Answer is A, y = 65
The top angle is 50 because 180 - 130 = 50
Since the top angle is 50, the two bottom angles have to add up to 130. Since the bottom angles are the same, you can do 130 / 2 to find the angles which equals 65.
Answer:
OD) 4.9 units, 14.2 units
<em> The lengths of the legs of a right triangle</em>
<em> </em>a = 4.9units , b = 14.2units and hypotenuse 'c' = 15
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the Acute angle is 19°
And hypotenuse (AC ) = c= 15
We will take cos∝ = 
⇒ 
⇒ BC = 15 × cos 19°
⇒ BC = 15 ×0.9455
⇒ BC = 14.18
The length of the one leg of the right angle triangle
BC = b = 14.18≅ 14.2
We know that ΔABC is a right angle triangle

a² = c² - b²
= 15² - (14.18)²
= 225 - 201.07
= 23.93
a² = 23.93
a = √23.93 = 4.89≅4.9
<u><em>Final answer:-</em></u>
<em> The lengths of the legs of a right triangle</em>
<em> </em>a = 4.9units , b = 14.2units and hypotenuse 'c' = 15
Answer:
Step-by-step explanation:
Let x be a random variable representing the flight arrival time from Boston to New York.
For a uniform probability distribution, the notation is
X U(a, b) where a is the lowest value of x and b is the lowest value of x
The probability density function, f(x) = 1/(b - a)
Mean, µ = (a + b)/2
Standard deviation, σ = √(b - a)²/12
From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,
a = 0
b = 50
µ = (0 + 50)/2 = 25
σ = √(50 - 0)²/12 = 14.43
b) converting to minutes, it is 9:30 - 9:07 = 23 minutes
the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)
f(x) = 1/(50) = 0.02
P(x > 23) = (50 - 23)0.02 = 0.54
Answer:
This is true if x equals 0
Step-by-step explanation:
Answer:
9 and 3
Step-by-step explanation:
9 feet. 12 inches = 1 foot. 3 feet = 1 yard.