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:its 30.5
Step-by-step explanation:
Answer:
(4k^2+7)(7k+6)
Step-by-step explanation:
1. group the first two terms (28k^3-24k^2). The greatest common factor is 4k^2. If you factor that out you get 4k^2(7k-6)
2.When you group the last two terms (49k-42). you can factor out a 7.
7(7k-6).
3. There is a (7k-6) in both sections so you can combine all the terms.
4k^2(7k-6) 7(7k-6) becomes (4k^2)(7k-6)
9514 1404 393
Answer:
$0.50 per pound
Step-by-step explanation:
To find cost per pound, divide cost by the corresponding number of pounds.
$3.50/(7 lb) = $0.50/lb
The unit rate for bananas is $0.50 per pound.
Answer:
I believe the answer is C
Step-by-step explanation:
I took the test
Hope this helps!!
:o)
