Answer:
80
Step-by-step explanation:
From the given diagram;
KN = NM
9x - 5 = 7x + 7
9x - 7x = 7 + 5
2x = 12
x = 12/2
x = 6
Since KM= 2KL
KM = 2(6x+4)
KM = 12x + 8
KM = 12(6)+8
KM = 72+8
KM = 80
Hence the length of KM is 80
Answer:
I believe its 27 hope this helps
Step-by-step explanation:
Answer:
a) 10,500 big cats
b) 13,401 big cats
c) 33 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form; 5/100= 0.05)
t= years
A = population after t years
Replacing with the values given:
a) At 2005, 1 year passed since 2004 (t=1)
A = 10,000 (1+ 0.05)^1
A = 10,500 big cats
b)
At 2010, 6 years passed since 2004 (2010-2004= 6)
A = 10,000 (1+ 0.05)^6
A = 13,401 big cats
c)
50,000 < 10,000 (1+ 0.05)^t
Solving for t:
50,000/10,000 < 1.05^t
5 < 1.05^t
log 5 < log 1.05^t
log 5 < t ( log 1.05)
log 5 / log 1.05 < t
32.9 years < t
33 years = t
Feel free to ask for more if needed or if you did not understand something.
Answer:
Nancy's age is 11years and Khaled's age is 10years
Step-by-step explanation:
Let Nancy's present age be x
Let Khaled's present age b y
3 years ago
Nancy = x - 3
Khaled = y - 3
If 3 years ago, Nancy’s age was more than Khaled’s age by 2, then;
x-3 = y-3 + 2
x - 3 = y - 1
x- y = -1+3
x - y = 2 ...1
4 years from now,
Nancy = x+4
Khaled = y+4
If by 4years from now, twice Nancy’s age will be more than Khaled’s age by 16, then;
2(x+4) = y+4 + 16
2x+8 = y+20
2x-y = 20-8
2x-y = 12 ....2
Subtract 1 from 2;
x - 2x = 1 - 12
-x = -11
x = 11
Since x - y = 1
11 - y = 1
y = 11-1
y = 10
Hence Nancy's age is 11years and Khaled's age is 10years
