Answer:

Step-by-step explanation:
As given in figure 1 below:
FK = a, m∠F = 45° and m∠L = 30°
Construction: Draw an altitude KE from point K on FL.
Now, In ΔFEK,
FE = EK (Sides opposite to equal angles of a triangle)
Let FE = EK = x
Now, using pythagoras In ΔFEK,



∴ FE = EK = 
Now in ΔEKL, EK = 
Using trigonometry ratio,
TanФ = Altitude\ Base

Tan 30° = 


Now FL = FE + EL
FE =
and 
∴ 
A . Regroup the 2 in the tens column
Answer:
Option A
Step-by-step explanation:
From the graph attached,
Distance of point A of rectangle ABCD = 5 units
Distance of point E of rectangle EFGH = 5 units
Similarly, all the vertices of the rectangles ABCD and EFGH are equidistant from the y-axis.
Therefore, rectangle ABCD and rectangle EFGH may overlap each other by reflecting each other across y-axis.
Let's check by the rule of reflection,
Rule for the reflection of a point (x, y) across y-axis is given by,
(x, y) → (-x, y)
Following this rule,
A(-5, 5) → E(5, 5)
B(-3, 4) → F(3, 4)
C(-4, 1) → G(4, 1)
D(-6, 2) → H(6, 2)
Therefore, rule for the reflection is applicable in this question.
Option A will be the answer.
Answer:
Step-by-step explanation:
Let the current display rate be f (in frames per second). If the new computer is 40% faster, then the new display rate will be 1.40f (frames per second).