Answer:
12
Step-by-step explanation:
since tile B is a regular polygon means it is an equilateral triangle. The angle inside B would be 60.
(360 - 60)/2 = 150 (interior angle of tile A)
180 - 150 = 30 (exterior angle of tile A)
therefore number of sides = 360 /30 = 12
Answer:
Option c) y=
is correct
The value of y is 3
Step-by-step explanation:
Given equation is
To solve the given equation for y
(converting mixed fraction to normal fraction )
(taking LCM 25 )
(adding the terms )
(now convert fraction into mixed fraction )
Therefore y=
Option c) y= is correct
The value of y is 3
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Answer:
1/1024.
Step-by-step explanation:
There are 3 odd numbers in the numbers from 1 to 6. So:
Probability (one toss is odd) = 3/6 = 1/2.
So the Probability ( 10 tosses are all odd) = (1/2)^10
= 1/1024.
Answer 5x 1y 5 1
Step-by-step explanation:
