Answer:
31.4 Square Inches
Step-by-step explanation:
Given a sector of a circle with the following dimensions:
Radius of the circle =6 inches
Central Angle of the sector =100°


Answer:
(a) 64°
(b) Yes, the ladder will be safe the ingredients will be used.
Step-by-step explanation:
(a) Trigonometric function of Sine is the appropriate formula to use to solve this question. The formula is given as:
sin θ = Opposite/Hypotenuse
θ = Angle formed with the ground = ?
Opposite = 27 ft
Hypotenuse = 30 ft
Hence,
sin θ = 27 /30
θ = arc sin (27/30)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
64° is less than 70=
64° < 70°
Hence, the ladder will be safe the way it is positioned.
Answer:
<h2>
E) 84</h2><h2 />
Step-by-step explanation:
side AB is congruent to side AX
this means that the angle ∠A = 4x is the same angle as ∠Z
therefore ∠A = ∠Z = 4x
inside angle of a triangle = 180
∠A + ∠B + ∠Z = 180
4x + 7x + 4x = 180
15x = 180
x = 180/15
x = 12
now substitute x = 12 into angle B
∠B = 7x
∠B = 7 (12)
∠B = 84
therefore, the answer is E) 84
Answer:
2
Step-by-step explanation:
Fist lets find the % of people using boats
100%- (36+53+2)= 9%
then find the number of people of 9%
200= 100%
B=9%
100B=200x9
B= 18