Answer:
a=9
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2 + b^2 = c^2
a^2 +40 ^2 = 41^2
a^2 + 1600 = 1681
a^2 = 1681-1600
a^2 = 81
Take the square root of each side
sqrt(a^2) = sqrt(81)
a = 9
7.50*4=30
40*4=160
160-30=130
130\4=32.5
so each boy has left 32.5 with him
Answer:
Angenla, Elaine, Sarah, Debbie [100% Correct]
Step-by-step explanation:
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