According to the Triangle inequality theorem, this does not work
For a triangle to be valid, the length of any two sides added together must by greater than the length than the third side.
In this example, we can see that the side with length 1 added to the side with length 2 is equal to 3inches.
3 inches is less that 4inches (the length of the 3rd side). So that triangle does not work.
--------------------------------------------------------
Answer
This triangle does not work, because the sum of the lengths of any two sides of a triangle is <u>NOT</u> greater than the length of the third side.
Answer:
$56,558.1
Step-by-step explanation:
This is a question on compound interest.
The formula to calculate the Total Amount based on compound interest is given as:
A = P( 1 + r/n) ^nt
A = Total or Final amount in the account after t years
P = Principal/ Initial amount invested=$35,000
r = Interest rate = 12%
n = compounding Frequency = daily = using 30 days in a month = 30 × 12 = 360 days
t = time in years = 4
A = $35,000( 1 + 0.12/360)^360 × 4
A = $56558.08
Approximately to the nearest cent ≈ A = $56,558.1
Therefore, Priscilla should be expecting $56,558.1 in the account after 4 years.
Answer:
4/75
Step-by-step explanation:
you will get 5 and 1/3 percent equals (5 + 1/3) / 100 which is equal to 5/100 + (1/3) / 100 which is equal to 5/100 + 1/300. place both fractions under a common denominator. you will get 5/100 + 1/300 = 15/300 + 1/300 = 16/300. simplify the fraction to get 16/300 = 8/150 = 4/75
Answer: Its cube is six times the
cube of the given number.
Step-by-step explanation:
Let's assume we have a number which is 2. The cube will be:
= 2³
= 2 × 2 × 2
= 8
Let's now assume, we double the number 2, we'll have 2 × 2 = 4. Therefore, the cube will be:
= 4³
= 4 × 4 × 4
= 64
Therefore, from the explanation above, 2 raise to power 6 is 64. This means, if a number is doubled, then its cube is six times the cube of the given number.