Answer:
1/48 square miles.
Step-by-step explanation:
(1/12)*(3/12) = 3/144
simplify into 1/48
Answer:
24 teaspoons of red paint would be needed.
Step-by-step explanation:
Given that the initial mixture contains 8 teaspoons of red paint and 12 teaspoons of blue paint, this mixture contains a total of 20 units of paint, of which 8 are red, that is, 8 out of 20. Therefore, the proportion of red paint is 40%, while the proportion of blue paint is 60% remaining.
Therefore, in the case of making the same mixture (with the same proportion) using 36 teaspoons of blue paint, the necessary amount of red paint is determined through the following calculation:
60 = 36
40 = X
((40 x 36) / 60) = X
1,440 = 60 = X
24 = X
Thus, 24 teaspoons of red paint would be needed.
Answer:
Step-by-step explanation:
Use the Law of Cosines:
a² = b² + c² - 2ab·cos A
Substituting the given values, we obtain:
a² = (10)² + (7)² - 2(10)(7)·cos 52°
= 100 + 49 - 140·0.6157
= 149 - 86.1926
= 62.81
Taking the square root of both sides yields:
a = 7.925, or (to the nearest degree) 8
Answer:
To transform the given expression to sum of cubes, calculate first the cube root of the terms. The cube root of the first term, 64x^6 is 4x^2 and that of the second term, 27 is 3.
Thus, the answer to this item is the second choice, (4x^2)^3 + 3^3
-Agarvated Team