Y= aˣ . This is the exponential function:
If x = 2, then y = 36
36 = a² → a = 6
Then the equation becomes: y = 6ˣ
Well if you Multiply 5.4 times 5 yo get 27, so your answer should be 27in
The barn, the ground, and the ladder form a right triangle. If we represent the height on the barn by y, then the Pythagorean theorem tells us
... hypotenuse² = (side1)² + (side2)²
... (12 ft)² = (3 ft)² + y² . . . . . . . . . . . . fill in given information
... 144 ft² - 9 ft² = y² = 135 ft² . . . . . .subtract (3 ft)²
... y = 3√15 ft ≈ 11.6 ft . . . . . . . . . . . take the square root
The ladder reaches 11.6 feet high on the barn.
Answer:
154.8
Step-by-step explanation:
20% is equal to 20/100= 0.20. So, 0.20 multiplied by 129 will give you 20% of 129 which is 25.8. If Alan ran 20% more then you add 25.8 to 129 which gives you an answer of 154.8.
Equation: 20/100= 0.2
0.2* 129= 25.8
25.8+129= 154.8
Alan ran 154.8 laps.
By the Pythagorean theorem, the missing side is -sqrt7. The definition of sin is side opposite over hypotenuse, so go into Q2 and make an angle and label the side opposite the angle with a 3 and the hypotenuse a 4. The other leg is -sqrt7 cuz x is negative in Q2. The cosine of an angle is the side adjacent over the hypotenuse, so the cos then is -sqrt7/4
