There is this specific ratio for 45-45-90 triangles where the length of the hypotenuse is radical 2 times as long as a leg. With this in mind, we can create an equation where the length of one leg is represented with the variable x.
x
= 10
divide both sides by
x = 10
/
x = 10
/2
x = 5
The length of one leg is 5
If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is
Use following formulas to determine volumes of sphere and cylinder:
wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.
Then
Answer 1: correct choice is C.
If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So
R'=2R, r'=2r, h'=2h.
Write the new fask volume:
Then
Answer 2: correct choice is D.
Answer: p = 1500
Step-by-step explanation:
Initially, there were 1200 people.
After the given interval, we know that the auditorium is 90% full (where the auditorium can hold a maximum of 3000 people)
Then after the interval, the number of people in the auditorium is equal to the 90% of 3000.
When we have a percentage X of a quantity A, the quantity of the percentage X is:
N = (X/100%)*A
In this case, the 90% of 3000 is equal to:
N = (90%/100%)*3000 = 0.9*3000 = 2700.
Then, at the beginning of the interval there were 1200 people, and at the end there were 2700.
The difference is:
p = 2700 - 1200 = 1500
This means that the number of people who entered the auditorium dirung the time interval is 1500.
Answer: 2
Step-by-step explanation:
subtract the lowest number from the highest
4-2=2
