The value of x in the right angled triangle is 24 degrees.
<h3>Description of a right-angled triangle </h3>
A right angled triangle is a type of triangle that has 3 sides. One of its angles is equal to 90 degrees and the sum of angles is 180 degrees.
<h3>Determining the value of the third angle </h3>
180 - 32 - 90 = 58 degrees
<h3>Determining the value of x </h3>
The angle on a straight line is equal to 180. Thus; 180 = (5x + 2 + 58)
= 180 = 5x + 60
180 - 60 = 5x
120 = 5x
x = 24 degrees
To learn more about a triangle, please check: brainly.com/question/9329354
Answer:
50
Step-by-step explanation:
if im thinking right
im SOO sorrYYy if its wrong
After Alex fill's the jug, the remaining volume of water will be 4 gallons
1 gallon is equivalent to 231 cubic inches
The volume of a cylinder is given by
V = πr²h
4 x 231 = π x 4² x h
h = 181.4 inches or 15.1 feet
Answer: 0.14
Step-by-step explanation:
Given: Mean : 
In minutes , Mean : 
The exponential distribution function with parameter 
is given by :-
The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-
![P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14](https://tex.z-dn.net/?f=P%28X%5Cgeq0.5%29%3D1-P%28X%5Cleq0.5%29%5C%5C%5C%5C%3D1-%5Cint%5E%7B0.5%7D_%7B0%7D4e%5E%7B-4t%7Ddt%5C%5C%5C%5C%3D1-%5B-e%5E%7B-4t%7D%5D%5E%7B0.5%7D_%7B0%7D%5C%5C%5C%5C%3D1-%281-e%5E%7B-2%7D%29%3D1-0.86%3D0.14)
Hence, the probability of waiting more than 30 seconds = 0.14
Answer:
1 1/30 gallons, or 31/30 gallons of paint
Step-by-step explanation:
Before these fractions can be added together they have to have a common denominator. The Least Common Multiple of 2, 3, and 5 is 30, so
1/3 = 10/30 1/5 = 6/30 1/2 = 15/30
10/30 + 6/30 + 15/30 = 31/30, or 1 1/30
