So, first, what are the two sides?
let's call then x and y
we know that 2(x+y)=12.5 (that's the distance around)
so that means that x+y=6.25 (I just divided both by 2)
now, x=4y (from "4 times as long as it is wide")
so we can substitute:
x+4x=6.25
5x=6.25
x=1.25
so one side, is 1.25 and the other will be 1.25*4=5
and for the area we multiply the two:
1.25*5=6.25 square kilometers, and this is the answer!
X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
Answer:
Step-by-step explanation:
Diameter of a model of earth (D) = 25.6 cm
Radius of a model of earth (r) = 
Earth has the shape of a sphere.
Total surface area of a sphere = 
Put 
So,
Total surface area of the model 
You do X2 + 15 and that will be your answer.
By the way, the 2 is a power and is meant to be smaller on top of the X.
Answer:
y = x - 1
Step-by-step explanation:
Since the line is parallel to y = x + 5, it will have the same slope, which is 1.
Plug in the slope and the given point into y = mx + b, and solve for b:
y = mx + b
2 = 1(3) + b
2 = 3 + b
-1 = b
Then, plug in the slope and b into the equation:
y = mx + b
y = x - 1
So, the equation is y = x - 1
