Answer:
The difference between area of pyramids is 125 sq.m.
Step-by-step explanation:
Length of base = 10m
Breadth of base = 10 m
Slant height = 15 m
Area of pyramid = Area of 5 bases
Area of pyramid = 
Area of pyramid = 400 sq.m.
Now the length of base is increased to 15
Length of base = 15m
Breadth of base = 10 m
Slant height = 15 m
Area of pyramid = Area of 5 bases
Area of pyramid =
Area of new pyramid = 525 sq.m.
Difference between area of pyramids=525 sq.m. - 400 sq.,. = 125 sq.m.
Hence The difference between area of pyramids is 125 sq.m.
Part A:
Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4
The perimeter of the square is given by 4(x + 4) = 4x + 16
The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12
For the perimeters to be the same
4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2
The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.
Part B:
The area of the square is given by

The area of the rectangle is given by 2(3x + 4) = 6x + 8
For the areas to be the same

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>
Answer:
See below
Step-by-step explanation:
<u>Given:</u>
- f(x)= { 3x+1, if −9 < x ≤ −2
- f(x)= {−5, if. −2 < x ≤ 1
- f(x)= { x−6, if 1 < x < 7
<u>Combination of domain for the function is the following union:</u>
- (-9, 2]∪ (-2, 1]∪(1, 7) = (-9, 7)
<u>Group of answer choices:</u>
The domain is the depth interval (−26, 1).
- incorrect as (-26, -9) interval is not covered in given function
The domain is the depth interval (−9, 1].
The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7.
- incorrect as doesn't include x = -2 and x = 1
The domain is the time interval (−9, 7).
- This is correct as it is same with the domain set we got above.