The answer is 75.
Let's look at your problem shall we:
Odd number: It should end with the numbers 1,3,5,7, and 9.
The number is less than 100: It should be from the number 1-99
Sum of digits: 12
Multiple of 15: 15, 30, 45, 60, 75, and 90.
We can rule out 30, 60, and 90 because they are even.
1+5 = 6; 4+5=9; 7+5 = 12
You are left with 75.
Answer:
No
Step-by-step explanation:
Because, the Pythagorean Inequality Theorem states that the two smallest angles should add up to be more than the third angle.
4+6=10
11 is bigger than 10, still.
Therefore, no the triangle is not possible.
The Range of a function is the set of all values that that function can take.
Given the sine function f(x)=sinx,
This function is the function which calculates the sine of the values of x.
According to the definition of the sine of an angle x in the unit circle,

,
so the sine of an angle is always larger or equal to -1, and smaller or equal to 1.
This means that the values that the sine function takes are any values between -1 and 1, inclusive.
This determines the Range of the sine function.
So the Range of the sine function is [-1, 1]
Answer:
Step-by-step explanation:
Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.
= 10 - 2x
Water in a separate tank is filling at a rate of 4 gallons per hour.
= 10 + 4x
Equating both Equations together
10 - 2x = 10 + 4x
10 - 10 = 4x - 2x
How long until the tanks have the same amount of water?
Let the time = x
N - Nicholes money
M - Marys money
(1) N + M = 4800 ⇒ N = 4800 - M
(2) N - 800 = M - 2/5M ⇒ N - 800 = 3/5M
subtitute (1) to (2)
4800 - M - 800 = 3/5M
4000 - M = 3/5M
-M - 3/5M = -4000
-8/5M = -4000 |multiply both sides by (-5/8)
M = 2500
subtitute the value of M to (1)
N = 4800 - 2500
N = 2300
Answer: Mary had at first $2500. (Nichole: $2300).