There are a few options we can take. One way is to use the tangent ratio to tie together the opposite and adjacent sides, and then apply the inverse tangent (aka arctangent) to get the angle itself.
Let x be the upper left acute angle, and y be the lower right acute angle.
We can say
tan(angle) = opposite/adjacent
tan(x) = 16/5
x = arctan(16/5)
x = 72.645975 approximately
x = 72.6
and also
tan(angle) = opposite/adjacent
tan(y) = 5/16
y = arctan(5/16)
y = 17.3540246
y = 17.4
Note how x+y = 72.6+17.4 = 90. The two acute angles of any right triangle are complementary, meaning they always add to 90. So if you found x, then you can compute y = 90-x without needing the tangent ratio.
Your calculator needs to be in degree mode when using the arctangent function, which is denoted as on many graphing calculators.
Answer:
n=-14
Step-by-step explanation:
A Prime Number can be divided evenly only by 1 or itself.
And it must be a whole number greater than 1.
I'm assuming the two cars start from the same point!
<span>Let's measure time t from the time when Car 2 starts. </span>
<span>Then the distances travelled by the cars up to the time of overtaking, t, must be the same. </span>
<span>And we need to measure all time in hours, so 18 mins. is 0.3 hours. </span>
<span>So, 45 x (0.3 + t) = 65 x t, so 20t = 13.5, so t = 13.5/20 = 27/40 = 40.5/60, i.e. 40 min 30 sec</span>
Answer:
No
Step-by-step explanation:
A function is a relation in which no two ordered pairs have the same first element.
A function associates each element in its domain with one and only one element in its range.