Answer:
180 ft²
Step-by-step explanation:
In order to find the total area to paint, you need to find the surface area of the entire figure, which is the sum of the areas of all the sides. Since there are 5 faces to the prism, including the bottom, you will need to add the area of all five faces. The sides of the ramp are triangles with a base of 12 ft and height of 5ft. The area of a triangle is: A = 1/2bh. Since there are two triangles with the same dimensions:
12 x 5 = 60 ft²
Next, the top of the ramp is a rectangle with a length of 13 ft and width of 4 ft:
13 x 4 = 52 ft²
The bottom of the ramp is also a rectangle with length of 12 ft and width of 4 ft:
12 x 4 = 48 ft²
Lastly, the height of the ramp is 5 ft with a width of 4ft, also in the shape of a rectangle:
5 x 4 = 20 ft²
Add them all together:
20 + 48 + 52 + 60 = 180 ft²
Answer:
b = -9
Step-by-step explanation:
The function is given as :
The axis of symmetry for this function is x = 3/2
It is required to find the value of b. The axis of symmetry of a parabola is a vertical line that intercepts its vertex at its horizontal coordinate. It can be given by :
Putting x = 3/2 and a = 3 we get :
So, the value of b is -9.
Answer:
v = -5
Step-by-step explanation:
Step 1: Write out equation
-8 + 5v = -33
Step 2: Add 8 on both sides
-8 + 8 + 5v = -33 + 8
5v = -25
Step 3: Divide both sides by 5
5v/5 = -25/5
v = -5
I think it is 0.58 to the nearest tenth of an inch. hope I'm not wrong.
