Answer:
Area of the shaded part is 3.14 square unit.
Step-by-step explanation:
Area of the shaded part = Area of large semicircle - (Area of two small semi circles)
Area of large semicircle with center O = 
= 
= 2π
Area of semicircle with center O' = 
= 
Area of semicircle with center O" =
Now substitute these values in the formula,
Area of shaded part = 
= 
= 3.14 square unit
Area of the shaded part is 3.14 square unit.
Answer:
option D is true.
Step-by-step explanation:
Given the sequence
7, 12, 17, 22, ...
An arithmetic sequence has a constant difference 'd' and is defined by
Computing the differences of all the adjacent terms
The difference between all the adjacent terms is the same
so
as
Thus, the nth term of the arithmetic sequence will be:
Therefore, option D is true.
Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC = 
= 
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base = 
= 
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
Answer:
∡RST
∡S
∡TSR
∡4
this appears to be an obtuse angle
Step-by-step explanation:
∡RST
∡S
∡TSR
∡4
this appears to be an obtuse angle
