Answer:
33 ft²
Step-by-step explanation:
The formula for the surface area of a square pyramid is:
SA = b² + 2bs
Where b is the measure of the base and s is the slant height
Let's substitute into this equation:
SA = b² + 2bs
SA = 3² + 2(3)(4)
Solve:
SA = 3² + 2(3)(4)
Square 3:
SA = 3² + 2(3)(4)
SA = 9 + 2(3)(4)
Multiply:
SA = 9 + 2(3)(4)
SA = 9 + (6)(4)
SA = 9 + 24
Add:
SA = 9 + 24
SA = 33
Therefore, the surface area is 33 square feet.
In each table, x increases by 1. We start with x = 0 and stop with x = 3. So we will focus on the y columns of each table as those are different.
Let's move from left to right along the four tables.
For the first table, we go from y = 1 to y = 2. That's an increase of 1
Sticking with the first table, we go from y = 2 to y = 4. The increase is now 2
Since the increase is not the same, this means the table is not linear. The y increase must be constant. We can rule out choice A
Choice B can be ruled out as well. Why? Because...
the jump from y = 0 to y = 1 is +1
the jump from y = 1 to y = 3 is +2
The same problem comes up as it did with choice A
Choice C has the same problem, but the increase turns into a decrease half the time. We go from y = 0 to y = 1, then we go back to y = 0 so the "increase" is really a decrease. We can think of it as a negative increase. Regardless, this allows us to rule out choice C
Only choice D is the answer. Each time x goes up by 1, y goes up by 2. Therefore the slope is 2/1 = 2
Length = 11
Width = 9
Area we need = 126
So Area = length * width
126 = 11 * 9
Now.. this is obviously wrong.. they want us to find the correct length..
126 = L * 9
126/9 = L
L = 14
Now since they ask about how much farther you need to extend, take the final and subtract from the original
14 - 11 = 3
Answer is 3.
2 times negative 3 equals negative 6
To find radius just divide diameter by 2
So the answer will be
6 divide 2 = 3mm
