Answer:
3 + 2=5
5 x 6 = 15?
Step-by-step explanation:
It's a scale factor of 3. the way you find out is by counting from the center point to an edge point on the orignal. then do the same on the scales one. now divide the scaled one by the orignal and bam you get the answer
2 is subtracted from 8 which gives you 6 and 6 times 5 equals 30
Let's deconstruct the equation.
K x (1/8) = 7
You want to isolate K, so you multiply by 8 for both sides (since 8 x 1/8 = 1)
So, K = 7 x 8
K=56
Step-by-step explanation:
h = height of rectangle (should be "length", but ok)
w = width of rectangle
w = h + 97
the diagonal of the rectangle is the Hypotenuse (baseline) of a right-angled triangle with the legs being one height and one width side of the rectangle.
so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle).
diagonal² = h² + (h + 97)² = h² + h² + 2×97h + 97²
113² = 12769 = 2h² + 194h + 9409
3360 = 2h² + 194h
1680 = h² + 97h = (h + 97/2)² - 9409/4
(completing the square)
6720/4 + 9409/4 = (h + 97/2)²
16129/4 = (h + 97/2)²
127/2 = h + 97/2
30/2 = h = 15
the height is 15.0 in
