Step-by-step explanation:
Let alpha be the unknown angle. We can set up our sine law as follows:

or

Solving for alpha,

Answer:
448
Step-by-step explanation:
This is a proportion question. Keep the heights on one side of the proportion and the shadow length on the other.
height ratio shadow ratio
40 cm / x = 25 / 280 Cross multiply
25x = 40 * 280 Combine
25x = 11200 Divide by 25
x = 11200/25
x = 448 cm
The height of the corn plant is 448 cm
Answer:
7
Step-by-step explanation:
This is a 7th degree polynomial. There should be 7 roots. Note how degree of poly = number of roots.
The proportion would be the number of the sample (x) over the population size (n)
Here we have x = 59,969 and n= 461,299
P = x/n = 59969/461299
P = 0.13
Answer:
R= {7, 11, 15}
Step-by-step explanation:
Since we already know what the Domain is for f (2, 4, 6) we can use that to get the range
Since the domain is also x let's replace x for 2
y=2(2)+3= 4+3=7
One of the range is 7
Replace x for 4
y=2(4)+3= 8+3= 11
One of the other range is 11
Replace x for 6
y= 2(6)+3= 12+3= 15
The last range is 15
So the range is R= {7, 11, 15}