Answer: figures C and D.
Explanation:
The question is which two figures have the same volume. Hence, you have to calculate the volumes of each figure until you find the two with the same volume.
1) Figure A. It is a slant cone.
Dimensions:
- slant height, l = 6 cm
- height, h: 5 cm
- base area, b: 20 cm²
The volume of a slant cone is the same as the volume of a regular cone if the height and radius of both cones are the same.
Formula: V = (1/3)(base area)(height) = (1/3)b·h
Calculations:
- V = (1/3)×20cm²×5cm = 100/3 cm³
2. Figure B. It is a right cylinder
Dimensions:
- base area, b: 20 cm²
- height, h: 6 cm
Formula: V = (base area)(height) = b·h
Calculations:
- V = 20 cm²· 6cm = 120 cm³
3. Figure C. It is a slant cylinder.
Dimensions:
- base area, b: 20 cm²
- slant height, l: 6 cm
- height, h: 5 cm
The volume of a slant cylinder is the same as the volume of a regular cylinder if the height and radius of both cylinders are the same.
Formula: V = (base area)(height) = b·h
Calculations:
- V = 20cm² · 5cm = 100 cm³
4. Fiigure D. It is a rectangular pyramid.
Dimensions:
- length, l: 6cm
- base area, b: 20 cm²
- height, h: 5 cm
Formula: V = (base area) (height) = b·h
Calculations:
- V = 20 cm² · 5 cm = 100 cm³
→ Now, you have found the two figures with the same volume: figure C and figure D. ←
Answer:
f(X)=2x is the correct answer
c
All the information you need is in the quadratic trinomial ... Read from right to left:
Find factors of 49 which ADD (+) to give 14.
These will be 7
and
7 because:
7
×
7
=
49
and
7
+
7
=
14
The + sign shows that the signs in the brackets will be the SAME, the minus (-) shows that they will be negative:
(
x
−
7
)
(
x
−
7
)
=
(
x
−
7
)
2
