Answer:
They are not similar
Step-by-step explanation:
To determine whether the prism are similar we need to calculate their volumes
Volume of a prism = Base Area * Height
Volume of the first prism = 18ft *8 * 8ft
Volume of the first prism = 1152ft^2
Volume of the second prism = 30t * 15 * 15ft
Volume of the second prism = 6,750ft^2
Since the volumes are different, the prism are not similar.
Answer:
see explanation
Step-by-step explanation:
(a)
Given
2k - 6k² + 4k³ ← factor out 2k from each term
= 2k(1 - 3k + 2k²)
To factor the quadratic
Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)
The factors are - 1 and - 2
Use these factors to split the k- term
1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )
1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term
= (1 - k)(1 - 2k)
1 - 3k + 2k² = (1 - k)(1 - 2k) and
2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)
(b)
Given
2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )
= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term
= (x - 2y)(2a + 3b)
For proportions and to find x we have to cross multiply
8 × (x) = 3 × 2.4
8x = 7.2
Divide by 8 to isolate x
8 and 8 cancels out
x = 0.9
Answer:
5.24*10³= 5.24*1000= 5240 as decimal shifts towards right
524000/10²=524000/100=5240
Step-by-step explanation:
