Answer:
5 pi/12
Step-by-step explanation:
To change degrees to radians, multiply by pi/180
75* pi/180
divide the top and bottom by 15
5 pi/12
the answer is the last one.
you convert to point slope form and get
y = 4x - 5
when you graph that (along with the other equations) it is the only one that passes through the point (1,-1)
Hello :
<span>3y = x + 6 ...(1)
y – x = 3...(2)
by (2) : y = x+3...(*)
subsct in (1) :
3(x+3) = x+6
3x-x= -9+6
2x= -3
x=-3/2
subsct in (*) : y =-3/2 +3 =3/2</span>
Answer:
(x+9)^2 + (y+1)^2 = 100
Step-by-step explanation:
Since the question says diameter, we know the boundary in a circle. Therefore, we just need to find the center and radius.
The center is the midpoint of the two endpoints on a diameter.
Here, it is (-9, -1).
Therefore, the left part of the equation is (x- -9)^2 + (y - -1)^2 = (x+9)^2 + (y+1)^2.
The radius: sqrt(8^2 + 6^2) = 10
So the equation is (x+9)^2 + (y+1)^2 = 100
Hey there!
In this problem, we'll just be finding the surface area of a rectangular prism. In this example, a surface area is a sum of all the areas of each individual face. On this rectangular prism, we have 6 faces, and two of each kind. Our formula is:
SA = 2(lw + wh + lh)
Notice how it has a 2. That two is because those two variables just applies for one side, and there's two for each type of side. On this diagram, the rightmost side's area would be the width (32) times the height (49) and the product would be the area. Let's plug in our numbers:
SA = 2(41 * 32 + 32*49 + 41*49)
Multiply:
SA = 2( 1312 + 1568 + 2009) =
Add:
SA = 2(2880 + 2009)
SA = 2(4889)
SA = 9778 ft squared, or C.
Hope this helps!
