1. Let the shorter piece be x in. long
the longer piece will be x + 13 in. long
and the two pieces add up to be 47 in., so
x + ( x + 13 ) = 47
2x = 47 - 13
2x = 34
x = 17
the longer piece is x + 13 in. long,, or 17 + 13 = 30 in. long
2. number of dimes: x
number of quarters: y
x + y = 27....(1)
10x + 25y = 405...(2)
(1)*10: 10x + 10y = 270....(3)
(2) - (3):15y = 135
y = 9
plug y = 9 into (1), you will find that x = 18
so 18 dimes, 9 quarters
9 to the 3rd power is 729
And 2 to the 5th power is 32. You multiple 9, 3 times. 9 times 9 times 9 and you multiply 2, five times. 2 times 2 times 2 times 2 times 2
Vertex (0,3)
Axis of symmetry x=0
Answer:
Ratio of their perimeters is 6:7
Step-by-step explanation:
Ratio of Area of Hexagon = 36: 49
We need to find ratio of their perimeters
The formula used to find Area of Hexagon is:
So, we can write:
So, we get a₁=6 and a₂=7
Now, finding ratio of perimeters:
The formula used is:
Ratio will be:
So, Ratio of their perimeters is 6:7
120 ft... a flat vertical line is 180 degrees, and since this is a 30,60,90 triangle, your equation is... 180-60=distance John is to the base