Step-by-step explanation:
Dividing the shape into two:
The area of the rectangle is
A= 13.5*4.8= 64.8km2
the area of the triangle
A = [( 5.7-4.8) *13.5 ]/ 2= 6.075km2
Therefore the total area is
At = 64.8 + 6.075 = 70.875km2
Answer:
base=3.3=cm
Step-by-step explanation:
9.1 cm
Answer:
3/20
Step-by-step explanation:
Red = 3
Blue = 3
Green = 4
Total = 3+3+4 = 10
Pr (red) = 3/10
Pr blue) = 3/10
Pr (green) = 4/10
Where Pr = probability
You either have a head or a tail when tossing a coin
Probability of having head = 1/2
Probability of having tail = 1/2
The probability of the coin landing heads up and blue marble = Probability of head ×Pr (blue)
= 1/2 × 3/10
the probability of the coin landing heads up and blue marble = 3/20
: Let y = f(x) = x^1/3
Then dy = 1/3*x^(−2/3) dx
Since f(64) = 4.
We take x = 64 and dx = ∆x = 1
This gives dy = 1/3*(64)^(−2/3)* (1) = 1/48
∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021 <span>
</span>
Answer:
5(5k²+6)(4k-3)
Step-by-step explanation:
100k³ - 75k² + 120k - 90
Take 5 common above:
= 5(20k³ - 15k² + 24k - 18) ------- eq1
First let simplify 20k³ - 15k² + 24k - 18
= (20k³ - 15k²) + (24k - 18) ---------eq2
Factor out 6 from 24k - 18 :
6(4k-3)
Factor out 5k² from (20k³ - 15k²):
5k²(4k -3)
eq2 becomes: = 6(4k-3) + 5k²(4k -3)
Factor out common term 4k-3
(6+ 5k²)(4k -3) or (5k²+6)(4k-3)
Thus eq1 becomes:
5(5k²+6)(4k -3)
