Answer:
Step-by-step explanation:
breadth = x
length = 2x
Perimeter = 540m
2*( length + breadth ) = 540
2 *(2x + x) = 540
3x = 540/2
3x = 270
x = 270/3
x = 90 m
Breadth = 90m = 90 *100 = 9000 cm
Length = 2*90 = 180 m = 180 * 100 = 18000 cm
No.of bricks = Area of room/ area of one brick
= 9000 * 18000 / 20 * 12
= 675000 bricks
QUESTION 1
The given logarithm is
We apply the power rule of logarithms; 
We now apply the product rule of logarithm;
QUESTION 2
The given logarithm is
We apply the power rule of logarithm to get;
We apply the product to obtain;
We apply the quotient rule; 
![=\log_5(\frac{x^8 \sqrt[4]{y^3} }{z^5})](https://tex.z-dn.net/?f=%3D%5Clog_5%28%5Cfrac%7Bx%5E8%20%5Csqrt%5B4%5D%7By%5E3%7D%20%7D%7Bz%5E5%7D%29)
Answer:
See proof below
Step-by-step explanation:
show that
sinx/1+cosx=tanx/2
From LHS
sinx/1+cosx
According to half angle
sinx = 2sinx/2 cosx/2
cosx = cos²x/2 - sin²x/2
cosx = cos²x/2 - (1- cos²x/2)
cosx = 2cos²x/2 - 1
cos x + 1 = 2cos²x/2
Substitute into the expression;
sinx/1+cosx
= (2sinx/2 cosx/2)/2cos²x/2
= sinx.2/cos x/2
Since tan x = sinx/cosx
Hence sinx/2/cos x/2 = tan x/2 (RHS)
This shows that sinx/1+cosx=tanx/2
Answer:
AAS
Step-by-step explanation:
to find the first places you have to look at the ones tens and hundreds so the first place is in the ones place
I hope this helps
