Answer: B
Step-by-step explanation:
pi is greater than all of the numbers and there is no selection for pi being greater and is 2.828 and so on which is greater than 4/3 which equals 1.333 and so on..
Jude charges $45 per hour to install a door frame and uses $16 of wood. The
2 answers:
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Answer:
The equation is true.
Step-by-step explanation:
In order to solve this problem, one must envision a right triangle. A diagram used to represent the imagined right triangle is included at the bottom of this explanation. Please note that each side is named with respect to the angle is it across from.
Right angle trigonometry is composed of a sequence of ratios that relate the sides and angles of a right triangle. These ratios are as follows,
One is given the following equation,
As per the attached reference image, one can state the following, using the right angle trigonometric ratios,
Substitute these values into the given equation. Then simplify the equation to prove the idenity,
Remember, any number over itself equals one, this holds true even for fractions with fractions in the numerator (value on top of the fraction bar) and denominator (value under the fraction bar).
<h3>Answer: 226 grams</h3>
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Explanation:
The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.
In this case, we start with 904 grams and follow this sequence:
904, 452, 226, 113, ...
Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.
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If you want to use a formula, then it would be
where,
H = half-life duration (in this case, it is 35)
A = starting amount (which is 904 in this case)
x = amount of time that has elapsed (we will plug in x = 70)
y = final amount after x units of time has elapsed
note that x and H must have the same time unit. Both are in terms of hours in this case.
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So we will plug A = 904, x = 70, H = 35 into the formula to get...
We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.