Step-by-step explanation:
when 2 shapes are similar, it means that all their angles are the same compared with each other.
and all distances (incl. side lengths) if one shape correlate to the corresponding distances in the other shadow by the same ratio or factor.
we have one side (30 m in A and 50 m in B), where we have both measures.
we see that the ratio to "go" from A to B is 30/50 = 3/5.
that means a distance in A is the same distance in B multiplied by 3/5.
and that factor is the same also for every other side.
therefore,
x = 15 m × 3/5 = 3 m × 3 = 9 m
y × 3/5 = 18 m
3y = 90 m
y = 30 m
Answer:
x=-4 is true, x=6 is not
Step-by-step explanation:
5x + 7 < 22
Plug in our X values
5(-4) + 7 < 22 ?
solve
-20 + 7 < 22
-13 < 22 ?
x=-4 is true.
Repeat steps from ^
5(6) + 7 < 22
30 + 7 < 22
37 < 22 ?
x=6 is not true.
Hope this helped
B.false
Because the number needs to be 5 or up
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.
Answer:
5⅛ (option 3) is the correct answer
