Answer:
area of the sector = 360π cm²
Step-by-step explanation:
To calculate the area of the sector, we will follow the steps below;
First write down the formula for calculating the area of a sector.
If angle Ф is measured in degree, then
area of sector = Ф/360 × πr²
but if angle Ф is measured in radians, then
area of sector = 1/2 × r² × Ф
In this case the angle is measured in radiance, hence we will use the second formula
From the question given, radius = 15 cm and angle Ф = 8π/5
area of sector = 1/2 × r² × Ф
=1/2 × 15² × 8π/5
=1/2 ×225 × 8π/5
=360π cm²
area of the sector = 360π cm²
Answer:
S₃ = 37
Step-by-step explanation:
given a₁ = 16 and r =
, then
a₂ = a₁ ×
= 16 ×
= 12
a₃ = a₂ ×
= 12 ×
= 9
then
S₃ = a₁ + a₂ + a₃ = 16 + 12 + 9 = 37
Answer:
J 62
Step-by-step explanation:
The sum of the exterior angles of a polygon is 360 degrees
<1 + 60+90+44+104 = 360
Combine like terms
< 1 +298 = 360
Subtract 298 from each side
<1 +298-298 = 360-298
<1 = 62
Answer:
- 
Step-by-step explanation:
Step 1: Add the numerator fractions.
2/5 + 3/10
Here we have to find LCD, the LCD of 5 and 10 is 10
(2*2) + 3 4 + 3
Therefore, 2/5 + 3/10 = --------------- = ------------------
10 10
= 7/10
Step 2: Now substitute 2/5 + 3/10 = 7/10 in the given fraction, we get
7/10
= ----------
-7/9
If we have fraction over fraction, we have to find the reciprocal of denominator fraction and multiply.
The reciprocal of -7/9 is -9/7
Step 3: Now multiply 13/10 and -9/7
= (7/10) x (-9/7)
= -9/10
=-9/10
The answer is -