Expand by multiplying out:
14-15t + 36 = 1 -20t -1,
Because of the minus before the bracket, it changes the sign inside the bracket
-15t + 20t = 1-1-14-36 Rearranging the ts on one side and the numbers on other
side.
5t = -50 Divide both sides by 5.
t = -50/5
t = -10.
Answer:

Step-by-step explanation:
We are given the trigonometric equation of:

Let u = 4x then:

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

Convert u-term back to 4x:

Divide both sides by 4:

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.
Therefore:

Answer:
x=24
Step-by-step explanation:
x=√(26)²-(10)²
x=√676-100
x=√576
x=24
Answer:
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Step-by-step explanation: