Answer:
- 150π ft²
- 10π ft.
Step-by-step explanation:
Area of the sector :

Finding the area given r = 30 ft. and θ = 60° :
⇒ Area = π × (30)² × 60/360
⇒ Area = π × 900/6
⇒ Area = 150π ft²
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Length of the arc :

Finding the arc length given r = 30 ft. and θ = 60° :
⇒ Arc Length = 2 × π × 30 × 60/360
⇒ Arc Length = 60/6 × π
⇒ Arc Length = 10π ft.
The formula for perimeter is:
<span>P = 2 h + 2 w</span>
where P is perimeter = 120 cm, h is height, w is width
we are also given that: h = (2/3) w, therefore:
P = 2 (2/3) w + 2 w = 120
(4/3) w + 2 w = 120
w = 36 cm
Therefore l is:
l = (2/3) w = 24 cm
<span>Hence the dimension should be 24cm by 36 cm</span>
Answer:
7&8 both true
9 is false
Step-by-step explanation:
tghdhfshj
Answer:
5 miles
Step-by-step explanation:
14 - 8.37 means his car still had 5.63 gallons
27.6/5.63 = 4.9
Answer:
a. Negative discriminant: above
b. Positive discriminant: below
c. Discriminant is zero: on
Step-by-step explanation:
If the discriminant is negative, then there are no real zeros. We have an upward-facing parabola, then the vertex is located above the x-axis
If the discriminant is positive, then there are two different real zeros. We have an upward-facing parabola, then the vertex is located below the x-axis
If the discriminant is zero, then there is one zero. We have an upward-facing parabola, then the vertex is located on the x-axis