The series is increasing by 8 each time.
So that means the complete series is:
1, 9, 17, 25, 33, 41, 49
Add the last 5 digits:
49 + 41 + 33 + 25 + 17 = 165
Answer:
165
Answer:
a) 7/4 b) 5 c) 2
Step-by-step explanation:
Logrithmic Rule for a and b
Let a, M, N be positive real numbers.
a)
logaM - logaN = loga(M/N)
log9(7) - log9(4) = log9 (7/4)
b)
logaM + logaN = logaMN
log2 (x) + log2(9) = log2(45)
x9=45
(x9)/9 = 45/9
x = 5
c)
Change of base formula.
logb(x)=logd(b)/logd(x)
x log6(5) = log6(25) divide each term by log6(5)
x log6(5) / log6(5) = log6(25) / log6(5) Cancel common factor log6(5)
x = log6(25) / log6(5)
x = log6(5^2) / log6(5)
Expand log6(5^2) by moving 2 outside the logarithm.
x = 2log6(5) / log6(5) cancel the like term log6(5)
x = 2
Answer:



Step-by-step explanation:
Given
The attached triangle
Required
Find h, x and y
Let the base of the triangle be 15.
So, the area is:




Let the base of the triangle be 25.
So, the area is:



Substitute 

Solve for h



Considering the smallest triangle

So:


This gives:


Take square roots


Solving for y




Answer:
-6, 6
Step-by-step explanation:
I hope this helps :)
Answer:
Step-by-step explanation:
<u>The figure consist of:</u>
- 1. A rectangle with sides 10 cm and 17 cm
- 2. A quarter circle
<u>The perimeter is:</u>
- P = 1/4C + 2*10 + 17 + (17 - 8) + 8
- P = 1/4*2*3.14*8 + 54 = 66.56 cm