Answer:
To round 42.052 to the nearest hundredth consider the thousandths' value of 42.052, which is 2 and less than 5. Therefore, the hundredths' value of 42.052 remains 5.
Hi there!
We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
Simply put you multiply 30 by 8.
30*8 = 240
So in total he bought 240 hot dogs.
Answer:
Area = 42 in^2
Step-by-step explanation:
here's your solution
=> divide above picture in two parts
=> rectangle and traingle
=> area of rectangle = length* width
=> area of rectangle = (5*6)in.
=> area of rectangle = 30 in^2
=> now, area of traingle = 1/2*base *height
=> area of traingle = 1/2*4*6
=> area of traingle = 12 in^2
=> area of figure = 30 in^2 + 12 in^2
=> Area = 42 in^2
hope it helps
<span>Here you go:
1) Applying (a + b)² = a² + b² + 2ab,
(cosx + cosy)² = cos²x + cos²y + 2cos(x)*cos(y) and
(sinx + siny)² = sin²x + sin²y + 2sin(x)*sin(y)
2) ==> (cosx + cosy)² + (sinx + siny)² =
= (cos²x + sin²x) + (cos²y + sin²y) + 2{cos(x)cos(y) + sin(x)sin(y)}
= 2 + 2{cos(x - y)} = 2[1 + cos(x - y)]
= 2*2cos²{(x - y)/2} [Multiple angle identity, 1 + cos(2A) = 2cos²A]
= 4*cos²{(x - y)/2} [Proved]</span>
