Answer:
1680
Step-by-step explanation:
First do the prime factorization:
16=2x2x2x2
28=2x2x7
42=2x3x7
60=2x2x3x5
To find least common multiple (LCM), write down all prime factors of one of the number and multiply by factors from other numbers that was not in that number:
LCM=2x2x3x5x7x2x2=1680
Answer:
(4x+1)= 81
Step-by-step explanation:
4x+1= 81
4x= 81 - 1
4x= 80
x= 80/4
x= 20
Hello.
1. Understand that this requires inverse trigonometry.
2. For A, we can use sin^-1 if we want (we could use cos^-1 or tan^-1 as well because all sides are given)
Definition of sin^-1 with how it is derived
sin(theta) = O/H <—> sin^-1(O/H)
Angle A: (When calculating an angle, ensure that your calculation is in degree mode instead of radian mode.) 2ND, then QUIT on TI
sin^-1(7/25) = 16.26020471°
(round as needed)
Angle &: (also in degree mode)
All angles of a triangle add to 180°.
1. 180° - (angle B + Angle A) = Angle &
2. 180° - (90° + 16.26020471°) = 73.73979529°
(round as needed)
To quickly check: 16° + 90° + 73° = 180°, as expected for a triangle
From the picture you provided,
The angle values make sense because that triangle represents a 30-60-90 degree triangle. (Also, a good trick is to know that the smallest angle of a triangle will always have the smallest side value, and the largest angle has the largest side value.)
Unless we have an equilateral triangle!
Good luck to you!
As a fraction: 20/7
As a mixed number: 2 6/7
