How many eggs did the farmer have?
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Answer:
Answer b: Sales of trench coats increased 8.3 percentage points faster than total coat sales.
Step-by-step explanation:
First add all the sales for 2006, and do the same for the 2007 sales, so we can compare both total sales numbers:
For 2006 we have:
103+297+210+213+137 = 960 total sales
For 2007 we have:
127+223+210+285+259 = 1104 total sales
The percent increase is calculated as the difference between the final value minus the original value, divided by the original value and multiplied by 100:
For the total number of coats we have that the percent increase is: %
For the trench coats (which went from 103 sales tp 127 sales) we have the following percent increase: %
Therefore, the percent increase in trench coats was larger than the percent increase in total sales by:
23.3 % - 15% = 8.3%
Answer:
∠TAC is approximately equal to 61.6°
Step-by-step explanation:
The given parameters for the pyramid are;
The dimension for the rectangular base are; Length = 9 cm, width = 7 cm
The length of the diagonal sides, TA, TB, TC, and TD = 12 cm each
The midpoint of the rectangular base = Point M
The diagonal AC = AM + MC
AM = MC as given M is the midpoint of the rectangular base
∴ AC = AM + MC = 2·AM
By Pythagoras' theorem, AC = √(9² + 7²) = √130
AC = √130 cm
∴ AM = AC/2 = (√130)/2 cm
Alternatively, AM = √((9/2 cm)² + (7/2 cm)²) = √(32.5) cm
∠TAC = ∠TAM
By trigonometric ratios, we have;