<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The shorter leg is </span>the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15
<span>By the Pythagorean theorem
</span><span>the longer leg = </span>√(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units
Answer:
The answer is C.
Step-by-step explanation:
You have to apply Logarithm Law,
So for this question :
Answer:
The perimeter of the square is 
Step-by-step explanation:
step 1
Find the length side of the square
we know that
The area of a square is equal to
where
b is the length side of the square
we have
substitute and solve for b
square root both sides
step 2
Find the perimeter of the square
we know that
The perimeter of the square is equal to
we have
substitute
Answer:
Step-by-step explanation:
we have
<em>Find the amount of money that each girl spent</em>
For t= 2 hours
<em>Find the amount of money that they spend together</em>
Multiply by 2 the amount of money that each girl spent
Answer:
648
Step-by-step explanation:
Running this in Python, with the code as follows,
import math
cur_numbers = [0] * 3
num = 0
for i in range(100, 1000):
cur_numbers[2] = i % 10
i = math.floor(i/10)
cur_numbers[1] = i % 10
i = math.floor(i/10)
cur_numbers[0] = i % 10
if(len(set(cur_numbers)) == 3):
num += 1
print(cur_numbers)
print(num), we get 648 as our answer.
Another way to solve this is as follows:
There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have
9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit = 648
