The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are
sin A = 9 / 41
cos A = 40 / 41
<h3>Trigonometric ratios</h3>
Trigonometric ratios are used to solve for the sides and angles of a right angle triangle.
Therefore,
sin A = opposite / hypotenuse
cos A = adjacent / hypotenuse
tan A = opposite / adjacent
Using Pythagoras theorem, let find the hypotenuse side
c² = 40² + 9²
c = √1681
c = 41
Therefore,
sin A = 9 / 41
cos A = 40 / 41
learn more on trigonometric ratios here: brainly.com/question/24320387
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Hey there! This situation can be modeled and solved using a system of equations. We'll use 
to represent the number of boys and 
to represent the number of girls.
Since we know what equals, we can substitute it into the first equation.
Now that we know the number of girls, use the second equation to get the number of boys.
Answer:
a1 = 34, d = 6.
Step-by-step explanation:
a1 = the first term = 34.
To find d subtract: 2nd term - first term , third term - second term and so on.
d = 40 - 34 = 6.
Also 46-40 = 6
WE get the same value 6 for the other given terms.
6 is added to each term to get the next term
Answer:
f(-4) = -(-4) - 5
f(-4) = -1
Step-by-step explanation:
Answer:
Monthly Expense = $270.83
Step-by-step explanation:
The semi-annual premium is paid twice a year so,
Automobile insurance premium for whole year = 650*2
= $1300
Monthly premium will be paid 12 times a year so,
Health insurance premium for whole year = 125*12 = $1500
Annual premium is only paid once a year.
So adding all the premiums will give us the total premiums for whole year.
Total amount of premium for a year = $1300+$1500+$450
= $3250
The premium amount for whole year is $3250. To find the monthly expense, we will divide it by 12.
So monthly expense is:
= 3250/12
= $270.83 ..
