Answer:
A = 77.32
Step-by-step explanation:
Since this is a right triangle we can use trigonometric functions
sin = opposite side/ hypotenuse
sin A = 80/82
sin A =40/41
Take the inverse sin of each side
sin^-1 (sin A ) =sin ^-1 (40/41)
A =77.31961651
Rounding to the nearest hundredth
A = 77.32
From the calculation done below, the interest when the rate is 9% is $101.25.
<h3>How interest is calculated using direct variation?</h3>
Since the interest on investment varies directly as the rate of interest, the relevant direct variation formula to use to calculate investment is as follows:
i = kr ................................. (1)
Where:
i = interest amount = $45
k = investment = ?
r = interest rate = 0.04
Substituting the values into equation (1) and solving for k, we have:
45 = k0.04
k = 45 / 0.04
k = $1,125
To find the interest when the rate is 9%, we substitute k = $1,125 and r = 9% into equation (1) as follows:
i = $1,125 * 9% = $101.25
Learn more about interest here: brainly.com/question/26457073.
#SPJ1
Answer: the answer is 28
Step-by-step explanation:
(1/2(AC) * DC) / (1/2(BC) * DC) = 3/4
AC / BC = 3/4
The coordinate of C be (x, y), then
((4(1) + 3(8))/7, (4(-9) + 3(-2))/7) = ((4 + 24)/7, (-36 - 6)/7) = (28/7, -42/7) = (4, -6)
