Answer:
10 yards by 15 yards
Step-by-step explanation:
Let the dimensions of each plot x yards by y yards.
If three plots are placed as the y-yards side are common to them then,
The total perimeter will be (6x + 4y) = P = 120 yards {Given} ........... (1)
⇒ 3x + 2y = 60 ........... (2)
Now, the total area of the three plots will be 3xy = A = 450 sq, yards {Given} .......... (3)
⇒ .......... (4)
Now, solving equations (2) and (4) we get,
⇒ 225 + y² = 30y
⇒ y² - 30y + 225 = 0
⇒ (y - 15)² = 0
⇒ y = 15 yards.
Hence, from equation (4) we get,
x = 150/15 = 10 yards.
Therefore, the dimensions of each plot are 10 yards by 15 yards. (Answer)
The college GPA for a high school GPA of 3.1 and a college board score of 500 will be 2.801
The equation to predict college GPA is :
where x1 is high school GPA and x2 is college board score.
According to the question, here x1= 3.1 and x2= 500
So, we will plug the values of x1 and x2 into the above equation..
So, the college GPA for a high school GPA of 3.1 and a college board score of 500 is 2.801
Answer:
Therefore
and
Step-by-step explanation:
Remember that if
= Identity Matrix
then .
Also remember that for any invertible matrix
Identity Matrix.
Therefore
Therefore
and
the length of the side of this square is cm
Answer:
Solutions Given:
let diagonal of square be AC: 8 cm
let each side be a.
As diagonal bisect square.
let it forms right angled triangle ABC .
Where diagonal AC is hypotenuse and a is their opposite side and base.
By using Pythagoras law
hypotenuse ²=opposite side²+base side²
8²=a²+a²
64=2a²
a²=
a²=32
doing square root on both side
a=±
a=±2*2
Since side of square is always positive so
a=4 or 5.65 cm
