Answer He needs to wait to get his allowance twice.
Step-by-step explanation:
The average price of a game is around 45$. If Carlos gets 25$ a week its only 2 weeks to get a game. in other words: 2x25: 45
Answer:
Step-by-step explanation:
chect attachment for step by step details. attachment 2 is the (b) part of the question.
We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°
Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2
the answer part a) is
sin(2π/3)=√3/2
Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2
the answer part b) is
cos (2π/3)=-1/2
Answer:
7 in
Step-by-step explanation:
volume of a rectangular prism = width x height x length
width x length = area of the base
the sea shell box
200 = width x length x 5
width x length = 200/5 = 40cm^2
rock box
280 = 40in^2 x height
height = 280/40 = 7 in
Answer:
Ram: 21, Hari: 12
Step-by-step explanation:
To solve the problem, we can use the following notation. We call:
= Ram's age at present
= Hari's age at present
We know that:
- Ram is 9 years older than Hari --> mathematically, this can be written as
- Three years ago, Ram was two times as old as Hari was --> mathematically, this can be written as
where (r-3) is Ram's age 3 years ago, while (h-3) is Hari's age 3 years ago
Substituting eq.(1) into eq.(2), we find:
So, Hari's age is 12; therefore, Ram's age is
