Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
⇔ 
and 
= 1
Substitute the values of x into 
x = 0 → 
= 1 ⇒ a = 1
x = 2 → 
= 
= 
, hence
b =
x = 4 → 
= 
= 
, hence
c =
Answer:
Step-by-step explanation:
That is not a parallelogram. It has more than four sides.
Area of the white part of the figure is 4×20 = 80 m²
If you expand the figure to include the white part, its area is 9×23 = 207 m².
Green area = 207-80 = 127 m²
1) Calculate the whole arc (complete circumference):
Circumference = 2π*radius
radius = 6 foot
=> Circumference = 2 * 3.14 * 6 foot = 37.68
2) Calculate the time to make a whole round, by making a proportion with the two ratios:
ratio 1 = x / 37.68 =
ratio 2 = 3 / 14.13
ratio 1 = ratio 2 =>
x 3s
---------- = -----------
37.68 ft 14.13 ft
=> x = 3 * 37.68 / 14.13 = 8 s
3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.
So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s
Answer: 0.785 rad / s
Answer:
175 ft
Step-by-step explanation:
From the question,
(a) ΔABC and ΔEDC are similar because all the angles in ΔABC is equal to the corresponding angles in ΔEDC.
I.e, ΔABC is equiangular to ΔEDC. (AAA).
(b) From the diagram.
for similar angle, ratio of corresponding sides are equal
100/d = 4x/7x
100/d = 4/7
where d = distance across the river
solve for d
d = (100×7)/4
d = 175 ft
Answer:
Determine if the sequence is arithmetic (Do you add, or subtract, the same amount from one term to the next?)
Find the common difference.
Step-by-step explanation:
