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:
Step-by-step explanation:
48 degrees
The triangles are congruent, so if angle B is between side lengths 6 and 6.2, it’s going to be the same for the other triangle
Answer:
25 minutes
Step-by-step explanation:
First you subtract the original amount on the card from the remaining amount left.
So you can get the amount of money spent on that call.
$15 - $13.50 = $1.50
Then you divide that number by how much it cost per minute.
$1.50 ÷ 6 = 0.25
Then you get your answer!
She was on the phone for 25 minutes
Answer: 17 square inches.
Step-by-step explanation: Area of a triangle is 1/2 x b x h. We can just take the area of half of the whole triangle, and double it. In this case, half of the triangle has an area of 1/2 x 3.4 x 5 = 8.5. Doubling it is the same is doing 8.5 x 2, which equals 17.
