Answer:
1. C) 2/5 or 4.47 if 2/5 means 2 sqrt(5)
2. sqrt(68)
Step-by-step explanation:
1. using the pythagorean theorem
a^2 + b^2 = c^2
where a = distance AB = 4 b = BC = 2 and c = AC = ?
4^2 + 2^2 = c^2
16 + 4 = c^2
20 = c^2
take the square root of each side
sqrt(20) = c
sqrt(4) * sqrt(5) = c
2sqrt(5) = c
2. using the pythagorean theorem
a^2 + b^2 = c^2
where a = distance AC = 8 b = BC = 2 and c = AB = ?
8^2 + 2^2 = c^2
64 + 4 = c^2
68 = c^2
take the square root of each side
sqrt(68) = c
sqrt(4) * sqrt(17) = c
2sqrt(17) = c
did you forget to put the square root of B
Answer:
The growth rate is 0.6
The growth factor is 1.6
Step-by-step explanation:
Generally, the exponential equation can be written as;
y = a(1 + r)^x
Where a is the initial value of 100
r is the growth rate
So let us form equations;
160 = 100(1 + r)^1 •••••(i)
Also;
256 = 100(1 + r)^2 •••••••(ii)
Divide equation ii by i
256/160 = 1 + r
1.6 = 1 + r
r = 1.6-1
r = 0.6
If 5 in and 8 in are legs:
hypotenuse = √(5²+8²) = √89 ≈ 9.4 in.
If 5 in is the leg and 8 in is the hypotenuse:
other leg = √(8²-5²) = √39 ≈ 6.2 in.
<span>The difference between the two possible lengths of the third side =
9.4 - 6.2 = 3.2 in.</span>
First box should be: 2 bc of the second statement
second box (top right): 5 bc 12 students total, subtract from rest (u do this last)
third box: 1 bc all that’s leftover from first box
fourth box (bottom right) 5 bc of third statement
basically, for two way tables each box must apply/be applied to two topics. hope this helps
Answer:
-1/2
Step-by-step explanation:
The slope is