Answer:
32°
Step-by-step explanation:
use this formula :
Now you want to get the angle be x, so the opposite side is 28 and hypotenuse is 53. Putting in the formula we get:
Sin(x) = 28/53
Sin(x)= 0.5283018868
So to find x just do Sin^-1
x = Sin^-1 (0.5283018868)
you get 31.8907918, ok so we just want the nearest degree and if we do that we get 32˚
if you put them into your calculator you will get 32˚ as your answer
Answer:
The last graph.
Step-by-step explanation:
In the first graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 2/5 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the second graph, the darker triangle has one side that is 1/2 of the corresponding side of the other triangle, and one side that is 3/5 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the third graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 1/2 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the fourth graph, the darker triangle has one side that is 2/3 of the corresponding side of he other triangle, and another side that is 4/6=2/3 of the corresponding side of the other triangle. Since these are both right triangles, this means the other side, the hypotenuse, will have the same ratio. Since it is proportional for all sides, this is a dilation.
Answer:
one
Step-by-step explanation:
for general form : ax²+bx+c=0
delta = b²-4ac
so for this example delta is 8²-4×2×8 =0
we know if delta = 0 , we have just one real number solution
so the answer is 1
Answer:
41
Step-by-step explanation:
Given x = -2,
Substitute x into the expression.