Answer:
Slope: 1.5
Step-by-step explanation:
We first have to find what y is equal to. That means we take 3x - 5 and divide it by 2. We get 1.5x - 2.5. Since the lines are parallel and they have the same slope and different y - intercepts, we know that the slope will be equal.
Answer:
should be 872 in^2
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE FIGURE OF THE QUESTIONS
Answer:
Option A. is correct x = 4
Step-by-step explanation:
From the given figure
The adjacent of the given right angle triangle is
8 units which is the base,
Then x units is the opposite of the right angle triangle which is the height.
The hypotenuse side also has x units
Then value of x is required,
But going by right angle triangle trigonometry
cos(x) = adjacent / hypotenuse
Where adjacent= 8 unit
cos( 60) = 8/x
1/2 = 8/x
x = 8/2
= 4unit
Hence, Option A is correct, with 4 units
Answer:
Step-by-step explanation:
Let the length of the fence = x
Let the width of the fence = y
Recall that the perimeter of a rectangle is calculated by 2(L+B) , but the farmer is using the side of the barn on one side of the rectangle , so the perimeter equation is
x + 2y = 48
Area = xy
If we substitute the perimeter equation so that the area is only in terms of y.
Area = (48 - 2y)y
Area = 48y - 2![y^{2}](https://tex.z-dn.net/?f=y%5E%7B2%7D)
Now just find the vertex of the parabola
Area = -2
+ 48y
A = -2
+ 48
Differentiate A with respect to y
= -4y + 48
equate it to zero , we have
-4y + 48 = 0
4y = 48
y = 12
Substitute y = 12 into equation 1, we have
x = 48 - 2y
x = 48 - 2(12)
x = 48 - 24
x = 24
Therefore the dimensions of the garden are 24 by 12
The maximum area is 288 square unit
3x+5x=180
8x=180
x=22.53
3x=67.5°5
5x=112.5° (the larger angle)