The triangle that is formed from by connecting the shadow, the tree and the endpoints of each is a right triangle. The two triangles formed (by the tree and its shadow, and by Rachel and her shadow) are similar. In similar triangles, the corresponding sides are proportional. Thus, to give the numerical answer to this item,
length of the tree/14 ft = 6 ft / 3.5 ft
length of the tree = 24 ft
Answer:
From what I can see of the problem, you CANNOT solve for the half-life of U 235 AND then solve for the length of time to determine the 20% decay.
U-235 half-life is 704,000,000 years. (Wikipedia)
The elapsed time formula = half-life * [log (Beginning Amount / ending amount) / log 2]
elapsed time = 7.04 x 10^8 * [log (100 % / 80%) / log 2]
elapsed time =7.04 x 10^8 * [log (1.25) / .30103]
elapsed time =7.04 x 10^8 * [0.096910 / .30103]
elapsed time = 7.04 x 10^8 * 0.321928047
elapsed time = 226,637,000 years
Step-by-step explanation:
Answer: 10.361
Step-by-step explanation:
After the decimal point, the decimal continues from tenths to hundredths, and to thousandths. So technically in 10.3607, the 0 would be inthe thousandths place. To round it, determine if the number next to 0 is greater than 5 or less than. If thenumber is 5 or greater than 5, the number will shift up by a digit. If it's less than, the digit remains the same. So, 0 would go up to a 1 since 7 is greater than 5.
10.3607------> 10.361
Answer:
Bottle containing cranberry juice has a greater percent of water.
Step-by-step explanation:
A 60 ounce bottle of grape juice contains 33 ounces of water.
So the percentage of water in the bottle = 
= 
= 55%
Similarly 50 ounces bottle of cranberry juice contains 30 ounces of water.
So the percentage of water in the bottle = 
= 
= 60%
Therefore, bottle containing cranberry juice has a greater percent of water.
Answer:
26
Step-by-step explanation:
The mean of a set of number is the average the set of number, it is the ratio of the total sum of the terms to the sum of terms.
The standard deviation is the variation of a set of numbers to their mean. A low standard deviation means the value are close to the mean and a high standard deviation means the values are far from the mean. The standard deviation is given as:

Given the numbers:
86, 81, 87, 82. mean = μ = 84

Sum of squared deviations = 26