Answer:
AC ≈ 12.9 cm
Step-by-step explanation:
Using the ratio
sin40° = 
Multiply both sides by 20
20 × sin40° = b, hence
AC = b = 20 × sin40° ≈ 12.9
Answer:
83.74 in squared
Step-by-step explanation:
The area of the original rectangle is: 14 * 8 = 112 in squared.
The area of a circle is
, where r is the radius. In this case, we know the diameter is 6, so the radius is 3. Then, the area of the circle is:
3.14 * 3^2 = 3.14 * 9 = 28.26 in squared.
The remaining area is just the total minus the circle area:
112 - 28.26 = 83.74 in squared
Answer:
Slope of PV = -4
Step-by-step explanation:
Coordinates of the vertices of the given triangle PSV,
P → (2, 4)
S → (3, 4)
V → (3, 0)
Slope of the segment between two points
and
is given by,
Slope = 
Therefore, slope of segment PV will be,
Slope = 
= -4
Slope of PV = -4
Answer:

you can solve problems by this equation
Since the sum of third side of a triangle is smaller than the sum of other two sides
So n<12+5
n<17