Answer:
6/45 and 20/45
Step-by-step explanation:
The least common denominator is the least common multiple (LCM) of 9 and 15.
The factors of those numbers are ...
9 = 3·3
15 = 3·5
The LCM is the product of the unique factors to their highest powers:
3·3·5 = 45
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To make 2/15 have a denominator of 45, we need to multiply by 3/3:
2/15·3/3 = 6/45
To make 4/9 have a denominator of 45, we need to multiply by 5/5:
4/9·5/5 = 20/45
The desired fraction pair is 6/45 and 20/45.
Answer:
x = 7.3
Step-by-step explanation:
When solving for missing sides using angles, use trig functions.
We have the angle 63° to use.
We are given the hypotenuse of the triangle, as well as the side adjacent to the angle, so we can use the cos function.
Cos T = (adjacent side)/(hypotenuse)
Here we know 'T' and the hypotenuse, so plug them in and solve
Cos 63° = x/16
(16)Cos 63° = x (multiply both sides by 16 to isolate 'x')
7.263847996 = x (use your calculator to solve the left side)
7.3 = x (rounded to the nearest 10th)
