Answer:
Length = 208 yards
Width = 54 yards
Step-by-step explanation:
Let the length of the field be "x" yards and the width be "y" yards. Its given that the length is 8 less than quadruple(4 times) the width. So x is 8 less than 4y. We can write this in equation as:
x = 4y - 8 Equation 1
Perimeter of the field is given to be 524 yards. Since, the field is rectangular, its perimeter is calculated as:
Perimeter = 2 (Length + Width)
Using the values, we get:
2(x + y) = 524 Equation 2
Substituting the value of x from Equation 1 into Equation 2, we get:
2(4y - 8 + y) = 524
2(5y - 8) = 524
5y - 8 = 524/2
5y - 8 = 262
5y = 262 + 8
5y = 270
y = 54 yards
Substituting the value of y in Equation 1, we get:
x = 4y - 8 = 4(54) - 8 = 208 yards
Thus, the length of the playing field is 208 yards and its width is 54 yards.
Answer:
72 degrees.
Step-by-step explanation:
As it is a right angled triangle and if the smaller acute angle = x degrees then:
x + 4x + 90 = 180.
5x = 90
x = 18 degrees.
The larger acute angle = 4x = 4*18
= 72 degrees.
Answer: -7
Step-by-step explanation:
Answer:
I hope you have a great day too
Answer:
<h2>x = -8</h2><h2>y = 10</h2>
Step-by-step explanation:
Theoretically speaking, both equations need to equal 0.
Let's start with (x + 8)
x + 8 = 0
x = 0 - 8
x = -8
Then, let's go to (y - 10)
y - 10 = 0
y = 10 = 0
y = 10
So, x = -8 & y = 10
Hope that helps!
