The sine of any acute angle is equal to the cosine of its complement. The cosine of any acute angle is equal to the sine of its complement. of any acute angle equals its cofunction of the angle's complement.
A
C
B
Since m∠A = 22º is given, we know m∠B = 68º since there are 180º in the triangle. Since the measures of these acute angles of a right triangle add to 90º, we know these acute angles are complementary. ∠A is the complement of ∠B, and ∠B is the complement of ∠A.
If we write, m∠B = 90º - m∠A (or m∠A = 90º - m∠B ), and we substitute into the original observation, we have:
We are given with the equation y"+ 9 y = t^2 * e^3 t + 6 and asked to determine the general solution to this equation. we convert the equation into r^2 + 9 = 0. The solution to this equation is r = +/- 3i. This solution converted to trigonometric function is equivalent to <span>y</span>= <span>C1 </span>cos3t + <span>C2 </span>sin<span>3t. </span>
Answer:
58×.20=11.60 58.00+11.60= 69.60 your total cost is 69.60 to leave your tip on top of the bill
Step-by-step explanation:
any time you want a percentage of a number you take your number in this case 58.00 times whatever percentage in this case 20% so 58×.20 =11.60 then you take your total plus the amount you come up with for the tip 58.00+11.60=69.60
Answer:
y = 936x + 3742
Step-by-step explanation:
If it is a linear model, then we should have a slope and y-intercept with the equation representing the model as;
y = mx + c
where m is the slope and c is the y-intercept
Thus, we have for the slope;
(8422-3742)/(2015-21010) = 4680/5 = 936
So the equation will be;
y = 936x + c
To get c , we can use the years after 2010 which is 2015 in this case
8422 = 936(5) + c
c = 8422- 4680
c = 3742
So the linear model is;
y = 936x + 3742
