Answer:
The length of the diagonal support is 69 feet.
Step-by-step explanation:
Dimensions of the box: length = 6 feet
width = 5 feet
height = 8 feet
The diagonal support relates with the diagonal of the base and the height.
From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;
= 
+ 
= 
+ 
= 36 + 25
= 61
x = 
= 7.81
let the length of the diagonal support be represented by l. So that;
= +
= + 
= + 64
l = 
= 61 + 8
= 69
Thus, the length of the diagonal support is 69 feet.
Answer:
x=2
Step-by-step explanation:
Add 5 to each side.
3x-5+5=1+5
3x=6
Divide each side by 3.
Your answer would be x=2.
Answer:
it is in the form of- a, ar, ar^2,ar^3, etc
and a= 2
r= -4
Have a nice day!
Answer:
0.49
Step-by-step explanation:
We apply conditional probability to solve this question.
We have Events X and Events Y
P(X) = Probability Christine fails the course = ??? Unknown
P(Y) = Probability Christine finds a tutor
= 0.35
P(Y') = Probability Christine does not find a tutor = 1 - 0.35 = 0.75
P(X|Y) = Decrease in her probability of failing = 0.35
P(X|Y') = Probability that she will fail the course if she does not have a tutor
P(X) = P(X|Y) × P(Y) + P(X|Y') × P(Y')
P(X) = 0.35 × 0.75 + 0.65 × 0.35
P(X) = 0.2625 + 0.2275
P(X) = 0.49
The probability that Christine fails the course is 0.49
3x - 2 = 7
3x = 7 + 2
3x = 9 (divide both sides by 3 to get x)
3x/3 = 9/3
x = 3
