Answer:
d = 17
Step-by-step explanation:
d = √ (9 − 1) 2 + (15− 0)^2
d = √ (8) ^2 + (15) ^2
d = √ 64 + 225
d = √289
d = 17
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: 12 boys at the movie
Step-by-step explanation:
The ratio of boys to girls is 4:7. There are 21 girls at the movie. This is 3 times more than the simplified ratio of girls to boys. Thus, to find the answer, multiply 4 by 3 to get 12 boys at the movie.
Answer:
x = 11
Step-by-step explanation:
x - 3 = 8 add 3 to both sides
x + 3 -3 = 8 + 3 the 3s cancel each other out, 8 + 3 = 11
x = 11
