Answer:
Step-by-step explanation:
We have a certain expression and are asked to find its equivalent with the answers provided :
Remove the parenthesis around 3m^5 :
Do the exponent rule for outside and inside exponent parenthesis :
Apply addition exponent rule :
Add :
Apply the addition rule for -12 + 5 :
Apply negative exponent rule for m^-7 :
Multiply the fractions :
<u>Given</u>:
Given that ABC is a right triangle.
The length of AB is 7 units.
The measure of ∠A is 65°
We need to determine the length of AC
<u>Length of AC:</u>
The length of AC can be determined using the trigonometric ratio.
Thus, we have;
Where the value of is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.
Substituting the values, we have;
Substituting AB = 7, we have;
Multiplying both sides by 7, we get;
Rounding off to the nearest hundredth, we get;
Thus, the length of AC is 2.96 units.
