Answer:
14
Explanation:
The given triangle is a right-angled triangle. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Now, we have:
θ = 40°
opposite = 12 m
adjacent is the distance we want to find
Substitute with the givens in the tan formula to get the distance as follows:
tan (40) = 12 / distance
distance = 12 / tan (40)
distance = 14.3 which is approximately 14 m
Hope this helps :)
Answer:
The images are;
A’ (5,2) B’ (2,1) and C’ (1,3)
Step-by-step explanation:
Firstly, we want to reflect across the x-axis
When we reflect a point (x,y) over x-axis, we get (x,-y)
So;
A ( 2,5) becomes (2,-5)
B (1,2) becomes (1,-2)
C ( 3,1) becomes (3,-1)
Then we proceed to rotate 90 degrees counterclockwise about the origin
Here we have;
(x,y) becomes (-y,x)
(2,-5) becomes (5,2)
(1,-2) becomes (2,1)
(3,-1) becomes (1,3)
Answer:
6%
Step-by-step explanation:
8056.00 - 7600.00 = 456.00 (6%)
Answer:
x=3
Step-by-step explanation:
You can solve by:
5x+7=-3x-31
adding 3x to each side:
8x+7=31
Subtract 7 from each side:
8x=24
Divide each side by 8:
x=3
That is your answer
Hope this helps!
