juice's are equivalent because the ratio of number to bottles to dollars is equal.
Step-by-step explanation:
Using right triangle relations, we will get:
- tan(B) = 1.05
- sin(B) = 0.735
- cos(B) = 0.7
<h3>
How to find the value of the trigonometric equations?</h3>
We assume that bot triangles are equivalent, then the angle B will be the same as the angle Z.
Now remember the relations:
- tan(θ) = (opposite cathetus)/(adjacent cathetus).
- sin(θ) = (opposite cathetus)/(hypotenuse)
- cos(θ) = (adjacent cathetus)/(hypotenuse).
If we step on angle B, we have:
- opposite cathetus = 29.4
- adjacent cathetus = 28
- hypotenuse = 40.6
Replacing that, we get:
- tan(B) = 29.4/28 = 1.05
- sin(B) = 29.4/40.6 = 0.735
- cos(B) = 28/40.6 = 0.7
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