1. 9.355 × can be used to express the age of the dinosaur fossil.
Step-by-step explanation:
Step 1; To determine which value is the closest to 93,550,000 we must calculate how much the 4 options equal. If there are decimals in the number, they are moved from the decimal part of the number to the integer part with every power of 10 i.e. 2.4 × 10 = 24, 2.44 × 10² = 244.
Step 2; Now we determine how much the 4 options equal.
1. 9.355 × = 93,550,000.
2. 9 × = 90,000,000.
3. 9.36 × = 93,600,000.
4. 9.3 × = 93,000,000.
Out of the four options, option 1 equals the value of 93,550,000. So option 1 can be used to express the age with the highest precision.
Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
We can rewrite this as:
Now we can add and subtract cos^2(x)*sin^2(x) to get:
We can complete squares to get:
and we know that:
cos^2(x) + sin^2(x) = 1
then:
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
Then the simplification is: