An expression is just like an equation but without the equal sign.
Answer:
x = 3.8
Step-by-step explanation:
The equation is (5 - x) / 2 = 2x - 7
Multiply both sides by 2:
5 - x = 4x - 14
Add 14 to both sides:
19 - x = 4x
Add x to both sides:
19 = 5x
Divide both sides by 5 to isolate x:
3.8 = x
Therefore, x = 3.8.
Answer:
Perimeter: 18 ft
Height: 7 ft
Base Area: 12
Surface Area: (7)*(8) + 2(47) = 150
Step-by-step explanation:
To find the perimeter add all the edges together.
5 + 5 + 8 = 18
To find the height look at the diagram. 7ft shows the height of the rectangle and thus is the height for the rest of the shape.
Base Area:
Multiply the length (8ft) of the base by the height of the base (3ft)
8 * 3 = 24
Then divide by 2 to get the total area of the triangle
24 / 2 = 12.
Surface Area:
To find the surface area you to need to find the specifics of each side.
The base area we already solved for which is 12. We'll get back to this in a minute. The other double sides are of 5 * 7. That equals 35. Add together 12 + 35 to get 47. That is what will go in the 2(___) box because both of those sides have 2. It is the same number when done this way versus just adding them up.
47 * 2 = 94
12 + 12 + 35 + 35 = 94
Then for the (___)(___) that would be 7ft * 8ft because it is the only side left and does not have a double so it must be separate.
7 * 8 = 56
56+94 = 150
The answer is 3.46 meters
You can get the answer by using the pythagorean theorem, since the ladder and the wall form a right triangle.
c^2 = a^2 + b^2
4^2 = 2^2 + b^2
16 = 4 + b^2
12 = b^2
b = sqrt(12) or 3.46 meters
