Answer:
Step-by-step explanation:
B=2h(a+b) #the numerator goes to the other side, the denominator then just makes it B
B/2h=a+b
2h=a+b/B
2h-a=b/B
2h-a=b(1) #factorise
So for this question, we're asked to find the quadrant in which the angle of data lies and were given to conditions were given. Sign of data is less than zero, and we're given that tangent of data is also less than zero. Now I have an acronym to remember which Trig functions air positive in each quadrant. . And in the first quadrant we have that all the trig functions are positive. In the second quadrant, we have that sign and co seeking are positive. And the third quadrant we have tangent and co tangent are positive. And in the final quadrant, Fourth Quadrant we have co sign and seeking are positive. So our first condition says the sign of data is less than zero. Of course, that means it's negative, so it cannot be quadrant one or quadrant two. It can't be those because here in Quadrant one, we have that all the trick functions air positive and the second quadrant we have that sign. If data is a positive, so we're between Squadron three and quadrant four now. The second condition says the tangent of data is also less than zero now in Quadrant three. We have that tangent of data is positive, so it cannot be quadrant three, so our r final answer is quadrant four, where co sign and seek in are positive.
Answer:
7.2 units
Step-by-step explanation:
Coordinates of city A = (0, 0)
Coordinates of city B = (6, 4)
Use the distance formula to find the distance between the two cities as follows:

Let,


Plug in the values into the formula



(nearest tenth)
There is no rectangle shown, nor ruler given to measure and attempt your work. Nevertheless, I will illustrate how to find the volume of a rectangular prism.
Step-by-step explanation:
Given a rectangular prism of sides
Length = l
Width = w
Height = h
The volume of this prism is given as
V = l × b × h.
Example, if
Length = 4cm
Width = 3cm
Height = 2cm
Volume = 4 × 3 × 2
= 24cm³.
Answer:
He should work
hours in overtime.
Step-by-step explanation:
Let x represents the number of hours of regular time and y represents the number of hours of overtime,
Since, earnings are $24 per hour for regular time and $36 per hour for overtime,
Thus, total earning = (24x + 36y) dollars,
Here, x = 40 hours and total earning = $ 1200,
By substituting the values,
1200 = 24(40) + 36y
1200 = 960 + 36y
240 = 36y
⇒ 
Hence, he should work
hours in overtime.