Answer:
Option b.
Step-by-step explanation:
we have
Evaluate
therefore
He did not apply the power to the denominator of 3/5
9514 1404 393
Answer:
- ∠BCA = 30°
- ∠FHC = 125°
- ∠A = 45°
- ∠GBC = 75°
- arc EBC = 260°
Step-by-step explanation:
Angle BCA intercepts arc FB, so is half its measure: 60°/2 = 30°.
Angle FHC is half the sum of the angles intercepted by its chords: (60°+150°+40°)/2 = 125°.
Angle A is half the difference of the arcs it intersects: (150° -60°)/2 = 45°.
Angle GBC is half the measure of the arc it intercepts: 150°/2 = 75°.
arc EBC is the sum of arcs EF, FB, and BC: 50° +60° +150° = 260°.
Answer:
Step-by-step explanation:
D=4300x /x² + 40.
x = 1
D = 4300 / 41 = 104.88 p / mi²
x = 6
D = 25800 / 76
= 339.47 p / mi²
Population density increases as we go away from city's centre .
b )
x = 10
D=4300x /x² + 40.
D = 307.14 p/ mi²
x = 30
D = 137.23 p / mi²
Population decreases .
c )
when x is very high , density will decrease due to squared denominator whose value increases very fast .
d )
D < 200
4300x /x² + 40 < 200
4300 x < 200 x² + 8000
43 x < 2 x² + 80
2 x² - 43 x + 80 > 0
( x - 19.44 ) ( x - 2.05 ) > 0
Range x < 2.05
x > 19.44
Answer: 2.5
Step-by-step explanation:
y = rx
substitute numbers in and solve for r
if
y = 10
x = 4
then
10 = r4
r = 10/4 = 2.5
this works for all the other numbers and always gives r = 2.5