The lengths of sides of a 30°-60°-90° triangle have the ratio 1 : √3 : 2. Multiplying these values by 5 tells you the sides have the lengths 5 : 5√3 : 10.
The length x of the middle-length side is ...
c. 5√3
Answer:
44 feet
If it takes the horse 44 feet per second, and it takes the cheetah 88 feet, the difference is 44.
So, the horse must be 44 feet ahead to be safe. Hope it helps!
A growth rate equation has a general form of:
f(x) = P (1 + r)^x
Where,
P = present value
r = rate of growth
x = number of years
If we write the given equation on that form, it would be:
f(x) = 4 (1 + 3)^x
Therefore we can see that the population’s growth rate is
300% per year. To make this formula to an equivalent of three times a year (3x),
we have to find the new r.
f(x)_3 = 4 (1 + r)^3x
To calculate this, we must take note that the expression or
value of (1 + r)^x must be constant. Therefore equate this with 4^x.
(1 + r)^3x = (4)^x
Taking the logs of both sides:
3x log (1 + r) = x log 4
Cancelling x:
3 log (1 + r) = log 4
3 (1 + r) = 4
1 + r = 4/3
r = 0.33
Therefore the new growth rate is 0.33 or 33%. (ANSWER)
And, the new correct function is:
f(x)_3 = 4 (1 + 0.33)^3x
or
f(x)_3 = 4 (1.33)^3x (ANSWER)
Answer:
376 people
Step-by-step explanation:
25% is 94
to get the there 75% divide 94 by 25% or .25 and you get 376. 25% of that is 94.
Answer:
y=2x+10
Step-by-step explanation:
Find the slope by y1-y2/x1-x2. Which gets you 2. y=2x. Graph it so it goes through those to points.
