Answer:
Option (D) is correct.
Step-by-step explanation:
In a triangle BCD , with b, c, d as the sides of triangle.
Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.
Using Sine rule,

Consider the first and third ratio,

Substitute the values of d = 3 , b= 5 and ∠D=25°

Thus, Measure of angle B is 45 and 135 as sinB is positive is first and 2nd quadrant.
Thus, option (D) is correct.
Answer:
Y=77/x
Explanation:
Y varies inversely with x meaning

adding a proportionality constant gives

Now, we are told that y = 11 and x = 7; therefore, the above gives

Solving for k gives

Therefore, the function that models the inverse variation is

which is our answer!
It is the second bubble because there can only be one x per y. For example, (1,3) and (1,4) isn't a function because the x which is 1 has too many y
Answer:
11403.98133
Step-by-step explanation:
V = πr^2h = π·11^2·30 ≈ 11403.98133
Answer: f(a-2) = 2a² - 14a + 28
Step-by-step explanation:
f(x) = 2x² - 6x + 8
you can take a-2 and substitute it for each x, which would look like this:
f(a-2) = 2(a-2)² - 6(a-2) + 8
then distribute those in ( )
f(a-2) = 2a² - 8a + 8 - 6a + 12 + 8
combine like terms
f(a-2) = 2a² - 14a + 28