Answer:
the ramp must be lowered
Step-by-step explanation:
Use the definition of the sine function to find the height of a ramp that is 8°.
Sine = Opposite/Hypotenuse
sin(8°) = height/8
height = 8×sin(8°) = 1.11
The height Nate's dad allows is 1.11 feet. At 1.5 feet, the ramp is too high.
The ramp must be lowered.
The answer is 5b²/6c
Ok so you just have to simplify
15/18 = 5/6 (cause 3*5=15 and 3*6=18)
Then you do as the picture above says.
Multiply all numbers together
Answer:
the answer is b i tuck the text
Step-by-step explanation:
Answer:
5. 2¯⁶ or 1/2⁶
6. 2⁹
Step-by-step explanation:
5. Simplify 2⁴ ÷ 2¹⁰
The above expression can be simplified as follow:
2⁴ ÷ 2¹⁰
Recall
Aⁿ ÷ Aᵐ = Aⁿ¯ᵐ
Thus,
2⁴ ÷ 2¹⁰ = 2⁴ ¯ ¹⁰
2⁴ ÷ 2¹⁰ = 2¯⁶
Recall:
A¯ⁿ = 1/Aⁿ
Thus,
2¯⁶ = 1/2⁶
Therefore,
2⁴ ÷ 2¹⁰ = 2¯⁶ or 1/2⁶
6. Simplify 2³ × (2²)³
2³ × (2²)³ can be simplified as follow:
2³ × (2²)³
Recall
(Aⁿ)ᵐ = Aⁿ*ᵐ
Thus,
(2²)³ = 2²*³
(2²)³ = 2⁶
2³ × (2²)³ = 2³ × 2⁶
Recall
Aⁿ × Aᵐ = Aⁿ⁺ᵐ
2³ × 2⁶ = 2³⁺⁶
2³ × 2⁶ = 2⁹
Therefore,
2³ × (2²)³ = 2⁹