Answer:
x = sqrt(55)
x = 7.416198487
Step-by-step explanation:
We can use the Pythagorean theorem
The base is 3 (1/2 of 6). The other leg is x and the hypotenuse is 8
a^2 + b^2 = c^2
3^2 + x^2 = 8^2
9 + x^2 = 64
Subtract 9 from each side
9-9 +x^2 = 64-9
x^2 = 56
Take the square root of each side
sqrt(x^2) = sqrt(55)
x = sqrt(55)
x = 7.416198487
The answer is D because the two angles are congruent and they must be subtracted from 180 to equal 116 degrees.
I hope this helps, God bless, and have a great day.
Brainliest is always appreciated :)
Answer:
0.9375
Step-by-step explanation:
Given the following :
Number of coin tosses = 7
Probability that number of heads obtained will be between 2 and 7 inclusive?
x = 2,3,4,5,6,7
Probability (P) = number of required outcomes / total possible outcomes
For a coin toss = 1 Head (H), 1 tail (T)
P(H) = 1 / 2
P(X) = C(7,x) * (1/2)^7
P(X) = C(7, x) / 0.5^-7
P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128
P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128
P(X) = 120 / 128
P(X) = 0.9375
