You can find the value of the hypotenuse if you apply the Pythagorean Theorem, which is show below:
h²=a²+ b² ⇒ h=√(a² + b²)
h: hypotenuse (the opposite side of the right angle and the longest side of the triangle).
a and b: legs (the sides that form the right angle).
Then, you have:
h²=a² + b²
h²=12²+12²
h=√ ((12)² + (12)²)
h=12√2
What is the lenght of the hypotenuse?
The answer is: The length of the hypotenuse is 12√2
Answer:
3:the value of the 4 in 0.04 is the value of the 4 in 0.4 divided by 10.
Step-by-step explanation:
This is because in decimal places, we have what is called place value. In a decimal number after the decimal point, each number place is divided by an increasing power of 10. So, for example, if we have a decimal number 0.82, the place value of the 8 is 8/10 while that of the 2 is 2/10² = 2/100.
So, in the given numbers, 0.04 has a place value of 4/100 and 0.4 has a place value of 4/10. So, we can see that 4/100 = 4/10 ÷ 10 = 4/10 × 1/10.
So, the value of the 4 in 0.04 is the value of the 4 in 0.4 divided by 10.
Answer:
-5x + 0y = -11
The y terms are eliminated
Step-by-step explanation:
- 4x – 2y = -2
X - 2y = 9
We want to subtract the second equation from the first
Distribute a minus sign to all the terms in the second equation
- 4x – 2y = -2
X - 2y = 9
= (-5x + 0y = -11)
Answer:
Step-by-step explanation:
<u>Given functions:</u>
- f (x) = 2x + 2
- g (x) = 3x – 1
<u>To find:</u>
<u>Solution</u>
- (f/g)(x) = f(x)/g(x) = (2x + 2) / (3x - 1)
- (f/g)(2) = (2*2 + 2) / (3*2 - 1) = 6/5 = 1.2