The surface area of the triangle is 1/2 * 6*8 so it is 24 sq units
The whole thing is 24* 7.5 so it is 180 sq units
Because angleCBD+angleBDC+angleC=180
so angleCBD+angleBDC=180-angleC=180-82=98
because BC=DC
so angleCBD=angleBDC
so 2 angleCDB=98
so angleCDB=49
so y=29
by Joy Xu,紫馨雪汐
Answer:
(a)
(b) L reaches its maximum value when θ = 0 because cos²(0) = 1
Step-by-step explanation:
Lambert's Law is given by:
(1)
(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

(2)
By entering equation (2) into equation (1) we have the equation in terms of the sine function:
(b) When θ = 0, we have:
We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...
Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.
I hope it helps you!
$187,500 is cost of house. 20%, or $37,500 is the down payment. The loan amount would be $187,500 - $37,500 = $150,000. If we assume the annual rate of the loan is 4.65% Then the monthly rate would be 4.65%/12 = 0.3875% If the loan is $150,000, the interest is 0.3875% The interst for the first month is $150,000 * 0.3875% = $581.25. You stated that their payment is $1,575. So the amount that pays off the loan is $1,575 - $581.25 = $993.75. At the end of the month, they owe $150,000 - $993.75 = $149,006.25 For the second month, the amount of the payment that goes towards intrest is $149,006.25 * 0.3875% = $577.40. and the amount that goes towards the loan is $997.60. At the end of the second month they owe $148,008.65. Regarding realized income, we recommend a monthly loan payment not to exceed 28% of the monthly income. So if a payment of $1,575 is 28% of Gross, then the math is : $1,575 = 0.28*Gross. Gross = $5,625 monthly. About $67,500 annually. About $33.75 an hour.