Answer:
Step-by-step explanation:
The formula for determining the the area of a sector is expressed as
Area of Sector = θ/360 × πr²
Where
θ represents the central angle.
π is a constant whose value is 3.14
r represents the radius of the circle.
From the information given,
The central angle is π/7 radian. Converting to degrees, it becomes
π/7 × 180/π = 180/7 = 25.714 degrees.
Area of sector = 77 square meters
Therefore
77 = 25.714/360 × 3.14 × r²
77 = 0.2243r²
r² = 77/0.2243 = 343.29
r = √343.29 = 18.53 meters
Answer:
15
Step-by-step explanation:
If A||B then the sum of given angles must be equal to 180°
2x + 5 + 5x - 80 = 180 add like terms
7x - 75 = 180 subtract 75 from both sides
7x = 105 divide both sides by 7
x = 15
Answer:
(2, 10)
Step-by-step explanation:
Making the points on a graph and creating a line between them, you can see the equation to connect the two points is -3x + 16. Then, because the points are 5 units apart horizontally, go to the point that is 4 units left of point T (1/4 of the way between T and S) and that is your point: (2, 10)
I apologize if this is incorrect :)
Step-by-step explanation:
You didn't give the box plot, but to obtain the percentage of people between 20 and 37 years old, first of all, find the total number of people, T. Next, find the total number of people between 20 and 37 years old, t.
Then the percentage we want to find is:
P = T/t × 100
Answer:
S ≈ 16.49 cm and R ≈ 16.76 cm
Step-by-step explanation:
We are given that:
Length = 16 cm
Width = 4 cm
Height = 3 cm
Thus,
The diagonal S of the bottom side is given by pythagoras theorem;
S² = 16² + 4²
S² = 256 + 16
S² = 272
S = √272
S ≈ 16.49 cm
Since we now have the bottom diagonal, then we can use Pythagoras Theorem to find the diagonal "R" of the box:
So, R² = S² + 3²
R² = (√272)² + 9
R² = 272 + 9
R = √281
R ≈ 16.76 cm
