Answer:
72 
Step-by-step explanation:
Volume for a triangular prism =
a · c · h
A = Height. C = Width. H = Length.
A = 3 yd. C = 8 yd. H = 6 yd.
V = 114 yd.
V = 114 yd ÷ 2 yd = 72
.
Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.
Answer:
It is expected that linearization beyond age 20 will be use a function whose slope is monotonously decreasing.
Step-by-step explanation:
The linearization of the data by first order polynomials may be reasonable for the set of values of age between ages from 5 to 15 years, but it is inadequate beyond, since the fourth point, located at
, in growing at a lower slope. It is expected that function will be monotonously decreasing and we need to use models alternative to first order polynomials as either second order polynomic models or exponential models.
We know that the trigonometric identity that uses the adjacent side and the hypotenuse is cosine. We can set this up as:

We need to solve for x, so let's isolate it:

So,
x = 10.2 units
I hope that this helps you.