According to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. If we know one angle is already 90, we do 180-90=90. The other 2 angles must add up to 90, exactly.
Making use of the following identities
sin 2x = 2 sin x cos x
cos 2x = 2 cos^2x - 1
we can write:
Equation (1) can be factorized to give, on the right hand side:
2 cos x(sin x - cos x) + 1
Answer:
1/6 of one minute, 10 seconds.
Step-by-step explanation:
8/48=1/6
Yes it is proportional for a table
Answer:
<h2>5</h2>
Step-by-step explanation:
If point T is on the line SU, then ST+TU = SU. Given TU=4x+1, SU=8, and ST=3x
Substituting the given values into the expression ST+TU = SU
8 = 3x+4x+1
8 = 7x+1
collect like terms;
7x = 8-1
7x = 7
Divide through by 7
7x/7 = 7/7
x = 1
Substitute x = 1 into the expression TU = 4x+1 to get the length of TU
TU = 4(1)+1
TU = 4+1
TU = 5
<em>Hence the length of TU is 5</em>
