Answer:
50/96
Step-by-step explanation:
I assume the table is:
Even numbers are 2, 4, and 6. The total number of times she rolled an even number is 13 + 17 + 20 = 50.
So the probability is 50/96.
Answer:
59049 each term is the last multiplied by -3.
Answer:
there is no solution
Step-by-step explanation:
Expand.
15x+35+2x=7x+10x-4515x+35+2x=7x+10x−45
2 Simplify 15x+35+2x15x+35+2x to 17x+3517x+35.
17x+35=7x+10x-4517x+35=7x+10x−45
3 Simplify 7x+10x-457x+10x−45 to 17x-4517x−45.
17x+35=17x-4517x+35=17x−45
4 Cancel 17x17x on both sides.
35=-4535=−45
5 Since 35=-4535=−45 is false, there is no solution.
No Solution
Answer:
Step-by-step explanation:1.1c
Answer:
10r²
Step-by-step explanation:
The following data were obtained from the question:
Radius (r) = 5r
Length of arc (L) = 4r
Area of sector (A) =?
Next, we shall determine the angle θ sustained at the centre.
Recall:
Length of arc (L) = θ/360 × 2πr
With the above formula, we shall determine the angle θ sustained at the centre as follow:
Radius (r) = 5r
Length of arc (L) = 4r
Angle at the centre θ =?
L= θ/360 × 2πr
4r = θ/360 × 2π × 5r
4r = (θ × 10πr)/360
Cross multiply
θ × 10πr = 4r × 360
Divide both side by 10πr
θ = (4r × 360) /10πr
θ = 144/π
Finally, we shall determine the area of the sector as follow:
Angle at the centre θ = 144/π
Radius (r) = 5r
Area of sector (A) =?
Area of sector (A) = θ/360 × πr²
A = (144/π)/360 × π(5r)²
A = 144/360π × π × 25r²
A = 144/360 × 25r²
A = 0.4 × 25r²
A = 10r²
Therefore, the area of the sector is 10r².