Answer:
Ф = 19.80 °
Step-by-step explanation:
by using pythagoras theorem
h² = p² + b²
13² = 5² + b ²
b = √194
b = 13.93
now
tanФ = p/b
Ф = tan¬1( 5 / 13.93)
Ф = 19.80 °
Answer:
B. 
Step-by-step explanation:
The vertices of triangle ABC have coordinates A(5,2) B(2,4) and C(2,1).
The mapping for reflection in the x-axis is

When we reflect triangle ABC in the x-axis, we obtain
A1(5,-2) B1(2,-4) and C1(2,-1).
The mapping for 90 degrees clockwise rotation about the origin is

When we rotate the resulting triangle through 90 degrees clockwise above the origin, we obtain;
A2(-2,-5) B2(-4,-2) and C2(-1,-2).
The vertices of triangle A''B''C'' also have coordinates A''(-2,-5) B''(-4,-2) and C''(-1,-2).
Hence the rule that describes the composition of transformation that maps ABC to A''B''C'' is

The correct choice is B.
Answer:
The graph of the function opens downwards.
Step-by-step explanation:
The graph opens upward if the coefficient of x^2 is higher than 0.
But, the coefficient of x^2 (-3) is less than 0.
So the graph of the function opens downwards.
By the way, it's pi, not pie. just wanted you to know as you may lose marks in tests for spelling (but i may be wrong)
we know circumference is pi multiplied by the diameter.
the diameter is 2x the radius
we can re-arrange the first fact to get:
diameter (or 2x radius) = circumference divided by pi.
since the circumference is 24pi we can cancel off pi from the circumference (24pi) and pi.
now we have the diameter = 24
since the diameter is 2x the radius you divide both sides by 2 and get:
radius=12cm
Answer:
4x + 6y > 120
Step-by-step explanation:
i got the same question on my midterm exam.