Answer:
c. 112 ft
Step-by-step explanation:
the diagonal of a rectangle creates a right-angled triangle with a length and a width of the rectangle (the diagonal is the Hypotenuse or baseline).
and this means we can use Pythagoras :
c² = a² + b²
with c being the Hypotenuse (the baseline opposite of the 90° angle).
diagonal² = 100² + 50² = 10000 + 2500 = 12500
diagonal = sqrt(12500) = 111.8033989... ft ≈ 112 ft
Answer:
the slope is 4/3
Step-by-step explanation:
your welcome :D
So with this, you'll be using a proportion to solve it. And here's what your equation will look like:
Firstly, you'll need to cross-multiply. Your equation will look like this: 
For this, all you need to do is square root, and your answer is 
, however this answer can be simplified further.
In short, your answer is 
Answer:
Option C.
Step-by-step explanation:
In this excercise we have to rest the altitude where they hiked on the second place, to the one were they departed from, in order to know how much they hiked.
So we do:
.
The correct option is option C.
P = 2(L+W) where L = Length and W = Width.A = L*WYou are given that P = 300m and A = 5000 sq.m. so plug these values into the two equations thus:300 = 2(L+W)5000 = L*WNow you have a system of equations with two unknowns.Solve equation 1a) for LL = 150-W now substitute this into equation 2a) and solve for W.5000 = (150-W)*W Simplify this.W^2-150W+5000 = 0 This quadratic equation can be solved by factoring, so...(W-100)(W-50) = 0So W = 100 or W = 50Now we need to find L and we can use equation 1b.L = 150 - W and, if W = 50m, then:L = 100m or, if W = 100m, then:L = 50m.The dimensions of the garden are: 100m by 50m
