Answer:1st one 2nd one and 8th
Step-by-step explanation:
Answer and Step-by-step explanation:
For 2 dice, we have 36 possibles outcomes:
D₁ = {1,2,3,4,5,6}
D₂ = {1,2,3,4,5,6}
U = ({1,1};{1,2};{1,3};...;{2,1};{2,2};...;{6,6})
This way, it's 6 for D₁ and 6 for D₂, 6.6 = 36
The possible 3 that might appear when rolling a pair of dice would be
{1,2} and {2,1}, so, 2.
The probability of rolling 3 is 2/36 = 1/18
Answer:
105.12 feets
Step-by-step explanation:
From the figure x we can identify a rectangle and a semicircle :
Area of rectangle = Length * width
Area = 8 * 10 = 80 feet²
The Area of a semicircle = 1/2πr²
Radius, r = 8 /2 = 4 feets
A = 1/2 * 3.14 * 4²
A = 3.14 * 8
A = 25.12 feet²
Area of figure = 80 + 25.12 = 105.12 feets
The given equation has no solution when K is any real number and k>12
We have given that
3x^2−4x+k=0
△=b^2−4ac=k^2−4(3)(12)=k^2−144.
<h3>What is the condition for a solution?</h3>
If Δ=0, it has 1 real solution,
Δ<0 it has no real solution,
Δ>0 it has 2 real solutions.
We get,
Δ=k^2−144 here Δ is not zero.
It is either >0 or <0
Δ<0 it has no real solution,
Therefore the given equation has no solution when K is any real number.
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9514 1404 393
Answer:
x = 15
Step-by-step explanation:
<u>Given</u>:
∠1 + ∠2 = 90°
∠1 = 45°
∠2 = 3x°
<u>Find</u>:
x
<u>Solution</u>:
Using the given values in the given equation, we have ...
45° +3x° = 90°
15 + x = 30 . . . . . . divide by 3°
x = 15 . . . . . . . . . . . subtract 15
