Answer:
48
Step-by-step explanation:
The maximum third side length of a triangle with two sides 5 and 19 is 5+19-1=23. Therefore, the maximum perimeter of a triangle with the two side lengths given is 5+19+23=47.
The smallest whole number larger than this is 48.
Answer:
42.1558 km
Step-by-step explanation:
We know that 1 mile = 1,609 km
Then use this data as a conversion factor.
If we want to transform miles to kilometers then our conversion factor should be:

Now we must multiply the number of miles by this factori and thus we obtain the equivalent in kilometers

D is wrong. It can't have 2 angles equal to or greater than 90.
2x + 116.6 = 180
2x = 180 - 116.6
2x = 63.4
x = 63.4/2
x = 31.7 Two of this size are the only possible answers.
There are two -main- approaches to answer this problem. By using the sine identity, or applying law of sines.
We'll do the sine trig. identity, as it is the most effective.
Given an angle '

' in a right triangle, '

' is defined as the opposite side of the triangle to the given angle, over the triangle's hypotenuse.
So, for this setup:

Now, we solve for x:
So, answer is 3.4
Answer:

Step-by-step explanation:
Given



Required
Determine P
Since P divides the segment into 3:2, P is calculated using

Where



Substitute these values in the above formula:



