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.
Answer:
x = - 3 and x = 1
Step-by-step explanation:
Given the rational expression

The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Thus x = 1 and x = - 3 are both excluded values
2(2y^4 + 7y^3 - 4y^2 -20)
___________________
Y^2
4y^2 - 40/y^2 + 14y - 8
2(-2y^4 - 7y^3 + 4y^2 + 20)
_ _____________________
Y^2
Given that a certain antihistamine is often prescribed for allergies.
And typical dose for 100-pound person is 25 mg every 6 hours.
a) Let us calculate dose per 1 hour for 100-pound person= 
Since 1 week means 7X24= 168 hours, dosage per 1 week = dosage per 168 hours

The number of 12.8 chew able tablets would be taken in a week= 
Hence number of 12.8mg chew able tablets would be taken in a week is 55.
b) Now we can use earlier answer for this problem, since 12.8mg tablet is replaced with 9ml liquid, 55 bottles of 9ml liquid are to be taken in a week.
Hence amount of liquid histamine should a 100-pound person take in a week = 55X9
=495ml
Answer:
The box is considered a cube so,
4 x 4 = 16
56 divided by 16 = 3.5 is your height
1/2 x 1/2 x 1/2 = 1/8.
56 divided by 1/8 = 7 cubes