Since we know that a triangle equals to 180 degrees, we should start by adding together the two known angles inside the triangle. To determine to measure of the unknown angle, be sure to use the total sum of 180 degrees. If two angles are given, add them together and then subtract from 180 degrees. If two angles are the same and unknown, subtract the known angle from 180 degrees and then divide by 2.
Answer:
210.8 (mean for Luis), 241.5 (mean for Darcy)
Step-by-step explanation:
Luis 178 + 213 + 198 + 245 + 236 + 198 + 221 + 253 + 189 + 177 = 2108
2108/10 = 210.8 (mean for Luis)
Darcy 231 + 210 + 245 + 259 + 286 + 245 + 231 + 244 + 236 + 228 = 2415
2415/10 = 241.5 (mean for Darcy)
Answer:
You would need 2.5
Step-by-step explanation:
You can use a porportion to solve.
(cross multiply and solve)
The focus is above the directrix, so the parabola opens upward—its vertical scale factor is positive (+1/12). The line of symmetry is x=-5, so the vertex form of the equation will have the factor (x -(-5))² = (x+5)². The choice that meets both these requirements is
D. f(x) = (1/12)(x + 5)² + 2
<span>The amount P as a function of t (in years) is given by
P(t) = P0 (1 + r/n)^(t n)
So if n = 4, and r = 0.02, and P0 = 1000, then
P(t) = 1000 (1 + 0.02/4)^(4 t) = 1000 (1 + 0.005)^(4 t)
At the end of the first quarter, t = 1/4, so
P(1/4) = $1000 (1.005)^(1) = $1005
At the end of the second quarter, t = 1/2 , therefore
P(1/2) = $1000 (1.005)^(2) = $1000 (1.010025) = $1010.03
At the end of the third quarter , t = 3/4, therefore
P(3/4) = $1000 (1.005)^(3) = $1000 (1.015075125) = $1015.08
At the end of the year, t = 4, therefore
P(1) = $1000 (1.005)^4 = $1000 (1.020150500625) = $1020.15
As for the second question, after the first period (quarter),
the formula becomes
P = P0 (1.005)^1 = 1.005 P0
which is choice A. </span>
