Hello :
sin(x) + cos(x) = √2(1/√2 sin(x) +1/√2 cos(x))
but : 1/√2 = cos(π/4) = sin(<span> π/4)
</span>sin(x) + cos(x) = √2( cos(π/4)sin(x) + sin( π/4) cos(x)) =√2<span>sin(x + π/4)
</span>because : cos(π/4)sin(x) + sin( π/4) cos(x)=sin(x + π/4) by identity :
sin(a+b) = sina cosb +cosa sinb
Answer:
$120
Explanation:
Data provided as per the given question below:-
Investment = $4,000
Coupon rate in percentage = 3%
The computation of yearly return is shown below:-
Yearly return = Investment × Coupon rate in percentage
= $4,000 × 3%
= $120
Therefore for computing the yearly return we simply investment with coupon rate in percentage.
Answer:
a) 1.8 
b) 3.6 
Step-by-step explanation:
Conversion and calculation of areas
The area of a rectangle is A=wh, where w is the width and h is the height. There are 3 feet in one yard
a)
We are told Kalie put 6 stickers, each one of 1/2 centimeters (0.5 cm) wide by 3/5 (0.6 cm) centimeter long. The area of one sticker is
A=(0.5)(0.6)=0.3 
Assuming there is no overlapping, the 6 stickers have a total area
6*0.3
=1.8 
b)
Each of Elana's wrapping papers measures 2/5 yards long and 1/4 yard wide. Converting them to feet we have
long=2/5*3=1.2 feet
wide=1/4*3=0.75 feet
Area of each paper=1.2 feet*0.75 feet=0.9 
Area of the entire board, assuming no overlapping and no space left uncovered=4*0.9 
Area of board=3.6 
The answer is <span>1683.
Hope this helps.</span>