Answer:
24) x = 9.2
25) x = 30.8
Step-by-step explanation:
Given
See attachment for triangles
Solving (24)
To solve for x, we make use of cosine formula
i.e.
cos(40) = adjacent ÷ hypotenuse
So, we have:
cos(40) = x ÷ 12
Multiply both sides by 12
12 cos(40) = x
12 * 0.7660 = x
x = 9.2
Solving (25)
To solve for x, we make use of sine formula
i.e.
sin(25) = opposite ÷ hypotenuse
So, we have:
sin(25) = 13 ÷ x
Multiply both sides by
x sin(25) = 13
Divide by sin(25)
x = 13 ÷ sin(25)
Using a calculator
x = 30.8
Its okay bro, we all failed
The area of the trapezoid is 57.5 square inches.
If you draw out the description, you will see that your trapezoid can be divided into a rectangle that is 9 x 5 and an isosceles right triangle with a base of 5 and height of 5.
Just find the areas of both and add them together.
Rectangle:
5 x 9 = 45
Triangle:
0.5 x 5 x 5 = 12.5
45 + 12.5 = 57.5
Principal Amount = P = $1600
Interest rate = r = 6.5% = 0.065
Time in years = t = 6
Formula for compound interest is:
Using the values, we get:
Rounding of to nearest hundredth, the balance in the account after 6 years will be
$2363.17
