Step-by-step explanation:
Here with reference angle 45°
Hypotenuse ( h) = y
Perpendicular (p) = x
base (b) = 5√2
We know
tan 45° = p/b
1 = x / 5√2
Therefore x = 5√2
Now
h = √(5√2)^2 + 5√2)^2
= √ 50 +50
= √100
= 10
Hope it helped
20 Miles = 1 Gallon of gas
Answer:
Step-by-step explanation:
6v+4w-4
Because you do -*-6v=positive 6v then -*-4w=positive 4w and then -*4=-4 and that takes care of the parenthesis
Basically you multiply the outside number or sign by all things inside the parenthesis
So in this problem you multiplied the negative sign by all the things inside the parenthesis
1. Use the Quotient Rule: x^a/x^b = x^a - b
5^9 - 3 = 5a
2. Simplify 9 - 3 to 6
5^6 = 5^a
3. Simplify 5^6 to 15625
15625 = 5^a
4. Convert both sides to the same base
5^6 = 5^a
5. Cancel the base of 5 on both sides
6 = a
6. Switch sides
a = 6