First simplify. Combine like terms
-6n + 3n = -3n
-3n = -18
Isolate the n, divide -3 from both sides
-3n/-3 = -18/-3
n = -18/-3
n = 6 (remember, in dividing two negative numbers, the answer will be positive).
6 is your answer
hope this helps
Answer:
42
Step-by-step explanation:
This time, you'll be doing SOH.
sin (x) = 39/59=0.66
then do sin^-1 (0.66)
x = 42 degrees (think this is correct I hope)
Answer:
1/13
Step-by-step explanation:
y is proportional to x ⇒ y = kx
Plug in (26,2) and solve for k:
2 = k·26
k = 2/26 = 1/13
The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying 
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying 
with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere 
cubic cm.
The volume of the half-sphere 
cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume 
cub cm. This is closest to the third option 385.17 cubic centimeters.
Slope=change in y/change in x
one way is t pick 2 points, (x1,y1) and (x2,y2)
the slope is (y2-y1)/(x2-x1)
pick some points
(8,4) and (8,0)
slope=(0-4)/(8-8)=-4/0=undefined
the slope is undefined
so you could say there is no solpe
answer is D
