905.255 round each number to the place of the underlined digit. The underline is 5

Mathematics

2 answers:

amid [387]3 years ago

5 0

Answer:

905.26 is your answer

Step-by-step explanation:

The 5 you are solving for will be underlined and bolded.

905.2<u>5</u>5

Note the place value to the right of the value you are solving for. It is a 5. Because it is a 5, round up.

905.255 rounded to the nearest hundredth is 905.26

905.26 is your answer

Hitman42 [59]3 years ago

4 0

Answer:

905.26

Step-by-step explanation:

905.255

We are rounding to the hundredths place, so we need to look at the thousandths place. That digit is also a 5. 5>= 5 so we need to round the 5 in the hundredths place up to a 6

905.255 rounds to 905.26

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Use a half-angle identity to find the exact value of sinPi/8

stellarik [79]

Answer:

sin(π/8) = (1/2)√(2-√2)

Step-by-step explanation:

Using the half-angle formula ...

$\sin{\dfrac{\theta}{2}}=\sqrt{\dfrac{1-\cos{\theta}}{2}}$

We can let θ = π/4 and simplify the result as follows:

$\sin{\dfrac{\pi}{8}}=\sqrt{\dfrac{1-\cos{(\pi/4)}}{2}}=\sqrt{\dfrac{1-\dfrac{\sqrt{2}}{2}}{2}}=\sqrt{\dfrac{2-\sqrt{2}}{4}}\\\\=\boxed{\dfrac{1}{2}\sqrt{2-\sqrt{2}}}}$