Answer:
A. the area of the large pond is 16 times the area of the small pond
Step-by-step explanation:
let's say 4 is the radius of the small circle, which means the area is 50.26548
if the large circle is 4 times the small circle, that means it's radius is 16 which means the area is 804.24772
so if you divide the big circle area by the small circle area:
804.24772/50.26548
it gives you 16.00000079577 which is rounded to 16
therefore, the bigger circle is 16 times bigger than the smaller circle
Answer
15 friends
Step-by-step explanation:
The largest common factor ( meaning the biggest number that goes into both 30 and 45) is 15. Each friend could get 2 snack bars and 3 juice boxes and there would be none left over
Answer:
B)48
Step-by-step explanation:
Cut the figure to get 2 rectangles. 9x4=36 And then 6x2=12. Add the two numbers 36+12 to get 48.
1052.64 feet
Step-by-step explanation:
Step 1:
Given,
The projectile is launched upward with a velocity of 256 feet per second
The height of the structure is 35 foot.
Step 2 :
The velocity becomes 0 at the highest point.
The equation of motion is v² = u² +2as
where
v represents the final velocity
u represents the initial velocity
a represents the acceleration due to gravity
s is the height
Step 3:
Here we have
u = 256 feet/sec
v = 0
a = -32.2 feet/sec²
Substituting in the above equation, we have
0 = 256² + 2 *(-32.2) *s
=> -64.4 s = -65536
= > s = 65536/64.4 = 1017.64 feet
Hence the projectile travels 1017.64 feet from the top of the structure. Since the height of the structure is given as 35 feet, the maximum height attained by the projectile is 1017.64 +35 = 1052.64 feet
1st let's calculate the decreasing rate & let V₁ be the initial value & V₂ the final's
we know that V₂=V₁.e^(r,t) where r=rate & t-time (& e=2.718)
After t= 2 years we can write the following formula
2350,000=240,000.e^(2r)==> 235,000/240000 = e^(2r) =>47/48=e^(2r)
ln(47/48)=2rlne==> ln(47/48)=2rlne=2r (since lne =1)
r= ln(47/48)/2==>r=-0.0210534/2 =-0.01052 ==> (r=-0.01052)
1) Determine when the value of the home will be 90% of its original value.
90% of 240000 =216,000
Now let's apply the formula
216,000=240,000,e^(-0.01052t), the unknown is t. Solving it by logarithm it will give t=10 years
1.a) Would the equation be set up like so: V=240e^.09t? NON, in any case if you solve it will find t=1 year
2)Determine the rate at which the value of the home is decreasing one year after : Already calculated above :(r=-0.01052)
3)The relative rate of change : it's r = -0.01052
