There are 4 roses in each arrangement
Answer:
Value of ∠1 = 102°
Value of ∠1 = 72°
Step-by-step explanation:
Given:
∠ S = 42°
∠ A = 30°
Find:
Value of ∠1
Value of ∠2
Computation:
Using angle sum property;
Sum of all interior angle of a triangle = 180°
∠ S + ∠ A + ∠ 1 = 180
42 + 30 + ∠ 1 = 180
72 + ∠ 1 = 180
∠ 1 = 180 - 72
∠ 1 = 102
Value of ∠1 = 102°
∠ 1 and ∠ 2 makes a straight line
So,
∠ 1 + ∠ 2 = 180
102 + ∠ 2 = 180
∠ 2 = 180 - 102
∠ 2 = 72
Value of ∠1 = 72°
Answer:
Correct choice is A
Step-by-step explanation:
If a function has an inverse, then there is at most one x-value for each y-value.
The tangent function is periodic with period 
Hence, at each value for which 
is defined, 
for each integer n. Therefore, the function does not have an inverse. Since tangent is not a one-to-one function, the domain must be limited. From examining the graph of the tangent function, we see that in each interval of the form
where k is an integer, the tangent function assumes every value in its range. Moreover, in each such interval, each y-value is achieved exactly once. Hence, we can create an invertible function by restricting the domain tangent function to one such interval. Such interval is an interval between two consecutive vertical asymptotes 
and 
Answer:
x = +2√21 and y = +2√30
Step-by-step explanation:
The two marked sides of the smaller triangle are x and y. The third side has length equal to 14 - 8, or 6.
We can thus write two equations in x and y:
x^2 = y^2 + 6^2
and
y 6
-- = ---
8 y
Solving the first equation for y^2 yields y^2 = 36 - x^2. Solving the second equation for y^2 yields 48. Thus 36 - x^2 = 48, and
x^2 = 84. Thus, x = +√7*√4*√3, or x = +2√21.
We now find y. y^2 = 36 = x^2, which here becomes
y^2 = 36 + 4(21) = 36 + 84 = 120. Thus, y = +√4*√30, or y = +2√30.
Answer:
C. 0.314.
Step-by-step explanation:
1/2 is rational. The answer is another rational number.
The only rational number in the list is 0.314.
