Answer:
y=7
Step-by-step explanation:
6/42 =1/y
y=42/6=7
Since the area of a triangle is in the form
area=0.5(base)(height)
height=base+7
let base=x
area=0.5(x)(7+x)
30=3.5x+0.5x^2
multiply the equation by 2
60=7x+x^2
subtract 60 from both sides
x^2+7x-60=0
(x-5)(x+12)=0
thus x=5 or x=-12 since we are only considering positive answers
x=-12 is rejected
so base=5 and height=5+7=12
Answer:
16/81
Step-by-step explanation:
(2/3)^4 = (2/3)*(2/3)*(2/3)*(2/3)
= 16/81
Answer:
It is A because if x=1 the y goes more than 1 but is at 1/2 and it would be 3/2
Step-by-step explanation:
Answer: the length of the rectangle is 37ft
the width of the rectangle is 6 ft
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the given rectangle is 86 feet. This means that
2(L + W) = 86
Dividing through by 2, it becomes
L + W = 43 - - - - - - - - - - - -1
Its length is 7 more than five times its width.. This means that
L = 5W + 7
Substituting L = 5W + 7 into equation 1, it becomes
5W + 7 + W = 43
6W + 7 = 43
6W = 43 - 7
6W = 36
W = 36/6
W = 6
L = 5W + 7 = 5 × 6 + 7
L = 37
