In which expression is 13y a term? a- 13y/4 −2y b- 8+13y −yz c- 4+ 13yz d- 13+y

Option b is the correct choice.

Step-by-step explanation:

We are asked to find the which of our given expressions has 13y as a term.

Since we know that a term can be a signed number, a variable, or a constant multiplied by a variable or variables as 2a or 5b. In term 2a, 2 is coefficient and a is a variable.

We can see that in 13y, 13 is coefficient and y is variable.

Let us see our given choices one by one.

a.

Let can write our 1st term as:

We can see that both of our terms have y variable, but our 1st term has a coefficient 13/4 and 2nd term has a coefficient of -2. As none of these terms have 13 as a coefficient, therefore, option a is not a correct choice.

b.

We can see that 8 is a constant, while 13y and -yz are terms. Since our expression has 13y as a term, therefore, option b is the correct choice.

c.

We can see that 4 is a constant and 13yz is a term as it has variables yz.  Since our given term has two variables, therefore, option c is not a correct choice as well.

d.

We can see that 13 is a constant and y is term of our given expression. Since our expression don't have 13 as coefficient, therefore, option d is not a correct choice.

I am assuming that since the triangle is named BNO, that N is the right angle.  The math works out if N is the right angle, B is the other base angle, and N is the vertex angle.  That means that "side" BO is actually the hypotenuse.  We are looking for the base length, BN.  55 degrees is the reference angle and sinde BN is adjacent to it, so along with that side and the hypotenuse, we will be using the cos ratio.  and 15000cos(55)=x. Solving for x we get x = 8603.6 or 8604 rounded.  First choice above.