The Pythagoras theorem states that
the sum of squares of the shorter sides (legs) of a right triangle equals the square of the third side.
A corollary from the same theorem helps us solve this problem:
If the sum of the squares of the shorter sides of a triangle is greater than the square of the third side, the included angle is acute. ..... (case 1)
Conversely, if the sum of the squares of the shorter sides of a triangle is less than the square of the third side, the triangle is obtuse. .....(case 2)
Here we have
6^2+10^2 = 36+100=136 <12^2=144
Therefore case 2 applies, and the triangle is obtuse.
Answer:
Which expression is equal to ? The correct answer is B.
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Answer:
Monthly household expenditures on groceries
Step-by-step explanation:
The response variable is the one for which measurements are desired and that depends on other variables.
In this case, family size, household income, and household neighborhood are independent variables, while the response variable is the monthly household expenditures on groceries.
Answer: E. The population decreased by 11% each year.
Step-by-step explanation: In A, the pollution increases at a constant rate, but in a linear way, in other words in each day, the pollution increases 10 grams; The same goes for C: ice "grows" a few milimeters each day; In D, as volume is calculated by the multiplication of π and its radius, the increase in the volume is still linear. In B, the proportionality is related to the power of the turbine not the growth or decay of it. In E, a population grows or decreases in a form of A=A₀(1±r)^t. In this case: A = A₀ (1-0.11)^t.
In conclusion, the function that better describes an exponential growth or decay is the decrease of a population.
