Answer:
B. 39.59
Step-by-step explanation:
So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as 
. So let's plug in known values:
Multiply both sides by x
divide both sides by sin(43)
Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682
simplify the fraction
The great enclosure was built to have a surplus population and its religious and administrative activities. There fore the answer would be B since they are trying to protect the population and there religion
Answer:
Step-by-step explanation:
Have in mind the definition of the term 
, and now work on what the term 
is based on the previous definition:
In the next step do NOT combine the numerical values, but try to identify the 
term (
) in the expression (notice the use of square brackets to group the relevant terms):
![a_{n+1}=4\,n+4-1\\a_{n+1}=[4\,n-1]+4\\a_{n+1}=a_n+4](https://tex.z-dn.net/?f=a_%7Bn%2B1%7D%3D4%5C%2Cn%2B4-1%5C%5Ca_%7Bn%2B1%7D%3D%5B4%5C%2Cn-1%5D%2B4%5C%5Ca_%7Bn%2B1%7D%3Da_n%2B4)
So now we have the term "" defined in a recursive manner based on the previous term ""
D. 35 is the answer. Since we know that 14=2k based on the knowledge given in the first part of the equation, we can solve for K. We learn that K=7. Then, we can substitute K into the second equation: y=(7)(5) which is 35.
Answer:
2/3x+5=y
Step-by-step explanation:
We already know that this has to be linear and that its y-intercept is 5 ((0,5) is a point on the table). That means that the equation is
mx+5=y.
Now all we need to do is plug in some points.
3m+5=7
(Subtract 5 from both sides)
3m=2
m=2/3
