Answer:
D. 10
Step-by-step explanation:
Assuming that <COA is a right angle, we can say that the two given angles are complementary
complementary angles are angles that add up to 90 degrees
this means we can create this equation: 3x + 46 + 14 = 90
so subtract 46 and 14 from 90: 3x = 30
divide both sides by 3: x = 10
Yes to every single one except the 4/5
:)
Answer:54
Step-by-step explanation:
26<? Means a number greater that 26. So it has to be 54 as it is the only number that is greater than 26.
Answer: 7cm
Step-by-step explanation:
Use pythagorean theorum:
Variables:
Let the edge = A
Face diagonal (F) = 10cm
Inner diagonal (I) = sqrt(150) cm
A^2 = I^2 - F^2
A^2 = [sqrt(150)]^2 - 10^2
A^2 = 150 - 100
A^2 = 50
A = sqrt(50)
A = 7.0710678 cm
A = 7cm (to the nearest tenth)
so, length of an edge = 7cm
Answer:
Growth rate = 8% = 0.08
Initial value (Po) = $255
F(t) = Po* e^rt
F(t) = $412.09897
Step-by-step explanation:
Given that:
Initial cost = $255
Rate of increase per year (r) = 8% = 0.08
Growth rate :
Final amount = Initial amount * (1 + rate)^time
Growth rate = 8% = 0.08
Initial value (Po) = $255
Exponential model for the cost :
F(t) = Initial value * e^(rate * time)
F(t) = Po* e^rt
Value after 6 years :
F(t) = Po* e^rt
t = 6
F(t) = 255 * e^(0.08*6)
F(t) = 255 * 1.6160744
F(t) = $412.09897
