Answer:
<h3>3.5ft</h3>
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the complete question in the diagram attached.
Area of a sector = θ/360 * πr² where;
r is the radius
θ is the angle substended by the sector
Given parameters
Area of the sector = 9ft²
central angle θ = 1.5 radians
Since 1 radians = 57.2958°
1.5 radians = (1.5 * 57.2958)
1.5 rad = 85.9437°
Substituting the given values into the formula;
Area of a sector = θ/360 * πr²
9 = 85.9437/360 * (3.14)r²
9 = 0.2387325 * 3.14r²
9 = 0.74962005r²
r² = 9/0.74962005
r² = 12.00608
r = √12.00608
r = 3.4641
r = 3.5 ft (to the nearest tenth)
Hence the radius of the circle is 3.5ft
Answer:
12.73
Step-by-step explanation:
$63.64 * .20 = 12.73
Answer: B. 105 mph
Step-by-step explanation:
Answer:
B = 61°
A = 29°
a = 10
Step-by-step explanation:
We are given;
c = 16, b = 14
Since we are told that C is a right angle, it means that C = 90°
Thus using sine rule, we have;
c/sin C = b/sin B
16/sin 90 = 14/sin B
16/1 = 14/sin B
sin B = 14/16
sin B = 0.875
B = sin^(-1) 0.875
B ≈ 61°
Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.
Thus, from pythagoras theorem, If the other side of the triangle is a, then;
a² + b² = c²
a² + 14² = 16²
a² = 16² - 14²
a² = 256 - 156
a² = 100
a = √100
a = 10
Since we know B and C, we can find A because sum of angles in a triangle is 180°.
Thus;
A = 180 - (B + C)
A = 180 - (61 + 90)
A = 29°
Answer:
Step-by-step explanation:
2x + 17.6 = 6
Subtracting both sides by 17.6
2x = 6 - 17.6
2x = -11.6
Dividing both sides by 2
x = -11.6 / 2
x = -5.8
