That looks like a translation; let's check. We have
A(-5,1), B(-3,7), A'(3,-1), B'(5,5)
If it's a translation by T(x,y) we'd have
A' = A + T
B' = B + T
so
T = A' - A = (3,-1) - (-5,1) = (8,-2)
and also
T = B' - B = (5, 5) - (-3, 7) = (8,-2)
They're the same so we've verified this transformation is a translation by (8,-2), eight right, two down.
well, let's split the hours in minutes, so since 1 hr is 60 minutes, so he can walk 2.833 miles in 60 minutes, well, 3 hrs is 3*60 = 180 minutes, then we add 15 minutes, that's 195 minutes.
if he can walk 2.833 miles in 60 minutes, how long will it be for 195 minutes?

Answer:
324 cubic inches
Step-by-step explanation:
The dimensions are now 18 x 18 x 1, since you are cutting an inch off each side.
324 cubic inches
Answer:
See the proof below
Step-by-step explanation:
For this case we need to proof the following identity:

We need to begin with the definition of tangent:

So we can replace into our formula and we got:
(1)
We have the following identities useful for this case:


If we apply the identities into our equation (1) we got:
(2)
Now we can divide the numerator and denominato from expression (2) by
and we got this:

And simplifying we got:

And this identity is satisfied for all:

Answer:
12
Step-by-step explanation:
So, the 24cm, is the diameter, a little circle autonomy here, the diameter is the length across the circle, and the radius is to the mid point, or half-way point, which means that the radius is half the diameter, so, 24 ÷ 2 = 12
hope this helps:)