Answer:
Therefore the required value of x,

Step-by-step explanation:
Given:
ΔBC is a Right Angle Triangle at ∠ B = 90°
As ∠ B = 90° , AC will be the Hypotenuse
AC = 10 = Hypotenuse
BC = y = Longer leg ( say )
AB = x = Shorter leg ( say )
To Find :
x = ?
Solution:
In Right Angle Triangle Δ ABC , By Pythagoras Theorem we get

Substituting the given values we get

Therefore the required value of x,

Answer: 13
Step-by-step explanation: the square root is 12.68925
so i rounded up to 13
Answer:

Step-by-step explanation:
To find the required probability,
We can split the 40 years of Eric into very small pieces of time dt. Now, If Eric dies at time t and Gary dies before Eric, the probability is :

Hence the probability that Gary dies first is given by :

Answer:
1806 seats.
Step-by-step explanation:
From the question given above, the following data were obtained:
Row 1 = 24 seats
Row 2 = 27 seats
Row 3 = 30 seats
Total roll = 28
Total number of seat =?
From the above data, we can liken the roll to be in arithmetic progress.
Also, we are asked to determine the total number of seats in the theater.
Thus the sum of the sequence can be written as:
Roll 1 + Roll 2 + Roll 3 +... + Roll 28 i.e
24 + 27 + 30 +...
Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:
First term (a) = 24
Common difference (d) = 2nd term – 1st term
Common difference (d) = 27 – 24 = 3
Number of term (n) = 28
Sum of the 28th term (S₂₈) =?
Sₙ = n/2 [2a + (n –1)d]
S₂₈ = 28/2 [2×24 + (28 –1)3]
S₂₈ = 14 [48 + 27×3]
S₂₈ = 14 [48 + 81]
S₂₈ = 14 [129]
S₂₈ = 1806
Thus, the number of seats in the theater is 1806.
Answer:
It's <u>option A. ± </u>√6<u>0</u>
Step-by-step explanation:
x^2 = 60
here ^2 will move to the other side and when it does it'll become a square root to 60.
so, x = √60
now, the answer in its simplified form would be 2√15 and -2√15.
The answer of this square root will be negative as well as positive, so, ±√60.