Answer:
A. 48
Step-by-step explanation:
The ratio of the area of rectangle ABCD to rectangle EFGH = the square of the ratio of the corresponding linear measurements of both shapes
Thus:
Area of ABCD/Area of EFGH = AB²/EF²
Area of ABCD = L*W = 18*24 = 432
Area of EFGH = 6*x = 6x
AB = 18
EF = 6
Therefore:
432/6x = 18²/6²
432/6x = 324/36
72/x = 9
Cross multiply
9x = 72
x = 72/9
x = 8
Area of EFGH = 6x
Plug in the value of x
Area of EFGH = 6(8) = 48
Answer:
.
.
Step-by-step explanation:
By the Pythagorean identity, for any given angle
,
.
Given that
, solve this equation for
.
.
.
.
The tangent of an angle is equal to the ratio between the sine and cosine of that angle. In this question:
.
You solve this question by finding the maximum possible number of different combinations, then adding one extra person.
3 possible shirts * 2 possible pants for each shirt = 6 combinations of pants and shirts.
6 + 1 = 7
Therefore, the minimum is:
7 People
A. 2 • 4 = 8 + 3 = 11 (select)
B. 11 • 4 = 44 +15 = 59 (select only if the solution is 59; the answer was not included)
C. 5 • 4 = 20 + 7 = 27 (select)
D. 2 • 4 = 8 + 9 = 17 (do not select)
E. 3 • 4 = 12 (do not select)
Answer:
(0, infinity)
Step-by-step explanation:
Keep in mind that the input to the ln function can never be 0 or below. The coefficient 3 has no effect on the domain. The domain of the function shown is (0, infinity).